STABILITY OF MOTIONS - THE ROLE OF MULTICOMPONENT LIAPUNOVS FUNCTIONS Publisher's description: This volume presents stability theory for ordinary differential equations, discrete systems and systems on time scale, functional differential equations and uncertain systems via multicomponent Liapunov's functio.....
The two sets of equations developed, one for 90-degree motions and the other for motions in other directions, indicate that it is possible to model three-dimensional body-member motions accurately. While distance is found to have a negligible effect on the motion path pattern, the effect of ...
In the case of three mutually perturbing bodies, one is led to a consideration of the properties of periodic solutions of the equations of motion, both because they represent a class of motions of which the behaviour certainly is known for all time, once it is known for one period, and ...
Construction of models for the motions of celestial bodies based on observations Nikolay Emelyanov, in The Dynamics of Natural Satellites of the Planets, 2021 6.4.2 Differential equations for isochronous derivatives in the three-body problem. Refinement of the initial conditions of the equations of mo...
The N-body problem is a classical famous problem which has attracted a lot of attention. It consists of describing the complete behavior of all solutions of the equations of motions for a given initial condition. Still related to this kind of problem Euler in 1772 describe the three-body prob...
The classical two parameter elastic foundation model violates the equilibrium condition of the adhesive layer; to eliminate this flaw, a new three parameter elastic foundation model is considered which satisfies the equilibrium condition of the adhesive layer. The governing equations of motions are ...
Details on Numerical Integration of the Classical Equations of Motion Referencesshare Share announcement Help format_quote Cite question_answer Discuss in SciProfiles thumb_up ... Endorse textsms ... Comment Need Help? Support Find support for a specific problem in the support section of ...
Therefore, such subject-specific and motion-related model parameters were represented by polynomial equations determined using tibiofemoral kinematics after the completion of step-two analysis. The role of the kinematic model in the determination of joint rotations was to provide physical constraints to ...
The derivation of such formulations lies beyond the scope of this chapter, and we only outline here the general approach. The derivation begins with the governing equations for the individual components of the Reynolds stress tensor, obtained by multiplying the governing equations for the velocity ...
Using approximate symmetry methods for differential equations we have investigated the exact and approximate symmetries of a Lagrangian for the geodesic eq... Ibrar,Hussain,F.,... - 《General Relativity & Gravitation》 被引量: 40发表: 2009年 The tetralogy of Birkhoff theorems We classify the exis...