Higher-order systems

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

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...

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Bibliographic Details
Other Authors: Battiston, Federico (Editor), Petri, Giovanni (Editor)
Format: eBook
Language:English
Published: Cham : Springer, [2022]
Series:Understanding complex systems.
Subjects:
System analysis.
Simulation methods.
systems analysis.
simulation methods.
Simulation methods
System analysis
Online Access:Click for online access
Table of 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.

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