The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems

Authors
Li, Chong
Citation
Li, Chong, The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems, Acta mathematica Sinica. English series (Print) , 31(10), 2015, pp. 1645-1658
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
10
Year of publication
2015
Pages
1645 - 1658
Database
ACNP
SICI code
Abstract
In this paper, we consider the minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems. We prove that if the Hamiltonian function H . C 2(R2n,R) is unbounded and not uniformly coercive, there exists at least one nonconstant T-periodic brake orbit (z, T) with minimal period T or T/2 for every number T > 0.