Patterns of synchrony in complex networks of adaptively coupled oscillators / Rico Berner.

Format:

Book

Author/Creator:

Berner, Rico, author.

Series:

Springer theses

Language:

English

Subjects (All):

Synchronization.

Dynamics.

Genre:

Electronic books.

Physical Description:

1 online resource (xvi, 203 pages) : illustrations (chiefly color).

Place of Publication:

Cham, Switzerland : Springer, [2021]

System Details:

text file PDF

Summary:

The focus of this thesis is the interplay of synchrony and adaptivity in complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, neuroscience, medicine, socioeconomic systems, and engineering. Most prominently, synchronization takes place in the brain, where it is associated with cognitive capacities like learning and memory, but is also a characteristic of neurological diseases like Parkinson and epilepsy. Adaptivity is common in many networks in nature and technology, where the connectivity changes in time, i.e., the strength of the coupling is continuously adjusted depending upon the dynamic state of the system, for instance synaptic neuronal plasticity in the brain. This research contributes to a fundamental understanding of various synchronization patterns, including hierarchical multifrequency clusters, chimeras and other partial synchronization states. After a concise survey of the fundamentals of adaptive and complex dynamical networks and synaptic plasticity, in the first part of the thesis the existence and stability of cluster synchronization in globally coupled adaptive networks is discussed for simple paradigmatic phase oscillators as well as for a more realistic neuronal oscillator model with spike-timing dependent plasticity. In the second part of the thesis the interplay of adaptivity and connectivity is investigated for more complex network structures like nonlocally coupled rings, random networks, and multilayer systems. Besides presenting a plethora of novel, sometimes intriguing patterns of synchrony, the thesis makes a number of pioneering methodological advances, where rigorous mathematical proofs are given in the Appendices. These results are of interest not only from a fundamental point of view, but also with respect to challenging applications in neuroscience and technological systems.

Contents:

Introduction

Fundamentals of Adaptive and Complex Dynamical Networks

Population of Hodgkin-Huxley Neurons With Spike Timing-Dependent Plasticity

One-cluster States in Adaptive Networks of Coupled Phase Oscillators-. Multicluster States in Adaptive Networks of Coupled Phase Oscillators.

Notes:

Includes bibliographical references.

Description based on online resource; title from digital title page (viewed on June 17, 2021).

ISBN:

9783030749385

303074938X

9783030749392

3030749398

9783030749408

3030749401

OCLC:

1253478075

Access Restriction:

Restricted for use by site license.