Adiabatic invariants induced by perturbation to form invariance of mechanico-electrical systems

DOI10.1016/j.physleta.2009.06.045zbMath1233.70006OpenAlexW2079280958MaRDI QIDQ665265

Xiangfeng Chen, Ning Ding, Cheng-Zhou Liu, Jian-Hui Fang

Publication date: 5 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.06.045

zbMATH Keywords

perturbationadiabatic invariantmechanico-electrical systemform invariance

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (1)

A new type of conserved quantity induced by symmetries of Lagrange system

Cites Work

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• Form invariance, Noether symmetry and Lie symmetry of Hamiltonian systems in phase space
• Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems
• New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics
• Perturbation of symmetries of rotational relativistic Birkhoffian systems and its inverse problem
• On Noether symmetries and form invariance of mechanico-electrical systems
• Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
• Adiabatic invariants of oscillators with one degree of freedom
• A New Type of Mei Adiabatic Invariant Induced by Perturbation to Mei Symmetry of Hamiltonian Systems

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