Abstract
The sinusoidally drive, twin-well Duffing oscillator has become a central archetypal model for studies of chaos and fractal basin boundaries in the nonlinear dynamics of dissipative ordinary differential equations. It can also be used to illustrate and elucidate universal features of the escape from a potential well, the jumps from one-well to cross-well motions displaying similar characteristics to those recently charted for the cubic one-well potential. We identify here some new codimension-two global bifurcations which serve to organize the bifurcation set and structure the related basin explosions and escape phenomena.
Subject
Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science
Reference23 articles.
1. Abraham R. H. 1985 Outstructures of the Lorenz attractor. In Chaos fractals and dynamics (ed. P. Fischer & W. R. Smith). New York: Dekker.
2. Abraham R. H. & Shaw C. D. 1982-8 Dynamics: The geometry of : part 1 Periodic behaviour (1982); part 2 Chaotic behaviour (1983); part 3 Global behaviour (1985); part 4 Bifurcation behaviour (1988). Santa Cruz: Aerial Press.
3. Basins of attraction in driven dynamical systems
4. ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
5. Basin boundary metamorphoses: Changes in accessible boundary orbits
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