Articles

STABILITY OF SUBHARMONIC SOLUTIONS OF FIRST-ORDER HAMILTONIAN SYSTEMS WITH ANISOTROPIC GROWTH

  • Chungen LIU ,
  • Xiaofei ZHANG
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  • 1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
    2. School of Mathematics, Nankai University, Tianjin 300071, China

Received date: 2017-11-01

  Revised date: 2018-04-08

  Online published: 2019-03-13

Supported by

The first author was supported by NSFC (11471170, 11790271), innovation and development project of Guangzhou University.

Abstract

Using the dual Morse index theory, we study the stability of subharmonic solutions of first-order autonomous Hamiltonian systems with anisotropic growth, that is, we obtain a sequence of elliptic subharmonic solutions (that is, all its Floquet multipliers lying on the unit circle on the complex plane C).

Cite this article

Chungen LIU , Xiaofei ZHANG . STABILITY OF SUBHARMONIC SOLUTIONS OF FIRST-ORDER HAMILTONIAN SYSTEMS WITH ANISOTROPIC GROWTH[J]. Acta mathematica scientia, Series B, 2019 , 39(1) : 111 -118 . DOI: 10.1007/s10473-019-0108-7

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