Control of Self-Organizing Nonlinear Systems

Front Cover
Eckehard Schöll, Sabine H. L. Klapp, Philipp Hövel
Springer, Jan 22, 2016 - Science - 475 pages

The book summarizes the state-of-the-art of research on control of self-organizing nonlinear systems with contributions from leading international experts in the field. The first focus concerns recent methodological developments including control of networks and of noisy and time-delayed systems. As a second focus, the book features emerging concepts of application including control of quantum systems, soft condensed matter, and biological systems. Special topics reflecting the active research in the field are the analysis and control of chimera states in classical networks and in quantum systems, the mathematical treatment of multiscale systems, the control of colloidal and quantum transport, the control of epidemics and of neural network dynamics.


 

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Contents

Interplay of Structure Noise and Delay
3
2 Dynamics of Fully Coupled Rotators with Unimodal and Bimodal Frequency Distribution
25
3 Adaptively Controlled Synchronization of DelayCoupled Networks
47
4 Controlling Oscillations in Nonlinear Systems with Delayed Output Feedback
65
5 Global Effects of TimeDelayed Feedback Control Applied to the Lorenz System
81
6 SymmetryBreaking Control of Rotating Waves
105
7 On the Interplay of Noise and Delay in Coupled Oscillators
127
Some Basic Analytical Perturbation Schemes with Applications
147
14 Feedback Control in Quantum Transport
275
15 Controlling the Stability of Steady States in Continuous Variable Quantum Systems
289
16 Chimera States in Quantum Mechanics
315
17 Multirhythmicity for a TimeDelayed FitzHughNagumo System with Threshold Nonlinearity
337
18 Exploiting Multistability to Stabilize Chimera States in AlltoAll Coupled Laser Networks
355
19 Feedback Control of Colloidal Transport
375
20 Swarming of Selfpropelled Particles on the Surface of a Thin Liquid Film
393
21 TimeDelayed Feedback Control of SpatioTemporal SelfOrganized Patterns in Dissipative Systems
413

9 Study on Critical Conditions and Transient Behavior in NoiseInduced Bifurcations
169
10 Analytical Optimal and Sparse Optimal Control of Traveling Wave Solutions to ReactionDiffusion Systems
189
11 Recent Advances in ReactionDiffusion Equations with Nonideal Relays
211
12 Deriving Effective Models for Multiscale Systems via Evolutionary ΓConvergence
235
13 Moment ClosureA Brief Review
253
Part II Concepts of Applications
274
22 Control of Epidemics on Hospital Networks
431
23 Intrinsic Control Mechanisms of Neuronal Network Dynamics
441
How Payoffs and Global Feedback Control the Stability
461
Index
471
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