Helen Christodoulidi

Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics

We introduce and numerically study a long-range-interaction generalization of the one-dimensional Fermi-Pasta-Ulam (FPU)

Application of the GALI method to localization dynamics in nonlinear systems

\beta-

Dynamics and statistics of the Fermi–Pasta–Ulam β-model with different ranges of particle interactions

model. The standard quartic interaction is generalized through a coupling constant that decays as

The effect of long–range interactions on the dynamics and statistics of 1D Hamiltonian lattices with on–site potential

1/r^\alpha

NERVE PULSE PROPAGATION IN A CHAIN OF FHN NONLINEAR OSCILLATORS

(

Energy localization on q-tori, long-term stability, and the interpretation of Fermi-Pasta-Ulam recurrences

\alpha \ge 0

LOW-DIMENSIONAL QUASIPERIODIC MOTION IN HAMILTONIAN SYSTEMS

)(with strength characterized by

Numerical integration of variational equations for Hamiltonian systems with long range interactions

b>0

Phase Transitions in Models of Bird Flocking

). In the

Chaotic behavior of the Fermi--Pasta--Ulam

\alpha \to\infty