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.
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Last revised by Ralph Abraham