2023
DOI: 10.1051/wujns/2023282106
|View full text |Cite
|
Sign up to set email alerts
|

A Study on Time Scale Non-Shifted Hamiltonian Dynamics and Noether's Theorems

Abstract: The time-scale non-shifted Hamiltonian dynamics are investigated, including both general holonomic systems and nonholonomic systems. The time-scale non-shifted Hamilton principle is presented and extended to nonconservative system, and the dynamic equations in Hamiltonian framework are deduced. The Noether symmetry, including its definition and criteria, for time-scale non-shifted Hamiltonian dynamics is put forward, and Noether's theorems for both holonomic and nonholonomic systems are presented and proved. T… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
1

Relationship

1
0

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 45 publications
0
1
0
Order By: Relevance
“…Musielak [5] constructed Lagrangians for variable-coefficient dissipative dynamics systems, including standard and non-standard Lagrangians. Symmetry and conserved quantity have always been a hot spot in analytical mechanics [6][7][8] . Recently, Zhang and his collaborators have studied Noether theorems for systems with non-standard Lagrangians [9,10] , non-standard Hamiltonians [11] , non-standard Birkhoffians [12] , and Lie symmetry [13,14] , Mei symmetry [15] , first integral and method of reduction [16,17] .…”
Section: Introductionmentioning
confidence: 99%
“…Musielak [5] constructed Lagrangians for variable-coefficient dissipative dynamics systems, including standard and non-standard Lagrangians. Symmetry and conserved quantity have always been a hot spot in analytical mechanics [6][7][8] . Recently, Zhang and his collaborators have studied Noether theorems for systems with non-standard Lagrangians [9,10] , non-standard Hamiltonians [11] , non-standard Birkhoffians [12] , and Lie symmetry [13,14] , Mei symmetry [15] , first integral and method of reduction [16,17] .…”
Section: Introductionmentioning
confidence: 99%