• Publications
  • Influence
Orbits in barred galaxies
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Simple three-dimensional periodic orbits in a galactic-type potential
We study the families of simple periodic orbits in a three-dimensional system that represents the inner parts of a perturbed triaxial galaxy. The perturbations depend on two control parameters. WeExpand
  • 68
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Invariant spectra of orbits in dynamical systems
We show that in deterministic dynamical systems any orbit is associated with an invariant spectrum of stretching numbers, i.e. numbers expressing the logarithmic divergences of neighbouring orbitsExpand
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Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation
We discuss the main mechanisms generating chaotic behavior of the quantum trajectories in the de Broglie - Bohm picture of quantum mechanics, in systems of two and three degrees of freedom. In the 2DExpand
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On the number of isolating integrals in Hamiltonian systems
In a Hamiltonian system of three degrees of freedom we have found a large stochastic region (the "big sea"), some other stochastic regions, apparently separated from the above ("small seas"), andExpand
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Nodal points and the transition from ordered to chaotic Bohmian trajectories
We explore the transition from order to chaos for the Bohmian trajectories of a simple quantum system corresponding to the superposition of three stationary states in a 2D harmonic well withExpand
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Escapes and Recurrence in a Simple Hamiltonian System
Many physical systems can be modeled as scattering problems. For example, the motions of stars escaping from a galaxy can be described using a potential with two or more escape routes. Each escapeExpand
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Spectra of stretching numbers and helicity angles in dynamical systems
We define a “stretching number” (or “Lyapunov characteristic number for one period”) (or “stretching number”) a = In % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn%Expand
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Periodic orbits and chaos around two black holes
  • G. Contopoulos
  • Physics
  • Proceedings of the Royal Society of London…
  • 8 October 1990
We calculate orbits of photons and particles in the relativistic problem of two extreme Reissner-Nordström black holes (fixed). In the case of photons there are three types of non-periodic orbits,Expand
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