Three-dimensional flows / Vítor Araújo, Maria José Pacifico
Type de document : Livre numériqueCollection : Ergebnisse der mathematik und ihrer grenzgebiete, 53Langue : anglais.Éditeur : Berlin : Springer, cop. 2010ISBN: 9783642114137.ISSN: 0071-1136.Sujet MSC : 37C10, Smooth dynamical systems: general theory, Dynamics induced by flows and semiflows37C20, Smooth dynamical systems: general theory, Generic properties, structural stability of dynamical systems
37C40, Smooth dynamical systems: general theory, Smooth ergodic theory, invariant measures for smooth dynamical systems
37C70, Smooth dynamical systems: general theory, Attractors and repellers and their topological structure
37D05, Dynamical systems with hyperbolic behavior, Dynamical systems with hyperbolic orbits and setsEn-ligne : Springerlink | MSN | zbMath
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This book deals with the general theory of flows on three-dimensional compact manifolds. The authors give the following definition for an attractor – a set of points whose forward trajectories remain inside a bounded region of space forever and such that all nearby trajectories converge to it. The motivation for this book is the recent establishment by Warwick Tucker of the existence of the Lorenz attractor rigorously with a computer-assisted proof. It is interesting that the Lorenz attractor for three dimensional systems is both chaotic and robust. ... (zbMath)
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