Chaos Solitons & Fractals最新文献

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Dynamic focusing of chirped Pearcey Gaussian pulses in dispersion-modulated optical fibers

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-06 DOI: 10.1016/j.chaos.2025.116260

Xiang Zhang , Yanxia Gao , Changwen Xu , Dianyuan Fan , Lifu Zhang

We have conducted a thorough investigation, both theoretically and numerically, into the propagation dynamics of chirped Pearcey-Gaussian (PG) pulses in optical fibers featuring linearly and periodically varying group velocity dispersion (GVD). We derived analytical formulas for the focusing distances, which were verified through numerical simulations. In media with linear GVD modulation, unchirped PG pulses exhibit single or double focusing behavior depending on the sign and magnitude of dispersion parameters, while chirped PG pulses can display triple or quadruple focusing behavior, all of which are controllable. In contrast, for media with periodic GVD modulation, unchirped PG pulses undergo single focusing, and their periodic evolution is influenced by the modulation. However, the inclusion of chirp enables the regulation of both the focusing distance and the number of focusing events. These findings hold promise for enhancing the versatility of PG pulses in applications such as microparticle manipulation, laser processing, and spectroscopy, and may provide valuable insights into the control of PG pulses under nonlinear conditions.

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引用次数: 0

Beak-type breathers and rogue waves for a coupled Hirota system with the negative coherent coupling in an optical fiber

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116177

Shao-Hua Liu, Bo Tian, Xiao-Tian Gao

In this paper, we investigate a coupled Hirota system with the negative coherent coupling in an optical fiber. Via an existing binary Darboux transformation, we obtain the vector one and two-peak beak-type Akhmediev breathers on the nonzero backgrounds. Besides, we also get the diverse vector rogue waves such as the vector eye-shaped rogue wave and vector beak-type rogue wave.

引用次数: 0

Effect of electromagnetic radiation on double-loop neural networks and its application to image encryption

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116208

Qiang Lai, Yidan Chen

Neurons often exhibit complex chaotic phenomena when they are electrically stimulated, and this property provides an important theoretical basis for the study of neural dynamics. In this paper, a novel double-loop neural network model is proposed to simulate electromagnetic radiation by introducing a simple quadratic function memristor, which acts on different neurons in the neural network, and systematically investigates the differential effects of electromagnetic radiation on the kinetic behaviour of neurons. It is found that the system exhibits rich dynamical phenomena, such as the coexistence of chaotic attractors and amplitude modulation, as the target neurons are changed. When electromagnetic radiation is applied to a specific neuron, the chaotic attractor breaks down with the change of a key parameter. The physical realizability of the theoretical model is verified by a digital circuit platform built with a microcontroller, and the experimental results are demonstrated. In addition, an efficient bit-level image encryption algorithm is designed based on the chaotic properties of this neural network model. The algorithm obfuscates the image pixel dimensions by a parity hopping diffusion operation and combines with chaotic sequences to randomize the arrangement of pixel positions, which significantly improves the security of the encryption scheme. Finally, the encryption performance of the algorithm is verified by various evaluation means.

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引用次数: 0

Influence of high order nonlinearity on chaotic bursting structure in slow–fast dynamics

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116222

Yeqiang Chen , Miaorong Zhang , Xiaofang Zhang , Qinsheng Bi

Nonlinear truncation based on Taylor expansion has widely been used for the analysis of a real model, while the order of truncation may lead to different behaviors. This paper devotes to investigate the influence of the cubic and fifth order nonlinearity on the bursting oscillations in a relatively simple slow–fast chaotic model. To reveal the characteristics of spiking oscillations, we propose a new type of cross-section based on the excitation, which can be used to compute the projections of Poincaré map conveniently. Higher order nonlinear term may result in more fine structures in a chaotic bursting attractor, implying the trajectory for spiking state alternates between more types of regular oscillations and chaos in turn. Since there exist two choices when the trajectory moving along an equilibrium branches to a pitchfork bifurcation point, it needs two neighboring periods of excitation for the trajectory to finish one cycle of the quiescent and spiking state.

引用次数: 0

Fractional-order Izhikevich neuron Model: PI-rules numerical simulations and parameter identification

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116203

Amr M. AbdelAty , Mohammed E. Fouda

This work introduces a novel approach to identifying parameters of the fractional-order (FO) Izhikevich spiking neuron model using real neuronal data. The primary contributions include the development of a limited memory numerical simulation scheme based on the modified Product-Integration Rectangular rule and the application of the Marine Predator Algorithm (MPA) to solve the nonlinear optimization problem of parameter identification. Experimental results demonstrate that the fractional-order neuron models significantly outperform the traditional integer-order models, as evidenced by higher median coincidence factors across multiple datasets. Specifically, the fractional-order models with smaller window sizes achieved superior performance, suggesting their potential for more accurate modeling of complex neuronal dynamics. This work paves the way for further exploration of fractional-order models in computational neuroscience, offering enhanced flexibility and precision in simulating neuronal behavior.

引用次数: 0

Regulating spatiotemporal dynamics of tussock-sedge coupled map lattices model via PD control

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116168

Yanhua Zhu , Xiangyi Ma , Tonghua Zhang , Jinliang Wang

The tussock sedge, a plant widely distributed in freshwater wetlands across North America, plays a vital role in wetland ecosystems by reinforcing embankments, stabilizing slopes, and preventing soil erosion. However, the aging of sedges leads to the accumulation of significant amounts of plant wracks, which inhibits nutrient replenishment and hinders growth. Therefore, maintaining stable population densities and uniform growth of sedges is no time to delay. In this study, we develop a spatiotemporally discrete coupled map lattices (CMLs) model for the tussock-sedge system. By conducting a linear stability analysis, the stability conditions for the steady state are derived. Then the Flip bifurcation, Neimark–Sacker bifurcation, and Turing bifurcation of the CMLs model are investigated using bifurcation theory and the center manifold theorem. Notably, a proportional–derivative (PD) controller is designed and incorporated into the CMLs model, which can delay the occurrence of Flip bifurcation and Neimark–Sacker bifurcation, thereby preventing the oscillation and chaotic behavior of tussock population density. Additionally, the incorporation of the PD controller broadens the threshold for Turing instability, modifies the types of Turing patterns, and ensures uniform plant growth. Finally, numerical simulations are performed to illustrate the dynamical behaviors of the CMLs model, demonstrating the effectiveness of the PD control implementation.

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引用次数: 0

Existence and dynamics of modulated solitary waves in the modified Peyrard–Bishop model of DNA

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116178

Arnaud Djine , Guy Roger Deffo , Serge Bruno Yamgoué

In this paper, we study the existence and dynamics of solitary waves in the modified Peyrard–Bishop (PB) model of DNA. Firstly, we introduce the solvent interaction function on the usual model and study its effects on the frequency. In the second place, using the semi-discrete approximation, we show that the dynamics of modulated waves in the network are governed by a quintic nonlinear Schrödinger (QNLS) equation. In the quest to find the exact solitary wave solutions, we introduce an ansatz which leads to a cubic–quintic Duffing oscillator equation. Based on the dynamical system approach, we present all phase portraits of the dynamical system. The obtained results show several new phase portraits that cannot exist without the effect of solvent interaction. The exact representations of the nonlinear localized waves corresponding to the homoclinic and heteroclinic orbits in the phase portrait of the dynamical system are given. These waves include bright soliton, kink and anti-kink solitons, and dark soliton. In addition, the impact of solvent parameters on the wave-shape profile of these solutions is studied. It shows that the solvent parameter considerably affects the amplitude and the width of each of the above-enumerated solitary waves.

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引用次数: 0

A nonlocal reaction–diffusion–advection system modeling autotroph–mixotroph interactions

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116189

Danyang Li , Xu Han , Jimin Zhang , Pingping Cong

Autotrophic phytoplankton (autotrophs) and mixotrophic phytoplankton (mixotrophs) are two important types of phytoplankton. Mixotrophs consume autotrophs and both compete for light. We propose a nonlocal reaction–diffusion–advection system that describes the interactions between autotrophs and mixotrophs. Steady state solutions are analyzed by eigenvalue theory of elliptic operators and bifurcation theory. The basic ecological reproductive indices for autotroph and mixotroph invasion are given. We also explore the influences of ecological factors on the autotroph and mixotroph biomass and reveal some ecological mechanisms for the coexistence of autotrophs and mixotrophs. These results can be used to protect phytoplankton biodiversity in aquatic ecosystems.

引用次数: 0

The interplay of assortativity, centrality, and robustness in human signaling networks: Implications for drug discovery

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-05 DOI: 10.1016/j.chaos.2025.116254

Duc-Hau Le , Hung-Cuong Trinh , Tran Duc Quynh , Truong Cong Doan

This study investigated the relationship between assortativity, a fundamental structural property of complex networks, and other key network characteristics in the context of a human signaling network. Despite the importance of assortativity in understanding network structures, there is a lack of comprehensive research exploring its connections to centrality measures and robustness, especially at the node level. We address this gap by examining the interplay between assortativity, various centrality measures, and network robustness while also exploring its potential as an indicator for predicting drug targets. Our findings revealed significant correlations between these network properties. First, we observed a strong negative relationship between assortativity and centrality measures at the node level, indicating that highly assortative nodes tended to have lower centrality scores. Second, we demonstrate that network robustness, defined as the ability to maintain dynamic behavior under perturbations, is negatively correlated with assortativity. Networks that exhibit higher assortativity are less robust. Finally, we identified assortativity as a promising indicator for predicting drug targets within the human signaling network, suggesting its potential for identifying key nodes that can modulate network dynamics. This study contributes to a deeper understanding of the structural and dynamic properties of complex networks, particularly in biological signaling systems. Our findings not only advance theoretical knowledge but also offer practical insights for applications such as identifying influential nodes and designing interventions to control network dynamics. This study paves the way for further exploration of the intricate relationships between structural and dynamical properties in complex networks.

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引用次数: 0

Directed transport of two-coupled Brownian particles in a rough potential 粗糙势中双耦合布朗粒子的定向传输

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals

Pub Date : 2025-03-04 DOI: 10.1016/j.chaos.2025.116204

Peng-Juan Zhang , Guang-Kuo Zhao , Peng Wang , Jie Huo , Xu-Ming Wang

Revealing transport behaviors of Brownian particles in rough potential is of great significance for understanding some physical and biological phenomena. We study the effect of roughness in the potential landscape on the transport of two coupled inertial Brownian particles subjected to a time-periodic force in a Gaussian environment. The transport property is characterized by the current, the time-averaged asymptotic velocity. The interactions, between the roughness and the coupling strength, the driving strength, noise, as well as the coupling length, lead to the transport particularly complex, such as the current varies non-monotonically with the coupling and/or the coupling length, the moderate roughness can enhance the transport but the large roughness can hinder the transport in the case of weak driving, and so on. The mechanism governing these processes is revealed by the effective potential and the corresponding effective driving. The most important finding is that the wells formed by the roughness act as a ladder for the coupled particles to climb up and over the side of the ratchet in some situations, while they serve as the traps to imprison the particles in other situations. These results perhaps can provide guidance for enhancing transport performance of the coupled particles in a rough environment.

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引用次数: 0

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