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A chaotic blue sky catastrophe in forced relaxation oscillations - MaRDI portal

A chaotic blue sky catastrophe in forced relaxation oscillations (Q1081935)

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scientific article; zbMATH DE number 3971829
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English
A chaotic blue sky catastrophe in forced relaxation oscillations
scientific article; zbMATH DE number 3971829

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    A chaotic blue sky catastrophe in forced relaxation oscillations (English)
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    1986
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    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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    chaotic attractor of a periodically forced Van der Pol oscillator
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