C. J. Wright, N. Biederman, B. Gyovai, D. J. Gauthier, J. P. Wilhelm
Machine learning was applied to create a digital twin of a numerical simulation of a single-scroll jet engine. A similar model based on the insights gained from this numerical study was used to create a digital twin of a JetCat P100-RX jet engine using only experimental data. Engine data was collected from a custom sensor system measuring parameters such as thrust, exhaust gas temperature, shaft speed, weather conditions, etc. Data was gathered while the engine was placed under different test conditions by controlling shaft speed. The machine learning model was generated (trained) using a next-generation reservoir computer, a best-in-class machine learning algorithm for dynamical systems. Once the model was trained, it was used to predict behavior it had never seen with an accuracy of better than 1.8% when compared to the testing data.
{"title":"Small jet engine reservoir computing digital twin","authors":"C. J. Wright, N. Biederman, B. Gyovai, D. J. Gauthier, J. P. Wilhelm","doi":"arxiv-2312.09978","DOIUrl":"https://doi.org/arxiv-2312.09978","url":null,"abstract":"Machine learning was applied to create a digital twin of a numerical\u0000simulation of a single-scroll jet engine. A similar model based on the insights\u0000gained from this numerical study was used to create a digital twin of a JetCat\u0000P100-RX jet engine using only experimental data. Engine data was collected from\u0000a custom sensor system measuring parameters such as thrust, exhaust gas\u0000temperature, shaft speed, weather conditions, etc. Data was gathered while the\u0000engine was placed under different test conditions by controlling shaft speed.\u0000The machine learning model was generated (trained) using a next-generation\u0000reservoir computer, a best-in-class machine learning algorithm for dynamical\u0000systems. Once the model was trained, it was used to predict behavior it had\u0000never seen with an accuracy of better than 1.8% when compared to the testing\u0000data.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138715346","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}
Kevin O'Keeffe, Gourab Kumar Sar, Md Sayeed Anwar, Joao U. F. Lizárraga, Marcus A. M. de Aguiar, Dibakar Ghosh
Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems which mix synchrony with self-assembly, they remain poorly understood theoretically. Here we obtain the first analytic results on swarmalators moving in two-dimensional (2D) plane by enforcing periodic boundary conditions; this simpler topology allows expressions for order parameters, stabilities, and bifurcations to be derived exactly. We suggest some future directions for swarmalator research and point out some connections to the Kuramoto model and the Vicsek model from active matter; these are intended as a call-to-arms for the sync community and other researchers looking for new problems and puzzles to work on.
{"title":"A solvable two-dimensional swarmalator mode","authors":"Kevin O'Keeffe, Gourab Kumar Sar, Md Sayeed Anwar, Joao U. F. Lizárraga, Marcus A. M. de Aguiar, Dibakar Ghosh","doi":"arxiv-2312.10178","DOIUrl":"https://doi.org/arxiv-2312.10178","url":null,"abstract":"Swarmalators are oscillators that swarm through space as they synchronize in\u0000time. Introduced a few years ago to model many systems which mix synchrony with\u0000self-assembly, they remain poorly understood theoretically. Here we obtain the\u0000first analytic results on swarmalators moving in two-dimensional (2D) plane by\u0000enforcing periodic boundary conditions; this simpler topology allows\u0000expressions for order parameters, stabilities, and bifurcations to be derived\u0000exactly. We suggest some future directions for swarmalator research and point\u0000out some connections to the Kuramoto model and the Vicsek model from active\u0000matter; these are intended as a call-to-arms for the sync community and other\u0000researchers looking for new problems and puzzles to work on.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138744626","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}
Henrique M. Borges, Víıtor V. Vasconcelos, Flávio L. Pinheiro
Recently, social debates have been marked by increased polarization of social groups. Such polarization not only implies that groups cannot reach a consensus on fundamental questions but also materializes in more modular social spaces/networks that further amplify the risks of polarization in less polarizing topics. How can network adaptation bridge different communities when individuals reveal homophilic or heterophilic social rewiring preferences? Here, we consider information diffusion processes that capture a continuum from simple to complex contagion processes. We use a computational model to understand how fast and to what extent individual rewiring preferences bridge initially weakly connected communities and how likely it is for them to reach a consensus. We show that homophilic and heterophilic rewiring have different impacts depending on the type of opinion spread. First, in the case of complex opinion diffusion, we show that even polarized social networks can reach a population-wide consensus without reshaping their underlying network. When polarized social structures amplify opinion polarization, heterophilic rewiring preferences play a key role in creating bridges between communities and facilitating a population-wide consensus. Secondly, in the case of simple opinion diffusion, homophilic rewiring preferences are more capable of fostering consensus and avoiding a co-existence (dynamical polarization) of opinions. Hence, across a broad profile of simple and complex opinion diffusion processes, only a mix of heterophilic and homophilic rewiring preferences avoids polarization and promotes consensus.
{"title":"How Social Rewiring Preferences Bridge Polarized Communities","authors":"Henrique M. Borges, Víıtor V. Vasconcelos, Flávio L. Pinheiro","doi":"arxiv-2312.08088","DOIUrl":"https://doi.org/arxiv-2312.08088","url":null,"abstract":"Recently, social debates have been marked by increased polarization of social\u0000groups. Such polarization not only implies that groups cannot reach a consensus\u0000on fundamental questions but also materializes in more modular social\u0000spaces/networks that further amplify the risks of polarization in less\u0000polarizing topics. How can network adaptation bridge different communities when\u0000individuals reveal homophilic or heterophilic social rewiring preferences?\u0000Here, we consider information diffusion processes that capture a continuum from\u0000simple to complex contagion processes. We use a computational model to\u0000understand how fast and to what extent individual rewiring preferences bridge\u0000initially weakly connected communities and how likely it is for them to reach a\u0000consensus. We show that homophilic and heterophilic rewiring have different\u0000impacts depending on the type of opinion spread. First, in the case of complex\u0000opinion diffusion, we show that even polarized social networks can reach a\u0000population-wide consensus without reshaping their underlying network. When\u0000polarized social structures amplify opinion polarization, heterophilic rewiring\u0000preferences play a key role in creating bridges between communities and\u0000facilitating a population-wide consensus. Secondly, in the case of simple\u0000opinion diffusion, homophilic rewiring preferences are more capable of\u0000fostering consensus and avoiding a co-existence (dynamical polarization) of\u0000opinions. Hence, across a broad profile of simple and complex opinion diffusion\u0000processes, only a mix of heterophilic and homophilic rewiring preferences\u0000avoids polarization and promotes consensus.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138631847","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}
We present a case study of swarmalators (mobile oscillators) which move on a 1D ring and are subject to pinning. Previous work considered the special case where the pinning in space and the pinning in the phase dimension were correlated. Here we study the general case where the space and phase pinning are uncorrelated, both being chosen uniformly at random. This induces several new effects, such as pinned async, mixed states, and a first order phase transition. These phenomena may be found in real world swarmalators such as systems of vinegar eels, Janus matchsticks, electrorotated Quincke rollers or Japanese tree frogs.
{"title":"Swarmalators on a ring with uncorrelated pinning","authors":"Gourab Kumar Sar, Kevin O'Keeffe, Dibakar Ghosh","doi":"arxiv-2312.07014","DOIUrl":"https://doi.org/arxiv-2312.07014","url":null,"abstract":"We present a case study of swarmalators (mobile oscillators) which move on a\u00001D ring and are subject to pinning. Previous work considered the special case\u0000where the pinning in space and the pinning in the phase dimension were\u0000correlated. Here we study the general case where the space and phase pinning\u0000are uncorrelated, both being chosen uniformly at random. This induces several\u0000new effects, such as pinned async, mixed states, and a first order phase\u0000transition. These phenomena may be found in real world swarmalators such as\u0000systems of vinegar eels, Janus matchsticks, electrorotated Quincke rollers or\u0000Japanese tree frogs.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138632015","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}
Madhur Mangalam, Aaron D Likens, Damian G Kelty-Stephen
Multifractal formalisms provide an apt framework to study random cascades in which multifractal spectrum width $Deltaalpha$ fluctuates depending on the number of estimable power-law relationships. Then again, multifractality without surrogate comparison can be ambiguous: the original measurement series' multifractal spectrum width $Deltaalpha_mathrm{Orig}$ can be sensitive to the series length, ergodicity-breaking linear temporal correlations (e.g., fractional Gaussian noise, $fGn$), or additive cascade dynamics. To test these threats, we built a suite of random cascades that differ by the length, type of noise (i.e., additive white Gaussian noise, $awGn$, or $fGn$), and mixtures of $awGn$ or $fGn$ across generations (progressively more $awGn$, progressively more $fGn$, and a random sampling by generation), and operations applying noise (i.e., addition vs. multiplication). The so-called ``multifractal nonlinearity'' $t_mathrm{MF}$ (i.e., a $t$-statistic comparing $Deltaalpha_mathrm{Orig}$ and multifractal spectra width for phase-randomized linear surrogates $Deltaalpha_mathrm{Surr}$) is a robust indicator of random multiplicative rather than random additive cascade processes irrespective of the series length or type of noise. $t_mathrm{MF}$ is more sensitive to the number of generations than the series length. Furthermore, the random additive cascades exhibited much stronger ergodicity breaking than all multiplicative analogs. Instead, ergodicity breaking in random multiplicative cascades more closely followed the ergodicity-breaking of the constituent noise types -- breaking ergodicity much less when arising from ergodic $awGn$ and more so for noise incorporating relatively more correlated $fGn$. Hence, $t_mathrm{MF}$ is a robust multifractal indicator of multiplicative cascade processes and not spuriously sensitive to ergodicity breaking.
{"title":"Multifractal nonlinearity as a robust estimator of multiplicative cascade dynamics","authors":"Madhur Mangalam, Aaron D Likens, Damian G Kelty-Stephen","doi":"arxiv-2312.05653","DOIUrl":"https://doi.org/arxiv-2312.05653","url":null,"abstract":"Multifractal formalisms provide an apt framework to study random cascades in\u0000which multifractal spectrum width $Deltaalpha$ fluctuates depending on the\u0000number of estimable power-law relationships. Then again, multifractality\u0000without surrogate comparison can be ambiguous: the original measurement series'\u0000multifractal spectrum width $Deltaalpha_mathrm{Orig}$ can be sensitive to\u0000the series length, ergodicity-breaking linear temporal correlations (e.g.,\u0000fractional Gaussian noise, $fGn$), or additive cascade dynamics. To test these\u0000threats, we built a suite of random cascades that differ by the length, type of\u0000noise (i.e., additive white Gaussian noise, $awGn$, or $fGn$), and mixtures of\u0000$awGn$ or $fGn$ across generations (progressively more $awGn$, progressively\u0000more $fGn$, and a random sampling by generation), and operations applying noise\u0000(i.e., addition vs. multiplication). The so-called ``multifractal\u0000nonlinearity'' $t_mathrm{MF}$ (i.e., a $t$-statistic comparing\u0000$Deltaalpha_mathrm{Orig}$ and multifractal spectra width for\u0000phase-randomized linear surrogates $Deltaalpha_mathrm{Surr}$) is a robust\u0000indicator of random multiplicative rather than random additive cascade\u0000processes irrespective of the series length or type of noise. $t_mathrm{MF}$\u0000is more sensitive to the number of generations than the series length.\u0000Furthermore, the random additive cascades exhibited much stronger ergodicity\u0000breaking than all multiplicative analogs. Instead, ergodicity breaking in\u0000random multiplicative cascades more closely followed the ergodicity-breaking of\u0000the constituent noise types -- breaking ergodicity much less when arising from\u0000ergodic $awGn$ and more so for noise incorporating relatively more correlated\u0000$fGn$. Hence, $t_mathrm{MF}$ is a robust multifractal indicator of\u0000multiplicative cascade processes and not spuriously sensitive to ergodicity\u0000breaking.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138575474","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}
We introduce a delay differential equation that manifests a distinctive dynamical behavior. Specifically, the transient dynamics of this equation demonstrate a unique ``reviving" amplitude phenomenon within certain ranges of delay values. In this intriguing phenomenon, the amplitude initially decreases towards a fixed point until a specific time point, after which it ultimately diverges. Our analysis encompasses both analytical and numerical approaches, incorporating an approximation using the Lambert W function. The derived approximate solution effectively captures the qualitative aspects of the reviving dynamics across various delay values.
我们引入了一个延迟微分方程，它表现出一种独特的动力学行为。具体来说，该方程的瞬态动力学在一定的延迟值范围内表现出独特的 "复苏 "振幅现象。在这一引人入胜的现象中，振幅最初会向一个固定点下降，直到一个特定的时间点，之后振幅最终会发散。我们的分析包括分析和数值方法，并使用兰伯特 W 函数进行近似。推导出的近似解有效地捕捉到了不同延迟值下的生存动力学的定性方面。
{"title":"Reviving Delayed Dynamics","authors":"Kenta Ohira, Toru Ohira","doi":"arxiv-2312.04848","DOIUrl":"https://doi.org/arxiv-2312.04848","url":null,"abstract":"We introduce a delay differential equation that manifests a distinctive\u0000dynamical behavior. Specifically, the transient dynamics of this equation\u0000demonstrate a unique ``reviving\" amplitude phenomenon within certain ranges of\u0000delay values. In this intriguing phenomenon, the amplitude initially decreases\u0000towards a fixed point until a specific time point, after which it ultimately\u0000diverges. Our analysis encompasses both analytical and numerical approaches,\u0000incorporating an approximation using the Lambert W function. The derived\u0000approximate solution effectively captures the qualitative aspects of the\u0000reviving dynamics across various delay values.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138567266","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}
A minimal model for reservoir computing is studied. We demonstrate that a reservoir computing exists that emulates given coupled maps by constructing a modularised network. We describe a possible mechanism for collapses of the emulation in the reservoir computing. Such transitory behaviour is caused by either (i) a finite-time stagnation near an unstable chaotic set, or (ii) a critical transition driven by the effective parameter drift. Our approach reveals the essential mechanism for reservoir computing and provides insights into the design of reservoir computing for practical applications.
{"title":"Minimal Model for Reservoir Computing","authors":"Yuzuru Sato, Miki Kobayashi","doi":"arxiv-2312.01089","DOIUrl":"https://doi.org/arxiv-2312.01089","url":null,"abstract":"A minimal model for reservoir computing is studied. We demonstrate that a\u0000reservoir computing exists that emulates given coupled maps by constructing a\u0000modularised network. We describe a possible mechanism for collapses of the\u0000emulation in the reservoir computing. Such transitory behaviour is caused by\u0000either (i) a finite-time stagnation near an unstable chaotic set, or (ii) a\u0000critical transition driven by the effective parameter drift. Our approach\u0000reveals the essential mechanism for reservoir computing and provides insights\u0000into the design of reservoir computing for practical applications.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"22 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138523562","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}
We investigated the synchronization phenomena of the oscillatory flows in two parallelly connected Starling resistors, which are an ideal model system of two coupled collapsible tubes merging into a single tube downstream. The stable synchronization modes depended on the distance between the deformable region and the merging point; only an in-phase mode was stable for the large distance, in-phase and anti-phase modes were bistable for the middle distance, and again only an in-phase mode was stable for the small distance. An anti-phase mode became stable through the subcritical pitchfork bifurcation by decreasing the distance. Further decreasing the distance, the anti-phase mode became unstable through the subcritical Neimark-Sacker bifurcation. We also clarified the distance dependence of the amplitude and frequency for each stable synchronization mode.
{"title":"Synchronized oscillatory flows in two parallelly connected Starling resistors","authors":"Yuki Araya, Hiroaki Ito, Hiroyuki Kitahata","doi":"arxiv-2311.17570","DOIUrl":"https://doi.org/arxiv-2311.17570","url":null,"abstract":"We investigated the synchronization phenomena of the oscillatory flows in two\u0000parallelly connected Starling resistors, which are an ideal model system of two\u0000coupled collapsible tubes merging into a single tube downstream. The stable\u0000synchronization modes depended on the distance between the deformable region\u0000and the merging point; only an in-phase mode was stable for the large distance,\u0000in-phase and anti-phase modes were bistable for the middle distance, and again\u0000only an in-phase mode was stable for the small distance. An anti-phase mode\u0000became stable through the subcritical pitchfork bifurcation by decreasing the\u0000distance. Further decreasing the distance, the anti-phase mode became unstable\u0000through the subcritical Neimark-Sacker bifurcation. We also clarified the\u0000distance dependence of the amplitude and frequency for each stable\u0000synchronization mode.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"73 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138523563","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}
Johnny Jingze Li, Sebastian Prado Guerra, Kalyan Basu, Gabriel Silva
Emergent effect is crucial to the understanding of properties of complex systems that do not appear in their basic units, but there has been a lack of theories to measure and understand its mechanisms. In this paper, we established a framework based on homological algebra that formulates emergence as the mathematical structure of derived functors, and then applied it to network models to develop a computational measure of emergence. This framework ties the emergence of a system to its network topology and local structures, paving the way to predict and understand the cause of emergent effects. We show in our numerical result that our measure of emergence correlates with the existing information-theoretic measure of emergence as information loss.
{"title":"A categorical framework for quantifying emergent effects in network topology","authors":"Johnny Jingze Li, Sebastian Prado Guerra, Kalyan Basu, Gabriel Silva","doi":"arxiv-2311.17403","DOIUrl":"https://doi.org/arxiv-2311.17403","url":null,"abstract":"Emergent effect is crucial to the understanding of properties of complex\u0000systems that do not appear in their basic units, but there has been a lack of\u0000theories to measure and understand its mechanisms. In this paper, we\u0000established a framework based on homological algebra that formulates emergence\u0000as the mathematical structure of derived functors, and then applied it to\u0000network models to develop a computational measure of emergence. This framework\u0000ties the emergence of a system to its network topology and local structures,\u0000paving the way to predict and understand the cause of emergent effects. We show\u0000in our numerical result that our measure of emergence correlates with the\u0000existing information-theoretic measure of emergence as information loss.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"20 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138523565","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}
This brief discusses evolutionary game theory as a powerful and unified mathematical tool to study evolution of collective behaviours. It summarises some of my recent research directions using evolutionary game theory methods, which include i) the analysis of statistical properties of the number of (stable) equilibria in a random evolutionary game, and ii) the modelling of safety behaviours' evolution and the risk posed by advanced Artificial Intelligence technologies in a technology development race. Finally, it includes an outlook and some suggestions for future researchers.
{"title":"Evolutionary game theory: the mathematics of evolution and collective behaviours","authors":"The Anh Han","doi":"arxiv-2311.14480","DOIUrl":"https://doi.org/arxiv-2311.14480","url":null,"abstract":"This brief discusses evolutionary game theory as a powerful and unified\u0000mathematical tool to study evolution of collective behaviours. It summarises\u0000some of my recent research directions using evolutionary game theory methods,\u0000which include i) the analysis of statistical properties of the number of\u0000(stable) equilibria in a random evolutionary game, and ii) the modelling of\u0000safety behaviours' evolution and the risk posed by advanced Artificial\u0000Intelligence technologies in a technology development race. Finally, it\u0000includes an outlook and some suggestions for future researchers.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"103 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138523531","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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