We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Melnikov's Criteria and Chaos Analysis in the Nonlinear Schrödinger Equation with Kerr Law Nonlinearity.
- Authors
Jiuli Yin; Liuwei Zhao; Lixin Tian
- Abstract
The dynamics of the nonlinear Schördinger equation with Kerr law nonlinearity with two perturbation terms are investigated. By Using Melnikov method, the threshold values of chaotic motion under periodic perturbation are given .Moreover we also study the effects of the parameters of system on dynamical behaviors by using numerical simulation. The numerical simulations, including bifurcation diagram of fixed points, chaos threshold diagram of system in three-dimensional space, maximum Lyapunov exponent, and phase portraits, are also plotted to illustrate theoretical analysis and to expose the complex dynamical behaviors. In particular, we observe that the system can leave chaotic region to periodic motion by adjusting controller e, amplitude d 1, and frequency ω2of external forcing which can be considered a control strategy, and when the frequencies y ω2 and ω1 approach the maximum frequency of disturbance, the system turmoil intensifies and control intensity increases.
- Subjects
NONLINEAR Schrodinger equation; CHAOS theory; NONLINEAR theories; PERTURBATION theory; LYAPUNOV exponents; FIXED point theory; COMPUTER simulation
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/650781