Nonlinear dispersive wave equations provide excellent examples of infinite dimensional
dynamical systems which possess diverse and fascinating phenomena including solitary …

This work establishes a new tool for proving the existence of multiple-pulse homoclinic orbits
in perturbed Hamiltonian systems and general multidimensional singular-perturbation …

We present an extension of the Melnikov method which can be used for ascertaining the
existence of homoclinic and heteroclinic orbits with many pulses in a class of near …

The stability and Shilnikov-type multi-pulse jumping chaotic vibrations are investigated for a
nonlinear rotor-active magnetic bearing (AMB) system with the time varying stiffness and 16 …

We establish the existence of several classes of multi-bump orbits homoclinic to resonance
bands for completely-integrable Hamiltonian systems subject to small-amplitude …

The multi-pulse homoclinic orbits and chaotic dynamics of an equivalent circular cylindrical
shell for the circular mesh antenna are investigated in the case of 1: 2 internal resonance in …

The persistence of homoclinic orbits for certain perturbations of the integrable nonlinear
Schrijdinger equation under even periodic boundary conditions is established. More …

This paper presents a new unified theory of orbits homoclinic to resonance bands in a class
of near-integrable dissipative systems. It describes three sets of conditions, each of which …

This is a survey on the recent theory of chaos in partial differential equations. Subjects:
Chaotic Dynamics (nlin. CD); Analysis of PDEs (math. AP); Dynamical Systems (math. DS); …

This paper investigates the multi-pulse global bifurcations and chaotic dynamics of the high-
dimension nonlinear system for a laminated composite piezoelectric rectangular plate by …