The limit cycle found in comes into existence as a result of a Hopf bifurcation at a

Chapter 9, Problem 13

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The limit cycle found in comes into existence as a result of a Hopf bifurcation at a value c1 of c between 1 and 1.3. Determine, or at least estimate more precisely, the value of c1. There are several ways in which you might do this. G a. Draw plots of trajectories for different values of c. b. Calculate eigenvalues at critical points for different values of c. c. Use the result of above.

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