Complex Dynamics of Piecewise Linear Model of the Van der Pol Oscillator Under External Periodic Force

Details Complex Dynamics of Piecewise Linear Model of the Van der Pol Oscillator Under External Periodic Force Complex Dynamics of Piecewise Linear Model of the Van der Pol Oscillator Under External Periodic Force

2003-05-16

arxiv.org/abs/nlin/0305027v1

Nonlinear Sciences

Chaotic Dynamics

5 pages

Scientific paper

The electronic model of Van der Pol oscillator with piecewise linear V-I--characteristics of nonlinear element is proposed. It is carried out the experimental investigations of behaviour of the Van der Pol oscillator under external periodic force. The parameter plane "the amplitude of external force -- the frequency of external force" for the dynamical regimes of the oscillator is experimentally plotted. It is shown in experiments and numerical simulations that transition to chaos in the oscillator takes place through the period doubling cascade. It is revealed that the internal structure of the synchronization tongues has the characteristic view as for the crossroad area.

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