We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme G. trapped ion enables strongly quantum dynamics with minimal dissipation. This should permit an experimental test of one of the quantum signatures of chaos;...

Linear and nonlinear refractive index, Abbe number, electronic energy gap and oscillator strength are reported for a new series of (Mg, Ba)F2-based fluorophosphates glasses (MBBA system) doped with rare earth dopants (Er , Nd) in the concentration range of 6.67x10 2.86x10 (ions/cm) and 2.5x10 1.25x10 (ions/cm), respectively. The linear refractive index is found to increase with increasing dopan...

We applied a new approach to obtain natural frequency of the nonlinear oscillator with discontinuity. He’s Hamiltonian approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn u . We employed this method for higherorder approximate solution of the nonlinear oscillator equation. This property is used to obtain approximate frequency-...

A type of nonlinearity in vibrational engineering systems emerges when the restoring force is a nonlinear function of displacement. The derivative of this function is known as stiffness. If the stiffness increases by increasing the value of displacement from the equilibrium position, then the system is known as hardening type oscillator and if the stiffness decreases by increasing the value of ...

We examine some new DNLS-like equations that arise when considering strongly-coupled electron-vibration systems, where the local oscillator potential is anharmonic. In particular, we focus on a single, rather general nonlinear vibrational impurity and determine its bound state(s) and its dynamical selftrapping properties. email: [email protected] PACS number(s): 71.55.-i