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- Bifurcation_theory abstract "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. Bifurcations occur in both continuous systems (described by ODEs, DDEs or PDEs) and discrete systems (described by maps). The name \"bifurcation\" was first introduced by Henri Poincaré in 1885 in the first paper in mathematics showing such a behavior. Henri Poincaré also later named various types of stationary points and classified them.".
- Bifurcation_theory thumbnail Saddlenode.gif?width=300.
- Bifurcation_theory wikiPageExternalLink nldyn.htm.
- Bifurcation_theory wikiPageExternalLink p991_1.
- Bifurcation_theory wikiPageExternalLink bifurcations.php.
- Bifurcation_theory wikiPageExternalLink books?id=s1zdBwAAQBAJ.
- Bifurcation_theory wikiPageID "2326042".
- Bifurcation_theory wikiPageLength "11552".
- Bifurcation_theory wikiPageOutDegree "44".
- Bifurcation_theory wikiPageRevisionID "708178794".
- Bifurcation_theory wikiPageWikiLink Bifurcation_diagram.
- Bifurcation_theory wikiPageWikiLink Bifurcation_memory.
- Bifurcation_theory wikiPageWikiLink Blue_sky_catastrophe.
- Bifurcation_theory wikiPageWikiLink Bogdanov–Takens_bifurcation.
- Bifurcation_theory wikiPageWikiLink Catastrophe_theory.
- Bifurcation_theory wikiPageWikiLink Category:Bifurcation_theory.
- Bifurcation_theory wikiPageWikiLink Category:Nonlinear_systems.
- Bifurcation_theory wikiPageWikiLink Crisis_(dynamical_systems).
- Bifurcation_theory wikiPageWikiLink Delay_differential_equation.
- Bifurcation_theory wikiPageWikiLink Differential_equation.
- Bifurcation_theory wikiPageWikiLink Dynamical_system.
- Bifurcation_theory wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Bifurcation_theory wikiPageWikiLink Equilibrium_point.
- Bifurcation_theory wikiPageWikiLink Feigenbaum_constants.
- Bifurcation_theory wikiPageWikiLink Floquet_theory.
- Bifurcation_theory wikiPageWikiLink Henri_Poincaré.
- Bifurcation_theory wikiPageWikiLink Heteroclinic_bifurcation.
- Bifurcation_theory wikiPageWikiLink Homoclinic_bifurcation.
- Bifurcation_theory wikiPageWikiLink Hopf_bifurcation.
- Bifurcation_theory wikiPageWikiLink Infinite-period_bifurcation.
- Bifurcation_theory wikiPageWikiLink Integral_curve.
- Bifurcation_theory wikiPageWikiLink Jacobian_matrix_and_determinant.
- Bifurcation_theory wikiPageWikiLink Limit_cycle.
- Bifurcation_theory wikiPageWikiLink Martin_Gutzwiller.
- Bifurcation_theory wikiPageWikiLink Mathematics.
- Bifurcation_theory wikiPageWikiLink Neimark-Sacker_bifurcation.
- Bifurcation_theory wikiPageWikiLink Ordinary_differential_equation.
- Bifurcation_theory wikiPageWikiLink Partial_differential_equation.
- Bifurcation_theory wikiPageWikiLink Period-doubling_bifurcation.
- Bifurcation_theory wikiPageWikiLink Phase_portrait.
- Bifurcation_theory wikiPageWikiLink Pitchfork_bifurcation.
- Bifurcation_theory wikiPageWikiLink Quantum_chaos.
- Bifurcation_theory wikiPageWikiLink Resonant-tunneling_diode.
- Bifurcation_theory wikiPageWikiLink Saddle-node_bifurcation.
- Bifurcation_theory wikiPageWikiLink Saddle_point.
- Bifurcation_theory wikiPageWikiLink Stationary_point.
- Bifurcation_theory wikiPageWikiLink Topology.
- Bifurcation_theory wikiPageWikiLink Transcritical_bifurcation.
- Bifurcation_theory wikiPageWikiLink Vector_field.
- Bifurcation_theory wikiPageWikiLink File:Chaosorderchaos.png.
- Bifurcation_theory wikiPageWikiLink File:Saddlenode.gif.
- Bifurcation_theory wikiPageWikiLinkText "Bifurcation theory".
- Bifurcation_theory wikiPageWikiLinkText "Bifurcation".
- Bifurcation_theory wikiPageWikiLinkText "bifurcate".
- Bifurcation_theory wikiPageWikiLinkText "bifurcating".
- Bifurcation_theory wikiPageWikiLinkText "bifurcation analysis".
- Bifurcation_theory wikiPageWikiLinkText "bifurcation parameter".
- Bifurcation_theory wikiPageWikiLinkText "bifurcation point".
- Bifurcation_theory wikiPageWikiLinkText "bifurcation points".
- Bifurcation_theory wikiPageWikiLinkText "bifurcation theory".
- Bifurcation_theory wikiPageWikiLinkText "bifurcation".
- Bifurcation_theory wikiPageWikiLinkText "bifurcational".
- Bifurcation_theory wikiPageWikiLinkText "bifurcations".
- Bifurcation_theory wikiPageWikiLinkText "branching".
- Bifurcation_theory wikiPageWikiLinkText "global bifurcation".
- Bifurcation_theory wikiPageWikiLinkText "mathematical theory of bifurcations".
- Bifurcation_theory wikiPageWikiLinkText "tipping point".
- Bifurcation_theory wikiPageUsesTemplate Template:Chaos_theory.
- Bifurcation_theory wikiPageUsesTemplate Template:Cite_book.
- Bifurcation_theory wikiPageUsesTemplate Template:Portal.
- Bifurcation_theory wikiPageUsesTemplate Template:Reflist.
- Bifurcation_theory subject Category:Bifurcation_theory.
- Bifurcation_theory subject Category:Nonlinear_systems.
- Bifurcation_theory hypernym Study.
- Bifurcation_theory type Book.
- Bifurcation_theory type Redirect.
- Bifurcation_theory type Concept.
- Bifurcation_theory comment "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.".
- Bifurcation_theory label "Bifurcation theory".
- Bifurcation_theory sameAs Q1154357.
- Bifurcation_theory sameAs نظرية_التشعب.
- Bifurcation_theory sameAs Bifurcació_(matemàtiques).
- Bifurcation_theory sameAs Bifurkation_(Mathematik).
- Bifurcation_theory sameAs Bifurcación_(matemática).
- Bifurcation_theory sameAs Bifurkaatio.
- Bifurcation_theory sameAs Théorie_des_bifurcations.
- Bifurcation_theory sameAs Teoria_delle_biforcazioni.
- Bifurcation_theory sameAs 分岐_(カオス理論).
- Bifurcation_theory sameAs 분기_(동역학계).
- Bifurcation_theory sameAs Bifurkacija_(matematika).
- Bifurcation_theory sameAs Bifurcatietheorie.
- Bifurcation_theory sameAs Bifurkacja_(matematyka).
- Bifurcation_theory sameAs m.073zg3.
- Bifurcation_theory sameAs Теория_бифуркаций.
- Bifurcation_theory sameAs Теорія_біфуркацій.
- Bifurcation_theory sameAs Q1154357.
- Bifurcation_theory sameAs 分岔理論.
- Bifurcation_theory wasDerivedFrom Bifurcation_theory?oldid=708178794.
- Bifurcation_theory depiction Saddlenode.gif.
- Bifurcation_theory isPrimaryTopicOf Bifurcation_theory.