Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations

DOI10.1137/080728160zbMath1183.37090arXiv0807.0678OpenAlexW1998778871MaRDI QIDQ3624500

Holger R. Dullin, James D. Meiss

Publication date: 30 April 2009

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

Full work available at URL: https://arxiv.org/abs/0807.0678

zbMATH Keywords

bifurcationHopf bifurcationHénon mapincompressible flowNeimark-Sacker bifurcationvolume-preserving mapsaddle-centerstring of pearls

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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