We investigate the nonlinear dynamics of a periodic chain of bistable elements consisting of
masses connected by elastic springs whose constraint arrangement gives rise to a large …

Consider an infinite chain of masses, each connected to its nearest neighbors by a
(nonlinear) spring. This is a Fermi–Pasta–Ulam–Tsingou lattice. We prove the existence of …

We consider atomic chains with nearest neighbour interactions and study periodic travelling
waves and homoclinic travelling waves, which are called wavetrains and solitons …

We consider an infinite chain of particles with nonlinear elastic and dissipative nearest
neighbors interactions. Assuming the existence of a traveling front between uniformly …

It is well established that the solitary waves of FPU-type chains converge in the high-energy
limit to traveling waves of the hard-sphere model. In this paper we establish improved …

We consider infinite Fermi–Pasta–Ulam-type atomic chains with general convex potentials
and study the existence of monotone fronts that are heteroclinic travelling waves connecting …

The existence of travelling heteroclinic waves for the sine-Gordon lattice is proved for a
linear interaction of neighbouring atoms. The asymptotic states are chosen such that the …

Recent asymptotic results in [12] provided detailed information on the shape of solitary high-
energy travelling waves in FPU atomic chains. In this note we use and extend the methods …

Traveling waves are studied in a spring slider-block model. We explicitly construct front
waves (kinks) for a piecewise-linear spinodal friction force. Pulse waves are obtained as the …

Abstract The Burridge–Knopoff model is a lattice differential equation describing a chain of
blocks connected by springs and pulled over a surface. This model was originally introduced …