Estimates and Control of Diffeomorphisms in Contact Dynamical System

Abstract

This paper studies the estimates and control of strictly contact diffeomorphisms in contact dynamical system. By constructing reparameterizing methods for contact system and using some perturbation techniques in Hamiltonian mechanics, this paper proves that the two norms of strictly contact diffeomorphism coincide under a certain condition and gives a variational descriptions of the tine one strictly contact isotopy.