Chaos in Gravitational N-Body Systems

Spectra of stretching numbers and helicity angles in dynamical systems.- On the measure of the structure around the last KAM torus before and after its break-up.- Some comments on numerical methods for chaos problems.- Information entropy.- Chaos and elliptical galaxies.- Sinking, tidally stripped, galactic satellites.- On the satellite capture problem.- Chaotic transitions in resonant asteroidal dynamics.- Structure of the phase-space in the 3D problem of the 2/1 and the 3/2 Jupiter resonance.- Large scale chaos and marginal stability in the solar system.- Chaos in the solar system.- Geometrodynamics, chaos and statistical behaviour of N-body systems.- Geometrodynamics on Finsler spaces.- Stability of motion of N-body systems.- Microscopic dynamics of one-dimensional self-gravitational many-body systems.- Numerical exploration of the dynamics of self-adjoint S-type Riemann ellipsoids.- On the possibility of 2D dynamical chaos in astrophysical disks.- The observed turbulent spectrum of cloudy population of the Milky Way as an evidence of a weak Rossby wave turbulence.- On the accuracy in the numerical treatment of some chaotic problems.- The Liapunov exponent as a tool for exploring phase space.- Information entropy as a tool for searching periodicity.- Painleve analysis of simple Kaluza-Klein models.- Nonlinear analysis of a classical cosmological model.- Nontrivial dynamics and inflation.- A model distribution function for violently relaxed N-body systems.- Global dynamics of the logarithmic galactic potential by means of frequency map analysis.- Numerical stability of Osipkov-Merritt models.- Structure of galactic satellites.- Dynamical friction effects on sinking satellites.- Gravitational scattering experiments in infinite homogeneous N-body systems.- Dominant roles of binary and triple collisions in the free-fall three-body disruption.- Dynamical consequences of Uranus’ great collision.- Runaway growth of planetesimals.- Secondary resonances inside the 2/1 Jovian commensurability.- Applications of Fourier and wavelet analyses to the resonant asteroidal motion.- Spectra of winding numbers of chaotic asteroidal motion.