INSTABILITIES AND STICKINESS IN A 3D ROTATING GALACTIC POTENTIAL

DOI10.1142/S021812741330005XzbMath1270.85004arXiv1201.2108OpenAlexW2052802744MaRDI QIDQ2845136

George Contopoulos, Matthaios Katsanikas, P. A. Patsis

Publication date: 22 August 2013

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

Full work available at URL: https://arxiv.org/abs/1201.2108

zbMATH Keywords

invariant manifoldsgalactic dynamics4D surfaces of sectionchaos and dynamical systemsstickiness in chaos

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Galactic and stellar dynamics (85A05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (7)

Coriolis coupling in a Hénon-Heiles system ⋮ Revealing roaming on the double Morse potential energy surface with Lagrangian descriptors ⋮ Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map ⋮ Visualizing the phase space of the HeI\(_2\) van der Waals complex using Lagrangian descriptors ⋮ Chaos in a generalized Euler’s three-body problem ⋮ Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials ⋮ THE STRUCTURE OF PHASE SPACE CLOSE TO FIXED POINTS IN A 4D SYMPLECTIC MAP

Cites Work

• Stickiness effects in chaos
• THE STRUCTURE OF INVARIANT TORI IN A 3D GALACTIC POTENTIAL
• THE STRUCTURE AND EVOLUTION OF CONFINED TORI NEAR A HAMILTONIAN HOPF BIFURCATION
• 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
• On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems

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