BIFURCATION PHENOMENA IN THE 1:1 RESONANT HORN FOR THE FORCED VAN DER POL—DUFFING EQUATION

DOI10.1142/S0218127492000094zbMath0878.34032OpenAlexW2083820742MaRDI QIDQ4348324

U. A. Komlev, Alexander S. Dmitriev, Dmitry V. Turaev

Publication date: 14 August 1997

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

Full work available at URL: https://doi.org/10.1142/s0218127492000094

zbMATH Keywords

chaosdissipationperiod-doubling bifurcationsbirth, growth and merging of homoclinic structuresforced van der Pol-Duffing equationHorn bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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