Perturbation Analysis of Diffeomorphisms in Contact Dynamical System

Abstract:

This paper studies the perturbations of strictly contact diffeomorphisms in contact dynamical system. By constructing new lifting methods for contact system and using some perturbation techniques in Hamiltonian mechanics, this paper proves that there exists an arbitrary small perturbations such that the corresponding function of the strictly contact isotopy does not equal to a constant at any time.

• Periodical: Advanced Materials Research (Volume 529)
• Pages: 264-267
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.529.264
• Online since: June 2012
• Authors: Da Wei Sun
• Keywords: Contact Diffeomorphisms, Contact Dynamical System, Contact Energy

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DOI: 10.1007/s00039-011-0143-6