caa a22 4500 605461740 CHVBK 20210128100244.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10114-015-4421-3 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4421-3 Li Chong Basic Department, Beijing Union University, 100101, Beijing, P. R. China aut The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems [Elektronische Daten] [Chong Li] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Brake orbits nationallicence minimal period nationallicence L -Maslov type index nationallicence Hamiltonian systems nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/10(2015-10-01), 1645-1658 1439-8516 31:10<1645 2015 31 10114 https://doi.org/10.1007/s10114-015-4421-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4421-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Li Chong Basic Department, Beijing Union University, 100101, Beijing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/10(2015-10-01), 1645-1658 1439-8516 31:10<1645 2015 31 10114