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Chimera Patterns in Networks: Interplay between Dynamics, Structure, Noise, and Delay 2020 ed. [Kietas viršelis]

  • Formatas: Hardback, 233 pages, aukštis x plotis: 235x155 mm, weight: 541 g, 131 Illustrations, color; 5 Illustrations, black and white; XI, 233 p. 136 illus., 131 illus. in color., 1 Hardback
  • Serija: Understanding Complex Systems
  • Išleidimo metai: 10-Mar-2020
  • Leidėjas: Springer Nature Switzerland AG
  • ISBN-10: 3030217132
  • ISBN-13: 9783030217136
Kitos knygos pagal šią temą:
Chimera Patterns in Networks: Interplay between Dynamics, Structure, Noise, and Delay 2020 ed.Didesnis paveikslėlis
  • Formatas: Hardback, 233 pages, aukštis x plotis: 235x155 mm, weight: 541 g, 131 Illustrations, color; 5 Illustrations, black and white; XI, 233 p. 136 illus., 131 illus. in color., 1 Hardback
  • Serija: Understanding Complex Systems
  • Išleidimo metai: 10-Mar-2020
  • Leidėjas: Springer Nature Switzerland AG
  • ISBN-10: 3030217132
  • ISBN-13: 9783030217136
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9783030217136.html
Raktažodžiai:

This is the first book devoted to chimera states - peculiar partial synchronization patterns in networks. Providing an overview of the state of the art in research on this topic, it explores how these hybrid states, which are composed of spatially separated domains of synchronized and desynchronized behavior, arise surprisingly in networks of identical units and symmetric coupling topologies. The book not only describes various types of chimeras, but also discusses the role of time delay, stochasticity, and network topology for these synchronization-desynchronization patterns. Moreover, it addresses the question of robustness and control of chimera states, which have various applications in physics, biology, chemistry, and engineering.

This book is intended for researchers with a background in physics, applied mathematics, or engineering. Of great interest to specialists working on related problems, it is also a valuable resource for newcomers to the field and other scientists working on the control of spatio-temporal patterns.

Recenzijos

It pays to a blend of rich dynamics and practical considerations, the book will be particularly useful to those readers who are new to the study of complex systems that exhibit chimeras. They will appreciate how Zakharova includes a thorough discussion of topics that tend to puzzle researchers entering the world of chimeras, such as the choice and importance of parameters and initial conditions. (Per Sebastian Skardal, Physics Today, September, 2021)

1 Chimera Patterns in Complex Networks
1(36)
1.1 Introduction
1(2)
1.2 Historical Note
3(2)
1.3 Definition and Main Features
5(4)
1.4 Quantitative Measures
9(1)
1.5 Chimera States in Different Systems
10(4)
1.6 Chimera States in Networks with Various Topologies
14(6)
1.7 Types of Chimera States
20(8)
1.8 Control of Chimera States
28(3)
1.9 Chimera States in Experiments
31(3)
1.10 Applications of Chimera States
34(3)
2 Amplitude Chimeras and Chimera Death in Ring Networks
37(60)
2.1 Introduction
37(1)
2.2 Stuart-Landau Model
38(1)
2.3 Deterministic Dynamics Without Delay
39(25)
2.3.1 Amplitude Chimeras and Chimera Death
40(4)
2.3.2 Transient Behavior of Amplitude Chimeras
44(2)
2.3.3 Detection of Transient Time of Amplitude Chimeras
46(2)
2.3.4 Role of Initial Conditions
48(4)
2.3.5 Relative Size of the Incoherent Domains
52(1)
2.3.6 Impact of System Size
53(2)
2.3.7 Stability Analysis of Amplitude Chimeras
55(8)
2.3.8 Summary
63(1)
2.4 The Role of Time Delay
64(20)
2.4.1 Time-Delay Model
65(3)
2.4.2 Characterizing the Transition from Incoherence to Coherence
68(3)
2.4.3 The Impact of Various Time Delay Types
71(12)
2.4.4 Summary
83(1)
2.5 The Role of Noise
84(11)
2.5.1 Stochastic Model
85(1)
2.5.2 Deterministic Chimera Patterns
85(3)
2.5.3 Influence of Noise on Transient Times
88(4)
2.5.4 Maps of Dynamic Regimes
92(2)
2.5.5 Summary
94(1)
2.6 Conclusions
95(2)
3 Coherence-Resonance Chimeras in Ring Networks
97(32)
3.1 Introduction
97(1)
3.2 FitzHugh-Nagumo Model
98(1)
3.3 Coherence-Resonance Chimeras Without Time Delays
99(13)
3.3.1 Coherence Resonance in a Single FitzHugh-Nagumo System
100(1)
3.3.2 Chimera States in Oscillatory and Excitable Regimes
101(2)
3.3.3 Alternating Behavior of Coherence-Resonance Chimeras
103(4)
3.3.4 Network Dynamics in the Presence of Strong Noise
107(1)
3.3.5 Dynamic Regimes: The Impact of Coupling Parameters
108(2)
3.3.6 Characterization of Coherence-Resonance Chimera
110(2)
3.3.7 Summary
112(1)
3.4 Time-Delayed Feedback Control of Chimera States
112(16)
3.4.1 Coherence-Resonance Chimeras in the Presence of Time-Delayed Feedback
114(4)
3.4.2 Dynamic Regimes in the Presence of Time-Delayed Feedback
118(2)
3.4.3 Impact of the Feedback on Coherence-Resonance Chimera Existence: Noise Intensity Range
120(2)
3.4.4 Impact of the Feedback on Coherence-Resonance Chimera Existence: Threshold Parameter Range
122(5)
3.4.5 Summary
127(1)
3.5 Conclusions
128(1)
4 Towards Realistic Topologies: Coherence, Incoherence, and Partial Synchronization Patterns
129(84)
4.1 Introduction
129(3)
4.2 Coherence Resonance in Multiplex Networks
132(10)
4.2.1 Model
134(1)
4.2.2 Dynamics of Isolated Layers
135(1)
4.2.3 Multiplex Network: Intra-layer Coupling Strength Mismatch
136(2)
4.2.4 A Deterministic Layer Multiplexed with a Noisy Layer
138(2)
4.2.5 Summary
140(2)
4.3 Coherence-Incoherence Patterns in Multiplex Networks
142(14)
4.3.1 Model
144(2)
4.3.2 Dynamics of Isolated Layers
146(1)
4.3.3 Multiplex Network: Coupling Range Mismatch
146(3)
4.3.4 Multiplex Network: Coupling Strength Mismatch
149(4)
4.3.5 Multiplex Network: Switching to Solitary States
153(1)
4.3.6 Summary
154(2)
4.4 Coherence-Incoherence Patterns in Networks with Power-Law Coupling
156(16)
4.4.1 Model
157(1)
4.4.2 Dynamic Regimes: Impact of Coupling Parameters
158(1)
4.4.3 Chimera States
159(2)
4.4.4 Tree-Like Patterns
161(3)
4.4.5 Solitary States
164(6)
4.4.6 Transition Patterns
170(2)
4.4.7 Summary
172(1)
4.5 Coherence-Incoherence Patterns in Networks with Fractal Connectivities
172(38)
4.5.1 Ring Networks of Van der Pol Oscillators
173(12)
4.5.2 Ring Networks of FitzHugh-Nagumo Oscillators with Time Delay
185(9)
4.5.3 2D Modular Fractal Connectivities in Networks of FitzHugh-Nagumo Oscillators
194(16)
4.6 Conclusions
210(3)
References 213(18)
Index 231
Anna Zakharova obtained her doctoral degree in Theoretical Physics with the distinction magna cum laude from the University of Potsdam in Germany in 2012. Since then she has been a Research Associate at the Department of Theoretical Physics of TU Berlin (Berlin Institute of Technology). She is the Principal Investigator of the projects Controlling complex networks: interplay of structure, noise, and delay and "Control and dynamics of multilayer networks" as part of the Collaborative Research Center SFB 910, funded by the German Research Foundation (DFG). Her research focuses on nonlinear dynamical systems, noise-induced dynamics, control of neural networks, oscillation suppression in nonlinear dynamical systems and networks, and stochastic effects in networks with delay. She has written 51 peer-reviewed publications.