Nonlinear Differential Equations and Dynamical Systems (Record no. 73374)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03459cam a2200481Mi 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429028991 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220531132520.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191110s2020 flu o 000 0 eng d |
| 040 ## - Cataloging Source | |
| -- | OCoLC-P |
| -- | eng |
| -- | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429028991 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429028997 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429642784 |
| -- | (electronic bk. : PDF) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429642784 |
| -- | (electronic bk. : PDF) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429639616 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429639619 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429636448 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 042963644X |
| -- | (electronic bk. : Mobipocket) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1126793361 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC-P)1126793361 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA372 |
| 072 #7 - | |
| -- | MAT |
| -- | 003000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | MAT |
| -- | 007000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | MED |
| -- | 000000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | TBJ |
| -- | bicssc |
| 082 04 - | |
| -- | 515/.355 |
| -- | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Campos, Luis Manuel Braga da Costa, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Nonlinear Differential Equations and Dynamical Systems |
| Medium | [electronic resource]. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Boca Raton, FL : |
| Name of publisher, distributor, etc. | CRC Press, |
| Date of publication, distribution, etc. | 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 490 1# - | |
| -- | Mathematics and physics for science and technology ; |
| -- | book 5 |
| 520 ## - | |
| -- | Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set). The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials. The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions. Presents general first-order differential equations including non-linear like the Ricatti equation Discusses differentials of the first or higher order in two or more variables Includes discretization of differential equations as finite difference equations Describes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methods Examines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions |
| 588 ## - | |
| -- | OCLC-licensed vendor bibliographic record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Nonlinear. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differentiable dynamical systems. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Applied |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Differential Equations |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MEDICAL / General |
| Source of heading or term | bisacsh |
| 856 40 - | |
| -- | Taylor & Francis |
| -- | https://www.taylorfrancis.com/books/9780429028991 |
| 856 42 - | |
| -- | OCLC metadata license agreement |
| -- | http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
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