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Shadowing in hidden attractors
Nonlinear Dynamics, 2018Hidden attractors found in physical systems are different from self-exited attractors and may have a small basin of attraction. The issue of shadowing in these attractors using dynamical noise is discussed. We have particularly considered two classes of dynamical systems which have hidden attractors in their state space. In one of the systems, there is
N. K. Kamal +5 more
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Rotation Switching for Generating Multiplex Multiwing Hyperchaotic Hidden Attractors
IEEE transactions on industrial electronics (1982. Print)The generation of multiplex-structure attractor mainly profits from the control of phase orbits in terms of location and orientation. It is an attractive but challenging task to implement trajectory control of stable-equilibrium-type hyperchaotic system ...
Ning Wang +5 more
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A novel method for extending multi-scroll hidden attractors in multiple directions
Physica ScriptaMulti-scroll chaotic system exhibits unique dynamic characteristics and rich nonlinear performances, presenting broad application prospects in numerous fields such as signal processing and secure communication.
Pengfei Ding +4 more
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Revealing More Hidden Attractors from a New Sub-Quadratic Lorenz-Like System of Degree 6 5
International Journal of Bifurcation and Chaos in Applied Sciences and EngineeringIn the sense that the descending powers of some certain variables may widen the range of parameters of self-excited and hidden attractors, this technical note proposes a new three-dimensional Lorenz-like system of degree [Formula: see text].
Haijun Wang, Jun Pan, Guiyao Ke
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Design and analysis of image encryption based on memristor chaotic systems with hidden attractors
Physica ScriptaChaotic systems with hidden attractors are important research hotspots in nonlinear science. In recent years, continuous chaotic systems with special equilibrium points have been widely studied, especially continuous chaotic systems without equilibrium ...
Pengfei Ding, Zixuan Wang, Ke Li
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Generating multi-wing hidden attractors with only stable node-foci via non-autonomous approach
Physica Scripta, 2021Hidden attractor is associated with the multistability phenomenon, which has important application prospects in security communication. Recently, the study of multi-wing hidden chaotic attractor with only stable equilibria is a particular interest.
Yan Yang +4 more
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Fractal and Fractional
To model the response of neural networks to electromagnetic radiation in real-world environments, this study proposes a memristive dual-wing fractional-order Hopfield neural network (MDW-FOMHNN) model, utilizing a fractional-order memristor to simulate ...
Shaoqi He +6 more
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To model the response of neural networks to electromagnetic radiation in real-world environments, this study proposes a memristive dual-wing fractional-order Hopfield neural network (MDW-FOMHNN) model, utilizing a fractional-order memristor to simulate ...
Shaoqi He +6 more
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Fractal and Fractional
This paper proposes a novel five-dimensional (5D) memristor-based chaotic system by introducing a flux-controlled memristor into a 3D chaotic system with two stable equilibrium points, and increases the dimensionality utilizing the state feedback control
Chengwei Dong, Min Yang
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This paper proposes a novel five-dimensional (5D) memristor-based chaotic system by introducing a flux-controlled memristor into a 3D chaotic system with two stable equilibrium points, and increases the dimensionality utilizing the state feedback control
Chengwei Dong, Min Yang
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The “hidden” dynamics of the Rössler attractor
Physica D: Nonlinear Phenomena, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maris, Dimitris T., Goussis, Dimitris A.
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Two-Parameter Bifurcations and Hidden Attractors in a Class of 3D Linear Filippov Systems
International Journal of Bifurcation and Chaos in Applied Sciences and EngineeringWe take into consideration two different kinds of two-parameter bifurcations in a class of 3D linear Filippov systems, namely pseudo-Bautin bifurcation and boundary equilibrium bifurcations for two scenarios.
Zhouchao Wei, Fanrui Wang
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