Bifurcations and complex instability in a 4-dimensional symplectic mapping

DOI10.1007/BF01561006zbMath0667.70025OpenAlexW2014110266MaRDI QIDQ1117723

Antonio Giorgilli, George Contopoulos

Publication date: 1988

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01561006

zbMATH Keywords

bifurcations4-dimensional symplectic mappingcomplex unstable regionsKrein-Moser theoremmain periodic solutionstwo coupled 2- dimensional mappings

Mathematics Subject Classification ID

Free motions in linear vibration theory (70J30) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Bifurcations of families of 1D-tori in 4D symplectic maps ⋮ Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials

Cites Work

• New aspects in the theory of stability of Hamiltonian systems
• Simple mathematical models with very complicated dynamics

This page was built for publication: Bifurcations and complex instability in a 4-dimensional symplectic mapping