Adiabatic Invariant for Dynamic Systems on Time Scale

被引：0
|
作者：
Song C. [1 ]
机构：
[1] School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou
来源：
Transactions of Nanjing University of Aeronautics and Astronautics | 2019年 / 36卷 / 04期
关键词：
Adiabatic invariant; Dynamic system; Perturbation to Noether symmetry; Time scale;
D O I：
10.16356/j.1005-1120.2019.04.015
中图分类号：
学科分类号：
摘要：
Perturbation to Noether symmetry and adiabatic invariants for Birkhoffian system, Hamiltonian system and Lagrangian system with delta derivative are investigated, respectively. Firstly, the definition and some related properties of time scale calculus are listed simply as preliminaries. Secondly, the Birkhoffian system with delta derivative is studied. Based on the differential equation of motion as well as Noether symmetry and conserved quantity, perturbation to Noether symmetry and adiabatic invariant are investigated. Thirdly, adiabatic invariants for the Hamiltonian system and the Lagrangian system are presented through some transformations. And finally, an example is given to illustrate the methods and results. © 2019, Editorial Department of Transactions of NUAA. All right reserved.
引用
收藏
页码：680 / 685
页数：5
相关论文
共 50 条
  • [21] Simulation of discrete linear time-invariant fuzzy dynamic systems
    Puig, Vicenc
    Saludes, Jordi
    Quevedo, Joseba
    FUZZY SETS AND SYSTEMS, 2008, 159 (07) : 787 - 803
  • [22] Dynamic Equilibrium State Controllability of Linear Time-invariant Systems
    Qiu, Dehui
    Wang, Qinglin
    Zhou, You
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 3430 - 3434
  • [23] A natural transfer function space for linear discrete time-invariant and scale-invariant systems
    Alpay, Daniel
    Mboup, Mamadou
    NDS: 2009 INTERNATIONAL WORKSHOP ON MULTIDIMENSIONAL (ND) SYSTEMS, 2009, : 54 - +
  • [24] A Note on Adiabatic Time Evolution and Quasi-Static Processes in Translation-Invariant Quantum Systems
    Vojkan Jakšić
    Claude-Alain Pillet
    Clément Tauber
    Annales Henri Poincaré, 2024, 25 : 751 - 771
  • [25] A Note on Adiabatic Time Evolution and Quasi-Static Processes in Translation-Invariant Quantum Systems
    Jaksic, Vojkan
    Pillet, Claude-Alain
    Tauber, Clement
    ANNALES HENRI POINCARE, 2024, 25 (01): : 751 - 771
  • [26] Perturbation to symmetries and adiabatic invariant for systems of generalized classical mechanics
    Zhang, Y
    Mei, FX
    ACTA PHYSICA SINICA, 2003, 52 (10) : 2368 - 2372
  • [27] ON THE ACCURACY OF PERSISTENCE OF ADIABATIC INVARIANT IN SINGLE-FREQUENCY SYSTEMS
    Neishtadt, A. I.
    REGULAR & CHAOTIC DYNAMICS, 2000, 5 (02): : 213 - 218
  • [28] Perturbation to symmetries and adiabatic invariant of Birkhoffian systems with unilateral constraints
    Zhang, Y
    ACTA PHYSICA SINICA, 2002, 51 (08) : 1666 - 1670
  • [29] Application of discrete-time scale invariant systems in video traffic modeling
    Narasimha, R
    Rao, RM
    MULTIMEDIA SYSTEMS AND APPLICATIONS V, 2002, 4861 : 174 - 182
  • [30] Kernel approach to discrete-time linear scale-invariant systems
    Lee, S
    Rao, R
    2001 IEEE WORKSHOP ON STATISTICAL SIGNAL PROCESSING PROCEEDINGS, 2001, : 62 - 65
12345