Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems

被引：7
|
作者：
Buryak, AV [1 ]
Towers, I
Trillo, S
机构：
[1] Australian Def Force Acad, Sch Math & Stat, Canberra, ACT 2600, Australia
[2] Australian Natl Univ, RSPHysSE, Ctr Opt Sci, Canberra, ACT 0200, Australia
[3] Univ Ferrara, Dept Engn, I-44100 Ferrara, Italy
来源：
PHYSICS LETTERS A | 2000年 / 267卷 / 5-6期
基金：
澳大利亚研究理事会;
关键词：
optical chaos; power clamping; multistability;
D O I：
10.1016/S0375-9601(00)00124-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the spatial field dynamics in nonlinear quadratic media with a periodic Bragg grating. Two different cascading limits lead to the possibility of strong multistability and frustrated transmission which are described analytically and numerically. Tuning the nonlinear wavevector mismatch closer to resonance we observe the transition to a chaotic regime. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：319 / 325
页数：7
相关论文
共 50 条
  • [31] Adaptive State Observers for Incrementally Quadratic Nonlinear Systems with Application to Chaos Synchronization
    Hongzhi Zhang
    Wei Zhang
    Younan Zhao
    Mingming Ji
    Lixin Huang
    Circuits, Systems, and Signal Processing, 2020, 39 : 1290 - 1306
  • [32] HOMOCLINIC MANIFOLDS AND NUMERICAL CHAOS IN THE NONLINEAR SCHRODINGER-EQUATION
    ABLOWITZ, MJ
    SCHOBER, CM
    MATHEMATICS AND COMPUTERS IN SIMULATION, 1994, 37 (4-5) : 249 - 264
  • [33] Nonlinear Feedback Control of Chaos in Synchronous Reluctance Motor Drive Systems
    Babaei, Mojtaba
    Nazarzadeh, Jalal
    Faiz, Jawad
    2008 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY, VOLS 1-5, 2008, : 1134 - +
  • [34] Generating chaos in continuous-time systems using nonlinear feedback
    Zhong, GQ
    Kwok, HS
    Man, KF
    Tang, WKS
    IECON-2002: PROCEEDINGS OF THE 2002 28TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOLS 1-4, 2002, : 1772 - 1777
  • [35] Chaos control in uncertain dynamical systems using nonlinear delayed feedback
    Salarieh, Hassan
    Alasty, Aria
    CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 67 - 71
  • [36] An adaptive feedback control for chaos synchronization of nonlinear systems with different order
    Lazzouni, Sihem A.
    Bowong, Samuel
    Kakmeni, F. M. Moukam
    Cherki, Brahim
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (04) : 568 - 583
  • [37] Feedback control of bursting and multistability in chaotic systems
    Geltrude, Andrea
    Al Naimee, Kais
    Euzzor, Stefano
    Meucci, Riccardo
    Arecchi, Fortunato Tito
    Goswami, Binoy Krishna
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (07) : 3031 - 3039
  • [38] HOMOCLINIC CHAOS IN SYSTEMS PERTURBED BY WEAK LANGEVIN NOISE
    BULSARA, AR
    SCHIEVE, WC
    JACOBS, EW
    PHYSICAL REVIEW A, 1990, 41 (02): : 668 - 681
  • [39] State Feedback Design for Input-Saturating Nonlinear Quadratic Systems
    Valmorbida, Giorgio
    Tarbouriech, Sophie
    Garcia, Germain
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 1231 - 1236
  • [40] QUADRATIC AND HIGHER-ORDER FEEDBACK GAINS FOR CONTROL OF NONLINEAR SYSTEMS
    JAZWINSK.AH
    AIAA JOURNAL, 1965, 3 (05) : 925 - &
12345