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MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR

A. CHUDZIK

Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

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P. PERLIKOWSKI

Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

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A. STEFANSKI

Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

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, and

T. KAPITANIAK

Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

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https://doi.org/10.1142/S0218127411029513Cited by:131 (Source: Crossref)

Abstract

We discuss the mechanism leading to the multistability in the externally excited van der Pol–Duffing oscillator. It has been shown that the mechanism (the sequence of bifurcations) leading to the phase multistability in coupled oscillators is the same as the mechanism leading to the bistability in the single oscillator.

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