Results 21 to 30 of about 19,461 (275)
Frontiers in Physics, 2021 Investigation of the classical self-excited and hidden attractors in the modified Chua’s circuit is a hot and interesting topic. In this article, a novel Chua’s circuit system with an absolute item is investigated.
Xianming Wu, Huihai Wang, Shaobo He
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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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Entropy, 2020 In this study, the design of an adaptive terminal sliding mode controller for the stabilization of port Hamiltonian chaotic systems with hidden attractors is proposed.
Ahmad Taher Azar, Fernando E. Serrano
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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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A Hidden Chaotic System with Multiple Attractors
Entropy, 2021 This paper reports a hidden chaotic system without equilibrium point. The proposed system is studied by the software of MATLAB R2018 through several numerical methods, including Largest Lyapunov exponent, bifurcation diagram, phase diagram, Poincaré map, time-domain waveform, attractive basin and Spectral Entropy.
Xiefu Zhang +4 more
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A Chaotic Circuit With Hidden Attractors and Extreme Event
IEEE Access, 2022 Here, a chaotic quadratic system is presented. The chaotic attractor of the oscillator is studied. It has a stable equilibrium point for most of the studied interval of its parameter. So, its chaotic attractor in that interval is hidden.
Rending Lu +4 more
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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. Successful synchronization critically depends on the control strategy, which must be carefully chosen considering system features such as the presence of hidden attractors.
Jessica Zaqueros-Martinez +3 more
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Chaotic Dynamics by Some Quadratic Jerk Systems
Axioms, 2021 This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both ...
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
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Hidden Bifurcations in the Multispiral Chua Attractor [PDF]
International Journal of Bifurcation and Chaos, 2016 We introduce a novel method revealing hidden bifurcations in the multispiral Chua attractor in the case where the parameter of bifurcation [Formula: see text] which determines the number of spiral is discrete. This method is based on the core idea of the genuine Leonov and Kuznetsov method for searching hidden attractors (i.e.
Tidjani Menacer +2 more
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A Hidden Chaotic Attractor with an Independent Amplitude-Frequency Controller
Complexity, 2022 In this paper, a three-dimensional chaotic system with a line equilibrium is studied, in which a single nonbifurcation parameter is used to control the amplitude and frequency.
Yousuf Islam +4 more
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