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Concept Introduction:
Bifurcation is used to study the stability of the dynamical systems.
In pitchfork bifurcation, the fixed points appear and disappear in symmetrical pairs.
There are two types of pitchfork bifurcation. One is supercritical, and another is subcritical.
In supercriticalbifurcation, a stable fixed point is present, and after changing parameters, it becomes unstable, and two new symmetric unstable points generate.
In subcriticalbifurcation, an unstable fixed point is present, and after changing parameters, it becomes stable, and two new symmetric stable points generate.
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EBK NONLINEAR DYNAMICS AND CHAOS WITH S
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning