Higher-order systems / Federico Battiston, Giovanni Petri, editors.

Format:

Book

Contributor:

Battiston, Federico, editor.

Petri, Giovanni, editor.

Series:

Understanding complex systems

Language:

English

Subjects (All):

System analysis.

Simulation methods.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (chiefly color).

Place of Publication:

Cham : Springer, [2022]

Summary:

This book discusses its potential to model real-world systems and how considering their higher-order organization can lead to the emergence of novel dynamical behavior. Over the last decades, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.

Contents:

Higher-order systems as a modelling framework

Graphs, simplicial complexes and hypergraphs: Spectral theory and topology

Random Simplicial Complexes: Models and Phenomena

Topological Data Analysis

Flow-based Community Detection in Hypergraphs

Pattern formation on hypergraphs

Non-pairwise interaction in oscillatory ensembles: From theory to data analysis

From symmetric networks to heteroclinic dynamics and chaos in coupled phase oscillators with higher-order interactions

Explosive synchronization and multistability in large systems of Kuramoto oscillators with higher-order interactions

Multiorder Laplacian for Kuramoto dynamics with higher-order interactions

The Master Stability Function for Synchronization in Simplicial Complexes

Geometry, Topology and Simplicial Synchronization

Signal processing on simplicial complexes

Social contagion on higher order structures

Consensus Dynamics and Opinion Formation on Hypergraphs

Collective games on hypergraphs

Topological Data Analysis of Spatial Systems

Higher-order description of brain function

Higher-Order Interactions in Biology: The Curious Case of Epistasis.

Notes:

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed May 4, 2022).

Other Format:

Print version:

ISBN:

9783030913748

3030913740

OCLC:

1313480436

Access Restriction:

Restricted for use by site license.