ISSN 0869-6632 (Online)
ISSN 2542-1905 (Print)


Cite this article as:

Kuznecov A. P., Stankevich N. V., Chernyshov N. J. Stabilization of chaos in the rossler system by pulsed or harmonic signal. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 3-16. DOI: https://doi.org/10.18500/0869-6632-2010-18-4-3-16

Language: 
Russian

Stabilization of chaos in the rossler system by pulsed or harmonic signal

Autors: 
Kuznecov Aleksandr Petrovich, Saratov State University
Stankevich Natalija Vladimirovna, Yuri Gagarin State Technical University of Saratov
Chernyshov Nikolaj Jurevich, Saratov State University
Abstract: 

The stabilization of chaos in the Rossler system by external signal is investigated. Different types of external action are considered: both of pulsed and harmonic signal. There are illustrations: charts of dynamical regimes, phase porters, stroboscopic section of Poincare, spectrum of Lyapunov exponents. Comparative analysis of efficiency of stabilization of band chaos and spiral chaos by different signal is carried out. The dependence of synchronization picture on direction of acting pulses is shown.

DOI: 
10.18500/0869-6632-2010-18-4-3-16
References: 

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