Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems
Using a macroeconomic example, the paper proposes an algorithm to symbolically construct the topological normal form of Andronov-Hopf bifurcation. It also offers a program, using the Computer Algebra System `Maxima', to apply this algorithm. In case the limit cycle turns out to be unstable, the possibilities of the dynamics converging to another limit cycle is explored.
|Date of creation:||Feb 2013|
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