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Publications Influence

Simple three-dimensional periodic orbits in a galactic-type potential

- G. Contopoulos, P. Magnenat
- Mathematics
- 1 December 1985

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. We… Expand

68 4

Inner Lindblad resonance in galaxies: Nonlinear theory. II - Bars

- G. Contopoulos, C. Mertzanides
- Physics
- 1 November 1975

50 4

Invariant spectra of orbits in dynamical systems

- N. Voglis, G. Contopoulos
- Physics
- 21 July 1994

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 orbits… Expand

89 3

Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation

- C. Efthymiopoulos, G. Contopoulos, A. Tzemos
- Physics
- 28 March 2017

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 2D… Expand

7 3- PDF

On the number of isolating integrals in Hamiltonian systems

- G. Contopoulos, L. Galgani, A. Giorgilli
- Physics
- 1 September 1978

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"), and… Expand

92 2

Nodal points and the transition from ordered to chaotic Bohmian trajectories

- C. Efthymiopoulos, C. Kalapotharakos, G. Contopoulos
- Physics
- 13 September 2007

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 with… Expand

20 2- PDF

Escapes and Recurrence in a Simple Hamiltonian System

- G. Contopoulos, K. Efstathiou
- Mathematics
- 1 February 2004

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 escape… Expand

19 2- PDF

Spectra of stretching numbers and helicity angles in dynamical systems

- G. Contopoulos, N. Voglis
- Mathematics
- 1 March 1996

We define a “stretching number” (or “Lyapunov characteristic number for one period”) (or “stretching number”) a = In % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn%… Expand

43 2

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

55 2