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Abstract

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.



Item Type: MPRA Paper -

Original Title: Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems-

Language: English-

Keywords: Andronov-Hopf bifurcation, Limit cycles-

Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of EquilibriumC - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C69 - Other-





Autor: Datta, Soumya

Fuente: https://mpra.ub.uni-muenchen.de/50814/



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