Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Random Perturbations of Dynamical Systems
.
Bookmark this Record
Catalogue Record 42886
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 42886
.
Reviews
Catalogue Record 42886
.
British Library
Resolver for RSN-42886
Google Scholar
Resolver for RSN-42886
WorldCat
Resolver for RSN-42886
Catalogo Nazionale SBN
Resolver for RSN-42886
GoogleBooks
Resolver for RSN-42886
ICTP Library
Resolver for RSN-42886
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Random Perturbations of Dynamical Systems ([EBook]) / by Yuri Kifer.
Author
Kifer, Yuri. , 1948-
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Birkhäuser , 1988.
Physical Details
VIII, 294 p. : online resource.
Series
Progress in probability and statistics
; 16
ISBN
9781461581819
Summary Note
Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin with choosing properties which are not very sensitive to small changes in the model, and so may be viewed as properties of the real process. In particular, this concerns real processes which can be described by means of ordinary differential equations. By this reason different notions of stability played an important role in the qualitative theory of ordinary differential equations commonly known nowdays as the theory of dynamical systems. Since physical processes are usually affected by an enormous number of small external fluctuations whose resulting action would be natural to consider as random, the stability of dynamical systems with respect to random perturbations comes into the picture. There are differences between the study of stability properties of single trajectories, i. e. , the Lyapunov stability, and the global stability of dynamical systems. The stochastic Lyapunov stability was dealt with in Hasminskii [Has]. In this book we are concerned mainly with questions of global stability in the presence of noise which can be described as recovering parameters of dynamical systems from the study of their random perturbations. The parameters which is possible to obtain in this way can be considered as stable under random perturbations, and so having physical sense. -1- Our set up is the following.:
Contents note
I. General analysis of random perturbations -- 1.1. Convergence of invariant measures -- 1.2. Entropy via random perturbations: generalities -- 1.3. Locating invariant sets -- 1.4. Attractors and limiting measures -- 1.5. Attractors and limiting measures via large deviations -- II. Random perturbations of hyperbolic and expanding transformations -- 2.1. Preliminaries -- 2.2. Markov chains in tangent bundles -- 2.3. Hyperbolic and expanding transformations -- 2.4. Limiting measures -- 2.5. Sinai-Bowen-Ruelle’s measures. Discussion. -- 2.6. Entropy via random perturbations -- 2.7. Stability of the topological pressure -- 2.8. Appendix: proof of (1.12) -- III. Applications to partial differential equations -- 3.1. Principal eigenvalue and invariant sets -- 3.2. Localization theorem -- 3.3. Random perturbations and spectrum -- IV. Random perturbations of some special models -- 4.1. Random perturbations of one-dimensional transformations -- 4.2. Misiurewicz’s maps of an interval -- 4.3. Lorenz’s type models.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4615-8181-9
Links to Related Works
Subject References:
Differentiable dynamical systems
.
Dynamical Systems
.
Ergodic theory
.
Mathematical Methods in Physics
.
Partial differential equations
.
Perturbation (Mathematics)
.
Probability theory and stochastic processes
.
Statistical Physics
.
Stochastic Processes
.
Authors:
Kifer, Yuri. 1948-
.
Kifer, Yuri, 1948-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Progress in probability and statistics
.
Classification:
519.2
.
.
ISBD Display
Catalogue Record 42886
.
Tag Display
Catalogue Record 42886
.
Related Works
Catalogue Record 42886
.
Marc XML
Catalogue Record 42886
.
Add Title to Basket
Catalogue Record 42886
.
Catalogue Information 42886
Beginning of record
.
Catalogue Information 42886
Top of page
.
Download Title
Catalogue Record 42886
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
42886
1
42886
-
2
42886
-
3
42886
-
4
42886
-
5
42886
-
Quick Search
Search for