Homoclinic Orbits in the Modified Van der Pol System
DOI:
https://doi.org/10.5540/03.2025.011.01.0405Keywords:
Homoclinic orbits, Van der Pol system, Shilnikov theorem, Non linear systemAbstract
This work studies a three non-linear ordinary differential equation system, depending on a set of eight parameters, which describes an economic model. The set of parameters are constrained in order to satisfy the Shilnikov Theorem, this is required when looking for the conditions for the existence of homoclinic orbits in a three-dimensional autonomous system.
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References
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