Domain structured dynamics : (Record no. 82838)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 05553nam a2200709 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780750335072 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IOP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230516170236.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210901s2021 enka fob 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750335072 |
| Qualifying information | ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750335065 |
| Qualifying information | mobi |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750335058 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750335089 |
| Qualifying information | myPrint |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1088/978-0-7503-3507-2 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNVSL)thg00082584 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1266548340 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CaBNVSL |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | CaBNVSL |
| Modifying agency | CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | Q172.5.C45 |
| Item number | A454 2021eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 003/.857 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Akhmet, Marat, |
| Relator term | author. |
| 9 (RLIN) | 70437 |
| 245 10 - TITLE STATEMENT | |
| Title | Domain structured dynamics : |
| Remainder of title | unpredictability, chaos, randomness, fractals, differential equations and neural networks / |
| Statement of responsibility, etc. | Marat Akhmet. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |
| Name of producer, publisher, distributor, manufacturer | IOP Publishing, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2021] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (various pagings) : |
| Other physical details | illustrations (some color). |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | electronic |
| Source | isbdmedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | [IOP release $release] |
| 490 1# - SERIES STATEMENT | |
| Series statement | IOP ebooks. [2021 collection] |
| 500 ## - GENERAL NOTE | |
| General note | "Version: 202108"--Title page verso. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. Domain structured dynamics : theory -- 3.1. Basic definitions and theorems -- 3.2. Hyperbolic chaos -- 3.3. Modular chaos -- 3.4. Abstract fractals -- 3.5. Notes |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. Domain structured dynamics : applications -- 4.1. Theoretical preliminaries -- 4.2. Chaotic finite-dimensional cubes -- 4.3. Similarity through Fatou-Julia iterations -- 4.4. Conservative-progressive growth -- 4.5. Domain structured dynamics in fractals -- 4.6. Notes |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | part III. Random processes. 5. Randomness with similarity dynamics -- 5.1. The basics of abstract similarity -- 5.2. Unpredictability in Bernoulli schemes -- 5.3. Random unpredictable functions -- 5.4. Unpredictable strings -- 5.5. Abstract similarity chaos in Markov chains -- 5.6. Modular chaos in random processes |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | part IV. Non-autonomous differential equations. 6. Unpredictability in differential equations -- 6.1. Preliminaries -- 6.2. Strongly unpredictable solutions -- 6.3. Unpredictable solutions -- 6.4. Examples -- 6.5. Notes |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | part V. Neural networks. 7. Unpredictable oscillations of neural networks -- 7.1. SICNNs with strongly unpredictable oscillations -- 7.2. Inertial neural networks with unpredictable oscillations -- 7.3. Notes. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | part I. Introduction. 1. What this book is about -- 1.1. Unpredictability -- 1.2. Domain structured dynamics -- 1.3. Random processes -- 1.4. Abstract fractals -- 1.5. Differential equations -- 1.6. Neural networks |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | part II. Chaos and fractals. 2. Unpredictability implies chaos -- 2.1. Unpredictability in dynamics -- 2.2. Unpredictable functions -- 2.3. Notes |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | Domain structured dynamics introduces a way for analysis of chaos in fractals, neural networks and random processes. It starts with newly invented abstract similarity sets and maps, which are in the basis of the abstract similarity dynamics. Then a labeling procedure is designed to determine the domain structured dynamics. The results follow the Pythagorean doctrine, considering finite number of indices for the labeling, with potential to become universal in future. The immediate power of the approach for fractals as domains of chaos, revisited famous deterministic and stochastic models, new types of differential equations and neural networks is seen in the book. This is not considered through widening areas, where the notions can be seen and recognized, but by deepening abstraction. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | Specialists in nonlinear dynamics, differential and discrete equations, chaos theory, fractal geometry and applications. Engineers, experts in industrial development of all kinds: electronics, chemistry, mechanics, control and optimization. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| 545 ## - BIOGRAPHICAL OR HISTORICAL DATA | |
| Biographical or historical data | Dr. Marat Akhmet is currently a Professor at Department of Mathematics, METU, Ankara, Turkey. He received his PhD in differential equations and mathematical physics at Kiev State University, Ukraine. Marat Akhmet's research focuses on the dynamical models and differential equations. He has published seven books and more than a hundred and fifty scientific papers. In the last several years, he has been investigating dynamics of neural networks, periodic, almost periodic and unpredictable motions, stability, chaos, and fractals. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Title from PDF title page (viewed on September 1, 2021). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Chaotic behavior in systems. |
| 9 (RLIN) | 4594 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Dynamics. |
| 9 (RLIN) | 70438 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Nonlinear theories. |
| 9 (RLIN) | 3339 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Difference equations. |
| 9 (RLIN) | 15445 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fractals. |
| 9 (RLIN) | 10012 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical physics. |
| Source of heading or term | bicssc |
| 9 (RLIN) | 11013 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics and computation. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 70439 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Institute of Physics (Great Britain), |
| Relator term | publisher. |
| 9 (RLIN) | 11622 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780750335058 |
| -- | 9780750335089 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP (Series). |
| Name of part/section of a work | Release 21. |
| 9 (RLIN) | 70440 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP ebooks. |
| Name of part/section of a work | 2021 collection. |
| 9 (RLIN) | 70441 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://iopscience.iop.org/book/978-0-7503-3507-2">https://iopscience.iop.org/book/978-0-7503-3507-2</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
No items available.