Il Tuo Carrello è vuoto
Dynamics Beyond Uniform Hyperbolicity - Christian Bonatti - Springer, 2010
- Codice prodotto: 255564927545
- DISPONIBILITÀ: In Stock
- Prezzo: 208,00€
QUANTITÀ:
Dynamics Beyond Uniform Hyperbolicity
A Global Geometric and Probabilistic Perspective
di Christian Bonatti, Lorenzo J. Díaz, Marcelo Viana
Editore: Springer Berlin Heidelberg
EAN: 9783642060410
ISBN: 3642060412
Pagine: 404
Formato: Paperback
What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n < m. For continuous time systems, the evolution rule may be a differential eq- tion: to each state x G M one associates the speed and direction in which the system is going to evolve from that state. This corresponds to a vector field X(x) in the phase space. Assuming the vector field is sufficiently regular, for instance continuously differentiable, there exists a unique curve tangent to X at every point and passing through x: we call it the orbit of x.
A Global Geometric and Probabilistic Perspective
di Christian Bonatti, Lorenzo J. Díaz, Marcelo Viana
Editore: Springer Berlin Heidelberg
EAN: 9783642060410
ISBN: 3642060412
Pagine: 404
Formato: Paperback
What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n < m. For continuous time systems, the evolution rule may be a differential eq- tion: to each state x G M one associates the speed and direction in which the system is going to evolve from that state. This corresponds to a vector field X(x) in the phase space. Assuming the vector field is sufficiently regular, for instance continuously differentiable, there exists a unique curve tangent to X at every point and passing through x: we call it the orbit of x.
Scrivi una recensione
Nome:
La tua recensione:
Note: HTML non è tradotto!
Voto: Pessimo Buono
Inserisci il codice mostrato in figura:
