Question
2. Consider the Hopf normal form u -1 @ u +v v -@ V (a) Show that there exist a periodic solution of period
2. Consider the Hopf normal form u -1 @ u +v v -@ V (a) Show that there exist a periodic solution of period 2/ and amplitude 1. (b) Using the modern Lyapunov approach show that the equilibrium is locally asymptotically stable. (c) Using a barrier function show that the disc of radius 1 is forward invariant.
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Management Accounting Information for Decision-Making and Strategy Execution
Authors: Anthony A. Atkinson, Robert S. Kaplan, Ella Mae Matsumura, S. Mark Young
6th Edition
978-0137024971
