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Unformatted text preview: following two ways. (i) Calculate the eigenvalues of the linearization evaluated at the attractor. (ii) Sketch a trapping region which contains the attractor. Use the functions V 1 ( x, y ) =-1 2 x 2 + 1 3 x 3 (3) and V 2 ( x, y ) = 1 2 y 2 (4) to deduce that this attractor is asymptotically stable. Hint: use the LaSalle Invariance Principle. 1...
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- Fall '08