2025/08/15 by Christof Jung, Jung, Christof, Francisco González Montoya +1
Engineering · Physics and Astronomy · #34C23 #34C37 #34C45 #37Dxx #37Mxx #70Kxx #70Mxx #Astrophysics of Galaxies (astro-ph.GA) #Chaotic Dynamics (nlin.CD) #Classical Physics (physics.class-ph) #FOS: Physical sciences #Pulsars and Gravitational Waves Research #Quantum chaos and dynamical systems #Spacecraft Dynamics and Control
paper · doi:10.48550/arxiv.2508.11128
openalex publication_date 2025/08/15 · openalex created_date 2026/02/12 · openalex updated_date 2026/07/28
We study the bifurcation scenario of a three-degree-of-freedom Hamiltonian system, a model based on the Lagrange restricted 3-body problem: a test particle moving in the gravitational field of a pair of interacting dwarf galaxies. The phase space of this system has 3 fundamental normally hyperbolic invariant manifolds (NHIMs) and their invariant stable and unstable manifolds form homoclinic/heteroclinic tangles. As the perturbation parameter increases, the NHIMs begin to lose normal hyperbolicity and their constituent KAM tori break, creating transient chaotic dynamics around them. We also observe a certain kind of coordination between the bifurcation scenarios of these NHIMs. We analyse this phenomenon using Poincaré maps and the delay time function.