Dynamics of Coupled Map Lattices and of Related Spatially by Jean-René Chazottes, Bastien Fernandez

By Jean-René Chazottes, Bastien Fernandez

This publication is ready the dynamics of coupled map lattices (CML) and of comparable spatially prolonged structures. will probably be helpful to post-graduate scholars and researchers looking an summary of the state of the art and of open difficulties during this sector of nonlinear dynamics. The certain characteristic of this ebook is that it describes the (mathematical) concept of CML and a few similar structures and their phenomenology, with a few examples of CML modeling of concrete platforms (from physics and biology). extra accurately, the ebook bargains with statistical homes of (weakly) coupled chaotic maps, geometric elements of (chaotic) CML, monotonic spatially prolonged platforms, and dynamical versions of particular organic systems.

Show description

Read or Download Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems PDF

Best mathematical physics books

An Introduction to Chaos in Nonequilibrium Statistical Mechanics

This ebook is an creation to the functions in nonequilibrium statistical mechanics of chaotic dynamics, and likewise to using strategies in statistical mechanics very important for an realizing of the chaotic behaviour of fluid platforms. the elemental thoughts of dynamical platforms conception are reviewed and easy examples are given.

Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics

"José Ferreirós has written a magisterial account of the historical past of set idea that is panoramic, balanced, and interesting. not just does this e-book synthesize a lot earlier paintings and supply clean insights and issues of view, however it additionally includes a significant innovation, a full-fledged therapy of the emergence of the set-theoretic process in arithmetic from the early 19th century.

Computational Physics: Problem Solving with Python

Using computation and simulation has turn into an important a part of the clinical method. having the ability to rework a conception into an set of rules calls for major theoretical perception, certain actual and mathematical realizing, and a operating point of competency in programming. This upper-division textual content offers an surprisingly wide survey of the themes of contemporary computational physics from a multidisciplinary, computational technology standpoint.

Extra info for Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

Example text

Springer-Verlag, New York, 1994. S. G. Cowling, The Mathematical Theory of N on-uniform Gases. , Cambridge, 1990. H. Grad, Principles of the Kinetic Theory of Gases, In: Handbuch der Physik 12. Springer-Verlag, Berlin (1958), pp. 205 294. K. Hamdache, Quelques resultats pour {'equation de Boltzmann, C. R. Acad. Sci. Paris 1(299) (1984), pp. 431 434. , Initial boundary value problems for Boltzmann equation: Global existence of weak solutions, Arch. Rat. Mech. Anal, 119 (1992), pp. 309-353. R. Illner and M.

104 (1986), pp. 403-421. , Global Existence of Smooth Solutions to the Vlasov-Poisson System in Three Dimensions, Comm. , 16 (1991), pp. 1313-1335. C. Truesdell and R. Muncaster, Fundamentals of Maxwell kinetic theory of a simple monatomic gas (treated as a branch of rational continuum mechanics), Academic Press, New York, 1980. S. Ukai, Solutions of the Boltzmann Equation, Studies in Math. , 18 (1986), pp. 37-96. , On the Existence of Global Solutions of a mixed problem for the nonlinear Boltzmann equation, Proc.

H. Grad, Principles of the Kinetic Theory of Gases, In: Handbuch der Physik 12. Springer-Verlag, Berlin (1958), pp. 205 294. K. Hamdache, Quelques resultats pour {'equation de Boltzmann, C. R. Acad. Sci. Paris 1(299) (1984), pp. 431 434. , Initial boundary value problems for Boltzmann equation: Global existence of weak solutions, Arch. Rat. Mech. Anal, 119 (1992), pp. 309-353. R. Illner and M. Shinbrot, The Boltzmann Equation, global existence for a rare gas in an infinite vacuum, Coimn. Math. , 95 (1984), pp.

Download PDF sample

Rated 4.67 of 5 – based on 28 votes