SCALING FOR SMALL RANDOM PERTURBATIONS OF GOLDEN CRITICAL CIRCLE MAPS

被引:16
|
作者
HAMM, A
GRAHAM, R
机构
[1] Fachbereich Physik, Universität Gesamthochschule
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 10期
关键词
D O I
10.1103/PhysRevA.46.6323
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The effect of external random noise on the transition to chaos at critical circle maps with golden-mean winding number is studied by three different methods with particular stress on the method of quasipotential scaling. A comparison of the various methods serves to explain why former computations of noise-scaling factors were valid only for Gaussian noise and shows how to deal with a larger class of noise distributions.
引用
收藏
页码:6323 / 6333
页数:11
相关论文
共 50 条
  • [41] THE RIGIDITY PROBLEM FOR ANALYTIC CRITICAL CIRCLE MAPS
    Khmelev, D.
    Yampolsky, M.
    [J]. MOSCOW MATHEMATICAL JOURNAL, 2006, 6 (02) : 317 - 351
  • [42] Complex bounds for renormalization of critical circle maps
    Yampolsky, M
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1999, 19 : 227 - 257
  • [43] Note on Lyapunov Exponent for Critical Circle Maps
    Ji, Haoyang
    [J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2022, 53 (04): : 1305 - 1315
  • [44] The quasi-stationary distribution for small random perturbations of certain one-dimensional maps
    Ramanan, K
    Zeitouni, O
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 84 (01) : 25 - 51
  • [45] A coupling approach to random circle maps expanding on the average
    Stenlund, Mikko
    Sulku, Henri
    [J]. STOCHASTICS AND DYNAMICS, 2014, 14 (04)
  • [46] Scaling limits for the peeling process on random maps
    Curien, Nicolas
    Le Gall, Jean-Francois
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2017, 53 (01): : 322 - 357
  • [47] Large random planar maps and their scaling limits
    Le Gall, Jean-Francois
    [J]. EUROPEAN CONGRESS OF MATHEMATICS 2008, 2010, : 253 - 276
  • [48] Lyapunov Exponents for Random Perturbations of Coupled Standard Maps
    Blumenthal, Alex
    Xue, Jinxin
    Yang, Yun
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 389 (01) : 121 - 151
  • [49] Open circle maps: small hole asymptotics
    Dettmann, Carl
    [J]. NONLINEARITY, 2013, 26 (01) : 307 - 317
  • [50] Lyapunov Exponents for Random Perturbations of Coupled Standard Maps
    Alex Blumenthal
    Jinxin Xue
    Yun Yang
    [J]. Communications in Mathematical Physics, 2022, 389 : 121 - 151