ANDRONOV–HOPF BIFURCATION OF HIGHER CODIMENSIONS IN A LIÉNARD SYSTEM

DOI10.1142/S0218127412502719zbMath1258.34077OpenAlexW2143936181MaRDI QIDQ4908376

Alexander Grin, Klaus R. Schneider

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412502719

zbMATH Keywords

Liénard systembifurcation diagramsmultiple limit cyclesdegenerate Andronov-Hopf bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Unnamed Item
• On the construction of bifurcation curves related to limit cycles of multiplicity three for planar vector fields
• Limit cycles of the Liénard equation with discontinuous coefficients
• Kantorovich theorem and justification of asymptotics of solutions of differential equations with large high-frequency summands
• Classification and unfoldings of degenerate Hopf bifurcations
• Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
• Comparaison de la Méthode des Constantes de Lyapunov et de la Bifurcation de Hopf^*
• The number of small-amplitude limit cycles of Liénard equations
• Averaging methods in nonlinear dynamical systems

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