Wave chaotic behaviour generated by linear systems

被引：0
|
作者：
V. A. Buts
A. G. Nerukh
N. N. Ruzhytska
D. A. Nerukh
机构：
[1] National Scientific Centre,Department of Chemistry
[2] Kharkov Institute of Physics and Technology,undefined
[3] Kharkov National University of RadioElectronics,undefined
[4] University of Cambridge,undefined
来源：
Optical and Quantum Electronics | 2008年 / 40卷
关键词：
Electromagnetic linear problems; Transients; Chaos;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown that regimes with dynamical chaos are inherent not only to nonlinear system but they can be generated by initially linear systems and the requirements for chaotic dynamics and characteristics need further elaboration. Three simplest physical models are considered as examples. In the first, dynamic chaos in the interaction of three linear oscillators is investigated. Analogous process is shown in the second model of electromagnetic wave scattering in a double periodical inhomogeneous medium occupying half-space. The third model is a linear parametric problem for the electromagnetic field in homogeneous dielectric medium which permittivity is modulated in time.
引用
收藏
页码：587 / 601
页数：14
相关论文
共 50 条
  • [1] Wave chaotic behaviour generated by linear systems
    Buts, V. A.
    Nerukh, A. G.
    Ruzhytska, N. N.
    Nerukh, D. A.
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2008, 40 (08) : 587 - 601
  • [2] Frequency warping and chaotic behaviour generated by spice
    Persic, B
    Basaric, N
    [J]. INFORMACIJE MIDEM-JOURNAL OF MICROELECTRONICS ELECTRONIC COMPONENTS AND MATERIALS, 2001, 31 (01): : 26 - 32
  • [3] On the Chaotic Behaviour of Discontinuous Systems
    Battelli, Flaviano
    Feckan, Michal
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2011, 23 (03) : 495 - 540
  • [4] On the Chaotic Behaviour of Discontinuous Systems
    Flaviano Battelli
    Michal Fečkan
    [J]. Journal of Dynamics and Differential Equations, 2011, 23 : 495 - 540
  • [5] Chaotic Behaviour on Invariant Sets of Linear Operators
    M. Murillo-Arcila
    A. Peris
    [J]. Integral Equations and Operator Theory, 2015, 81 : 483 - 497
  • [6] Chaotic Behaviour on Invariant Sets of Linear Operators
    Murillo-Arcila, M.
    Peris, A.
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 81 (04) : 483 - 497
  • [7] Ferroresonance in power systems: chaotic behaviour
    [J]. Araujo, A.E.A., 1600, (140):
  • [8] Control of chaotic behaviour in production systems
    Scholz-Reiter, B.
    Kleiner, M.
    Nathansen, K.
    Proske, G.
    [J]. Systems Analysis Modelling Simulation, 1999, 36 (01): : 1 - 18
  • [9] ELEMENTS OF CHAOTIC DYNAMICS IN LINEAR SYSTEMS
    Buts, V. A.
    Nerukh, A. G.
    [J]. SIXTH INT KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES/WORKSHOP ON TERAHERTZ TECHNOLOGIES, VOLS 1 AND 2, 2007, : 363 - +
  • [10] Homoclinic trajectories and chaotic behaviour in a piecewise linear oscillator
    Pokrovskii, Alexei
    Rasskazov, Oleg
    Visetti, Daniela
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2007, 8 (04): : 943 - 970
12345