A New Type of Mei Adiabatic Invariant Induced by Perturbation to Mei Symmetry of Hamiltonian Systems

2009 ◽  
Vol 52 (1) ◽  
pp. 12-16 ◽  
Author(s):  
Ding Ning ◽  
Fang Jian-Hui
Keyword(s):  
Hamiltonian Systems ◽  
Adiabatic Invariant ◽  
New Type ◽  
Mei Symmetry

A new type of conserved quantity of Mei symmetry for Lagrange system

2007 ◽  
Vol 16 (4) ◽  
pp. 887-890 ◽  
Author(s):  
Fang Jian-Hui ◽  
Ding Ning ◽  
Wang Peng
Keyword(s):  
Conserved Quantity ◽  
Lagrange System ◽  
New Type ◽  
Mei Symmetry

A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

2008 ◽  
Vol 17 (2) ◽  
pp. 394-398 ◽  
Author(s):  
Zhang Xiao-Ni ◽  
Fang Jian-Hui ◽  
Pang Ting ◽  
Lin Peng
Keyword(s):  
Phase Space ◽  
Mechanical System ◽  
Conserved Quantity ◽  
New Type ◽  
Mei Symmetry

scholarly journals A new type of conserved quantity of Mei symmetry for Hamilton system

2007 ◽  
Vol 56 (6) ◽  
pp. 3039
Author(s):  
Fang Jian-Hui ◽  
Ding Ning ◽  
Wang Peng
Keyword(s):  
Conserved Quantity ◽  
Hamilton System ◽  
New Type ◽  
Mei Symmetry

scholarly journals A new type of conserved quantity induced by Mei symmetry of Appell equation

2010 ◽  
Vol 59 (11) ◽  
pp. 7552
Author(s):  
Zhang Yao-Yu ◽  
Jia Li-Qun ◽  
Yang Xin-Fang ◽  
Xie Yin-Li ◽  
Cui Jin-Chao
Keyword(s):  
Conserved Quantity ◽  
New Type ◽  
Mei Symmetry

A New Type of Conserved Quantity of Mei Symmetry for Lagrange Systems

2007 ◽  
Vol 48 (5) ◽  
pp. 799-800 ◽  
Author(s):  
Ding Ning ◽  
Fang Jian-Hui ◽  
Wang Peng ◽  
Zhang Xiao-Ni
Keyword(s):  
Conserved Quantity ◽  
New Type ◽  
Mei Symmetry

A New Type of Conserved Quantity of Mei Symmetry for Holonomic Mechanical System

2009 ◽  
Vol 26 (11) ◽  
pp. 110202 ◽  
Author(s):  
Fang Jian-Hui ◽  
Zhang Ming-Jiang ◽  
Lu Kai
Keyword(s):  
Mechanical System ◽  
Conserved Quantity ◽  
New Type ◽  
Mei Symmetry

A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates

2009 ◽  
Vol 18 (8) ◽  
pp. 3150-3154 ◽  
Author(s):  
Pang Ting ◽  
Fang Jian-Hui ◽  
Zhang Ming-Jiang ◽  
Lin Peng ◽  
Lu Kai
Keyword(s):  
Nonholonomic Systems ◽  
Conserved Quantity ◽  
New Type ◽  
Mei Symmetry

scholarly journals Dirac and Lagrange Algebraic Constraints in Nonlinear Port-Hamiltonian Systems

2020 ◽  
Vol 48 (4) ◽  
pp. 929-939 ◽  
Author(s):  
Arjan van der Schaft ◽  
Bernhard Maschke
Keyword(s):  
State Space ◽  
Hamiltonian Systems ◽  
Cotangent Bundle ◽  
Hamiltonian Function ◽  
Lagrangian Submanifold ◽  
State Variables ◽  
Control Signals ◽  
New Type ◽  
Algebraic Constraints ◽  
Extra State

AbstractAfter recalling the definitions of standard port-Hamiltonian systems and their algebraic constraints, called here Dirac algebraic constraints, an extended class of port-Hamiltonian systems is introduced. This is based on replacing the Hamiltonian function by a general Lagrangian submanifold of the cotangent bundle of the state space manifold, motivated by developments in (Barbero-Linan et al., J. Geom. Mech. 11, 487–510, 2019) and extending the linear theory as developed in (van der Schaft and Maschke, Syst. Control Lett. 121, 31–37, 2018) and (Beattie et al., Math. Control Signals Syst. 30, 17, 2018). The resulting new type of algebraic constraints equations are called Lagrange algebraic constraints. It is shown how Dirac algebraic constraints can be converted into Lagrange algebraic constraints by the introduction of extra state variables, and, conversely, how Lagrange algebraic constraints can be converted into Dirac algebraic constraints by the use of Morse families.

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