Results 1 to 10 of about 36,343 (265)

The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output

Complexity, 2018
This paper investigates the stabilization and synchronization of a class of fractional-order chaotic systems which are affected by external disturbances. The chaotic systems are assumed that only a single output can be used to design the controller.
Runzi Luo, Haipeng Su
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An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine

Entropy, 2018
Chaotic systems with hyperbolic sine nonlinearity have attracted the attention of researchers in the last two years. This paper introduces a new approach for generating a class of simple chaotic systems with hyperbolic sine.
Jizhao Liu, Jun Ma, Jing Lian, Pengbin Chang, Yide Ma   +4 more
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Beyond Chaos in Fractional-Order Systems: Keen Insight in the Dynamic Effects

Fractal and Fractional
Fractional calculus (or arbitrary order calculus) refers to the integration and derivative operators of an order different than one and was developed in 1695.
José Luis Echenausía-Monroy, Luis Alberto Quezada-Tellez, Hector Eduardo Gilardi-Velázquez, Omar Fernando Ruíz-Martínez, María del Carmen Heras-Sánchez, Jose E. Lozano-Rizk, José Ricardo Cuesta-García, Luis Alejandro Márquez-Martínez, Raúl Rivera-Rodríguez, Jonatan Pena Ramirez, Joaquín Álvarez   +10 more
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Localization in strongly chaotic systems [PDF]

Journal of Physics A: Mathematical and General, 1997
We show that, in the semiclassical limit and whenever the elements of the Hamiltonian matrix are random enough, the eigenvectors of strongly chaotic time-independent systems in ordered bases can on average be exponentially localized across the energy shell and decay faster than exponentially outside the energy shell.
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Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems

The Scientific World Journal, 2014
Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems.
Roman Senkerik, Ivan Zelinka, Michal Pluhacek, Donald Davendra, Zuzana Oplatková Kominkova   +4 more
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A new chaotic hyperjerk system with a half-line of equilibrium points, its dynamic analysis, multistability, circuit simulation and anti-synchronization via backstepping control [PDF]

Archives of Control Sciences
In this work, we present a new four-dimensional chaotic hyperjerk system with a half-line of equilibrium points. In the chaos literature, it is well-known that chaotic systems with an infinite number of equilibrium points exhibit hidden attractors. Thus,
Sundarapandian Vaidyanathan, Fareh Hannachi, Mohamad Afendee Mohamed, Aceng Sambas, Chittineni Aruna, Repudi Ramesh   +5 more
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Time-Reversible Synchronization of Analog and Digital Chaotic Systems

Mathematics
The synchronization of chaotic systems is a fundamental phenomenon in nonlinear dynamics. Most known synchronization techniques suggest that the trajectories of coupled systems converge at an exponential rate.
Artur Karimov, Vyacheslav Rybin, Ivan Babkin, Timur Karimov, Veronika Ponomareva, Denis Butusov   +5 more
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Chaotic resetting: a resetting strategy for deterministic chaotic systems

Nonlinear Dynamics
Abstract Restarting a stochastic search process can accelerate its completion by providing an opportunity to take a more favorable path with each reset. This strategy, known as stochastic resetting, is well studied in random processes.
Cantisán Gómez, Julia, Nieto, Alexandre R., Seoane, Jesús M.   +2 more
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Preset-Time Convergence Fuzzy Zeroing Neural Network for Chaotic System Synchronization: FPGA Validation and Secure Communication Applications

Sensors
Chaotic 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
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Digital Implementation of Chaotic Systems Using Nvidia Jetson AGX Orin and Custom DAC Converter

Chaos and Fractals
Digital implementation of chaotic systems has many advantages. Chaotic systems realized on digital platforms offer higher flexibility and computational accuracy compared to traditional analog systems.
Berkay Emin, Mustafa Yaz
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