Periodic Solutions for the Generalized Anisotropic Lennard-Jones Hamiltonian-Reference-Cited by-同舟云学术

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Periodic Solutions for the Generalized Anisotropic Lennard-Jones Hamiltonian

Published:2015-10 Issue:2 Volume:14 Page:291-311
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Llibre Jaume,Long Yiming

Funder

MINECO

Generalitat de Catalunya

European Community

Recruitment program of high-end foreign experts of China

NSFC

Ministry of Education of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s12346-015-0167-7.pdf

Reference14 articles.

1. Ambrosetti, A., Coti Zelati, V.: Periodic Solutions of Singular Lagrangian Systems, Progress in Nonlinear Differential Equations and their Applications, vol. 10. Birkhäuser, Boston (1993)

2. Barbosu, M., Mioc, V., Paşca, D., Szenkovits, F.: The two-body problem with generalized Lennard-Jones potential. J. Math. Chem. 49, 1961–1975 (2011)

3. Brush, S.G.: Interatomic forces and gas theory from Newton to Lennard-Jones. Arch. Ration. Mech. Anal. 39, 1–29 (1970)

4. Corbera, M., Llibre, J., Pérez-Chavela, E.: Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Celest. Mech. Dyn. Astron. 89, 235–266 (2004)

5. Frenkel, D., Smit, B.: Understanding Molecular Simulation, 2nd edn. Academic Press, San Diago (2002)

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1. Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach;Archive for Rational Mechanics and Analysis;2023-06-12

2. Positive periodic solution to a second-order differential equation with attractive-repulsive singularities;Rocky Mountain Journal of Mathematics;2022-02-01

3. Bifurcations of quasi-periodic solutions from relative equilibria in the Lennard–Jones 2-body problem;Celestial Mechanics and Dynamical Astronomy;2021-09

4. Homographic Solutions of the N-body Generalized Lennard-Jones System;Acta Mathematica Sinica, English Series;2020-04-15

5. Periodic solution for second order damped differential equations with attractive-repulsive singularities;Rocky Mountain Journal of Mathematics;2018-06-01

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