Interpretation:
The nullclines are to be sketched for a system
Concept Introduction:
A supercritical Hopf bifurcation occurs at a fixed point when a stable spiral changes into an unstable spiral at that point.
A supercritical Hopf bifurcation occurs when the size of the limit cycle grows continuously from zero.
The fixed point is unstableif both eigenvalues are positive.
If both eigenvalues are negative, the fixed point is stable.
The fixed point is a saddle if the eigenvalues are of opposite sign.
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Nonlinear Dynamics and Chaos
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning