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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.
Original language | English |
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Pages (from-to) | 1676-1681 |
Number of pages | 6 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 15 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2010 |
ID: 86486409