THE STRUCTURE OF INVARIANT TORI IN A 3D GALACTIC POTENTIAL

DOI10.1142/S0218127411028520zbMath1210.85003arXiv1009.1993OpenAlexW3103884620MaRDI QIDQ2994871

Matthaios Katsanikas, P. A. Patsis

Publication date: 29 April 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1993

zbMATH Keywords

invariant torigalactic dynamics4D surfaces of sectionchaos and dynamical systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Galactic and stellar dynamics (85A05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (8)

STUDYING THE BASIN OF CONVERGENCE OF METHODS FOR COMPUTING PERIODIC ORBITS ⋮ THE STRUCTURE AND EVOLUTION OF CONFINED TORI NEAR A HAMILTONIAN HOPF BIFURCATION ⋮ Revealing roaming on the double Morse potential energy surface with Lagrangian descriptors ⋮ Visualizing the phase space of the HeI\(_2\) van der Waals complex using Lagrangian descriptors ⋮ Global structure of regular tori in a generic 4D symplectic map ⋮ Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials ⋮ INSTABILITIES AND STICKINESS IN A 3D ROTATING GALACTIC POTENTIAL ⋮ THE STRUCTURE OF PHASE SPACE CLOSE TO FIXED POINTS IN A 4D SYMPLECTIC MAP

Uses Software

• Mathematica

Cites Work

• Simple three-dimensional periodic orbits in a galactic-type potential
• Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom
• The stability of periodic orbits in the three-body problem
• Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics
• USING COLOR AND ROTATION FOR VISUALIZING FOUR-DIMENSIONAL POINCARÉ CROSS-SECTIONS: WITH APPLICATIONS TO THE ORBITAL BEHAVIOR OF A THREE-DIMENSIONAL HAMILTONIAN SYSTEM
• PERIODIC ORBITS AND INVARIANT SURFACES OF 4D NONLINEAR MAPPINGS
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems

This page was built for publication: THE STRUCTURE OF INVARIANT TORI IN A 3D GALACTIC POTENTIAL