Determine the basin of attraction of the origin for the system x = x(x2 + y2

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Determine the basin of attraction of the origin for the system

˙ x = x(x2 + y2 − 4) − y, ˙ y = x + y(x2 + y2 − 4)

using the Lyapunov function V (x, y) = x2 + y2.

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Dynamical Systems With Applications Using Mathematica

ISBN: 978-3319870892

1st Edition

Authors: Stephen Lynch

Question Posted: Sep 20, 2024 06:04 AM

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Determine the basin of attraction of the origin for the system x = x(x2 + y2

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Dynamical Systems With Applications Using Mathematica

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