Interpretation:
To show by using Poincare-Bendixson Theorem that the system has at least one periodic solution.
Concept Introduction:
Poincare-Bendixson Theorem: If
R is a closed, bounded subset of the plane
R doesn’t contain any fixed points
There exists a trajectory C that is confined in R, in the sense that it starts in R and stays in R for all future time whether C is closed orbit, or it spirals towards a closed orbit as
To check the stability of fixed point use Jacobian matrix
The point
Relation between polar and Cartesian
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Nonlinear Dynamics and Chaos
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