On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax~4 + cx2~y~2

Manuel Falconi; Ernesto Lacomba; Claudio Vidal

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On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax~4 + cx2~y~2

机译：齐次多项式势为V = ax〜4 + cx2〜y〜2的力学系统的动力学

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摘要

This paper is devoted to analyze certain dynamical aspects of the planar mechanical system associated to the potential V = ax~4 + cx2~y~2 as a function of the real parameters a and c.

机译：本文致力于分析与潜在电势V = ax〜4 + cx2〜y〜2相关的平面机械系统的某些动力学方面，它们是真实参数a和c的函数。

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来源
《Journal of dynamics and differential equations》 |2009年第3期|527-554|共28页
作者
Manuel Falconi; Ernesto Lacomba; Claudio Vidal;
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作者单位

Depto. de Matematicas, Fac. de Ciencias, UNAM. C, Universitaria, Mexico, DF 04510, Mexico;

Mathematics Department, UAM-I, P.O. Box 55-534, Mexico, DF 09340, Mexico;

Departamento de Matematica, Facultad de Ciencias, Universidad del Bio Bio, Casilla 5-C, VIII-Region, Concepcion, Chile;

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原文格式 PDF
正文语种 eng
中图分类
关键词
hamiltonian vector fields; homogeneous polynomial potentials; global flow;

机译：汉密尔顿向量场;齐次多项式势全球流动;

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1. The Flow on Negative Energy of Mechanical Systems with Homogeneous Polynomial Potentials [J] . M. Falconi, E. A. Lacomba, C. Vidal Qualitative theory of dynamical systems . 2009,第2期

机译：具有齐次多项式势的机械系统的负能量流
2. The Flow on Negative Energy of Mechanical Systems with Homogeneous Polynomial Potentials [J] . M. Falconi, E. A. Lacomba, C. Vidal Qualitative Theory of Dynamical Systems . 2009,第2期

机译：具有齐次多项式势的机械系统的负能量流
3. Dynamics of Mechanical Systems with Polynomial Potentials [J] . M. Falconi, E. A. Lacomba, C. Vidal Journal of dynamics and differential equations . 2014,第3期

机译：具有多项式势的机械系统的动力学
4. Asymptotic behavior of nonlinear non-autonomous mechanical systems with two-component homogeneous potential forces [C] . Fadeev Sergey S. 2014 International Conference on Computer Technologies in Physical and Engineering Applications . 2014

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5. The transfer Hamiltonian: A tool for large scale, accurate, molecular dynamics simulations using quantum mechanical potentials. [D] . Taylor, DeCarlos E. 2004

机译：转移哈密顿量：使用量子机械势进行大规模，准确的分子动力学模拟的工具。
6. Maximal aggregation of polynomial dynamical systems [O] . Luca Cardelli, Mirco Tribastone, Max Tschaikowski, 2017

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7. On the integrability of the Hamiltonian systems with homogeneous polynomial potentials [O] . Jaume Llibre, Xiang Zhang 2018

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On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax~4 + cx2~y~2

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