Homoclinic orbits for a nonperiodic Hamiltonian system

By Yanheng Ding, Louis Jeanjean. 2007

75 citations recorded by the source corpus.

Abstract In this paper we prove the existence and multiplicity of homoclinic orbits for first order Hamiltonian systems of the form z ˙ = J H z ( t , z ) , where H z is asymptotically linear at ∞ and is not assumed to be periodic.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b898586eb0ca233b8d7f8685b77d9807585ab074

How researchers see this paper

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In Applied Mathematics

1. Fukun Zhao
2. Leiga Zhao
3. Yanheng Ding
4. Xianhua Tang
5. Claudianor Oliveira Alves
6. Zhisu Liu
7. Shangjiang Guo
8. Yong-Geun Oh

In Mathematical Physics

1. Fukun Zhao
2. Leiga Zhao
3. Yanheng Ding
4. Xianhua Tang
5. Claudianor Oliveira Alves
6. Chunlei Tang
7. Yiwei Ye
8. M. Souto

In Statistical and Nonlinear Physics

1. Leiga Zhao
2. Fukun Zhao
3. Yanheng Ding

Citations in the corpus

• Multiple Solutions for Asymptotically Linear Elliptic Systems (2008, background): “4 in Ding and Jeanjean [15]), we can obtain the following Lemma 4.”