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渐近线性碰撞振子的无穷多弹性周期解的存在性
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作者 丁卫 《南京大学学报(数学半年刊)》 CAS 2009年第2期206-215,共10页
本文通过适当的坐标变换将碰撞振子的相平面转变为全平面,应用Poincare-Birkhoff扭转定理证明了渐近线性碰撞振子的无穷多弹性周期解的存在性,从而推广了已有的结果.
关键词 碰撞振子 渐近线性 POINCARE映射 Poincare-Birkhoff扭转定理
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次线性碰撞振子次调和弹性解的存在性和多解性问题(英文) 被引量:1
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作者 王志国 阮春兰 钱定边 《南京大学学报(数学半年刊)》 CAS 2010年第1期17-30,共14页
本文利用相平面分析方法结合Poincare-Birkhoff扭转不动点定理得到了次线性碰撞振子的无穷多次调和弹性解的存在性.
关键词 碰撞振子 次线性 弹性周期解 相平面分析
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一类碰撞振子的周期解及稳定性
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作者 王晓春 《苏州大学学报(自然科学版)》 CAS 2008年第3期24-29,共6页
提出了一种基于打靶法的数值研究框架,得到了一类带阻尼的碰撞振子的周期解及其稳定性.
关键词 碰撞振子 周期解 相平面分析 稳定性
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强迫摆型碰撞振子的弹性周期解 被引量:1
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作者 吴吟吟 钱定边 《中国科学:数学》 CSCD 北大核心 2018年第5期579-588,共10页
本文考虑一类具有强迫力的摆型碰撞振子无穷多次调和的弹性周期解的存在性.通过坐标变换的方法把碰撞系统转化为定义在全平面上的等价系统,再运用相平面分析的方法对变换后系统的解的动力行为进行分析,通过在改进的Poincar映射上应用P... 本文考虑一类具有强迫力的摆型碰撞振子无穷多次调和的弹性周期解的存在性.通过坐标变换的方法把碰撞系统转化为定义在全平面上的等价系统,再运用相平面分析的方法对变换后系统的解的动力行为进行分析,通过在改进的Poincar映射上应用Poincar-Birkhoff扭转定理得到了无穷多次调和的弹性周期解的存在性. 展开更多
关键词 摆型碰撞振子 弹性周期解 POINCARE映射 Poincare-Birkhoff扭转定理
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渐近线性碰撞振子的不变环面 被引量:2
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作者 钱定边 孙西瀅 《中国科学(A辑)》 CSCD 北大核心 2006年第4期418-437,共20页
利用后继映射和推广的Moser扭转定理证明了渐近线性碰撞振子的不变环面和拟周期解的存在性.
关键词 不变环面 解的有界性 拟周期解 碰撞振子
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带阻尼的多次弹性碰撞的周期解 被引量:1
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作者 李华一 《苏州科技学院学报(自然科学版)》 CAS 2006年第1期26-29,共4页
运用逼近框架与隐函数定理,对于带小阻尼的线性弹性碰撞振子,证明了在一周期内发生多次碰撞的大振幅2π-周期解的存在性。
关键词 碰撞振子 多次碰撞 周期解
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摩擦动力系统中两种非光滑现象及其算法研究 被引量:3
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作者 张继锋 冯奇 《噪声与振动控制》 CSCD 北大核心 2007年第5期38-41,共4页
摩擦引起的振动在很多工业应用中都是很严重的问题,因此是目前国内外普遍关注的问题之一。讨论摩擦动力系统中的两类非光滑现象:stick-slip运动和碰摩现象,并对其进行比较细致的描述。采用事件驱动方法对实例进行数值分析,并与其他通用... 摩擦引起的振动在很多工业应用中都是很严重的问题,因此是目前国内外普遍关注的问题之一。讨论摩擦动力系统中的两类非光滑现象:stick-slip运动和碰摩现象,并对其进行比较细致的描述。采用事件驱动方法对实例进行数值分析,并与其他通用数值方法进行比较。结果指出采用方法的优越性。 展开更多
关键词 振动与波 摩擦激振 粘-滑 摩擦碰撞振子 事件驱动
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A study of particles penetration in sieving process on a linear vibration screen 被引量:18
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作者 Zhanfu Li Xin Tong 《International Journal of Coal Science & Technology》 EI 2015年第4期299-305,共7页
This paper presented an investigation of particle collision and penetration using the discrete element method to understand the motion of particles and improve theoretical treatment in the sieving process. The process... This paper presented an investigation of particle collision and penetration using the discrete element method to understand the motion of particles and improve theoretical treatment in the sieving process. The process progressively was divided into looseness, stratification, collision, and penetration. Particle penetration has a direct effect on the screening performance. The penetration probability was defined, and the mathematical relationships between particle penetration and vibration parameters were established using the least squares method. To obtain the ideal penetration probability for materials the amplitude and frequency should preferably be near 3.0 mm and 25 Hz, respectively. The vibration direction angle has only a slight effect on penetration. The stage of the screening process from 0.1 to 0.7 s is the primary region for collision and penetration. This paper focused on the sieving process to more fully understand how particle collision and penetration influence the screening efficiency. 展开更多
关键词 Penetration probability COLLISION Discrete element method Sieving process
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Dynamics analysis of vibration process in Particle Impact Noise Detection 被引量:2
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作者 ZHANG Hui ZHOU Chang-lei +1 位作者 WANG Shu-juan ZHAI Guo-fu 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第3期444-448,共5页
Particle Impact Noise Detection (PIND) test is a reliability screening technique for hermetic device that is prescribed by MIL-PRF-39016E. Some test conditions are specified, although MIL-PRF-39016E did not specify ho... Particle Impact Noise Detection (PIND) test is a reliability screening technique for hermetic device that is prescribed by MIL-PRF-39016E. Some test conditions are specified, although MIL-PRF-39016E did not specify how to obtain these condi- tions. This paper establishes the dynamics model of vibration process based on first order mass-spring system. The corresponding Simulink model is also established to simulate vibration process in optional input excitations. The response equations are derived in sinusoidal excitations and the required electromagnetic force waves are computed in order to obtain a given vibration and shock accelerations. Last, some simulation results are given. 展开更多
关键词 Particle Impact Noise Detection (PIND) VIBRATION Electromagnetic force
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Near Resonant Electronic and Rotational Energy Transfer AB(^1∏, J)+C(^slj)→AB(^1∏, J')+C(^sl j') 被引量:4
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作者 WANGWei-Li SONGPeng SHENYang MAFeng-Cai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5期879-885,共7页
In our previous theoretical study, the theoretical model of thecollision-induced electronic and rotational energy transfer of AB(~1Σ, J) + C(~sl_j) → AB(~1Σ,J′) + C(~sl_(j′)) was presented. To further study the c... In our previous theoretical study, the theoretical model of thecollision-induced electronic and rotational energy transfer of AB(~1Σ, J) + C(~sl_j) → AB(~1Σ,J′) + C(~sl_(j′)) was presented. To further study the collision-induced electronic and rotationalenergy transfer theoretically on AB( ~1Π, J) + C(~sl_j) → AB( ~1Π, J′) + C(~sl_(j′)), atheoretical model is presented, based on the time-dependent first-order Born approximation, takinginto account the anisotropic Lennard-Jones interaction potential and 'straight-line' trajectoryapproximation. The changing tendency of the transitional probabilities with the anisotropicparameter is discussed. 展开更多
关键词 quantum interference rotational energy transfer near resonant electronic
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碰撞Hamiltonian系统的无穷小周期解 被引量:3
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作者 丁卫 钱定边 《中国科学:数学》 CSCD 北大核心 2010年第6期563-574,共12页
本文通过适当的坐标变换将碰撞振子的相平面转变为全平面,应用Poincaré-Birkhoff扭转定理,证明了在原点附近超线性碰撞振子的无穷多弹性周期解的存在性,从而推广了已有的结果.
关键词 碰撞振子 弹性周期解 POINCARE映射 Poincare-Birkhoff扭转定理
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An Explanation of a Phenomenon in Relativistic Heavy-Ion Collisions
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作者 陈小凡 杨学栋 +2 位作者 陈志来 孙芳魁 苏润洲 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第4期640-642,共3页
The multi-source pion interferometry in relativistic heavy-ion collisions is presented and two-source models for hadron gas and hadron gas plus quark-gluon plasma are proposed. The models can resolve the HBT puzzle. F... The multi-source pion interferometry in relativistic heavy-ion collisions is presented and two-source models for hadron gas and hadron gas plus quark-gluon plasma are proposed. The models can resolve the HBT puzzle. For the same q and different direction of q, the two-pion correlation functions show characteristic oscillation behaviors, which may be used to distinguish the two-source models. Our research also showes that the multi-source pion correlations can resolve the HBT puzzle. 展开更多
关键词 multi-source pion interferometry HBT puzzle relativistic heavy-ion collisions
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