Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 15, Issue 6, Pages 1676-1681Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2009.06.027
Keywords
Quasiperiodic; Torus; Lyapunov exponent; Attractor; Oscillator
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Funding
- RFBR [09-02-00426, 09-02-00707]
- Ministry of Education and Science of Russian Federation [2.1.1/1738]
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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. (C) 2009 Elsevier B.V. All rights reserved.
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