1995/08/31 by Mercè Ollé, Ollé, Mercè, D. Pfenniger +2
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Theoretical and Computational Physics #chao-dyn #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9508008
5 pages, self-unpacking uuencoded compressed Postscript, Contribution at the NATO ASI Conference on "Hamiltonian Systems with Three or More Degrees of Freedom, Barcelona, Spain, June 19-30, 1995
arxiv created 1995/08/31 · openalex publication_date 1995/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
The properties of motion close to the transition of a stable family of periodic orbits to complex instability is investigated with two symplectic 4D mappings, natural extensions of the standard mapping. As for the other types of instabilities new families of periodic orbits may bifurcate at the transition; but, more generally, families of \sl isolated invariant curves bifurcate, similar to but distinct from a Hopf bifurcation. The evolution of the stable invariant curves and their bifurcations are described.