By considering the flow across the square with coordinates (1, 1), (1,1), (1,1), (1, 1), centered at

Question:

By considering the flow across the square with coordinates (1, 1), (1,−1),

(−1,−1), (−1, 1), centered at the origin, prove that the system

˙ x = −y + x cos(πx), ˙ y = x − y3 has a stable limit cycle. Plot the vector field, limit cycle, and square.

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Dynamical Systems With Applications Using Mathematica

ISBN: 978-3319870892

1st Edition

Authors: Stephen Lynch

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Question Posted: Sep 20, 2024 06:04 AM

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By considering the flow across the square with coordinates (1, 1), (1,1), (1,1), (1, 1), centered at

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Dynamical Systems With Applications Using Mathematica

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