scholarly journals Publisher’s Note: “Dynamical invariants for time-dependent real and complex Hamiltonian systems” [J. Math. Phys. 62, 112705 (2021)]

2021 ◽  
Vol 62 (12) ◽  
pp. 129901
Author(s):  
Narender Kumar ◽  
S. B. Bhardwaj ◽  
Vinod Kumar ◽  
Ram Mehar Singh ◽  
Fakir Chand
Keyword(s):  
Hamiltonian Systems ◽  
Time Dependent ◽  
Dynamical Invariants ◽  
Math Phys

Dynamical invariants for time-dependent real and complex Hamiltonian systems

2021 ◽  
Vol 62 (11) ◽  
pp. 112705
Author(s):  
Narender Kumar ◽  
S. B. Bhardwaj ◽  
Vinod Kumar ◽  
Ram Mehar Singh ◽  
Fakir Chand
Keyword(s):  
Hamiltonian Systems ◽  
Time Dependent ◽  
Dynamical Invariants

scholarly journals PERIODIC FIRST INTEGRALS FOR HAMILTONIAN SYSTEMS OF LIE TYPE

2011 ◽  
Vol 08 (06) ◽  
pp. 1169-1177 ◽  
Author(s):  
RUBEN FLORES ESPINOZA
Keyword(s):  
Hamiltonian Systems ◽  
Nonlinear Oscillator ◽  
Original System ◽  
First Integrals ◽  
Time Dependent ◽  
Existence Problem ◽  
Adjoint Group ◽  
Killing Form ◽  
Modern Physics ◽  
Existence Of Periodic Solutions

In this paper, we study the existence problem of periodic first integrals for periodic Hamiltonian systems of Lie type. From a natural ansatz for time-dependent first integrals, we refer their existence to the existence of periodic solutions for a periodic Euler equation on the Lie algebra associated to the original system. Under different criteria based on properties for the Killing form or on exponential properties for the adjoint group, we prove the existence of Poisson algebras of periodic first integrals for the class of Hamiltonian systems considered. We include an application for a nonlinear oscillator having relevance in some modern physics applications.

Time-dependent constrained Hamiltonian systems and Dirac brackets

1996 ◽  
Vol 29 (21) ◽  
pp. 6843-6859 ◽  
Author(s):  
Manuel de León ◽  
Juan C Marrero ◽  
David Martín de Diego
Keyword(s):  
Hamiltonian Systems ◽  
Time Dependent ◽  
Constrained Hamiltonian Systems ◽  
Dirac Brackets

General dynamical invariants for time-dependent Hamiltonians

1987 ◽  
Vol 35 (5) ◽  
pp. 2314-2320 ◽  
Author(s):  
E. Duering ◽  
D. Otero ◽  
A. Plastino ◽  
A. N.
Keyword(s):  
Time Dependent ◽  
Dynamical Invariants
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