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Time--Evolving Statistics of Chaotic Orbits of Conservative Maps in the Context of the Central Limit Theorem
time Chaotic Orbits Conservative Maps Central Limit Theorem Statistics
2011/7/6
We study chaotic orbits of conservative low--dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of $N$ iterates in the large $N$ limit exhi...
On the bifurcation and continuation of periodic orbits in the three-body problem
three body problem (TBP) periodic orbits bifurcations
2010/12/28
We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits.
Completely integrable Hamiltonian systems with weak Lyapunov instability or all periodic orbits on non-compact level sets
Completely integrable Hamiltonian system weak Lyapunov instability or all periodic orbits non-compact level sets
2010/12/1
The aim of this paper is to introduce a class of Hamiltonian autonomous systems in dimension 4 which are completely integrable and their dynamics is described in all details.