THE COEXISTENCE OF PERIODIC, ALMOST-PERIODIC AND CHAOTIC ATTRACTORS IN THE VAN DER POL-DUFFING OSCILLATOR

DOI10.1006/jsvi.1996.0648zbMath1235.70164OpenAlexW2071430909MaRDI QIDQ3224590

Jerzy Rudowski, Wanda Szemplińska-Stupnicka

Publication date: 2 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.1996.0648

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear dynamics in mechanics (70K99)

Related Items (13)

MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR ⋮ On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator ⋮ Discussion on: ``Analysis of control relevant coupled nonlinear oscillatory systems ⋮ Three-dimensional chaotic autonomous van der Pol-Duffing type oscillator and its fractional-order form ⋮ Optimal multi-dimensional OGY controller ⋮ Chaos synchronization between single and double wells Duffing-Van der Pol oscillators using active control ⋮ Perpetual points and hidden attractors in dynamical systems ⋮ Bursters and quasi-periodic solutions of a self-excited quasi-periodic Mathieu oscillator ⋮ Chaos in the fractional order periodically forced complex Duffing's oscillators ⋮ Strange attractors and synchronization dynamics of coupled van der Pol-Duffing oscillators ⋮ Response of parametrically excited Duffing-van der Pol oscillator with delayed feedback ⋮ Lag synchronization in coupled multistable van der Pol-Duffing oscillators ⋮ Stability and dynamics of a controlled van der Pol-Duffing oscillator

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