Three-frequency resonances in dynamical systems

Details Three-frequency resonances in dynamical systems Three-frequency resonances in dynamical systems

2000-07-22

arxiv.org/abs/nlin/0007030v1

Int. J. Bifurcation and Chaos, 9, 2181-2187, 1999

Nonlinear Sciences

Chaotic Dynamics

See home page http://lec.ugr.es/~julyan

Scientific paper

We investigate numerically and experimentally dynamical systems having three interacting frequencies: a discrete mapping (a circle map), an exactly solvable model (a system of coupled ordinary differential equations), and an experimental device (an electronic oscillator). We compare the hierarchies of three-frequency resonances we find in each of these systems. All three show similar qualitative behaviour, suggesting the existence of generic features in the parameter-space organization of three-frequency resonances.

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