Frequency Methods in Oscillation Theory

Leonov, Gennadii Alekseevich, and Burkin, I M, and Shepeljavyi, A I

Published by Kluwer Academic Publishers, 1995
ISBN 10: 0792338960 / ISBN 13: 9780792338963
Used / Hardcover / Quantity Available: 0
Available From More Booksellers
View all  copies of this book

About the Book

We're sorry; this specific copy is no longer available. AbeBooks has millions of books. We've listed similar copies below.

Description:

Sewn binding. Cloth over boards. 416 p. Developments in Plant Pathology, 357. Audience: General/trade. 0.0. Bookseller Inventory #

About this title:

Book ratings provided by Goodreads:
0 avg rating
(0 ratings)

Synopsis: This book is devoted to nonlocal theory of nonlinear oscillations. The frequency methods of investigating problems of cycle existence in multidimensional analogues of Van der Pol equation, in dynamical systems with cylindrical phase space and dynamical systems satisfying Routh-Hurwitz generalized conditions are systematically presented here for the first time.
To solve these problems methods of Poincaré map construction, frequency methods, synthesis of Lyapunov direct methods and bifurcation theory elements are applied. V.M. Popov's method is employed for obtaining frequency criteria, which estimate period of oscillations. Also, an approach to investigate the stability of cycles based on the ideas of Zhukovsky, Borg, Hartmann, and Olech is presented, and the effects appearing when bounded trajectories are unstable are discussed. For chaotic oscillations theorems on localizations of attractors are given. The upper estimates of Hausdorff measure and dimension of attractors generalizing Doudy-Oesterle and Smith theorems are obtained, illustrated by the example of a Lorenz system and its different generalizations.
The analytical apparatus developed in the book is applied to the analysis of oscillation of various control systems, pendulum-like systems and those of synchronization.
Audience: This volume will be of interest to those whose work involves Fourier analysis, global analysis, and analysis on manifolds, as well as mathematics of physics and mechanics in general. A background in linear algebra and differential equations is assumed.

Language Notes: Text: English (translation)
Original Language: Russian

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

Bibliographic Details

Title: Frequency Methods in Oscillation Theory
Publisher: Kluwer Academic Publishers
Publication Date: 1995
Binding: Hardcover
Book Condition: Very Good

Top Search Results from the AbeBooks Marketplace

1.

Leonov, Gennady, Burkin, I.M., Shepeljavyi, A.I.
Published by Springer (1995)
ISBN 10: 0792338960 ISBN 13: 9780792338963
Used Quantity Available: 1
Seller
Better World Books Ltd
(Dunfermline, United Kingdom)
Rating
[?]

Book Description Springer, 1995. Book Condition: Very Good. 1996th Edition. N/A. Ships from the UK. Former Library book. Great condition for a used book! Minimal wear. Bookseller Inventory # GRP91034224

More Information About This Seller | Ask Bookseller a Question

Buy Used
US$ 104.49
Convert Currency

Add to Basket

Shipping: US$ 3.82
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

G.A. LEONOV
Published by Springer (1995)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Hardcover Quantity Available: 10
Seller
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 1995. Hardback. Book Condition: NEW. 9780792338963 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0280523

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 108.22
Convert Currency

Add to Basket

Shipping: US$ 10.25
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Gennady A. Leonov, I.M. Burkin, A.I. Shepeljavyi
Published by Kluwer Academic Publishers, United States (1996)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Hardcover Quantity Available: 10
Seller
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, United States, 1996. Hardback. Book Condition: New. 1996 ed.. 236 x 168 mm. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The linear theory of oscillations traditionally operates with frequency representa- tions based on the concepts of a transfer function and a frequency response. The universality of the critria of Nyquist and Mikhailov and the simplicity and obvi- ousness of the application of frequency and amplitude - frequency characteristics in analysing forced linear oscillations greatly encouraged the development of practi- cally important nonlinear theories based on various forms of the harmonic balance hypothesis [303]. Therefore mathematically rigorous frequency methods of investi- gating nonlinear systems, which appeared in the 60s, also began to influence many areas of nonlinear theory of oscillations. First in this sphere of influence was a wide range of problems connected with multidimensional analogues of the famous van der Pol equation describing auto- oscillations of generators of various radiotechnical devices. Such analogues have as a rule a unique unstable stationary point in the phase space and are Levinson dis- sipative. One of the pioneering works in this field, which started the investigation of a three-dimensional analogue of the van der Pol equation, was K. O.Friedrichs s paper [123]. The author suggested a scheme for constructing a positively invariant set homeomorphic to a torus, by means of which the existence of non-trivial periodic solutions was established. That scheme was then developed and improved for dif- ferent classes of multidimensional dynamical systems [131, 132, 297, 317, 334, 357, 358]. The method of Poincare mapping [12, 13, 17] in piecewise linear systems was another intensively developed direction. Bookseller Inventory # LIE9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 122.02
Convert Currency

Add to Basket

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

4.

G.A. Leonov; I.M. Burkin; A.I. Shepeljavyi
Published by Springer (1995)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Hardcover Quantity Available: 15
Print on Demand
Seller
Rating
[?]

Book Description Springer, 1995. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 141.09
Convert Currency

Add to Basket

Shipping: US$ 2.26
From Germany to U.S.A.
Destination, Rates & Speeds

5.

G. A. Leonov
Published by Kluwer Academic Publishers (1995)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Quantity Available: > 20
Print on Demand
Seller
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, 1995. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 139.26
Convert Currency

Add to Basket

Shipping: US$ 11.53
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

ISBN 10: 0792338960 ISBN 13: 9780792338963
New Quantity Available: > 20
Print on Demand
Seller
BWB
(Valley Stream, NY, U.S.A.)
Rating
[?]

Book Description Book Condition: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Bookseller Inventory # POD_9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 145.32
Convert Currency

Add to Basket

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

7.

Leonov, G.A.; Burkin, I.M.; Shepeljavyi, A.I.
Published by Springer (1995)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Hardcover Quantity Available: 10
Print on Demand
Seller
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 1995. Hardcover. Book Condition: New. This item is printed on demand. Bookseller Inventory # INGM9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 142.57
Convert Currency

Add to Basket

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

8.

Gennady A. Leonov, I.M. Burkin, A.I. Shepeljavyi
Published by Kluwer Academic Publishers, United States (1996)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Hardcover Quantity Available: 10
Print on Demand
Seller
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, United States, 1996. Hardback. Book Condition: New. 1996 ed.. 236 x 168 mm. Language: English . Brand New Book ***** Print on Demand *****. The linear theory of oscillations traditionally operates with frequency representa- tions based on the concepts of a transfer function and a frequency response. The universality of the critria of Nyquist and Mikhailov and the simplicity and obvi- ousness of the application of frequency and amplitude - frequency characteristics in analysing forced linear oscillations greatly encouraged the development of practi- cally important nonlinear theories based on various forms of the harmonic balance hypothesis [303]. Therefore mathematically rigorous frequency methods of investi- gating nonlinear systems, which appeared in the 60s, also began to influence many areas of nonlinear theory of oscillations. First in this sphere of influence was a wide range of problems connected with multidimensional analogues of the famous van der Pol equation describing auto- oscillations of generators of various radiotechnical devices. Such analogues have as a rule a unique unstable stationary point in the phase space and are Levinson dis- sipative. One of the pioneering works in this field, which started the investigation of a three-dimensional analogue of the van der Pol equation, was K. O.Friedrichs s paper [123]. The author suggested a scheme for constructing a positively invariant set homeomorphic to a torus, by means of which the existence of non-trivial periodic solutions was established. That scheme was then developed and improved for dif- ferent classes of multidimensional dynamical systems [131, 132, 297, 317, 334, 357, 358]. The method of Poincare mapping [12, 13, 17] in piecewise linear systems was another intensively developed direction. Bookseller Inventory # APC9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 148.23
Convert Currency

Add to Basket

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

9.

Leonov, Gennady
Published by Springer (2016)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Paperback Quantity Available: 1
Print on Demand
Seller
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780792338963_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 148.87
Convert Currency

Add to Basket

Shipping: US$ 4.96
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Gennady A. Leonov, I.M. Burkin, A.I. Shepeljavyi
Published by Kluwer Academic Publishers, United States (1996)
ISBN 10: 0792338960 ISBN 13: 9780792338963
New Hardcover Quantity Available: 10
Print on Demand
Seller
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, United States, 1996. Hardback. Book Condition: New. 1996 ed.. 236 x 168 mm. Language: English . Brand New Book ***** Print on Demand *****.The linear theory of oscillations traditionally operates with frequency representa- tions based on the concepts of a transfer function and a frequency response. The universality of the critria of Nyquist and Mikhailov and the simplicity and obvi- ousness of the application of frequency and amplitude - frequency characteristics in analysing forced linear oscillations greatly encouraged the development of practi- cally important nonlinear theories based on various forms of the harmonic balance hypothesis [303]. Therefore mathematically rigorous frequency methods of investi- gating nonlinear systems, which appeared in the 60s, also began to influence many areas of nonlinear theory of oscillations. First in this sphere of influence was a wide range of problems connected with multidimensional analogues of the famous van der Pol equation describing auto- oscillations of generators of various radiotechnical devices. Such analogues have as a rule a unique unstable stationary point in the phase space and are Levinson dis- sipative. One of the pioneering works in this field, which started the investigation of a three-dimensional analogue of the van der Pol equation, was K. O.Friedrichs s paper [123]. The author suggested a scheme for constructing a positively invariant set homeomorphic to a torus, by means of which the existence of non-trivial periodic solutions was established. That scheme was then developed and improved for dif- ferent classes of multidimensional dynamical systems [131, 132, 297, 317, 334, 357, 358]. The method of Poincare mapping [12, 13, 17] in piecewise linear systems was another intensively developed direction. Bookseller Inventory # APC9780792338963

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 154.49
Convert Currency

Add to Basket

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

There are 5 more copies of this book

View all search results for this book