We analyze a system consisting of an oscillator coupled to a field. With the field traced out as an environment , the oscillator loses coherence on a very short decoherence timescale; but, on a much longer relaxation timescale, predictably evolves into a unique, pure (ground) state. This example of re-coherence has interesting implications both for the interpretation of quantum theory and for t...

Large scale simulations of electrically coupled neuronal oscillators often employ the phase coupled oscillator paradigm to understand and predict network behavior. We study the nature of the interaction between such coupled oscillators using weakly coupled oscillator theory. By employing piecewise linear approximations for phase response curves and voltage time courses and parametrizing their s...

Abstract The dynamics of coupled nonlinear oscillator systems is often described by the classical discrete Schrodinger equation (DNLSE). In its simplest version, DNLSE made up two terms—a nearest-neighbor hopping term and an on-site cubic term. Each terms preceded a coefficient that can take on either positive or negative sign. versions derived from corresponding equivalent Hamiltonian. result ...

The Kα resonance complexes in oxygen ions O I O VI are theoretically computed and resonance oscillator strengths and wavelengths are presented. The highly resolved photoionization cross sections, with relativistic fine structure, are computed in the coupled channel approximation using the Breit-Pauli R-matrix method. A number of strong Kα resonances are found to be appreciable, with resonance o...