76 research outputs found
Propagation, breathing and transition of matter-wave packet trains
We find a set of new exact solutions of a quantum harmonic oscillator, which
describes some wave-packet trains with average energy being proportional to
both the quantum level and classical energy of the oscillator. Center of the
wave-packet trains may oscillate like a classical harmonic oscillator of
frequency . Width and highness of the trains may change simultaneously
with frequency as an array of breathers. Under some perturbations
the wave-packet trains could transit between the states of different quantum
numbers. We demonstrate analytically and numerically that the wave-packet
trains can be strictly fitted to the matter-wave soliton trains observed by
Strecher et al. and reported in Nature 417, 150(2002). When the wave-packets
breathe with greater amplitudes, they show periodic collapse and revival of the
matter-wave.Comment: 15 pages, 7 figure
Constructing multiwing attractors from a robust chaotic system with non-hyperbolic equilibrium points
We investigate a three-dimensional (3D) robust chaotic system which only holds two nonhyperbolic equilibrium points, and finds the complex dynamical behaviour of position modulation beyond amplitude modulation. To extend the application of this chaotic system, we initiate
a novel methodology to construct multiwing chaotic attractors by modifying the position and amplitude parameters. Moreover, the signal amplitude, range and distance of the generated multiwings can be easily adjusted by using the control parameters, which enable us to enhance the potential application in chaotic cryptography and secure communication. The effectiveness of the theoretical analyses is confirmed by numerical simulations. Particularly, the multiwing
attractor is physically realized by using DSP (digital signal processor) chip
- …