On Periodic Perturbations of Asymmetric Duffing–Van-der-Pol Equation

DOI10.1142/S0218127414500618zbMath1296.34090arXiv1412.1126OpenAlexW2077136027MaRDI QIDQ2920768

Ol'Ga Sergeevna Kostromina, Albert D. Morozov

Publication date: 29 September 2014

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

Full work available at URL: https://arxiv.org/abs/1412.1126

zbMATH Keywords

limit cyclesresonanceshomoclinic structures

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• ON THE GLOBAL BEHAVIOR OF SELF-OSCILLATORY SYSTEMS
• Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight

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