| 000 -LEADER |
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| fixed length control field |
02907 a2200241 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240429124024.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240429b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781611977325 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA372 .G615 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Golubitsky, Martin |
| 245 ## - TITLE STATEMENT |
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| Title |
Dynamic and bifurcation in networks |
| Remainder of title |
: theory and applications of coupled differential equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Name of publisher, distributor, etc. |
Society for Industrial and Applied Mathematics, |
| Place of publication, distribution, etc. |
Philadelphia : |
| Date of publication, distribution, etc. |
[2023] |
| 300 ## - Physical Description |
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| Pages: |
834 p. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Chapter 1: Why Networks?<br/>Chapter 2: Examples of Network Models<br/>Chapter 3: Network Constraints on Bifurcations<br/>Chapter 4: Inhomogeneous Networks<br/>Chapter 5: Homeostasis<br/>Chapter 6: Local Bifurcations for Inhomogeneous Networks<br/>Chapter 7: Informal Overview<br/>Chapter 8: Synchrony, Phase Relations, Balance, and Quotient Networks<br/>Chapter 9: Formal Theory of Networks<br/>Chapter 10: Formal Theory of Balance and Quotients<br/>Chapter 11: Adjacency Matrices<br/>Chapter 12: ODE-Equivalence<br/>Chapter 13: Lattices of Colorings<br/>Chapter 14: Rigid Equilibrium Theorem<br/>Chapter 15: Rigid Periodic States<br/>Chapter 16: Symmetric Networks<br/>Chapter 17: Spatial and Spatiotemporal Patterns<br/>Chapter 18: Synchrony-Breaking Steady-State Bifurcations<br/>Chapter 19: Nonlinear Structural Degeneracy<br/>Chapter 20: Synchrony-Breaking Hopf Bifurcation<br/>Chapter 21: Hopf Bifurcation in Network Chains<br/>Chapter 22: Graph Fibrations and Quiver Representations<br/>Chapter 23: Binocular Rivalry and Visual Illusions<br/>Chapter 24: Decision Making<br/>Chapter 25: Signal Propagation in Feedforward Lifts<br/>Chapter 26: Lattices, Rings, and Group Networks<br/>Chapter 27: Balanced Colorings of Lattices<br/>Chapter 28: Symmetries of Lattices and Their Quotients<br/>Chapter 29: Heteroclinic Cycles, Chaos, and Chimeras<br/>Chapter 30: Epilogue<br/>Appendix A: Liapunov-Schmidt Reduction<br/>Appendix B: Center Manifold Reduction<br/>Appendix C: Perron-Frobenius Theorem<br/>Appendix D: Differential Equations on Infinite Networks |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This is the first book to describe the formalism for network dynamics developed over the past 20 years. In it, the authors<br/>--introduce a definition of a network and the associated class of “admissible” ordinary differential equations, in terms of a directed graph whose nodes represent component dynamical systems and whose arrows represent couplings between these systems;<br/>--develop connections between network architecture and the typical dynamics and bifurcations of these equations; and<br/>--discuss applications of this formalism to various areas of science, including gene regulatory networks, animal locomotion, decision-making, homeostasis, binocular rivalry, and visual illusions.---- summary provided by the publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Differential equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations--Qualitative theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Bifurcation theory |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Stewart, Ian |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Koha item type |
Book |
