MULTIPLICATIVE GROUP OF INVARIANCE OF PHASE-SPACE AND NATURAL TIME-SCALE FOR CHAOTIC ATTRACTORS

被引:3
|
作者
CHECHETKIN, VR
EZHOV, AA
KNIZHNIKOVA, LA
KUTVITSKII, VA
机构
[1] Troitsk Institute of Innovation and Thermonuclear Investigations - TRINITI, Troitsk
关键词
D O I
10.1016/0375-9601(92)90056-R
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A simple multiplicative group of invariance of the phase space of autonomous differential equations is related to the various reparametrizations of trajectories in phase space. We discuss some consequences of this invariance for chaotic attractors and random walks on them.
引用
收藏
页码:370 / 374
页数:5
相关论文
共 50 条
  • [21] Universality and time-scale invariance for the shape of planar Levy processes
    Randon-Furling, Julien
    PHYSICAL REVIEW E, 2014, 89 (05):
  • [22] Time-scale invariance of the creep function in living cells.
    Lenormand, G
    Millet, E
    Fabry, B
    Butler, JP
    Fredberg, JJ
    BIOPHYSICAL JOURNAL, 2005, 88 (01) : 494A - 494A
  • [23] Linearity and time-scale invariance of the creep function in living cells
    Lenormand, G
    Millet, E
    Fabry, B
    Butler, JP
    Fredberg, JJ
    JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2004, 1 (01) : 91 - 97
  • [24] How noise contributes to time-scale invariance of interval timing
    Oprisan, Sorinel A.
    Buhusi, Catalin V.
    PHYSICAL REVIEW E, 2013, 87 (05):
  • [25] Discrete phase-space mappings, tomographic condition and permutation invariance
    Munoz, C.
    Klimov, A. B.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (14) : 1 - 17
  • [26] TIME TRANSFORMATIONS IN EXTENDED PHASE-SPACE
    ZARE, K
    SZEBEHELY, V
    CELESTIAL MECHANICS, 1975, 11 (04): : 469 - 482
  • [27] Nonstationary statistical tests in time-scale space
    Hambaba, A
    2000 IEEE AEROSPACE CONFERENCE PROCEEDINGS, VOL 6, 2000, : 373 - 379
  • [28] PHASE-SPACE OF MECHANICAL SYSTEMS WITH A GAUGE GROUP
    PROKHOROV, LV
    SHABANOV, SV
    USPEKHI FIZICHESKIKH NAUK, 1991, 161 (02): : 13 - 75
  • [29] SOME REPRESENTATIONS OF THE POINCARE GROUP ON PHASE-SPACE
    ALI, ST
    JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (07) : 1385 - 1391
  • [30] Phase space geometry and chaotic attractors in dissipative Nambu mechanics
    Roupas, Zacharias
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (19)