Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems
AbstractUsing 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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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 50814.
Date of creation: Feb 2013
Date of revision:
Andronov-Hopf bifurcation; Limit cycles;
Find related papers by JEL classification:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-10-25 (All new papers)
- NEP-CMP-2013-10-25 (Computational Economics)
- NEP-MAC-2013-10-25 (Macroeconomics)
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