Splitting of complex separatrices

DOI10.1007/BF01077616zbMath0667.58051MaRDI QIDQ1117542

V. F. Lazutkin

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

stable manifoldunstable manifoldhyperbolic pointsbiholomorphic mapcomplex separatrices

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

On quadratic symplectic mappings ⋮ Homoclinic and heteroclinic intersections for lemon billiards ⋮ Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example

Cites Work

• Shift automorphisms in the Henon mapping
• A two-dimensional mapping with a strange attractor
• Topological horseshoe and numerically observed chaotic behaviour in the Henon mapping

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