TY - BOOK ID - 77864438 TI - Geometric methods for discrete dynamical systems PY - 1998 VL - 50 SN - 1280442123 9786610442126 1423735234 0195359046 1601299494 9781423735236 9781601299499 9780195085457 0195085450 0195085450 0197727174 PB - New York ; Oxford, [England] : Oxford University Press, DB - UniCat KW - Differentiable dynamical systems. KW - Iterative methods (Mathematics) KW - Iteration (Mathematics) KW - Numerical analysis KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Dynamique différentiable KW - Itération (Mathématiques) UR - https://www.unicat.be/uniCat?func=search&query=sysid:77864438 AB - This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book wi ER -