NEW PHENOMENA IN THE NEIGHBORHOOD OF THE CODIMENSION-TWO BIFURCATION IN THE TWIN-WELL DUFFING OSCILLATOR
DOI10.1142/S0218127400000888zbMath1090.70510OpenAlexW2135728607MaRDI QIDQ5474103
A. Zubrzycki, Elżbieta Tyrkiel, Wanda Szemplińska-Stupnicka
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127400000888
Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)
Related Items (2)
Uses Software
Cites Work
- Strange attractors
- Survey of regular and chaotic phenomena in the forced Duffing oscillator
- Properties of chaotic and regular boundary crisis in dissipative driven nonlinear oscillators
- Basin explosions and escape phenomena in the twin-well Duffing oscillator: compound global bifurcations organizing behaviour
- Catastrophes with indeterminate outcome
- A nonlinear oscillator with a strange attractor
- FROM SINGLE WELL CHAOS TO CROSS WELL CHAOS: A DETAILED EXPLANATION IN TERMS OF MANIFOLD INTERSECTIONS
- BASIN EROSION IN THE TWIN-WELL DUFFING OSCILLATOR: TWO DISTINCT BIFURCATION SCENARIOS
- DETERMINATION OF CRISIS PARAMETER VALUES BY DIRECT OBSERVATION OF MANIFOLD TANGENCIES
- Basin Boundary Bifurcations and Boundary Crisis in the Twin-Well Duffing Oscillator: Scenarios Related to the Saddle of the Large Resonant Orbit
- Sequences of Global Bifurcations and the Related Outcomes after Crisis of the Resonant Attractor in a Nonlinear Oscillator
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