Year: 2021
Type: article
Abstract: The article discusses one of the typical problems described by the equations of nonlinear dynamics—forced oscillations in a system with W-potential. It focuses, in particular, on chaotic oscillations in the presence of dissipation. In this case the state of the system is described by a chaotic (strange) attractor and can be characterized by the probability density in the phase space. A partial differential equation for the probability density is presented. It is shown that when the parameters change in the system under consideration, symmetry breaking can occur. In this case the superposition principle for the probability density is valid. It is similar to the superposition principle for the quantum mechanical function in the problem of particle motion in the W-potential field.
Source: Physics of Complex Systems
Author: Alexander V. Liaptsev
Institution: Herzen University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3197728822