书目名称 | Predictability of Chaotic Dynamics |
副标题 | A Finite-time Lyapun |
编辑 | Juan C. Vallejo,Miguel A. F. Sanjuan |
视频video | http://file.papertrans.cn/755/754520/754520.mp4 |
概述 | Authored by leading researchers in the field.Self-contained introduction and presentation.Includes a number of worked-out examples.New, significantly expanded edition |
丛书名称 | Springer Series in Synergetics |
图书封面 |  |
描述 | .This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation...This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler |
出版日期 | Book 2019Latest edition |
关键词 | Finite Lyapunov exponents; Henon-Heiles system; Simulation of galactic dynamics; Forecasting in chaotic |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-030-28630-9 |
isbn_softcover | 978-3-030-28632-3 |
isbn_ebook | 978-3-030-28630-9Series ISSN 0172-7389 Series E-ISSN 2198-333X |
issn_series | 0172-7389 |
copyright | Springer Nature Switzerland AG 2019 |