BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS

DOI10.1142/S0218127412300224zbMath1270.34084OpenAlexW2066959861MaRDI QIDQ2843563

Tetsuro Endo, Motomasa Komuro, Kyohei Kamiyama

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412300224

zbMATH Keywords

saddle-node bifurcationpitchfork bifurcationbistable oscillatormutual couplingunstable invariant closed curveunstable quasi-periodic oscillation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Multifrequency systems of ordinary differential equations (34C46)

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Cites Work

• A procedure for finding numerical trajectories on chaotic saddles
• Second-order averaging of forced and coupled nonlinear oscillators
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• Multimode oscillations in a coupled oscillator system with fifth-power nonlinear characteristics
• Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators
• Multimode oscillations in mutually coupled van der Pol type oscillators with fifth-power nonlinear characteristics

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