An introduction to the concepts and main tools for characterization of deterministic chaotic systems, with emphasis to statistical approaches. 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.
An introduction to the concepts and main tools for characterization of deterministic chaotic systems, with emphasis to statistical approaches. It focu...
Questo testo, che nasce dall'esperienza didattica degli autori, si propone di introdurre gli aspetti fondamentali della teoria della probabilita e dei processi stocastici, guardando con particolare attenzione alle connessioni con la meccanica statistica, il caos, le applicazioni modellistiche ed i metodi numerici. La prima parte e costituita da un'introduzione generale alla probabilita con particolare enfasi sulla probabilita condizionata, le densita marginali e i teoremi limite. Nella seconda parte, prendendo spunto dal moto Browniano, sono presentati i concetti fondamentali dei processi...
Questo testo, che nasce dall'esperienza didattica degli autori, si propone di introdurre gli aspetti fondamentali della teoria della probabilita e dei...
At the present moment, after the success of the renormalization group in providing a conceptual framework for studying second-order phase tran sitions, we have a nearly satisfactory understanding of the statistical me chanics of classical systems with a non-random Hamiltonian. The situation is completely different if we consider the theory of systems with a random Hamiltonian or of chaotic dynamical systems. The two fields are connected; in fact, in the latter the effects of deterministic chaos can be modelled by an appropriate stochastic process. Although many interesting results have been...
At the present moment, after the success of the renormalization group in providing a conceptual framework for studying second-order phase tran sitions...
Scientists have always attempted to explain the world in terms of a few unifying principles. In the fifth century B.C. Democritus boldly claimed that reality is simply a collection of indivisible and eternal parts or atoms. Over the centuries his doctrine has remained a landmark, and much progress in physics is due to its distinction between subjective perception and objective reality. This book discusses theory reduction in physics, which states that the whole is nothing more than the sum of its parts: the properties of things are directly determined by their constituent parts....
Scientists have always attempted to explain the world in terms of a few unifying principles. In the fifth century B.C. Democritus boldly claimed th...
La meccanica statistica (MS) nell'insegnamente universitario e' spesso confinata in una posizione itermedia tra le tre grandi aree della fisica teorica, la fisica della materia e la fisica matematica. In genere vengono discussi gli aspetti "pratici," di supporto alla fisica della materia, che pur importanti non esauriscono la rilevanza concettule della meccanica statistica. Esistono molti ottimi libri (Huang, Landau-Lifsits, Chandler, Peliti etc) che trattano in modo dettagliato gli aspetti tecnici della meccanica statistica. Lo scopo del nostro libro non e' quello di presentare metodi...
La meccanica statistica (MS) nell'insegnamente universitario e' spesso confinata in una posizione itermedia tra le tre grandi aree della fisica teoric...
Scientists have always attempted to explain the world in terms of a few unifying principles. In the fifth century B.C. Democritus boldly claimed that reality is simply a collection of indivisible and eternal parts or atoms. Over the centuries his doctrine has remained a landmark, and much progress in physics is due to its distinction between subjective perception and objective reality. This book discusses theory reduction in physics, which states that the whole is nothing more than the sum of its parts: the properties of things are directly determined by their constituent parts....
Scientists have always attempted to explain the world in terms of a few unifying principles. In the fifth century B.C. Democritus boldly claimed th...
Chaos: 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...
Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical exampl...
