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| 003 - CONTROL NUMBER IDENTIFIER |
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| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151444.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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100907s2010 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441965813 |
|
978-1-4419-6581-3 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA313 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.39 |
| Edition number |
23 |
|
|---|
| Classification number |
515.48 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York : |
| -- |
Imprint: Springer, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Akhmet, Marat. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Principles of Discontinuous Dynamical Systems |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Marat Akhmet. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 180p. 40 illus., 20 illus. in color. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Description of the System with Fixed Moments of Impulses and Its Solutions -- Stability and Periodic Solutions of Systems with Fixed Moments of Impulses -- Basics of Linear Systems -- Nonautonomous Systems with Variable Moments of Impulses -- Differentiability Properties of Nonautonomous Systems -- Periodic Solutions of Nonlinear Systems -- Discontinuous Dynamical Systems -- Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle -- Chaos and Shadowing. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest. Principles of Discontinuous Dynamical Systems is devoted to the theory of differential equations with variable moments of impulses. It introduces a new strategy of implementing an equivalence to systems whose solutions have prescribed moments of impulses and utilizing special topologies in spaces of piecewise continuous functions. The achievements obtained on the basis of this approach are described in this book. The text progresses systematically, by covering preliminaries in the first four chapters. This is followed by more complex material and special topics such as Hopf bifurcation, Devaney's chaos, and the shadowing property are discussed in the last two chapters. This book is suitable for researchers and graduate students in mathematics and also in diverse areas such as biology, computer science, and engineering who deal with real world problems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
|
|---|
| Topical term or geographic name as entry element |
Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Differential equations, partial. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Dynamical Systems and Ergodic Theory. |
|
|---|
| Topical term or geographic name as entry element |
Ordinary Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Partial Differential Equations. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781441965806 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-6581-3 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
