| 期刊全称 | Attractors Under Discretisation | | 影响因子2023 | Xiaoying Han,Peter Kloeden | | 视频video | | | 发行地址 | Combines a highly readable style, clear proofs, and many examples.Reviews essential earlier work on the discretisation of attractors and saddle points in autonomous systems.Introduces cutting-edge wor | | 学科分类 | SpringerBriefs in Mathematics | | 图书封面 |  | | 影响因子 | .This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.. | | Pindex | Book 2017 |
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发表于 2025-3-21 17:22:08
