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This paper focuses on methods of constructing of reduced-order models of mechanical systems which preserve the Lagrangian structure of the original system. These methods may be used in combination wit...
The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asym...
We illustrate a theoretical procedure determining necessary conditions for which simultaneous pure rolling kinetic constraints acting on a mechanical system can be fulfilled. We also analyze the suffi...
In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian. According the Descartes point of view, the motion of mechanical systems is ...
The essence of the complex dynamics originated by the interaction between the pilot ?& ?aircraft can be captured on labs, by means of unstable ?underactuated mechanical systems. Thus, the unactuated ...
2007Vol.48No.1pp.19-22DOI: Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems DING Ning, FANG Jian-Hui, WANG Peng, and ZHANG Xiao-Ni ...
2007Vol.48No.1pp.23-26DOI: Noether-Form Invariance of Nonholonomic Controllable Mechanical Systems in Phase Space XIA Li-Li and LI Yuan-Cheng College of Physics Scienc...
2007Vol.47No.4pp.607-610DOI: Perturbation of Symmetries and Hojman Adiabatic Invariants for Mechanical Systems with Unilateral Holonomic Constraints ZHANG Yi and FAN Cun-Xin ...
2007Vol.47No.4pp.594-596DOI: Perturbation and Adiabatic Invariants of Mei Symmetry for Nonholonomic Mechanical Systems DING Ning, FANG Jian-Hui, and WANG Peng College of...
2006Vol.46No.6pp.1081-1084DOI: Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev's Type with Unilateral Constraints XIA Li-Li, LI Yuan-Cheng, WANG Jing, and HOU...
2006Vol.46No.4pp.683-686DOI: Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev's Type Constraints XIA Li-Li, LI Yuan-Cheng, HOU Qi-Bao, and WANG Jing ...
2006Vol.46No.3pp.385-388DOI: A Unified Symmetry of Mechanical Systems with Variable Mass in Phase Space WANG Peng, FANG Jian-Hui, ZHANG Peng-Yu, and DING Ning College o...
2003Vol.40No.5pp.595-600DOI: On General Volume-Preserving Mechanical Systems via Cohomology ZHOU Bin,1 GUO Han-Ying,2 and WU Ke3 1 Institute of High Energy Physics, the...
Genetic algorithm (GA) inspired by the biological world is a general search and optimization method. It was first proposed by Holland in 1975. GA has been applied to many scientific areas especially i...
The N-dimensional Schrödinger equation involving a general, central potential VN(r), is decomposed into a 3-dimensional component plus a term that may be treated as a dimension-dependent perturba...

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