SOME FUNDAMENTAL SITUATIONS CONCERNING NONLINEAR AND CHAOTIC DYNAMIC-SYSTEMS

被引:0
|
作者
MIRA, C
机构
[1] INSA, Toulouse, Fr, INSA, Toulouse, Fr
关键词
CONTROL SYSTEMS - ELECTRIC RECTIFIERS; SOLID STATE - ELECTRONIC CIRCUITS - MATHEMATICAL TRANSFORMATIONS - THYRISTORS;
D O I
暂无
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
This paper considers some characteristic situations in the phase space and in the parameter space associated with a dynamic system, the behavior of which is related to complex nonlinear phenomena. A broad outline of these situations is presented via the basic mathematical tool of maps. Examples related to problems of control systems, and electronic ones, illustrate a part of theoretical points.
引用
收藏
页码:217 / 238
页数:22
相关论文
共 50 条
  • [41] APPLICATION OF ALGORITHMS FOR THE CALCULATION OF THE DIMENSION OF CHAOTIC DYNAMIC-SYSTEMS
    SAWLEY, ML
    SIMM, W
    SKIFF, F
    POCHELON, A
    HELVETICA PHYSICA ACTA, 1986, 59 (6-7): : 1070 - 1073
  • [42] ON SOME PROPERTIES OF TRAJECTORIES OF DYNAMIC-SYSTEMS
    DZYUBA, SM
    DOKLADY AKADEMII NAUK SSSR, 1991, 319 (01): : 88 - 90
  • [43] THE DIMENSION SPECTRUM OF SOME DYNAMIC-SYSTEMS
    COLLET, P
    LEBOWITZ, JL
    PORZIO, A
    JOURNAL OF STATISTICAL PHYSICS, 1987, 47 (5-6) : 609 - 644
  • [44] NEW RESULTS CONCERNING SMALL PERTURBATIONS OF DYNAMIC-SYSTEMS
    DOSS, H
    STROOCK, DW
    JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 101 (02) : 370 - 391
  • [45] COMPLETE IDEAL OBSERVABILITY OF SOME CLASSES OF DYNAMIC-SYSTEMS WITH UNKNOWN NONLINEAR INPUTS
    LEBEDEV, AL
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1990, 143 : 652 - 658
  • [46] THE SENSITIVITY ANALYSIS OF STOCHASTIC NONLINEAR DYNAMIC-SYSTEMS
    SOCHA, L
    JOURNAL OF SOUND AND VIBRATION, 1986, 110 (02) : 271 - 288
  • [47] CANONICAL LINEAR REPRESENTATION OF NONLINEAR DYNAMIC-SYSTEMS
    AUBIN, JP
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 285 (05): : 411 - 414
  • [48] TEXTURES, GAME LIFE AND NONLINEAR DYNAMIC-SYSTEMS
    YAROSLAVSKY, LP
    SIVERGUINA, IF
    PROBLEMS OF CONTROL AND INFORMATION THEORY-PROBLEMY UPRAVLENIYA I TEORII INFORMATSII, 1990, 19 (04): : 349 - 372
  • [49] CHARACTERIZATION OF FAT FRACTALS IN NONLINEAR DYNAMIC-SYSTEMS
    EYKHOLT, R
    UMBERGER, DK
    PHYSICAL REVIEW LETTERS, 1986, 57 (19) : 2333 - 2336
  • [50] ON THE STABILIZATION AND OBSERVATION OF NONLINEAR UNCERTAIN DYNAMIC-SYSTEMS
    QU, ZH
    DORSEY, J
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) : 1342 - 1342