Articles producció científica> Enginyeria Informàtica i Matemàtiques

Memory selection and information switching in oscillator networks with higher-order interactions

  • Identification data

    Identifier: imarina:9242157
    Authors:
    Skardal, Per SebastianArenas, Alex
    Abstract:
    We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become entrained at opposite phases, mapping easily to information more commonly represented by sequences of 0’s and 1’s. While 2N such fixed point states exist in a l system of N oscillators, we find that a relatively small fraction of these are stable, as chosen by the network topology. To understand the memory selection of such oscillator networks, we derive a stability criterion to identify precisely which states are stable, i.e., which pieces of information are supported by the network. We also investigate the process by which the system can switch between different stable states when a random perturbation is applied that may force the system into the basin of attraction of another stable state. © 2020 The Author(s). Published by IOP Publishing Ltd
  • Others:

    Author, as appears in the article.: Skardal, Per Sebastian; Arenas, Alex
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Arenas Moreno, Alejandro
    Keywords: Synchronization Stable state Stability criteria Random processes Random perturbations Oscillator systems Oscillator networks Network topology Higher-order interactions Fixed points Coupled oscillators Coupled oscillator networks Complex networks Basin of attraction
    Abstract: We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become entrained at opposite phases, mapping easily to information more commonly represented by sequences of 0’s and 1’s. While 2N such fixed point states exist in a l system of N oscillators, we find that a relatively small fraction of these are stable, as chosen by the network topology. To understand the memory selection of such oscillator networks, we derive a stability criterion to identify precisely which states are stable, i.e., which pieces of information are supported by the network. We also investigate the process by which the system can switch between different stable states when a random perturbation is applied that may force the system into the basin of attraction of another stable state. © 2020 The Author(s). Published by IOP Publishing Ltd
    Thematic Areas: Physics, mathematical Multidisciplinary sciences Mathematics, interdisciplinary applications Information systems Computer science applications Computer networks and communications Artificial intelligence
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: alexandre.arenas@urv.cat
    Author identifier: 0000-0003-0937-0334
    Record's date: 2024-09-28
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://iopscience.iop.org/article/10.1088/2632-072X/abbd4c
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Journal Of Physics: Complexity. 2 (1): 015003-
    APA: Skardal, Per Sebastian; Arenas, Alex (2021). Memory selection and information switching in oscillator networks with higher-order interactions. Journal Of Physics: Complexity, 2(1), 015003-. DOI: 10.1088/2632-072x/abbd4c
    Article's DOI: 10.1088/2632-072x/abbd4c
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2021
    Publication Type: Journal Publications
  • Keywords:

    Artificial Intelligence,Computer Networks and Communications,Computer Science Applications,Information Systems,Mathematics, Interdisciplinary Applications,Multidisciplinary Sciences,Physics, Mathematical
    Synchronization
    Stable state
    Stability criteria
    Random processes
    Random perturbations
    Oscillator systems
    Oscillator networks
    Network topology
    Higher-order interactions
    Fixed points
    Coupled oscillators
    Coupled oscillator networks
    Complex networks
    Basin of attraction
    Physics, mathematical
    Multidisciplinary sciences
    Mathematics, interdisciplinary applications
    Information systems
    Computer science applications
    Computer networks and communications
    Artificial intelligence
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