Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation

DOI10.1137/130912542zbMath1284.34069OpenAlexW2019684585WikidataQ114476415 ScholiaQ114476415MaRDI QIDQ2871379

Pablo Aguirre, Bernd Krauskopf, Hinke M. Osinga

Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/135311

zbMATH Keywords

inclination fliporbit flipnonorientable manifoldshomoclinic bifurcationsheteroclinic bifurcationsglobal invariant manifolds

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Approximation methods and numerical treatment of dynamical systems (37M99)

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Uses Software

• HomCont