BASIN EROSION IN THE TWIN-WELL DUFFING OSCILLATOR: TWO DISTINCT BIFURCATION SCENARIOS

DOI10.1142/S0218127492000677zbMath0878.34034OpenAlexW2068755853MaRDI QIDQ4348274

H. Bruce Stewart, Alexis N. Lansbury, J. M. T. Thompson

Publication date: 4 January 1998

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

Full work available at URL: https://doi.org/10.1142/s0218127492000677

zbMATH Keywords

bifurcationssubharmonicschaotic saddlefractal structurebasin boundaryhomoclinic tangencystability of attractorstwin-well Duffing oscillatorcontrol-phase portraitsheteroclinic chainsseparatrix actionSmale cyclesstandard horseshoethree layer template

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45)

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