A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems

Nonlinear Dynamics ◽

10.1007/s11071-011-9996-3 ◽

2011 ◽

Vol 67 (1) ◽

pp. 475-482 ◽

Author(s):

Wenan Jiang ◽

Shaokai Luo

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants ◽

Download Full-text

A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems

Acta Physica Sinica ◽

10.7498/aps.56.5580 ◽

2007 ◽

Vol 56 (10) ◽

pp. 5580

Author(s):

Luo Shao-Kai

Keyword(s):

Lagrangian Systems ◽

Adiabatic Invariants ◽

Download Full-text

ADIABATIC INVARIANTS FOR LINEAR HAMILTONIAN SYSTEMS

International Conference on Differential Equations ◽

10.1016/b978-0-12-059650-8.50041-7 ◽

1975 ◽

pp. 474

Author(s):

Anthony Leung

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants ◽

Linear Hamiltonian Systems

Download Full-text

Geometric amplitude, adiabatic invariants, quantization, and strong stability of Hamiltonian systems

Journal of Mathematical Physics ◽

10.1063/1.1418718 ◽

2002 ◽

Vol 43 (1) ◽

pp. 25-42 ◽

Author(s):

K. Yu. Bliokh

Keyword(s):

Hamiltonian Systems ◽

Strong Stability ◽

Adiabatic Invariants

Download Full-text

Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients

Journal of Differential Equations ◽

10.1016/0022-0396(81)90033-4 ◽

1981 ◽

Vol 42 (1) ◽

pp. 47-71 ◽

Author(s):

Mark Levi

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants ◽

Periodic Coefficients ◽

Linear Hamiltonian Systems

Download Full-text

Generalized adiabatic invariants in one-dimensional Hamiltonian systems

Physical Review Letters ◽

10.1103/physrevlett.68.3659 ◽

1992 ◽

Vol 68 (25) ◽

pp. 3659-3662 ◽

Author(s):

P. Helander ◽

M. Lisak ◽

V. E. Semenov

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants ◽

One Dimensional

Download Full-text

On the accuracy of conservation of adiabatic invariants in slow-fast Hamiltonian systems

Regular and Chaotic Dynamics ◽

10.1134/s1560354712010054 ◽

2012 ◽

Vol 17 (1) ◽

pp. 54-62 ◽

Author(s):

Tan Su

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants

Download Full-text

Adiabatic invariants for linear Hamiltonian systems

Journal of Differential Equations ◽

10.1016/0022-0396(75)90031-5 ◽

1975 ◽

Vol 17 (1) ◽

pp. 32-43 ◽

Author(s):

Anthony Leung ◽

Kenneth Meyer

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants ◽

Linear Hamiltonian Systems

Download Full-text

Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems

Reports on Mathematical Physics ◽

10.1016/s0034-4877(99)80158-x ◽

1999 ◽

Vol 44 (1-2) ◽

pp. 171-182 ◽

Author(s):

Y. Prykarpatsky ◽

A.M. Samoilenko ◽

D. Blackmore

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariants ◽

Integrable Hamiltonian Systems

Download Full-text

Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems

Journal of Mathematical Physics ◽

10.1063/1.4817863 ◽

2013 ◽

Vol 54 (8) ◽

pp. 082704 ◽

Author(s):

M. Avendaño-Camacho ◽

J. A. Vallejo ◽

Yu. Vorobiev

Keyword(s):

Hamiltonian Systems ◽

Higher Order ◽

Adiabatic Invariants ◽

Higher Order Corrections

Download Full-text

Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems

Nonlinear Dynamics ◽

10.1007/s11071-011-0051-1 ◽

2011 ◽

Vol 67 (2) ◽

pp. 1075-1081 ◽

Author(s):

Wenan Jiang ◽

Lin Li ◽

Zhuangjun Li ◽

Shaokai Luo

Keyword(s):

Adiabatic Invariants ◽

New Type ◽

Symmetrical Perturbation

Download Full-text