0
Your cart

Your cart is empty

Browse All Departments
  • All Departments
Price
  • R2,500 - R5,000 (2)
  • -
Status
Brand

Showing 1 - 2 of 2 matches in All Departments

Random Perturbations of Dynamical Systems (Paperback, 3rd ed. 2012): Mark I. Freidlin Random Perturbations of Dynamical Systems (Paperback, 3rd ed. 2012)
Mark I. Freidlin; Translated by J. Szucs; Alexander D Wentzell
R3,527 Discovery Miles 35 270 Ships in 10 - 15 working days

Many notions and results presented in the previous editions of this volume have since become quite popular in applications, and many of them have been "rediscovered" in applied papers. In the present 3rd edition small changes were made to the chapters in which long-time behavior of the perturbed system is determined by large deviations. Most of these changes concern terminology. In particular, it is explained that the notion of sub-limiting distribution for a given initial point and a time scale is identical to the idea of metastability, that the stochastic resonance is a manifestation of metastability, and that the theory of this effect is a part of the large deviation theory. The reader will also find new comments on the notion of quasi-potential that the authors introduced more than forty years ago, and new references to recent papers in which the proofs of some conjectures included in previous editions have been obtained. Apart from the above mentioned changes the main innovations in the 3rd edition concern the averaging principle. A new Section on deterministic perturbations of one-degree-of-freedom systems was added in Chapter 8. It is shown there that pure deterministic perturbations of an oscillator may lead to a stochastic, in a certain sense, long-time behavior of the system, if the corresponding Hamiltonian has saddle points. The usefulness of a joint consideration of classical theory of deterministic perturbations together with stochastic perturbations is illustrated in this section. Also a new Chapter 9 has been inserted in which deterministic and stochastic perturbations of systems with many degrees of freedom are considered. Because of the resonances, stochastic regularization in this case is even more important.

Random Perturbations of Dynamical Systems (Hardcover, 3rd ed. 2012): Mark I. Freidlin Random Perturbations of Dynamical Systems (Hardcover, 3rd ed. 2012)
Mark I. Freidlin; Translated by J. Szucs; Alexander D Wentzell
R3,560 Discovery Miles 35 600 Ships in 10 - 15 working days

Many notions and results presented in the previous editions of this volume have since become quite popular in applications, and many of them have been "rediscovered" in applied papers.
In the present 3rd edition small changes were made to the chapters in which long-time behavior of the perturbed system is determined by large deviations. Most of these changes concern terminology. In particular, it is explained that the notion of sub-limiting distribution for a given initial point and a time scale is identical to the idea of metastability, that the stochastic resonance is a manifestation of metastability, and that the theory of this effect is a part of the large deviation theory. The reader will also find new comments on the notion of quasi-potential that the authors introduced more than forty years ago, and new references to recent papers in which the proofs of some conjectures included in previous editions have been obtained.
Apart from the above mentioned changes the main innovations in the 3rd edition concern the averaging principle. A new Section on deterministic perturbations of one-degree-of-freedom systems was added in Chapter 8. It is shown there that pure deterministic perturbations of an oscillator may lead to a stochastic, in a certain sense, long-time behavior of the system, if the corresponding Hamiltonian has saddle points. The usefulness of a joint consideration of classical theory of deterministic perturbations together with stochastic perturbations is illustrated in this section. Also a new Chapter 9 has been inserted in which deterministic and stochastic perturbations of systems with many degrees of freedom are considered. Because of the resonances, stochastic regularization in this case is even more important."

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Croxley CREATE Fibre Tip Khokis (12…
R43 Discovery Miles 430
Gloria
Sam Smith CD R407 Discovery Miles 4 070
Docking Edition Multi-Functional…
 (1)
R899 R500 Discovery Miles 5 000
Mexico In Mzansi
Aiden Pienaar Paperback R360 R255 Discovery Miles 2 550
Treeline Tennis Balls (Pack of 3)
R59 R49 Discovery Miles 490
Mellerware Plastic Oscilating Floor Fan…
 (2)
R549 R439 Discovery Miles 4 390
The Walking Dead - Season 1 / 2 / 3 / 4
Andrew Lincoln Blu-ray disc  (1)
R288 Discovery Miles 2 880
STEM Activity: Sensational Science
Steph Clarkson Paperback  (4)
R256 R211 Discovery Miles 2 110
Bostik Glu Dots - Removable (64 Dots)
 (3)
R55 Discovery Miles 550
Samsung EO-IA500BBEGWW Wired In-ear…
R299 R199 Discovery Miles 1 990

 

Partners