This book contains the invited lectures and a short account of communications at the II Granada Lectures which focused on Dynamical Systems. Key concepts such as dissipative dynamical systems, orbits, bifurcations, classical Hamiltonian chaos, KAM theorem, hyperbolic sets, time series analysis, renormalization group, quantum chaos and their applications were covered during the seminar. In addition, popular topics in computational statistical physics such as models of growth, material physics, fluids, nonequilibrium phase transitions, critical phenomena and computational astrophysics were also discussed. Written pedagogically at the graduate level, the topics were described comprehensively and supported by illustrations. This book is useful for beginners and a valuable reference for professionals in this field.
Contents:
- Applications of Dynamical Systems to the Statistical Analysis of Time Series (J Cabrera)
- Introduction to the Theory of Computational Dynamics (R de la Llave)
- Introduction to K.A.M. Theory (R de la Llave)
- Stability and Chaos in Classsical and Quantum Hamiltonian Systems (H R Jauslin)
- Nonequilibrium Ordering and Critical Phenomena in Lattice Systems (J Marro et al.)
- Laplacian Growth and Diffusion Limited Aggregation (J F Fernández)
- Integral Equations for Fluids: Critical Phenomena (L F Rull)
- Modelling of Mechanical Properties of Advanced Materials (J L Vallés)
- A Problem in Computational Astrophysics: Order in the Orientation of Galaxies (E Battaner)
- On the Structure of Quasars (E Pérez et al.)
- and other papers
Readership: Physicists, chemists and computer scientists.
