Driven power-law oscillator

Quantum Recurrences in Driven Power-law Potentials

The recurrence phenomena of an initially well localized wave packet are studied in periodically driven power-law potentials. For our general study we divide the potentials in two kinds, namely tightly binding and loosely binding potentials. In the presence of an external periodically modulating force, these potentials may exhibit classical and quantum chaos. The dynamics of a quantum wave packe...

Unsteady gravity-driven slender rivulets of a power-law fluid

Unsteady gravity-driven flow of a thin slender rivulet of a non-Newtonian power-law fluid on a plane inclined at an angle α to the horizontal is considered. Unsteady similarity solutions are obtained for both converging sessile rivulets (when 0 < α < π/2) in the case x < 0 with t < 0, and diverging pendent rivulets (when π/2 < α < π) in the case x > 0 with t > 0, where x denotes a coordinate me...

Disorder-driven transition in a chain with power-law hopping

Simplest driven conservative chaotic oscillator

Sinusoidally driven oscillator equations with a power-law nonlinearity are investigated computationally to determine the driving frequency which produces the “most chaos”, i.e., the maximized largest Lyapunov exponent. It is argued that the “simplest” such driven chaotic oscillator has a cubic nonlinearity x3.  2001 Elsevier Science B.V. All rights reserved. PACS: 05.45.-a; 02.30.Hq

Driven, autoresonant three-oscillator interactions.

An efficient control scheme of resonant three-oscillator interactions using an external chirped frequency drive is suggested. The approach is based on formation of a double phase-locked (autoresonant) state in the system, as the driving oscillation passes linear resonance with one of the interacting oscillators. When doubly phase locked, the amplitudes of the oscillators increase with time in p...