Chaotic Dynamics and Transport in Classical and Quantum Systems, Pierre Collet; M. Courbage; S. M?tens; A. Neishtad
Автор: Sudarshan E C G Et Al Название: Classical Dynamics: A Modern Perspective ISBN: 9814730017 ISBN-13(EAN): 9789814730013 Издательство: World Scientific Publishing Цена: 7286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories.
Автор: Sergio Elaskar; Ezequiel del R?o Название: New Advances on Chaotic Intermittency and its Applications ISBN: 3319478362 ISBN-13(EAN): 9783319478364 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data.As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work.This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincar? map.Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
Автор: Pierre Collet; M. Courbage; S. M?tens; A. Neishtad Название: Chaotic Dynamics and Transport in Classical and Quantum Systems ISBN: 1402029462 ISBN-13(EAN): 9781402029462 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers a view on theories of classical and quantum in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, and oceans and to control of chaotic transport. This book is issued from lecture notes of the International Summer School on `Chaotic Dynamics and Transport in Classical and Quantum Systems`.
Описание: Describes a revolutionary approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive. This work also represents an introductory text to celestial mechanics, dynamical systems, and dynamical astronomy.
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