Perturbation theory in classical mechanicsCorreo, Casilla DePerturbation theory in Classical Mechanics,FM Fernan- dez,Eur.J.Phys.18(1997)Fernandez, F.M., Perturbation theory in classical mechanics, Eur. J. Phys., 18, 436, 1997.
In this chapter, we mainly aim to give an idea of the infancy and the adolescence of perturbation theory. Keeping in mind the general assumption according to which the whole book is built up, we have tried, as far as possible, to account for the developments and the changes which perturbat...
Combined with computers, the generalized variational principle provided a broad working field, and perturbation theory provided an effective means for mechanics to enter the nonlinear fields (Grasman and Matkowsky, 1977; Grasman et al., 1978; Kreiss and Parter, 1974; Lin and Segel, 1974; Matko...
Theoretical or Mathematical/ classical mechanics of discrete systemsdynamicseigenvalues and eigenfunctionsperturbation theory/ large discrete linear dynamical systemsright-hand eigenproblem state transition matrixmatrixeigenvalueseigenvectorsalgebraic equationsperturbation...
Locatelli, "Kolmogorov theorem and classical perturbation theory", ZAMP 48 (1997), 220-261Giorgilli, A.: Small denominators and exponential stability: from... A Giorgilli - 《Milan Journal of Mathematics》 被引量: 6发表: 1998年 CANONICAL PERTURBATION THEORY FOR NEARLY INTEGRABLE SYSTEMS These le...
Chen,Suhuan - Matrix perturbation theory in structural dynamic design = 结构动态设计的矩阵摄动理论 被引量: 51发表: 0年 A Brief Overview of Hard-Thermal-Loop Perturbation Theory The poor convergence of quantum field theory at finite temperature has been one of the main obstacles in the practical...
Mathematical methods of classical mechanics in the whole are discussed, with particular attention given to asymptotic methods (e.g., perturbation theory, the averaging method, and adiabatic invariants... GC Rota - 《Advances in Mathematics》 被引量: 476发表: 1983年 Perturbation theory and asymptotic...
Perturbation theory1,2 is widely used in many fields of science and engineering as an effective method to find an approximate solution to a given problem, expressed in terms of a power series in a small parameter. In regular perturbation calculations, one only keeps the first few terms of ...
The time-dependent quantum perturbation theory developed by Born, Heisenberg and Jordan in 1926 is revisited. We show that it not only reproduces the standard theory formulated in the interaction picture, but also allows one to construct more accurate approximations if time averaging techniques are ...
complement important features of the theory.The author also compares different methods by applying them to the same models so that readers clearly understand why one technique may be preferred over another. Demonstrating the application of similar techniques in quantum and classical mechanics, "...