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.

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Year of publication:	2013-02
Authors:	Datta, Soumya

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Type of publication:	Book / Working Paper
Language:	English
Notes:	Datta, Soumya (2013): Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems.
Classification:	C62 - Existence and Stability Conditions of Equilibrium ; C69 - Mathematical Methods and Programming. Other
Source:	BASE

Persistent link: https://www.econbiz.de/10015239337