Basin Boundary Bifurcations and Boundary Crisis in the Twin-Well Duffing Oscillator: Scenarios Related to the Saddle of the Large Resonant Orbit

DOI10.1142/S0218127497000091zbMath0887.34034OpenAlexW2114072847MaRDI QIDQ4374483

Krzysztof L. Janicki, Wanda Szemplińska-Stupnicka

Publication date: 14 May 1998

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

Full work available at URL: https://doi.org/10.1142/s0218127497000091

zbMATH Keywords

bifurcationDuffing systemcross-well chaotic attractor\(T\)-periodic attractor

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Optimal migratory behavior in spatially-explicit seasonal environments ⋮ CYCLIC-FOLD BIFURCATION AND BOUNDARY CRISIS IN DYNAMIC WALKING OF BIPED ROBOTS ⋮ Sequences of Global Bifurcations and the Related Outcomes after Crisis of the Resonant Attractor in a Nonlinear Oscillator ⋮ NEW PHENOMENA IN THE NEIGHBORHOOD OF THE CODIMENSION-TWO BIFURCATION IN THE TWIN-WELL DUFFING OSCILLATOR ⋮ COALESCENCE OF THE TWO SECONDARY RESPONSES IN COUPLED DUFFING EQUATIONS

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