Titlebook: Regular and Stochastic Motion; A. J. Lichtenberg,M. A. Lieberman Book 19831st edition Springer Science+Business Media New York 1983 Hamilt

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书目名称Regular and Stochastic Motion影响因子(影响力)




书目名称Regular and Stochastic Motion影响因子(影响力)学科排名




书目名称Regular and Stochastic Motion网络公开度




书目名称Regular and Stochastic Motion网络公开度学科排名




书目名称Regular and Stochastic Motion被引频次




书目名称Regular and Stochastic Motion被引频次学科排名




书目名称Regular and Stochastic Motion年度引用




书目名称Regular and Stochastic Motion年度引用学科排名




书目名称Regular and Stochastic Motion读者反馈




书目名称Regular and Stochastic Motion读者反馈学科排名

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A. J. Lichtenberg,M. A. Liebermanelds of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. .Topics covered include: Fano and del Pezzo foliations; the co

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0066-5452 tions to a number of areas in science and engineering, including astronomy, plasma physics, statistical mechanics and hydrodynamics. The main em­ phasis is on intrinsic stochasticity in Hamiltonian systems, where the stochastic motion is generated by the dynamics itself and not by external noise. Ho

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Book 19831st edition number of areas in science and engineering, including astronomy, plasma physics, statistical mechanics and hydrodynamics. The main em­ phasis is on intrinsic stochasticity in Hamiltonian systems, where the stochastic motion is generated by the dynamics itself and not by external noise. However, the

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Mappings and Linear Stability,e other hand, as we have seen in Chapter 2, regular motion is often conveniently described in terms of differential equations. Conversion of (Hamilton’s) differential equations into mappings, and ., are common devices for calculating the motion of most nonlinear dynamical systems.

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Stochastic Motion and Diffusion,ution of certain average quantities can be determined, rather than the trajectory corresponding to a given set of initial conditions (e.g., Chandrasekhar, 1943; Wang and Uhlenbeck, 1945). Such a formulation in terms of average quantities is also the basis for statistical mechanics (see, for example, Penrose, 1970).

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Canonical Perturbation Theory,ions” to a “nearby” system by expanding in the small parameter . by which the two systems differ. For example, if the nearby system is slightly nonlinear, then the linearized motion may be obtained directly, and the nonlinear perturbation found as a series solution.

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Mappings and Linear Stability, set of difference equations, i.e., a . of the dynamical trajectory onto a subspace of the system phase space. These mappings allow easy numerical visualization of the motion for problems of two degrees of freedom. Moreover, mathematical proofs concerned with the existence of various types of orbits

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