Chaos and Three-Frequency Resonaces in a Dynamcal System
The behavior of two parametrically coupled nonlinear oscillators driven by two periodically independent forces is studied. Three-frequency quasiperiodic resonances are observed. An anzat based on a generalized Farey Sum operation between fraction of real numbers is given for the hierarchical arrangement of the stability width of three-frequency resonances.
KeywordsLyapunov Exponent Nonlinear Oscillator Chaotic Motion Linear Oscillator Hierarchical Order
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