Results 21 to 30 of about 1,300,042 (313)
Self-Reproducing Hidden Attractors in Fractional-Order Chaotic Systems Using Affine Transformations
IEEE Open Journal of Circuits and Systems, 2020 This article proposes a unified approach for hidden attractors control in fractional-order chaotic systems. Hidden attractors have small basins of attractions and are very sensitive to initial conditions and parameters.
Wafaa S. Sayed, Ahmed G. Radwan
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Initial Value Determination of Chua System with Hidden Attractors and Its DSP Implementation
Complexity, 2020 In this paper, a method for determining the initial value of the hidden attractors in the Chua system is studied. The initial value of the hidden attractors can be calculated quickly and accurately by the proposed method, and the hidden attractors can be
Xianming Wu, Weijie Tan, Huihai Wang
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Fractal and Fractional, 2022 The study of hidden attractors plays a very important role in the engineering applications of nonlinear dynamical systems. In this paper, a new three-dimensional (3D) chaotic system is proposed in which hidden attractors and self-excited attractors ...
Jiahui Wang, Chengwei Dong, Hantao Li
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Complexity, 2020 Chaotic systems with hidden multiscroll attractors have received much attention in recent years. However, most parts of hidden multiscroll attractors previously reported were repeated by the same type of attractor, and the composite of different types of
Ying Li +3 more
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Complexity, 2020 In this work, we present an approach to design a multistable system with one-directional (1D), two-directional (2D), and three-directional (3D) hidden multiscroll attractor by defining a vector field on ℝ3 with an even number of equilibria. The design of
R. J. Escalante-González, Eric Campos
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Chaotic attractors that exist only in fractional-order case
Journal of Advanced Research, 2023 Introduction: Studying chaotic dynamics in fractional- and integer-order dynamical systems has let researchers understand and predict the mechanisms of related non-linear phenomena.
A.E. Matouk
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Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion [PDF]
, 2015 In this tutorial, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known Glukhovsky--Dolghansky and Rabinovich systems, to demonstrate the ...
Kuznetsov, N. V. +2 more
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Archives of Control Sciences, 2023 Coexisting self-excited and hidden attractors for the same set of parameters in dissipative dynamical systems are more interesting, important, and difficult compared to other classes of hidden attractors. By utilizing of nonlinear state feedback controller
S. Al-Azzawi
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Fractal and Fractional, 2022 Hidden attractors are associated with multistability phenomena, which have considerable application prospects in engineering. By modifying a simple three-dimensional continuous quadratic dynamical system, this paper reports a new autonomous chaotic ...
Chengwei Dong
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Hidden attractors in Chua circuit: mathematical theory meets physical experiments
Nonlinear dynamics, 2022 After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic attractor in numerical simulation of a real physical process, a new scientific direction of analysis of chaotic behavior in dynamical systems arose. Despite the
N. Kuznetsov +5 more
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