Towards Analytical Chaotic Evolutions in Brusselators (Record no. 85342)
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| 000 -LEADER | |
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| fixed length control field | 04041nam a22005655i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-79661-6 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240730164137.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220601s2020 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031796616 |
| -- | 978-3-031-79661-6 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620 |
| 100 1# - AUTHOR NAME | |
| Author | Luo, Albert C.J. |
| 245 10 - TITLE STATEMENT | |
| Title | Towards Analytical Chaotic Evolutions in Brusselators |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIII, 94 p. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Synthesis Lectures on Mechanical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Preface -- Introduction -- Generalized Harmonic Balance Method -- Analytical Periodic Evolutions -- Analytical Routes to Chaotic Evolutions -- Independent Periodic Evolutions -- Production and Compensation -- References -- Authors' Biographies. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles. The dynamics of the Brusselator gives an oscillating reaction mechanism for an autocatalytic, oscillating chemical reaction. The Brusselator is a slow-fast oscillating chemical reaction system. The traditional analytical methods cannot provide analytical solutions of such slow-fast oscillating reaction, and numerical simulations cannot provide a full picture of periodic evolutions in the Brusselator. In this book, the generalized harmonic balance methods are employed for analytical solutions of periodic evolutions of the Brusselator with a harmonic diffusion. The bifurcation tree of period-1 motion to chaos of the Brusselator is presented through frequency-amplitude characteristics, which be measured in frequency domains. Two main results presented in this book are: • analytical routes of periodical evolutions tochaos and • independent period-(2���� + 1) evolution to chaos. This book gives a better understanding of periodic evolutions to chaos in the slow-fast varying Brusselator system, and the bifurcation tree of period-1 evolution to chaos is clearly demonstrated, which can help one understand routes of periodic evolutions to chaos in chemical reaction oscillators. The slow-fast varying systems extensively exist in biological systems and disease dynamical systems. The methodology presented in this book can be used to investigate the slow-fast varying oscillating motions in biological systems and disease dynamical systems for a better understanding of how infectious diseases spread. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Guo, Siyu. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-79661-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2020. |
| 336 ## - | |
| -- | text |
| -- | txt |
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| -- | computer |
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| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
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| 347 ## - | |
| -- | text file |
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| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering design. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microtechnology. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microelectromechanical systems. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Technology and Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical and Electronic Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Design. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microsystems and MEMS. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2573-3176 |
| 912 ## - | |
| -- | ZDB-2-SXSC |
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