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

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Talagaev Y. V., Tarakanov A. F. Multiparametrical analysis based on Melnikov criterion and optimal chaos suppression in periodically driven dynamic systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 4, pp. 77-90. DOI: 10.18500/0869-6632-2011-19-4-77-90

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Multiparametrical analysis based on Melnikov criterion and optimal chaos suppression in periodically driven dynamic systems

Talagaev Yury Viktorovich, Balashov branch of the Saratov State University. N.G. Chernyshevsky
Tarakanov Andrej Fedorovich, Borisoglebsk State Pedagogical Institute (BSPI)

The results that illustrate the fruitfulness of the idea of optimal parametric correction for the analysis and optimization of the class of periodically driven chaotic systems are presented. Two problems that reveal the peculiarities of suppression of chaotic dynamics and present the method of regulation of the behavior of dissipative nonlinear oscillator were solved with the help of Melnikov criterion. The analytical results were compared to the solution of double-criteria problem that uses the conditions of Pontryagin maximum principle to find optimal parametric perturbations. The efficiency evaluations of various forms of parametric perturbations on the system found with the help of two independent methods correspond to each other. 

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