Chaotic oscillations in nonlinear system of interacting oscillators with the interaction of the fourth order

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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7 pages, 5 figures

Scientific paper

Dynamics of two anharmonic oscillators with interaction of the fourth order
has been investigated. The conditions at realization of which system is
integrable are established. The exact analytical solution of the nonlinear
equations in the case of adiabatic isolation of a system of oscillators has
been obtained

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