Chaotic motions of the van der Pol-Duffing oscillator subjected to periodic external and parametric excitations with delayed feedbacks

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

Bifurcations and chaos in Duffing equation with damping and external excitations
Nonlinear response of a forced van der Pol-Duffing oscillator at non-resonant bifurcations of codimension two
Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling
Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method
Strongly resonant bifurcations of nonlinearly coupled van der Pol-Duffing oscillator
Multistability and organization of periodicity in a van der Pol-Duffing oscillator
Effects of time delayed position feedback on a van der Pol-Duffing oscillator
Analytic approximate solutions of the cubic-quintic Duffing-van der Pol equation with two-external periodic forcing terms: stability analysis
Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators
Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator
Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators
Multistability and fast-slow analysis for van der Pol-Duffing oscillator with varying exponential delay feedback factor
Bifurcations of periodic solutions and chaos in Josephson system with parametric excitation
Non-stationary response of a van der Pol-Duffing oscillator under Gaussian white noise
Stability and bifurcation analysis of delay coupled Van der Pol-Duffing oscillators
Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
Bifurcations and chaos in Duffing equation
Nonresonant Hopf bifurcations of a controlled van der Pol–Duffing oscillator
Shilnikov Chaos in Oscillators with Huygens Coupling
MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR
THE COEXISTENCE OF PERIODIC, ALMOST-PERIODIC AND CHAOTIC ATTRACTORS IN THE VAN DER POL-DUFFING OSCILLATOR
On Coupled Delayed Van der Pol-Duffing Oscillators
Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator
Delay-Induced Double Hopf Bifurcations in a System of Two Delay-Coupled van der Pol–Duffing Oscillators
Bogdanov–Takens and Triple Zero Bifurcations of Coupled van der Pol–Duffing Oscillators with Multiple Delays
Modeling nonlinear dissipative chemical dynamics by a forced modified van der Pol-Duffing oscillator with asymmetric potential: chaotic behaviors predictions

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