The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of concepts from nonlinear dynamics, such as self-organization, complexity, coherence, st
Control of Self-Organizing Nonlinear Systems
β Scribed by Eckehard SchΓΆll, Sabine H. L. Klapp, Philipp HΓΆvel (eds.)
- Publisher
- Springer International Publishing
- Year
- 2016
- Tongue
- English
- Leaves
- 478
- Series
- Understanding Complex Systems
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Controlling Chimera Patterns in Networks: Interplay of Structure, Noise, and Delay....Pages 3-23
Dynamics of Fully Coupled Rotators with Unimodal and Bimodal Frequency Distribution....Pages 25-45
Adaptively Controlled Synchronization of Delay-Coupled Networks....Pages 47-63
Controlling Oscillations in Nonlinear Systems with Delayed Output Feedback....Pages 65-79
Global Effects of Time-Delayed Feedback Control Applied to the Lorenz System....Pages 81-103
Symmetry-Breaking Control of Rotating Waves....Pages 105-126
On the Interplay of Noise and Delay in Coupled Oscillators....Pages 127-145
Noisy Dynamical Systems with Time Delay: Some Basic Analytical Perturbation Schemes with Applications....Pages 147-168
Study on Critical Conditions and Transient Behavior in Noise-Induced Bifurcations....Pages 169-187
Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems....Pages 189-210
Recent Advances in Reaction-Diffusion Equations with Non-ideal Relays....Pages 211-234
Moment ClosureβA Brief Review....Pages 235-251
Front Matter....Pages 253-271
Feedback Control in Quantum Transport....Pages 273-273
Controlling the Stability of Steady States in Continuous Variable Quantum Systems....Pages 275-287
Chimera States in Quantum Mechanics....Pages 289-313
Multirhythmicity for a Time-Delayed FitzHugh-Nagumo System with Threshold Nonlinearity....Pages 315-336
Exploiting Multistability to Stabilize Chimera States in All-to-All Coupled Laser Networks....Pages 337-354
Feedback Control of Colloidal Transport....Pages 355-374
Swarming of Self-propelled Particles on the Surface of a Thin Liquid Film....Pages 375-392
Front Matter....Pages 393-412
Time-Delayed Feedback Control of Spatio-Temporal Self-Organized Patterns in Dissipative Systems....Pages 273-273
Control of Epidemics on Hospital Networks....Pages 413-430
Intrinsic Control Mechanisms of Neuronal Network Dynamics....Pages 431-440
Evolutionary Dynamics: How Payoffs and Global Feedback Control the Stability....Pages 441-460
Back Matter....Pages 461-470
....Pages 471-475
β¦ Subjects
Statistical Physics, Dynamical Systems and Complexity; Soft and Granular Matter, Complex Fluids and Microfluidics; Biological Networks, Systems Biology; Mathematical Methods in Physics; Complex Systems
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