Results 151 to 160 of about 11,885 (197)

Robust chaos-the theoretical formulation and experimental evidence

ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), 2003
Practical applications of chaos are likely to face problems of reliability because of the existence of multiple attractors and periodic windows in most chaotic dynamical systems. In this paper we show that robust chaos, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space, can occur in ...
Soumitro Banerjee, D. Kastha, S. Das, G. Vivek, Celso Grebogi   +4 more
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Robust chaos in 3-D piecewise linear maps

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018
A chaotic attractor is called robust if there is no periodic window or any coexisting attractor in some open subset of the parameter space. Such a chaotic attractor cannot be destroyed by a small change in parameter values since a small change in the parameter value can only make small changes in the Lyapunov exponents.
Patra, Mahashweta, Banerjee, Soumitro
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A transformation of mappings preserving the property of robust chaos

Chaos, Solitons and Fractals
Robust chaos is a phenomenon characterized by the continuous occurrence of chaos for the variability of control parameters. Therefore, chaotic systems with this property are highly desirable in various applications, e.g. chaos-based cryptography.
Marcin Lawnik, E Campos-Canton, Lazaros Moysis   +2 more
exaly   +2 more sources

A constructive approach to robust chaos using invariant manifolds and expanding cones [PDF]

Discrete and Continuous Dynamical Systems, 2021
Chaotic attractors in the two-dimensional border-collision normal form (a piecewise-linear map) can persist throughout open regions of parameter space. Such robust chaos has been established rigorously in some parameter regimes.
D J W Simpson
exaly   +2 more sources

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Analysis and improvement of Boolean chaos robustness to noise

Communications in Nonlinear Science and Numerical Simulation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haifang Liu, YunCai Wang, Guodong Zhang, Jianguo Zhang   +3 more
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Effect of smoothing on robust chaos

Physical Review E, 2010
In piecewise-smooth dynamical systems, situations can arise where the asymptotic attractors of the system in an open parameter interval are all chaotic (e.g., no periodic windows). This is the phenomenon of robust chaos. Previous works have established that robust chaos can occur through the mechanism of border-collision bifurcation, where border is ...
Amogh, Deshpande, Qingfei, Chen, Yan, Wang, Ying-Cheng, Lai, Younghae, Do   +4 more
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Robust chaos in smooth unimodal maps

Physical Review E, 2001
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. It has been conjectured that robust chaos cannot occur in smooth systems [E. Barreto, B. Hunt, and C. Grebogi, Phys. Rev. Lett. 78, 4561 (1997); 80, 3049 (1998)].
M, Andrecut, M K, Ali
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ROBUST CHAOS IN A SMOOTH SYSTEM

International Journal of Modern Physics B, 2001
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. The occurrence of robust chaos has been discussed [Phys. Rev. Lett.78, 4561 (1997); ibid.80, 3049 (1998)]. It has been shown that robust chaos can occur in piecewise smooth systems. Also, it has been conjectured that robust
M. ANDRECUT, M. K. ALI
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Robust chaos in neural networks

Physics Letters A, 2000
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Potapov, A., Ali, M. K.
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Robust Chaos in the Lorenz-Type Systems

World Scientific Series on Nonlinear Science, Series A, 2011
exaly   +2 more sources