About integrated invariance, arising at resonance of oscillations in some types non-conservative mechanical systems

2003/02/12 by A. N. Skripka, Skripka, A. N.
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DS #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0302030

LaTeX2e, 3 pages

arxiv created 2003/02/12 · arxiv updated 2009/11/30

Abstract

For system of two ordinary differential equations of the second order representing autonomous non-conservative holonomic mechanical system, in case of dynamics such as one-frequency periodical oscillations, is found integrated invariant of movement.

Related

• Invariance principle in dynamical systems
• On the Integration Theory of Equations of Nonholonomic Mechanics
• A Generalization of the Poincaré-Cartan Integral Invariant for a Nonlinear Nonholonomic Dynamical System
• Quasi-periodic motions in generic nearly-integrable mechanical systems
• Dynamic general covariance of physical systems