Random Dynamical Systems (Springer Monographs in Mathematics)

3.5 avg rating
( 2 ratings by Goodreads )
 
9783540637585: Random Dynamical Systems (Springer Monographs in Mathematics)

The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.

"synopsis" may belong to another edition of this title.

From the Back Cover:

This book is the first systematic presentation of the theory of random dynamical systems, i.e. of dynamical systems under the influence of some kind of randomness. The theory comprises products of random mappings as well as random and stochastic differential equations. The author's approach is based on Oseledets'multiplicative ergodic theorem for linear random systems, for which a detailed proof is presented. This theorem provides us with a random substitute of linear algebra and hence can serve as the basis of a local theory of nonlinear random systems. In particular, global and local random invariant manifolds are constructed and their regularity is proved. Techniques for simplifying a system by random continuous or smooth coordinate tranformations are developed (random Hartman-Grobman theorem, random normal forms). Qualitative changes in families of random systems (random bifurcation theory) are also studied. A dynamical approach is proposed which is based on sign changes of Lyapunov exponents and which extends the traditional phenomenological approach based on the Fokker-Planck equation. Numerous instructive examples are treated analytically or numerically. The main intention is, however, to present a reliable and rather complete source of reference which lays the foundations for future works and applications.

Review:

"Ludwig Arnold's monograph is going to make a very big impact for many years to come."
DMV Jahresbericht, 103. Band, Heft 2, July 2001

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Ludwig Arnold
Published by Springer (2003)
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Springer, 2003. Hardcover. Book Condition: New. book. Bookseller Inventory # M3540637583

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 62.32
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Arnold, Ludwig
Published by Springer
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 4
Seller:
Diafan Media
(Geneva, IL, U.S.A.)
Rating
[?]

Book Description Springer. Hardcover. Book Condition: New. 3540637583 New Condition *** Right Off the Shelf | Ships within 2 Business Days ~~~ Customer Service Is Our Top Priority! - Thank you for LOOKING :-). Bookseller Inventory # 2BOOK3P325393

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 69.78
Convert Currency

Add to Basket

Shipping: US$ 4.95
Within U.S.A.
Destination, Rates & Speeds

3.

Ludwig Arnold
Published by Springer (2003)
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2003. Hardcover. Book Condition: New. Bookseller Inventory # DADAX3540637583

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 80.09
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

4.

Ludwig Arnold
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Quantity Available: 1
Seller:
Speedy Hen LLC
(Sunrise, FL, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # ST3540637583. Bookseller Inventory # ST3540637583

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 112.81
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

5.

Ludwig Arnold
Published by Springer Berlin Heidelberg 1998-08-19, Berlin |London (1998)
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 10
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer Berlin Heidelberg 1998-08-19, Berlin |London, 1998. hardback. Book Condition: New. Bookseller Inventory # 9783540637585

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 116.02
Convert Currency

Add to Basket

Shipping: US$ 7.92
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Arnold, Ludwig
Published by Springer (2003)
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 1
Rating
[?]

Book Description Springer, 2003. Book Condition: New. A presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differential equations. It treats numerous instructive examples analytically or numerically. Series: Springer Monographs in Mathematics. Num Pages: 601 pages, biography. BIC Classification: PBKJ; PBKL; PBWS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 33. Weight in Grams: 1028. . 2003. Hardcover. . . . . . Bookseller Inventory # V9783540637585

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 136.20
Convert Currency

Add to Basket

Shipping: FREE
From Ireland to U.S.A.
Destination, Rates & Speeds

7.

Ludwig Arnold
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 1
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Hardback. Book Condition: New. Not Signed; The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for lin. book. Bookseller Inventory # ria9783540637585_rkm

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 133.09
Convert Currency

Add to Basket

Shipping: US$ 5.11
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Arnold, Ludwig
Published by Springer
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Hardcover Quantity Available: 1
Seller:
Kennys Bookstore
(Olney, MD, U.S.A.)
Rating
[?]

Book Description Springer. Book Condition: New. A presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differential equations. It treats numerous instructive examples analytically or numerically. Series: Springer Monographs in Mathematics. Num Pages: 601 pages, biography. BIC Classification: PBKJ; PBKL; PBWS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 33. Weight in Grams: 1028. . 2003. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9783540637585

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 139.38
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

9.

Ludwig Arnold
Published by Springer 1998-08-19 (1998)
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Quantity Available: 2
Seller:
Chiron Media
(Wallingford, United Kingdom)
Rating
[?]

Book Description Springer 1998-08-19, 1998. Book Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-LBR-00730053

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 136.49
Convert Currency

Add to Basket

Shipping: US$ 3.95
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Ludwig Arnold
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (1998)
ISBN 10: 3540637583 ISBN 13: 9783540637585
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 1998. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9783540637585

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 139.54
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book