Dissertation > Excellent graduate degree dissertation topics show

Perturbation to Symmetry and Adiabatic Invariants for Discrete Constrained Mechanical Systems

Author: ZhangKeJun
Tutor: FangJianHui
School: China University of Petroleum
Course: Physics
Keywords: The discrete binding on school system Symmetry Perturbation Adiabatic invariant
CLC: O316
Type: Master's thesis
Year: 2011
Downloads: 9
Quote: 0
Read: Download Dissertation

Abstract


Symmetry is a very important and widespread nature of mathematics, mechanics and physics . Symmetry tiny change in the role of small perturbations that symmetry perturbation . Perturbation to symmetries and adiabatic invariants is very important in the mechanical system the role and is widely used in the actual mechanics problems . symmetry in continuum mechanics perturbation and adiabatic invariants of the basis of the theory , the use of a variable time step difference discrete variational method to study discrete mechanics the system symmetry of perturbation and adiabatic invariants given discrete higher order adiabatic invariant concept , study general discrete complete system Noether symmetry and Mei symmetry and Noether-Mei United symmetry perturbation and adiabatic invariants establish a full system of general discrete Noether symmetry and Mei symmetry and Noether-Mei joint the symmetry perturbation criterion given Noether symmetry of the system , Mei symmetry and Noether-Mei United symmetry perturbation result the discrete adiabatic invariant . Secondly, the research phase space Noether symmetry of discrete mechanical systems , Mei symmetry and United Noether-Mei symmetry perturbation and adiabatic invariants . Noether symmetries of discrete mechanical system in phase space Mei symmetry and Noether-Mei joint symmetry perturbation criterion given Noether symmetry of the system , Mei symmetry and Noether-Mei joint symmetry camera automatically lead to discrete adiabatic invariant . then , the study of discrete generalized Birkhoff system symmetry and exact invariant and system symmetry criterion equation , as well as the conditions and the form of the conserved quantity exists Noether symmetry of the research system , Mei Symmetry and Noether-Mei joint symmetry perturbation and adiabatic invariants . Noether symmetry of the system , the criterion of Mei symmetry and Noether-Mei joint symmetry perturbation given Noether symmetry of the system , Mei symmetry and Noether-Mei joint symmetry perturbation lead to discrete adiabatic invariants . finally make a summary of this study , on the discrete binding on the symmetry of the system of perturbation theory prospected .

Related Dissertations

  1. Study of Target Simulation and Signal Processing Algorithm for Skywave Over-The-Horizon Radar,TN958.93
  2. Study of Data Reduction Technique Based on Manifold Learning,TP311.13
  3. Femtosecond laser and Si \u003csub\u003e 3 \u003c/ sub\u003e N \u003csub\u003e 4 \u003c/ sub\u003e crystal interaction theoretical study,O734
  4. Frobenius nonlinear evolution equations integrable solutions and the expansion of integrable systems,O175.5
  5. Charmed meson decays and CP violation phenomenological study,O572.33
  6. Research and Implemention of Information Security Encryption System Based on the RSA,TP309.7
  7. The Design of SIW Resonate Cavity and the Apply of Microwave Material’s Measure,TM931
  8. Pedestrian Detection Based on infrared video,TP391.41
  9. Some low- symmetry group calculation,O152.1
  10. Based omnidirectional lower limbs rehabilitation training robot gait detection and analysis,TP242
  11. Four leaf micro- gyroscope design and processing technology research,V241.5
  12. Research on Concept, Function and Application of Mechanical Structure Symmetry-Breaking,TH122
  13. The Qualitative Analysis of a Fast-Slow Predator-Prey System,O175
  14. Road traffic sign detection and recognition technology,U495
  15. Two Novel Mutations of DSRAD Gene in Chinese Families with Dyschromatosis Symmetrica Hereditaria,R758.5
  16. The Study on the Correlation between the Changes of Interdialytic Ambulatory Blood Pressure and Clinical Prognosis in Maintenance Hemodialysis Patients,R692.5
  17. Numerical Analysis of the Bifurcation Problem of Nano-scale Thin Metal Film Under Tension,O484.2
  18. Coupling of Temporal Symmetry and Spatial Symmetry of Patterns in Dielectric Barrier Discharge,O461
  19. Approximate Analytical Solutions for Solving Linear and Nonlinear Second-Order Initial and Boundary Value Problems,O241.8
  20. Overview of the vertex algebra and mirror symmetry,O153
  21. The Existence of Solution for Three Semilinear Elliptic Equations without Compactness,O175.25

CLC: > Mathematical sciences and chemical > Mechanics > Theoretical Mechanics ( general mechanics ) > Analytical Mechanics ( analytical mechanics)
© 2012 www.DissertationTopic.Net  Mobile