Stochastic dynamics of a nonlinear oscillator driven by periodic force with slowly varying frequency

Oleksandr Bakai and Mykhailo Bratchenko

National Science Center “Kharkiv Institute of Physics & Technology”, Kharkiv, Ukraine
E-mail: bakai@kipt.kharkov.ua
pos Анотація:

Received March 5, 2020, published online June 22, 2020

The topology of phase portraits for nonlinear oscillators driven by a periodic force undergoes significant changes within a narrow interval of the driving force frequencies ν. This property leads to nonintegrability of the equations of motion, and stochastization of their solutions when ν is periodically modulated. Such behavior is due to the violation of adiabaticity and destruction of the integral manifolds, accompanied by topological rearrangements of the integral curves. We study specific features of such stochastic dynamics in a wide range of modulation periods and damping decrements.

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