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

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Malyshev A. I., Chizhova L. A. Arnol’d diffusion in a simple nonlinear system: analytical estimations and numerical simulation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 46-56. DOI: 10.18500/0869-6632-2009-17-1-46-56

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534.014, 530.182

Arnol’d diffusion in a simple nonlinear system: analytical estimations and numerical simulation

Malyshev Aleksandr Igorevich, Lobachevsky State University of Nizhny Novgorod
Chizhova Larisa Aleksandrovna, Lobachevsky State University of Nizhny Novgorod

We consider the Arnol’d diffusion in a system with 2.5 degrees of freedom along a resonance with an external oscillating field. The analytical estimation of the diffusion coefficient we made is in a good agreement with numerical results. It’s also shown that both the amplitude of external field and the parameter of weak interaction between two spatial degrees of freedom have an influence on Arnol’d diffusion manifestation and its rate.

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