Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map-Reference-Cited by-同舟云学术

Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map

Published:2015-12 Issue: Volume:81 Page:172-183
ISSN:0960-0779
Container-title:Chaos, Solitons & Fractals
language:en
Short-container-title:Chaos, Solitons & Fractals

Author:

Gritli Hassène^ORCID,Belghith Safya

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference80 articles.

1. A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems;Oseledec;Trans Mosc Math Soc,1968

2. Practical numerical algorithms for chaotic systems;Parker,1989

3. Determining Lyapunov exponents from a time series;Wolf;Physica D,1985

4. Optimizing the positive Lyapunov exponent in multi-scroll chaotic oscillators with differential evolution algorithm;Carbajal-Gómez;Appl Math Comput,2013

5. A practical method for calculating largest Lyapunov exponents from small data sets;Rosenstein;Physica D: Nonlinear Phenom,1993

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