Concept explainers
Interpretation:
For the given function
Concept Introduction:
Bifurcation theory is used to study the stability of dynamical systems.
The phenomenon in which fixed points are created and destroyed by varying the control parameter is termed as saddle-node bifurcation.
Fixed points are the points where,
A pitchfork bifurcation occurs where the system transitions from one fixed point to three fixed points.
A subcritical pitchfork bifurcation occurs when there is a single unstable fixed point present, which after the change of parameters becomes unstable, and two new symmetric unstable fixed points appear.
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EBK NONLINEAR DYNAMICS AND CHAOS WITH S
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage