The NHIM bifurcation scenario of a particle in an asymmetric binary system of dwarf galaxies
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912892484321280 |
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| author | Jung, Christof Montoya, Francisco Gonzalez |
| author_facet | Jung, Christof Montoya, Francisco Gonzalez |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_11128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The NHIM bifurcation scenario of a particle in an asymmetric binary system of dwarf galaxies Jung, Christof Montoya, Francisco Gonzalez Chaotic Dynamics Astrophysics of Galaxies Classical Physics 37Dxx, 37Mxx, 70Mxx, 70Kxx, 34C45, 34C37, 34C23 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. |
| title | The NHIM bifurcation scenario of a particle in an asymmetric binary system of dwarf galaxies |
| topic | Chaotic Dynamics Astrophysics of Galaxies Classical Physics 37Dxx, 37Mxx, 70Mxx, 70Kxx, 34C45, 34C37, 34C23 |
| url | https://arxiv.org/abs/2508.11128 |