Topological synchronization of chaotic systems [PDF]
Scientific Reports, 2022 A chaotic dynamics is typically characterized by the emergence of strange attractors with their fractal or multifractal structure. On the other hand, chaotic synchronization is a unique emergent self-organization phenomenon in nature.
Nir Lahav +6 more
doaj +4 more sources
Preset-Time Convergence Fuzzy Zeroing Neural Network for Chaotic System Synchronization: FPGA Validation and Secure Communication Applications [PDF]
SensorsChaotic systems, characterized by extreme sensitivity to initial conditions and complex dynamical behaviors, exhibit significant potential for applications in various fields.
Liang Xiao, Lv Zhao, Jie Jin
doaj +2 more sources
Fuzzy Synchronization of Chaotic Systems with Hidden Attractors
Entropy, 2023 Chaotic systems are hard to synchronize, and no general solution exists. The presence of hidden attractors makes finding a solution particularly elusive.
Jessica Zaqueros-Martinez +3 more
doaj +1 more source
Synchronization of chaotic systems [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015 We review some of the history and early work in the area of synchronization in chaotic systems. We start with our own discovery of the phenomenon, but go on to establish the historical timeline of this topic back to the earliest known paper. The topic of synchronization of chaotic systems has always been intriguing, since chaotic systems are known to ...
Louis M. Pecora, Thomas L. Carroll
openaire +3 more sources
Partial Anti-Synchronization in a Class of Chaotic and Hyper-Chaotic Systems
IEEE Access, 2021 This paper investigates the partial anti-synchronization in a class of chaotic and hyper-chaotic systems. Firstly, the existence of the partial anti-synchronization for the chaotic system is proved.
Rongwei Guo, Yi Qi
doaj +1 more source
Synchronization of fractional chaotic systems based on a simple Lyapunov function
Advances in Difference Equations, 2017 In this paper the synchronization of fractional-order chaotic systems and a new property of fractional derivatives are studied. Then we propose a new fractional-order extension of Lyapunov direct method to control the fractional-order chaotic systems.
Tianzeng Li, Yu Wang, Chao Zhao
doaj +1 more source
Chaotic Synchronization and Application of Neuron Models with Different Structures
Guangtongxin yanjiu, 2021 In order to solve the chaotic synchronization problem of two neuron models with different structures, the dynamical behaviours of Fitzhugh-Nagumo (FHN) neurons and Morris-Lecar (ML) neurons are studied respectively.
Kai-jun WU, Ming-jun YAN
doaj +1 more source
Symbolic dynamics and chaotic synchronization [PDF]
Chaos Theory, 2011 Chaotic communications schemes based on synchronization aim to provide security over the conventional communication schemes. Symbolic dynamics based on synchronization methods has provided high quality synchronization (5). Symbolic dynamics is a rigorous way to investigate chaotic behavior with finite precision and can be used combined with information
Gracio, Clara +2 more
openaire +2 more sources
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control
Fractal and Fractional, 2022 The dynamics and synchronization of fractional-order (FO) chaotic systems have received much attention in recent years. However, the research are focused mostly on FO commensurate systems.
Fei Qi +4 more
doaj +1 more source
Adaptive Dual Synchronization of Fractional-Order Chaotic System with Uncertain Parameters
Mathematics, 2022 The problem of the dual synchronization of two different fractional-order chaotic systems with uncertain parameters is studied. This paper introduces a synchronization method in accordance with Lyapunov stability theory, and the adaptive controllers and ...
Dehui Liu, Tianzeng Li, Yu Wang
doaj +1 more source