2 citations · 2 across the 3 of their papers we have counts for
4 papers
Dynamics and Statistics of Weak Chaos in a 4--D Symplectic Map
Tassos Bountis, Konstantinos Kaloudis, Helen Christodoulidi
The important phenomenon of "stickiness" of chaotic orbits in low dimensional dynamical systems has been investigated for several decades, in view of its applications to various ar…
A new class of integrable Lotka-Volterra systems
H. Christodoulidi, A. N. W. Hone, T. E. Kouloukas
A parameter-dependent class of Hamiltonian (generalized) Lotka-Volterra systems is considered. We prove that this class contains Liouville integrable as well as superintegrable cas…
Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral
H. Christodoulidi, C. Efthymiopoulos
We investigate the long term evolution of trajectories in the Fermi-Pasta-Ulam (FPU) system, using as a probe the first non--trivial integral in the hierarchy of integrals of t…
Extensive packet excitations in FPU and Toda lattices
H. Christodoulidi
At low energies, the excitation of low frequency packets of normal modes in the Fermi-Pasta-Ulam (FPU) and in the Toda model leads to exponentially localized energy profiles which…