Nonlinear dynamics of a periodically driven Duffing resonator coupled to a van der Pol oscillator

DOI10.1155/2011/248328zbMath1250.34032OpenAlexW2046891243WikidataQ58692838 ScholiaQ58692838MaRDI QIDQ613876

Sumit K. Garg

Publication date: 23 December 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/248328

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Parametric resonances for nonlinear problems in mechanics (70K28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

Nonlinear coupling of transverse modes of a fixed-fixed microbeam under direct and parametric excitation ⋮ New nonlinear controller for a class of chaotic systems based on adaptive backstepping fuzzy-immune control ⋮ Bifurcations and chaos in two-coupled periodically driven four-well Duffing-van der Pol oscillators ⋮ A preliminary study into emergent behaviours in a lattice of interacting nonlinear resonators and oscillators ⋮ Quasi-synchronization dynamics of coupled and driven plasma oscillators ⋮ Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control

Cites Work

• Synchronization of four coupled Van der Pol oscillators
• Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
• Bifurcation of periodic motions in two weakly coupled van der Pol oscillators
• Dynamics of four coupled phase-only oscillators
• Analog simulation of the dynamics of a van der Pol oscillator coupled to a Duffing oscillator
• A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics
• Unnamed Item

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