BRAKE ORBITS WITH MINIMAL PERIOD ESTIMATES OF FIRST-ORDER ANISOTROPIC HAMILTONIAN SYSTEMS

  • Xiaofei ZHANG ,
  • Chungen LIU
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  • 1. School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China;
    2. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Xiaofei Zhang, E-mail: 835858094@qq.com

Received date: 2022-10-03

  Revised date: 2024-08-19

  Online published: 2025-05-08

Supported by

The first author's work was supported by the NSFC (12301138), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2021L377) and the Doctoral Scientific Research Foundation of Shanxi Datong University (2018-B-15). The second author's work was supported by the NSFC (12171108).

Abstract

In this paper, the problem of brake orbits with minimal period estimates are considered for the first-order Hamiltonian systems with anisotropic growth, i.e., the Hamiltonian functions may have super-quadratic, sub-quadratic and quadratic behaviors simultaneously in different variable components.

Cite this article

Xiaofei ZHANG , Chungen LIU . BRAKE ORBITS WITH MINIMAL PERIOD ESTIMATES OF FIRST-ORDER ANISOTROPIC HAMILTONIAN SYSTEMS[J]. Acta mathematica scientia, Series B, 2025 , 45(2) : 347 -362 . DOI: 10.1007/s10473-025-0205-8

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