Results 201 to 210 of about 25,093,086 (249)
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PSEUDO-DETERMINISTIC CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2003We call a chaotic dynamical system pseudo-deterministic when it does not produce numerical, or pseudo-trajectories that stay close, or shadow chaotic true trajectories, even though the model equations are strictly deterministic. In this case, single chaotic trajectories may not be meaningful, and only statistical predictions, at best, could be drawn on
Ricardo Luiz Viana +3 more
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Chaos, Solitons & Fractals, 2018
This paper proposes a combination of finite-time robust-tracking theory and composite nonlinear feedback approach for the finite-time and high performance synchronization of the chaotic systems in the presence of the external disturbances, parametric ...
Saleh Mobayen, Jun Ma
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This paper proposes a combination of finite-time robust-tracking theory and composite nonlinear feedback approach for the finite-time and high performance synchronization of the chaotic systems in the presence of the external disturbances, parametric ...
Saleh Mobayen, Jun Ma
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Resonances of Chaotic Dynamical Systems
Physical Review Letters, 1986We present analytic properties of the power spectrum for a class of chaotic dynamical systems (Axiom-A systems). The power spectrum is meromorphic in a strip; the position of the poles (resonances) depends on the system considered, but only their residues depend on the observable monitored. In relation with these results we also discuss the exponential
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Kybernetika, 1994
The authors propose an approach to construct a chaotic system by the synthesis of a linear dissipative single-input single-output system and a nonlinear static output feedback. An example constructed in this way is illustrated by computation.
Antonín Vanecek, Sergej Celikovský
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The authors propose an approach to construct a chaotic system by the synthesis of a linear dissipative single-input single-output system and a nonlinear static output feedback. An example constructed in this way is illustrated by computation.
Antonín Vanecek, Sergej Celikovský
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Chaotic Behavior in Excitable Systems
Annals of the New York Academy of Sciences, 1990This paper has dealt with biophysically accurate, or plausible, excitation systems. These are obtained from experiments, and so are complicated, often of high order, and are continually being updated by new experimental results. This is especially true for the excitation equations that represent cardiac tissue.
A V, Holden, M J, Lab
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Chaotic Continua in Chaotic Dynamical Systems
2021In this article, for any graph G we define a new notion of “free tracing property by free G-chains” on G-like continua and we show that a positive topological entropy homeomorphism f of a G-like continuum X admits a Cantor set Z in X such that any sequence \((z_1,z_2,...,z_n)\) of points in Z is an IE-tuple of f, Z has the free tracing property by free
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Quantifying the robustness of a chaotic system
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022As a way to quantify the robustness of a chaotic system, a scheme is proposed to determine the extent to which the parameters of the system can be altered before the probability of destroying the chaos exceeds 50%. The calculation uses a Monte-Carlo method and is applied to several common dissipative chaotic maps and flows with varying numbers of ...
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GEOMETRY OF TARGETING OF CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 1995In this paper, we analyze the geometry of directing of orbits of chaotic dynamical systems. The geometric approach enables us to interpret the obtained results so as to complement some of the existing ideas about minimum-time targeting. The analysis is illustrated by an example.
Paskota, M., Mees, A. I., Teo, K. L.
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Transitions to Bubbling of Chaotic Systems
Physical Review Letters, 1996Certain dynamical systems exhibit a phenomenon called bubbling, whereby small perturbations induce intermittent bursting. In this Letter we show that, as a parameter is varied through a critical value, the transition to bubbling can be ``hard'' (the bursts appear abruptly with large amplitude) or ``soft'' (the maximum burst amplitude increases ...
, Venkataramani +4 more
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Calculation of the entropy in chaotic systems
Physical Review A, 1985A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained
, Györgyi, , Szépfalusy
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