QUASI-PERIODIC SOLUTIONS OF A DAMPED REVERSIBLE OSCILLATOR AT RESONANCE

ANNA CAPIETTO; WALTER DAMBROSIO; XINPING WANG

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QUASI-PERIODIC SOLUTIONS OF A DAMPED REVERSIBLE OSCILLATOR AT RESONANCE

机译：阻尼可逆振荡器共振的准周期解

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摘要

We prove the existence of quasi periodic solutions and of Aubry-Mather sets for a resonant reversible equation of the form x" + ax~+-bx~- +φ(x)+f (x, x', t) = p(t); the functions p and f are 2π-periodic in t and the perturbation φ is bounded.

机译：我们证明了形式为x“ + ax〜+ -bx〜-+φ（x）+ f（x，x'，t）= p（x）的谐振可逆方程的拟周期解和Aubry-Mather集的存在t）;函数p和f在t中为2π周期，并且扰动φ是有界的。

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来源
《Differential and integral equations》 |2009年第10期|共14页
作者
ANNA CAPIETTO; WALTER DAMBROSIO; XINPING WANG;
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原文格式 PDF
正文语种 eng
中图分类 513B0075;
关键词
periodic solutions; Aubry-Mather; functions;

机译：周期解;Aubry-Mather;函数;

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专利

1. QUASI-PERIODIC SOLUTIONS OF A DAMPED REVERSIBLE OSCILLATOR AT RESONANCE [J] . ANNA CAPIETTO, WALTER DAMBROSIO, XINPING WANG Differential and integral equations . 2009,第9a10期

机译：阻尼可逆振荡器共振的准周期解
2. Quasi-periodic solutions of forced isochronous oscillators at resonance [J] . Liu B. Journal of Differential Equations . 2009,第9期

机译：共振时强制等时振荡器的准周期解
3. Quasi-periodic solutions of a forced asymmetric oscillator at resonance [J] . Capietto A, Liu B Nonlinear Analysis: An International Multidisciplinary Journal . 2004,第1期

机译：强迫非对称振荡器共振的准周期解
4. DAMPED TRANSITION OF A STRONGLY NONLINEAR SYSTEM OF COUPLED OSCILLATORS INTO A STATE OF CONTINUOUS RESONANCE SCATTERING [C] . David Andersen, Xingyuan Wang, Yuli Starosvetsky, ASME international design engineering technical conferences;DETC2011;MSNDC;International conference on multibody systems, nonlinear dynamics and control;Computers and information in engineering conference;CIE 2011 . 2012

机译：耦合振荡器的强非线性系统从阻尼跃迁到连续共振散射的状态
5. An extension of KAM theory to quasi-periodic breather solutions in Hamiltonian lattice systems. [D] . Viveros Rogel, Jorge. 2007

机译：将KAM理论扩展到哈密顿晶格系统中的准周期呼吸解。
6. Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam [O] . Li Tang, Xiongliang Yao, Guoxun Wu, 2020

机译：周期振荡器耦合阻尼梁的带间隙特性分析
7. Effects of Resonance in Quasi-periodic Oscillators of Neutron Star Binaries [O] . Titarchuk L. 2002

机译：中子星二元星系准周期振子的共振效应
8. On Internal Resonance of Two Damped Oscillators. [R] . Miles, J. W. 1975

机译：关于两个阻尼振子的内共振。

QUASI-PERIODIC SOLUTIONS OF A DAMPED REVERSIBLE OSCILLATOR AT RESONANCE

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