scientific article

zbMath0733.65050MaRDI QIDQ3359671

Wolf-Jürgen Beyn

Publication date: 1991

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

chaosperiodic orbitsNewton's methoddynamical systemsinvariant manifoldsturning pointshomoclinic bifurcationloss of hyperbolicityscaling transformationstationary pointssurvey articlecenter manifold reductionMelnikov's methodTakens-Bogdanov pointcompact invariant setsHopf pointssingular periodic orbitscomparison of trajectoriesdiscrete and continuous flowsone-parameter systemssaddle nodes

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems with hyperbolic behavior (37D99)

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