Characterization of Rossler and Duffing maps with Renyi entropy and generalized complexity measures

被引：8
|
作者：
Godo, B. [1 ]
Nagy, A. [1 ]
机构：
[1] Univ Debrecen, Dept Theoret Phys, H-4012 Debrecen, Hungary
来源：
IC-MSQUARE 2012: INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING IN PHYSICAL SCIENCES | 2013年 / 410卷
关键词：
D O I：
10.1088/1742-6596/410/1/012090
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Renyi entropy and generalized complexity measures are used to describe the chaotic behaviour of dynamical systems. These measures are found to be sensitive to the fine details of the Rossler and the Duffing maps. They are good descriptors of chaotic behaviour. Periodic windows and the fractal character of the chaotic dynamics are nicely detected.
引用
下载
收藏
页数：6
相关论文
共 50 条
  • [41] Generalized relative entropy: New look at Rényi entropy and its exploration from complexity measures to sparsity measures with applications in machine condition monitoring
    Wang, Dong (dongwang4-c@sjtu.edu.cn), 2025, 223
  • [42] On Generalized Measures of Entropy for Fuzzy Sets
    Arora, Priya
    Tomar, V. P.
    PROCEEDINGS OF ICETIT 2019: EMERGING TRENDS IN INFORMATION TECHNOLOGY, 2020, 605 : 385 - 395
  • [43] Generalized measures of fuzzy entropy and their properties
    Deshmukh, K.C.
    Khot, P.G.
    Nikhil
    World Academy of Science, Engineering and Technology, 2011, 56 : 994 - 998
  • [44] Cramer-Rao and moment-entropy inequalities for Renyi entropy and generalized fisher information
    Lutwak, E
    Yang, D
    Zhang, GY
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (02) : 473 - 478
  • [45] COMPARISON OF COMPLEXITY-MEASURES FOR CHOROPLETH MAPS
    BREGT, AK
    WOPEREIS, MCS
    CARTOGRAPHIC JOURNAL, 1990, 27 (02): : 85 - 91
  • [46] Renyi entropy and complexity measure for skew-gaussian distributions and related families
    Contreras-Reyes, Javier E.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 433 : 84 - 91
  • [47] Entropy in Natural Time and the Associated Complexity Measures
    Sarlis, Nicholas V.
    ENTROPY, 2017, 19 (04):
  • [48] Measures of entropy and complexity in altered states of consciousness
    D. M. Mateos
    R. Guevara Erra
    R. Wennberg
    J. L. Perez Velazquez
    Cognitive Neurodynamics, 2018, 12 : 73 - 84
  • [49] ON MAXIMUM-ENTROPY COMPLEXITY-MEASURES
    KAPUR, JN
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1983, 9 (02) : 95 - 102
  • [50] Measures of entropy and complexity in altered states of consciousness
    Mateos, D. M.
    Erra, R. Guevara
    Wennberg, R.
    Velazquez, J. L. Perez
    COGNITIVE NEURODYNAMICS, 2018, 12 (01) : 73 - 84
12345