Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
767377 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 6 Pages |
Abstract
In this note a simple example of an autonomous three-dimensional system is considered demonstrating quasiperiodic dynamics because of presence of two coexisting oscillatory components of independently controlling and, hence, generally incommensurate frequencies. Attractor in such a regime is a two-dimensional torus. Numerical illustrations of the stable quasiperiodic motions are presented. Some essential features of the dynamical behavior are revealed; in particular, charts of dynamical regimes on parameter planes are considered and discussed.
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Authors
A.P. Kuznetsov, S.P. Kuznetsov, N.V. Stankevich,