000 02322 a2200265 4500
008 250115b2010 si ||||| |||| 00| 0 eng d
020 _a9789813203587 (PB)
041 _aeng
080 _a531/534.01
_bCEN
100 _aCencini, Massimo.
245 _aChaos
_b: from simple models to complex systems
260 _aSingapore
_bWorld Scientific
_c2010
300 _axx, 460p.
_bill.
490 _aSeries on advances in statistical mechanics
_v17
500 _aIncludes Index
504 _aIncludes bibliography (p. 427-454) and references
505 _a1 First Encounter with Chaos 2 The Language of Dynamical Systems 3 Examples of Chaotic Behaviors 4 Probabilistic Approach to Chaos 5 Characterization of Chaotic Dynamical Systems 6 From Order to Chaos in Dissipative Systems 7 Chaos in Hamiltonian Systems 8 Chaos and Information Theory 9 Coarse-Grained Information and Large Scale Predictability 10 Chaos in Numerical and Laboratory Experiments 11 Chaos in Low Dimensional Systems 12 Spatiotemporal Chaos 13 Turbulence as a Dynamical System Problem 14 Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study
520 _aChaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations.
650 _aDynamics
650 _aKinetics
690 _aPhysics
700 _aCecconi, Fabio.
700 _aVulpiani, Angelo.
942 _cBK
999 _c60695
_d60695