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Lai, D.; Chen, G.

Distribution of controlled Lyapunov exponents via the Lai-Chen algorithm. (English) Zbl 1134.93024

Comput. Math. Appl. 52, No. 12, 1649-1656 (2006).
Summary: The Lai-Chen algorithm, an extended feedback control scheme of the original by G. Chen and D. Lai [Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, No. 7, 1341–1349 (1996; Zbl 0875.93157)] algorithm, was proposed to gradually make an arbitrarily given discrete-time dynamical system chaotic in terms of possessing positive Lyapunov exponents with uniformly bounded orbits. In this paper, based on the Monte Carlo method, we further study the distribution of the controlled Lyapunov exponents generated by the Lai-Chen algorithm [cf. G. Chen and D. Lai [Comput. Stat. Data Anal. 33, No. 1, 69–77 (2000; Zbl 1110.93374)].

Cited in 1 Document

MSC:

93B52 Feedback control
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37M05 Simulation of dynamical systems
93E20 Optimal stochastic control
93C55 Discrete-time control/observation systems

Keywords:

anticontrol; chaos; dynamical systems; Lyapunov exponent; Monte Carlo simulation; time series

Citations:

Zbl 0875.93157; Zbl 1110.93374
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\textit{D. Lai} and \textit{G. Chen}, Comput. Math. Appl. 52, No. 12, 1649--1656 (2006; Zbl 1134.93024)
Full Text: DOI

References:

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