Cover Image

Fold of a bifurcation solution from the figure-eight choreography in the three body problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fukuda, Hiroshi, Ozaki, Hiroshi
Format:	Preprint
Published:	2026
Subjects:	Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bifurcation analysis of figure-eight choreography in the three-body problem based on crystallographic point groups
by: Fukuda, Hiroshi, et al.
Published: (2024)

Variational principle of action and group theory for bifurcation of figure-eight solutions
by: Fujiwara, Toshiaki, et al.
Published: (2020)

On the four-body limaçon choreography: maximal superintegrability and choreographic fragmentation
by: Escobar-Ruiz, Adrian M, et al.
Published: (2025)

Analysis of pitchfork bifurcations and symmetry breaking in the elliptic restricted three-body problem
by: Shu, Haozhe, et al.
Published: (2025)

Analytical computation of bifurcation of orbits near collinear libration point in the restricted three-body problem
by: Lin, Mingpei, et al.
Published: (2024)

The symplectic geometry of the three-body problem
by: Moreno, Agustin
Published: (2021)

Sun-Jupiter-Saturn System may exist: A verified computation of quasiperiodic solutions for the planar three body problem
by: Figueras, Jordi-Lluís, et al.
Published: (2024)

Second-species dynamics in the restricted planar circular three body problem: chaos, final motions and periodic orbits
by: Guardia, Marcel, et al.
Published: (2025)

Periodic orbits near collision in a restricted four-body problem for the eight choreography
by: Bengochea, Abimael, et al.
Published: (2024)

A Kustaanheimo-Stiefel regularization of the elliptic restricted three-body problem and the detection of close encounters with fast Lyapunov indicators
by: Rossi, Mattia, et al.
Published: (2022)

Scattering for time periodic Hamiltonians on graphs
by: Isozaki, Hiroshi, et al.
Published: (2025)

Finite energy foliations and global dynamics in the restricted three-body problem
by: Liu, Lei, et al.
Published: (2025)

Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
by: Guardia, Marcel, et al.
Published: (2024)

Stability and bifurcations of resonances in ring's dynamics
by: Celletti, Alessandra, et al.
Published: (2025)

Ground state energy of the low density Bose gas with two-body and three-body interactions
by: Visconti, François L. A.
Published: (2024)

Phase and frequency linear response theory for hyperbolic chaotic oscillators
by: Tönjes, Ralf, et al.
Published: (2017)

Adaptive sampling-based optimization of quantics tensor trains for noisy functions: applications to quantum simulations
by: Sakaue, Kohtaroh, et al.
Published: (2024)

Second order energy expansion of Bose gases with three-body interactions
by: Brooks, Morris
Published: (2024)

Boundary value problem of magnetically insulated diode: existence of solutions and complex bifurcation
by: Sidorov, Denis, et al.
Published: (2025)

RG analysis of spontaneous stochasticity on a fractal lattice: stability and bifurcations
by: Mailybaev, Alexei A.
Published: (2024)

Ground state energy of a dilute Bose gas with three-body hard-core interactions
by: Junge, Lukas, et al.
Published: (2024)

The dynamics around the collinear points of the elliptic three-body problem: A normal form approach
by: Celletti, Alessandra, et al.
Published: (2025)

On the bifurcation of a Dirac point in a photonic waveguide without band gap openning
by: Qiu, Jiayu, et al.
Published: (2023)

Nonabelian ferromagnets with three-body interactions
by: Polychronakos, Alexios P., et al.
Published: (2025)

Hopf bifurcations in dynamics of excitable systems
by: De Angelis, Monica
Published: (2023)

The Hopf bifurcation theorem in Banach spaces
by: Kawanago, Tadashi
Published: (2023)

Sesquilinear forms as eigenvectors in quasi *-algebras, with an application to ladder elements
by: Bagarello, Fabio, et al.
Published: (2025)

AdS $N$-body problem at large spin
by: Kravchuk, Petr, et al.
Published: (2024)

Exact linear representations of the nonlinear Cauchy problems and their smooth solutions
by: Kosovtsov, Yu. N.
Published: (2023)

Quantum mechanics as a solution to the classical self-force problem
by: Knoll, Yehonatan
Published: (2009)

Solving one-body ensemble N-representability problems with spin
by: Liebert, Julia, et al.
Published: (2024)

Consistency of eight-dimensional supergravities: Anomalies, Lattices and Counterterms
by: Lao, Bing-Xin, et al.
Published: (2023)

Hopf bifurcation of a non-parallel Navier-Stokes flow
by: Chen, Zhi-Min
Published: (2024)

Model of the effective separable potential in the problem of three one-dimensional quantum particles
by: Levin, Sergey B., et al.
Published: (2024)

Isles of regularity in a sea of chaos amid the gravitational three-body problem
by: Trani, Alessandro Alberto, et al.
Published: (2024)

Localized wave solutions of three-component defocusing Kundu-Eckhaus equation with 4x4 matrix spectral problem
by: Wang, Yanan, et al.
Published: (2025)

The Born approximation in the three-dimensional Calderón problem
by: Barceló, Juan A., et al.
Published: (2021)

Nuclear stability and the Fold Catastrophe
by: Jain, Samyak, et al.
Published: (2023)

Green functions and completeness; the $3$-body problem revisited
by: Skibsted, Erik
Published: (2022)

Stochastic quantization associated with the $\exp(Φ)_2$-quantum field model driven by space-time white noise on the torus
by: Hoshino, Masato, et al.
Published: (2019)