Entropy analysis of integer and fractional dynamical systems

被引:85
|
作者
Machado, J. A. Tenreiro [1 ]
机构
[1] Inst Engn Porto, Dept Elect Engn, P-4200072 Oporto, Portugal
关键词
Fractional calculus; Entropy; Dynamics; Complex systems; INFORMATION-THEORY; TSALLIS ENTROPY; STATISTICS; DIFFUSION;
D O I
10.1007/s11071-010-9724-4
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper investigates the adoption of entropy for analyzing the dynamics of a multiple independent particles system. Several entropy definitions and types of particle dynamics with integer and fractional behavior are studied. The results reveal the adequacy of the entropy concept in the analysis of complex dynamical systems.
引用
收藏
页码:371 / 378
页数:8
相关论文
共 50 条
  • [21] Scaled Entropy for Dynamical Systems
    Yun Zhao
    Yakov Pesin
    Journal of Statistical Physics, 2015, 158 : 447 - 475
  • [22] THE EXISTENCE OF ENTROPY FOR DYNAMICAL SYSTEMS
    KOZLOVSKII, VK
    SOVIET PHYSICS-SOLID STATE, 1960, 2 (05): : 841 - 846
  • [23] Logical entropy of dynamical systems
    Markechova, Dagmar
    Ebrahimzadeh, Abolfazl
    Giski, Zahra Eslami
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [24] Scaled Entropy for Dynamical Systems
    Zhao, Yun
    Pesin, Yakov
    JOURNAL OF STATISTICAL PHYSICS, 2015, 158 (02) : 447 - 475
  • [25] Fractional symbolic network entropy analysis for the fractional-order chaotic systems
    He, Shaobo
    Sun, Kehui
    Wu, Xianming
    PHYSICA SCRIPTA, 2020, 95 (03)
  • [26] Stabilizability of fractional dynamical systems
    Balachandran, Krishnan
    Govindaraj, Venkatesan
    Rodriguez-Germa, Luis
    Trujillo, Juan J.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) : 511 - 531
  • [27] ON THE CONTROLLABILITY OF FRACTIONAL DYNAMICAL SYSTEMS
    Balachandran, Krishnan
    Kokila, Jayakumar
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2012, 22 (03) : 523 - 531
  • [28] Stabilizability of fractional dynamical systems
    Krishnan Balachandran
    Venkatesan Govindaraj
    Luis Rodríguez-Germá
    Juan J. Trujillo
    Fractional Calculus and Applied Analysis, 2014, 17 : 511 - 531
  • [29] Discontinuous dynamical systems for fault detection. A unified approach including fractional and integer order dynamics
    Pisano, Alessandro
    Rapaic, Milan R.
    Usai, Elio
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 95 : 111 - 125
  • [30] Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis
    Iskakova, Kulpash
    Alam, Mohammad Mahtab
    Ahmad, Shabir
    Saifullah, Sayed
    Akguel, Ali
    Yilmaz, Guelnur
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 208 : 219 - 245