Ardhanareeswaran R Sree, Sudharsan S, Senthilvelan M, Dibakar Ghosh
We report a new mechanism through which extreme events with a dragon king-like distribution emerge in a network of locally coupled Hindmarsh-Rose bursting neurons. We establish and substantiate the fact that depending on the choice of initial conditions, the neurons in the network are divided into clusters and whenever these clusters are phase synchronized intermittently, extreme events originate in the collective observable. This mechanism, which we name as intermittent cluster synchronization is proposed as the new precursor for the generation of extreme events in this system. These results are also true for electrical diffusive coupling. The distribution of the local maxima shows long tailed non-Gaussian while the interevent interval follows the Weibull distribution. The goodness of fit are corroborated using probability-probability plot and quantile-quantile plot. These extreme events become rarer and rarer with the increase in the number of different initial conditions.
{"title":"Extreme events in locally coupled bursting neurons","authors":"Ardhanareeswaran R Sree, Sudharsan S, Senthilvelan M, Dibakar Ghosh","doi":"arxiv-2408.06805","DOIUrl":"https://doi.org/arxiv-2408.06805","url":null,"abstract":"We report a new mechanism through which extreme events with a dragon\u0000king-like distribution emerge in a network of locally coupled Hindmarsh-Rose\u0000bursting neurons. We establish and substantiate the fact that depending on the\u0000choice of initial conditions, the neurons in the network are divided into\u0000clusters and whenever these clusters are phase synchronized intermittently,\u0000extreme events originate in the collective observable. This mechanism, which we\u0000name as intermittent cluster synchronization is proposed as the new precursor\u0000for the generation of extreme events in this system. These results are also\u0000true for electrical diffusive coupling. The distribution of the local maxima\u0000shows long tailed non-Gaussian while the interevent interval follows the\u0000Weibull distribution. The goodness of fit are corroborated using\u0000probability-probability plot and quantile-quantile plot. These extreme events\u0000become rarer and rarer with the increase in the number of different initial\u0000conditions.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222579","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Matheus Rolim Sales, Michele Mugnaine, Edson Denis Leonel, Iberê L. Caldas, José Danilo Szezech Jr
An interesting feature in dissipative nonlinear systems is the emergence of characteristic domains in parameter space that exhibit periodic temporal evolution, known as shrimp-shaped domains. We investigate the parameter space of the dissipative asymmetric kicked rotor map and show that, in the regime of strong dissipation, the shrimp-shaped domains repeat themselves as the nonlinearity parameter increases while maintaining the same period. We analyze the dependence of the length of each periodic domain with the nonlinearity parameter, revealing that it follows a power law with the same exponent regardless of the dissipation parameter. Additionally, we find that the distance between adjacent shrimp-shaped domains is scaling invariant with respect to the dissipation parameter. Furthermore, we show that for weaker dissipation, a multistable scenario emerges within the periodic domains. We find that as the dissipation gets weaker, the ratio of multistable parameters for each periodic domain increases, and the area of the periodic basin decreases as the nonlinearity parameter increases.
{"title":"Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map","authors":"Matheus Rolim Sales, Michele Mugnaine, Edson Denis Leonel, Iberê L. Caldas, José Danilo Szezech Jr","doi":"arxiv-2408.07167","DOIUrl":"https://doi.org/arxiv-2408.07167","url":null,"abstract":"An interesting feature in dissipative nonlinear systems is the emergence of\u0000characteristic domains in parameter space that exhibit periodic temporal\u0000evolution, known as shrimp-shaped domains. We investigate the parameter space\u0000of the dissipative asymmetric kicked rotor map and show that, in the regime of\u0000strong dissipation, the shrimp-shaped domains repeat themselves as the\u0000nonlinearity parameter increases while maintaining the same period. We analyze\u0000the dependence of the length of each periodic domain with the nonlinearity\u0000parameter, revealing that it follows a power law with the same exponent\u0000regardless of the dissipation parameter. Additionally, we find that the\u0000distance between adjacent shrimp-shaped domains is scaling invariant with\u0000respect to the dissipation parameter. Furthermore, we show that for weaker\u0000dissipation, a multistable scenario emerges within the periodic domains. We\u0000find that as the dissipation gets weaker, the ratio of multistable parameters\u0000for each periodic domain increases, and the area of the periodic basin\u0000decreases as the nonlinearity parameter increases.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Adrian S Wong, Christine M Greve, Daniel Q Eckhardt
The treatment of Hall-effect thrusters as nonlinear, dynamical systems has emerged as a new perspective to understand and analyze data acquired from the thrusters. The acquisition of high-speed data that can resolve the characteristic high-frequency oscillations of these thruster enables additional levels of classification in these thrusters. Notably, these signals may serve as unique indicators for the full state of the system that can aid digital representations of thrusters and predictions of thruster dynamics. In this work, a Reservoir Computing framework is explored to build surrogate models from experimental time-series measurements of a Hall-effect thruster. Such a framework has shown immense promise for predicting the behavior of low-dimensional yet chaotic dynamical systems. In particular, the surrogates created by the Reservoir Computing framework are capable of both predicting the observed behavior of the thruster and estimating the values of certain measurements from others, known as inference.
{"title":"Time-Resolved Data-Driven Surrogates of Hall-effect Thrusters","authors":"Adrian S Wong, Christine M Greve, Daniel Q Eckhardt","doi":"arxiv-2408.06499","DOIUrl":"https://doi.org/arxiv-2408.06499","url":null,"abstract":"The treatment of Hall-effect thrusters as nonlinear, dynamical systems has\u0000emerged as a new perspective to understand and analyze data acquired from the\u0000thrusters. The acquisition of high-speed data that can resolve the\u0000characteristic high-frequency oscillations of these thruster enables additional\u0000levels of classification in these thrusters. Notably, these signals may serve\u0000as unique indicators for the full state of the system that can aid digital\u0000representations of thrusters and predictions of thruster dynamics. In this\u0000work, a Reservoir Computing framework is explored to build surrogate models\u0000from experimental time-series measurements of a Hall-effect thruster. Such a\u0000framework has shown immense promise for predicting the behavior of\u0000low-dimensional yet chaotic dynamical systems. In particular, the surrogates\u0000created by the Reservoir Computing framework are capable of both predicting the\u0000observed behavior of the thruster and estimating the values of certain\u0000measurements from others, known as inference.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, given the inherent nature of dissipation in realistic dynamical systems, we explore the effects of dissipation within the context of fractional dynamics. Specifically, we consider the dissipative versions of two well known fractional maps: the Riemann-Liouville (RL) and the Caputo (C) fractional standard maps (fSMs). Both fSMs are two-dimensional nonlinear maps with memory given in action-angle variables $(I_n,theta_n)$; $n$ being the discrete iteration time of the maps. In the dissipative versions these fSMs are parameterized by the strength of nonlinearity $K$, the fractional order of the derivative $alphain(1,2]$, and the dissipation strength $gammain(0,1]$. In this work we focus on the average action $left< I_n right>$ and the average squared action $left< I_n^2 right>$ when~$Kgg1$, i.e. along strongly chaotic orbits. We first demonstrate, for $|I_0|>K$, that dissipation produces the exponential decay of the average action $left< I_n right> approx I_0exp(-gamma n)$ in both dissipative fSMs. Then, we show that while $left< I_n^2 right>_{RL-fSM}$ barely depends on $alpha$ (effects are visible only when $alphato 1$), any $alpha< 2$ strongly influences the behavior of $left< I_n^2 right>_{C-fSM}$. We also derive an analytical expression able to describe $left< I_n^2 right>_{RL-fSM}(K,alpha,gamma)$.
{"title":"Dissipative fractional standard maps: Riemann-Liouville and Caputo","authors":"J. A. Mendez-Bermudez, R. Aguilar-Sanchez","doi":"arxiv-2408.04861","DOIUrl":"https://doi.org/arxiv-2408.04861","url":null,"abstract":"In this study, given the inherent nature of dissipation in realistic\u0000dynamical systems, we explore the effects of dissipation within the context of\u0000fractional dynamics. Specifically, we consider the dissipative versions of two\u0000well known fractional maps: the Riemann-Liouville (RL) and the Caputo (C)\u0000fractional standard maps (fSMs). Both fSMs are two-dimensional nonlinear maps\u0000with memory given in action-angle variables $(I_n,theta_n)$; $n$ being the\u0000discrete iteration time of the maps. In the dissipative versions these fSMs are\u0000parameterized by the strength of nonlinearity $K$, the fractional order of the\u0000derivative $alphain(1,2]$, and the dissipation strength $gammain(0,1]$. In\u0000this work we focus on the average action $left< I_n right>$ and the average\u0000squared action $left< I_n^2 right>$ when~$Kgg1$, i.e. along strongly chaotic\u0000orbits. We first demonstrate, for $|I_0|>K$, that dissipation produces the\u0000exponential decay of the average action $left< I_n right> approx\u0000I_0exp(-gamma n)$ in both dissipative fSMs. Then, we show that while $left<\u0000I_n^2 right>_{RL-fSM}$ barely depends on $alpha$ (effects are visible only\u0000when $alphato 1$), any $alpha< 2$ strongly influences the behavior of\u0000$left< I_n^2 right>_{C-fSM}$. We also derive an analytical expression able to\u0000describe $left< I_n^2 right>_{RL-fSM}(K,alpha,gamma)$.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Discerning chaos in quantum systems is an important problem as the usual route of Lyapunov exponents in classical systems is not straightforward in quantum systems. A standard route is the comparison of statistics derived from model physical systems to those from random matrix theory (RMT) ensembles, of which the most popular is the nearest-neighbour-spacings distribution (NNSD), which almost always shows good agreement with chaotic quantum systems. However, even in these cases, the long-range statistics (like number variance, spectral rigidity etc.), which are also more difficult to calculate, often show disagreements with RMT. As such, a more stringent test for chaos in quantum systems, via an analysis of intermediate-range statistics is needed, which will additionally assess the extent of agreement with RMT universality. In this paper, we deduce the effective level-repulsion parameters and the corresponding Wigner-surmise-like results of the next-nearest-neighbor spacing distribution (nNNSD) for integrable systems (semi-Poissonian statistics) as well as the three classical quantum-chaotic Wigner-Dyson regimes, by stringent comparisons to numerical RMT models and benchmarking against our exact analytical results for $3times 3$ Gaussian matrix models, along with a semi-analytical form for the nNNSD in the Orthogonal-to-Unitary symmetry crossover. To illustrate the robustness of these RMT based results, we test these predictions against the nNNSD obtained from quantum chaotic models as well as disordered lattice spin models. This reinforces the Bohigas-Giannoni-Schmit and the Berry-Tabor conjectures, extending the associated universality to longer range statistics. In passing, we also highlight the equivalence of nNNSD in the apparently distinct Orthogonal-to-Unitary and diluted-Symplectic-to-Unitary crossovers.
{"title":"Beyond Nearest-neighbour Universality of Spectral Fluctuations in Quantum Chaotic and Complex Many-body Systems","authors":"Debojyoti Kundu, Santosh Kumar, Subhra Sen Gupta","doi":"arxiv-2408.04345","DOIUrl":"https://doi.org/arxiv-2408.04345","url":null,"abstract":"Discerning chaos in quantum systems is an important problem as the usual\u0000route of Lyapunov exponents in classical systems is not straightforward in\u0000quantum systems. A standard route is the comparison of statistics derived from\u0000model physical systems to those from random matrix theory (RMT) ensembles, of\u0000which the most popular is the nearest-neighbour-spacings distribution (NNSD),\u0000which almost always shows good agreement with chaotic quantum systems. However,\u0000even in these cases, the long-range statistics (like number variance, spectral\u0000rigidity etc.), which are also more difficult to calculate, often show\u0000disagreements with RMT. As such, a more stringent test for chaos in quantum\u0000systems, via an analysis of intermediate-range statistics is needed, which will\u0000additionally assess the extent of agreement with RMT universality. In this\u0000paper, we deduce the effective level-repulsion parameters and the corresponding\u0000Wigner-surmise-like results of the next-nearest-neighbor spacing distribution\u0000(nNNSD) for integrable systems (semi-Poissonian statistics) as well as the\u0000three classical quantum-chaotic Wigner-Dyson regimes, by stringent comparisons\u0000to numerical RMT models and benchmarking against our exact analytical results\u0000for $3times 3$ Gaussian matrix models, along with a semi-analytical form for\u0000the nNNSD in the Orthogonal-to-Unitary symmetry crossover. To illustrate the\u0000robustness of these RMT based results, we test these predictions against the\u0000nNNSD obtained from quantum chaotic models as well as disordered lattice spin\u0000models. This reinforces the Bohigas-Giannoni-Schmit and the Berry-Tabor\u0000conjectures, extending the associated universality to longer range statistics.\u0000In passing, we also highlight the equivalence of nNNSD in the apparently\u0000distinct Orthogonal-to-Unitary and diluted-Symplectic-to-Unitary crossovers.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Brian Baker-McEvilly, Surabhi Bhadauria, David Canales, Carolin Frueh
The Cislunar region is crucial for expanding human presence in space in the forthcoming decades. This paper presents a comprehensive review of recent and anticipated Earth-Moon missions, and ongoing space domain awareness initiatives. An introduction to the dynamics as well as periodic trajectories in the Cislunar realm is presented. Then, a review of modern Cislunar programs as well as smaller missions are compiled to provide insights into the key players pushing towards the Moon. Trends of Cislunar missions and practices are identified, including the identification of regions of interest, such as the South Pole and the Near-rectilinear halo orbit. Finally, a review of the current state and short-comings of space domain awareness (SDA) in the region is included, utilizing the regions of interest as focal points for required improvement. The SDA review is completed through the analysis of the Artemis 1 trajectory.
{"title":"A Comprehensive Review on Cislunar Expansion and Space Domain Awareness","authors":"Brian Baker-McEvilly, Surabhi Bhadauria, David Canales, Carolin Frueh","doi":"arxiv-2408.03261","DOIUrl":"https://doi.org/arxiv-2408.03261","url":null,"abstract":"The Cislunar region is crucial for expanding human presence in space in the\u0000forthcoming decades. This paper presents a comprehensive review of recent and\u0000anticipated Earth-Moon missions, and ongoing space domain awareness\u0000initiatives. An introduction to the dynamics as well as periodic trajectories\u0000in the Cislunar realm is presented. Then, a review of modern Cislunar programs\u0000as well as smaller missions are compiled to provide insights into the key\u0000players pushing towards the Moon. Trends of Cislunar missions and practices are\u0000identified, including the identification of regions of interest, such as the\u0000South Pole and the Near-rectilinear halo orbit. Finally, a review of the\u0000current state and short-comings of space domain awareness (SDA) in the region\u0000is included, utilizing the regions of interest as focal points for required\u0000improvement. The SDA review is completed through the analysis of the Artemis 1\u0000trajectory.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141969809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
An operation that maps one natural number to another can be considered as a dynamical system in $mathbb{N}^+$. Some of such systems, e.g. the mapping in the so-called 3x+1 problem proposed by Collatz, is conjectured to have a single global attractor, whereas other systems, e.g. linear congruence, could be ergodic. Here we demonstrate that an operation that is based on digital reversal, has a spectrum of dynamical behaviors, including 2-cycle, 12-cycle, periodic attractors with other cycle lengths, and diverging limiting dynamics that escape to infinity. This dynamical system has infinite number of cyclic attractors, and may have unlimited number of cycle lengths. It also has potentially infinite number of diverging trajectories with a recurrent pattern repeating every 8 steps. Although the transient time before settling on a limiting dynamics is relatively short, we speculate that transient times may not have an upper bound.
{"title":"Rich dynamical behaviors from a digital reversal operation","authors":"Yannis Almirantis, Wentian Li","doi":"arxiv-2408.02527","DOIUrl":"https://doi.org/arxiv-2408.02527","url":null,"abstract":"An operation that maps one natural number to another can be considered as a\u0000dynamical system in $mathbb{N}^+$. Some of such systems, e.g. the mapping in\u0000the so-called 3x+1 problem proposed by Collatz, is conjectured to have a single\u0000global attractor, whereas other systems, e.g. linear congruence, could be\u0000ergodic. Here we demonstrate that an operation that is based on digital\u0000reversal, has a spectrum of dynamical behaviors, including 2-cycle, 12-cycle,\u0000periodic attractors with other cycle lengths, and diverging limiting dynamics\u0000that escape to infinity. This dynamical system has infinite number of cyclic\u0000attractors, and may have unlimited number of cycle lengths. It also has\u0000potentially infinite number of diverging trajectories with a recurrent pattern\u0000repeating every 8 steps. Although the transient time before settling on a\u0000limiting dynamics is relatively short, we speculate that transient times may\u0000not have an upper bound.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"76 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Origami structures have been receiving a lot of attention from engineering and scientific researchers owing to their unique properties such as deployability, multi-stability, negative stiffness, etc. However, dynamic properties of origami structures have not been explored much due to a lack of validated analytical dynamic modeling approaches. Given the range of interesting properties and applications of origami structures, it is important to study the dynamic behavior of origami structures. In this study, a dynamic modeling approach for origami structures is presented considering distributed mass modeling, which has the potential to be a generalizable approach. In the proposed approach, stiffness is modeled using the bar and hinge modeling approach while the mass is modeled using the mass distribution approach. Various candidate mass distribution approaches were investigated by comparing their responses to the finite element method responses for various geometric conditions, loading and boundary conditions, and deformation modes. It was observed that a dynamic modeling approach with triangle circumcenter mass distribution was able to capture most of the dynamics satisfactorily consistently. Subsequently, a Miura-ori specimen was manufactured and its free vibration response was determined experimentally and then compared to the prediction of the analytical model. The comparison demonstrated that the analytical model was able to capture most of the dynamics in the longitudinal direction.
{"title":"Dynamic Behavior of Origami Structures: Computational and Experimental Study","authors":"Sudheendra Herkal, Satish Nagarajaiah, Glaucio Paulino","doi":"arxiv-2408.01889","DOIUrl":"https://doi.org/arxiv-2408.01889","url":null,"abstract":"Origami structures have been receiving a lot of attention from engineering\u0000and scientific researchers owing to their unique properties such as\u0000deployability, multi-stability, negative stiffness, etc. However, dynamic\u0000properties of origami structures have not been explored much due to a lack of\u0000validated analytical dynamic modeling approaches. Given the range of\u0000interesting properties and applications of origami structures, it is important\u0000to study the dynamic behavior of origami structures. In this study, a dynamic\u0000modeling approach for origami structures is presented considering distributed\u0000mass modeling, which has the potential to be a generalizable approach. In the\u0000proposed approach, stiffness is modeled using the bar and hinge modeling\u0000approach while the mass is modeled using the mass distribution approach.\u0000Various candidate mass distribution approaches were investigated by comparing\u0000their responses to the finite element method responses for various geometric\u0000conditions, loading and boundary conditions, and deformation modes. It was\u0000observed that a dynamic modeling approach with triangle circumcenter mass\u0000distribution was able to capture most of the dynamics satisfactorily\u0000consistently. Subsequently, a Miura-ori specimen was manufactured and its free\u0000vibration response was determined experimentally and then compared to the\u0000prediction of the analytical model. The comparison demonstrated that the\u0000analytical model was able to capture most of the dynamics in the longitudinal\u0000direction.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Beeraiah Thonti, Shruti Tandon, Premraj Durairaj, R. I. Sujith
We discover strange nonchaotic attractor (SNA) through experiments in an unforced system comprising turbulent reactive flow. While models suggest SNAs are common in dynamical systems, experimental observations are primarily limited to systems with external forcing. We observe SNA prior to the emergence of periodic oscillations from chaotic fluctuations. In complex systems, self-organization can lead to order, and inherent nonlinearity can induce chaos. The occurrence of SNA, which is nonchaotic yet nonperiodic in one such complex system, is intriguing.
我们在一个由湍流反应流组成的非强迫系统中通过实验发现了奇异非混沌吸引子（SNA）。虽然模型表明奇异非混沌吸引子在动力学系统中很常见，但实验观测主要局限于有外部强迫的系统。我们在混沌波动出现周期性振荡之前观察到了 SNA。在复杂系统中，自组织可能导致有序，而固有的非线性可能诱发混沌。在这样一个复杂系统中，非混沌但非周期性的 SNA 的出现令人好奇。
{"title":"Strange Nonchaotic Attractor in an Unforced Turbulent Reactive Flow System","authors":"Beeraiah Thonti, Shruti Tandon, Premraj Durairaj, R. I. Sujith","doi":"arxiv-2408.01131","DOIUrl":"https://doi.org/arxiv-2408.01131","url":null,"abstract":"We discover strange nonchaotic attractor (SNA) through experiments in an\u0000unforced system comprising turbulent reactive flow. While models suggest SNAs\u0000are common in dynamical systems, experimental observations are primarily\u0000limited to systems with external forcing. We observe SNA prior to the emergence\u0000of periodic oscillations from chaotic fluctuations. In complex systems,\u0000self-organization can lead to order, and inherent nonlinearity can induce\u0000chaos. The occurrence of SNA, which is nonchaotic yet nonperiodic in one such\u0000complex system, is intriguing.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ignacio García-Mata, Miguel A. Prado Reynoso, Rodrigo G. Cortiñas, Jorge Chávez-Carlos, Victor S. Batista, Lea F. Santos, Diego A. Wisniacki
The driven Kerr parametric oscillator, of interest to fundamental physics and quantum technologies, exhibits an excited state quantum phase transition (ESQPT) originating in an unstable classical periodic orbit. The main signature of this type of ESQPT is a singularity in the level density in the vicinity of the energy of the classical separatrix that divides the phase space into two distinct regions. The quantum states with energies below the separatrix are useful for quantum technologies, because they show a cat-like structure that protects them against local decoherence processes. In this work, we show how chaos arising from the interplay between the external drive and the nonlinearities of the system destroys the ESQPT and eventually eliminates the cat states. Our results demonstrate the importance of the analysis of theoretical models for the design of new parametric oscillators with ever larger nonlinearities.
{"title":"Chaos destroys the excited state quantum phase transition of the Kerr parametric oscillator","authors":"Ignacio García-Mata, Miguel A. Prado Reynoso, Rodrigo G. Cortiñas, Jorge Chávez-Carlos, Victor S. Batista, Lea F. Santos, Diego A. Wisniacki","doi":"arxiv-2408.00934","DOIUrl":"https://doi.org/arxiv-2408.00934","url":null,"abstract":"The driven Kerr parametric oscillator, of interest to fundamental physics and\u0000quantum technologies, exhibits an excited state quantum phase transition\u0000(ESQPT) originating in an unstable classical periodic orbit. The main signature\u0000of this type of ESQPT is a singularity in the level density in the vicinity of\u0000the energy of the classical separatrix that divides the phase space into two\u0000distinct regions. The quantum states with energies below the separatrix are\u0000useful for quantum technologies, because they show a cat-like structure that\u0000protects them against local decoherence processes. In this work, we show how\u0000chaos arising from the interplay between the external drive and the\u0000nonlinearities of the system destroys the ESQPT and eventually eliminates the\u0000cat states. Our results demonstrate the importance of the analysis of\u0000theoretical models for the design of new parametric oscillators with ever\u0000larger nonlinearities.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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