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Pitchfork Bifurcation
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation. Pitchfork bifurcations, like Hopf bifurcations have two types - supercritical or subcritical. In flows, that is, continuous dynamical systems described by ODEs, pitchfork bifurcations occur generically in systems with symmetry. Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Most commonly applied to the mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden ''qualitative'' or topological change in its behaviour.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131302893
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131302893
- Format Fachbuch
- Titel Pitchfork Bifurcation
- Herausgeber Betascript Publishing
- Anzahl Seiten 68
- Genre Mathematik
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