Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems
From MaRDI portal
Publication:437216
DOI10.1007/s11071-011-9993-6zbMath1316.70016OpenAlexW1998782945MaRDI QIDQ437216
Wen-An Jiang, Zhuang-Jun Li, Shao-Kai Luo
Publication date: 17 July 2012
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-011-9993-6
Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)
Related Items (21)
Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system ⋮ Conformal invariance and conserved quantity of Mei symmetry for higher-order nonholonomic system ⋮ A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space ⋮ A new Lie symmetrical method of finding conserved quantity for Birkhoffian systems ⋮ Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system ⋮ A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems ⋮ Perturbation to Noether symmetries and adiabatic invariants for Birkhoffian systems ⋮ Unnamed Item ⋮ Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type ⋮ Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems ⋮ Perturbation to conformal invariance and adiabatic invariants of generalized perturbed Hamiltonian system with additional terms ⋮ Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems ⋮ Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system ⋮ Fractional generalized Hamiltonian equations and its integral invariants ⋮ Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system ⋮ Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives ⋮ Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system ⋮ A new type of fractional Lie symmetrical method and its applications ⋮ A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications ⋮ Noether symmetries and conserved quantities for Birkhoffian systems with time delay ⋮ Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type
Cites Work
- Unnamed Item
- Conserved quantities from non-Noether symmetries without alternative Lagrangians
- A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss
- Adiabatic invariants for dynamical systems with one degree of freedom
- Noether's theory in classical nonconservative mechanics
- Conservation laws of dynamical systems via d'Alembert's principle
- Relativistic variation principles and equation of motion for variable mass controllable mechanical system
- Conserved quantities and velocity-dependent symmetries in Lagrangian dynamics
- Conformal invariance and conserved quantity for the nonholonomic system of Chetaev's type
- Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
- Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems
- Mei Adiabatic Invariants Induced by Perturbation of Mei Symmetry for Nonholonomic Controllable Mechanical Systems
- Dynamical symmetries and conserved quantities
- A new conservation law constructed without using either Lagrangians or Hamiltonians
- The averaging perturbation method for the dominant behaviour analysis of adiabatic single‐controlled oscillators
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
This page was built for publication: Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems
