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Fuzzy Synchronization of Chaotic Systems with Hidden Attractors [PDF]

open access: yesEntropy, 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   +7 more sources

Hidden Attractors in Discrete Dynamical Systems [PDF]

open access: yesEntropy, 2021
Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based ...
Marek Berezowski, Marcin Lawnik
doaj   +5 more sources

A New Two-Dimensional Map with Hidden Attractors [PDF]

open access: yesEntropy, 2018
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems.
Chuanfu Wang, Qun Ding
doaj   +5 more sources

Hidden Strange Nonchaotic Attractors [PDF]

open access: yesMathematics, 2021
In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors.
Marius-F. Danca, Nikolay Kuznetsov
doaj   +3 more sources

Existence of Self-Excited and Hidden Attractors in the Modified Autonomous Van Der Pol-Duffing Systems

open access: yesMathematics, 2023
This study investigates the multistability phenomenon and coexisting attractors in the modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form.
A. E. Matouk   +4 more
doaj   +2 more sources

Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors [PDF]

open access: yesEntropy, 2019
This paper presents a new no-equilibrium 4-D hyperchaotic multistable system with coexisting hidden attractors. One prominent feature is that by varying the system parameter or initial value, the system can generate several nonlinear complex attractors ...
Licai Liu   +4 more
doaj   +2 more sources

Hidden attractors and multistability in a modified Chua's circuit

open access: yesNonlinear Dynamics, 2021
The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua’s system with a special Chua’s diode. But designing such physical Chua’s circuit is a challenging task due to the distinct slopes of Chua’s diode. In this paper, a
Ning Wang   +3 more
semanticscholar   +3 more sources

Stabilization of Port Hamiltonian Chaotic Systems with Hidden Attractors by Adaptive Terminal Sliding Mode Control [PDF]

open access: yesEntropy, 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
doaj   +2 more sources

A Hidden Chaotic System with Multiple Attractors

open access: yesEntropy, 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,
Xiefu Zhang   +4 more
doaj   +4 more sources

Coexisting of self-excited and hidden attractors in a new 4D hyperchaotic Sprott-S system with a single equilibrium point [PDF]

open access: yesArchives of Control Sciences, 2022
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.
Saad Fawzi Al-Azzawi   +1 more
doaj   +1 more source

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