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A model of two interacting dissipative subsystems described by equations of nonlinear dynamics is considered. Each of the subsystems is a nonlinear oscillator driven by an external periodic field. The numerical calculation shows that chaotic oscillations can occur in this system. Their phase trajectories are described by a chaotic attractor in the limit of large times. It is shown that due to the symmetry of the system, different initial conditions can lead to different chaotic attractors. An analogy is discussed between various strange attractors of this model and different phases of matter in systems with a large number of particles.
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Alexander V. Liaptsev (2023) studied this question.
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