Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems

Datta, Soumya (2013): Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems.

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
• 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 Equilibrium; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C69 - Other

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