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MS#38. A Chaotic Blue Sky Catastrophe in Forced Relaxation Oscillations, 1985
- with H. Bruce Stewart
- Physica 21D, 1986, pp. 394-400.
- Abstract: The chaotic attractor of a periodically forced Van der Pol
oscillator (Shaw variant) is observed in digital simulation, and is
made to vanish in a blue sky catastrophe by increasing a constant (bias) term in the force.
The detailed bifurcation diagram, based on extensive simulations,
reveals the involvement of the homoclinic outset of a nearby limit cycle of saddle type.
- [PDF] 7 pages, 700 KB
Last revised
by Ralph Abraham
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