Show that the system (x^{prime}=x-y-x^{3}, y^{prime}=x+y-y^{3}), has at least one limit cycle by picking an appropriate (psi(x,

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Show that the system $x^{\prime}=x-y-x^{3}, y^{\prime}=x+y-y^{3}$, has at least one limit cycle by picking an appropriate $\psi(x, y)$ in Dulac's Criteria.

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A Course In Mathematical Methods For Physicists

ISBN: 9781138442085

1st Edition

Authors: Russell L Herman

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Question Posted: May 24, 2024 03:02 AM

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Show that the system (x^{prime}=x-y-x^{3}, y^{prime}=x+y-y^{3}), has at least one limit cycle by picking an appropriate (psi(x,

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A Course In Mathematical Methods For Physicists

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