Bountis, Anastasios(Nonlinear Phenomena in Complex Systems, 2019)
In this paper, I review a number of results that my co-workers and I have obtained in
the field of 1–Dimensional (1D) Hamiltonian lattices. This field has grown in recent years,
due to its importance in revealing many ...
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator
driven by a periodic force under hysteretic damping, whose linear version was originally
proposed and analyzed by Bishop in [1]. We ...
We investigate the local and global dynamics of two 1-Dimensional (1D) Hamiltonian lattices
whose inter-particle forces are derived from non-analytic potentials. In particular, we study the
dynamics of a model governed ...
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