Results 231 to 240 of about 19,461 (275)
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Hidden attractor in smooth Chua systems
Physica D: Nonlinear Phenomena, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonov, G. A. +2 more
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Experimental observation of hidden Chua’s attractor
Chaos, Solitons & Fractals, 2023Ning Wang +5 more
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Hidden Attractors with Conditional Symmetry
International Journal of Bifurcation and Chaos, 2020By introducing an absolute value function for polarity balance, some new examples of chaotic systems with conditional symmetry are constructed that have hidden attractors. Coexisting oscillations along with bifurcations are investigated by numerical simulation and circuit implementation. Such new cases enrich the gallery of hidden chaotic attractors of
Li, Chunbiao +3 more
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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
Kamal, N. K. +6 more
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Controlling Dynamics of Hidden Attractors
International Journal of Bifurcation and Chaos, 2015Amplitude death (AD) in hidden attractors is attained with a scheme of linear augmentation. This linear control scheme is capable of stabilizing the system to a fixed point state even when the original system does not have any fixed point. Depending on the control parameter, different routes to AD such as boundary crises and Hopf bifurcation are ...
Sharma, Pooja Rani +5 more
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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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Connecting curve: A new tool for locating hidden attractors
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021Attractors in nonlinear dynamical systems can be categorized as self-excited attractors and hidden attractors. In contrast to self-excited attractors, which can be located by the standard numerical computational method, hidden attractors are hard to detect due to the fact that its basin of attraction is away from the proximity to equilibrium.
Xinqi Guan, Yong Xie
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Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system
Chinese Physics B, 2017A novel 5-dimensional (5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multi-wing hidden attractors can be observed on different phase planes. The dynamical system has multiple lines of equilibria or no equilibrium when the system parameters are appropriately selected, and the multi-scroll hidden attractors and ...
Xiaoyu Hu +4 more
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Control of multistability in hidden attractors
The European Physical Journal Special Topics, 2015Hidden attractors have a basin of attraction which is not connected with unstable equilibrium. Certain systems with hidden attractor show multistability for a range of parameter. Multistability or coexistence of different attractors in nonlinear systems often creates inconvenience and therefore, needs to be avoided to obtain a desired specific output ...
P. R. Sharma +4 more
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Recent new examples of hidden attractors
The European Physical Journal Special Topics, 2015Hidden attractors represent a new interesting topic in the chaos literature. These attractors have a basin of attraction that does not intersect with small neighborhoods of any equilibrium points. Oscillations in dynamical systems can be easily localized numerically if initial conditions from its open neighborhood lead to a long-time oscillation.
S. Jafari, J. C. Sprott, F. Nazarimehr
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