Nilpotent normal form for divergence-free vector fields and volume-preserving maps
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Publication:2477687
DOI10.1016/j.physd.2007.08.014zbMath1141.37005arXiv0706.1575OpenAlexW2045614403MaRDI QIDQ2477687
Holger R. Dullin, James D. Meiss
Publication date: 14 March 2008
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.1575
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Related Items (7)
Dynamical systems on the Liouville plane and the related strictly contact systems ⋮ Anti-integrability for Three-Dimensional Quadratic Maps ⋮ Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations ⋮ Connecting Anti-integrability to Attractors for Three-Dimensional Quadratic Diffeomorphisms ⋮ Normal form for high-dimensional nonlinear system and its application to a viscoelastic moving belt ⋮ Accelerator modes and anomalous diffusion in 3D volume-preserving maps ⋮ Bifurcations in volume-preserving systems
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