Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamics

DOI10.1016/j.physa.2019.122896OpenAlexW2975262891WikidataQ127199654 ScholiaQ127199654MaRDI QIDQ2164811

F. Santamaria, P. Vázquez-Guerrero, Ricardo Fabricio Escobar-Jiménez, José Francisco Gómez-Aguilar

Publication date: 17 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.122896

zbMATH Keywords

synchronizationfractional calculusHindmarsh-Rose modelChimera statesHodgking-Huxley model

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (5)

Numerical solution of fractional-order HIV model using homotopy method ⋮ A fractional-order discrete memristor neuron model: Nodal and network dynamics ⋮ Burst mechanisms and burst synchronization in a system of coupled type-I and type-II neurons ⋮ On numerical approximations of fractional-order spiking neuron models ⋮ Diverse Chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators

Cites Work

• Unnamed Item
• New properties of conformable derivative
• A note on fractional order derivatives and table of fractional derivatives of some special functions
• Existence and robustness of phase-locking in coupled Kuramoto oscillators under mean-field feedback
• Mathematical foundations of neuroscience
• Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients
• On a new class of fractional operators
• A fractional order pine wilt disease model with Caputo-Fabrizio derivative
• A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
• Shallow water wave models with and without singular kernel: existence, uniqueness, and similarities
• Blind in a commutative world: simple illustrations with functions and chaotic attractors
• Fractional derivatives with no-index law property: application to chaos and statistics
• Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
• The role of power decay, exponential decay and Mittag-Leffler function's waiting time distribution: application of cancer spread
• Chaos in a 5-D hyperchaotic system with four wings in the light of non-local and non-singular fractional derivatives
• A fractional model for the dynamics of competition between commercial and rural banks in Indonesia
• A new definition of fractional derivative
• Effectively desynchronizing deep brain stimulation based on a coordinated delayed feedback stimulation via several sites: a computational study
• Chimera States in Networks of Nonlocally Coupled Hindmarsh–Rose Neuron Models
• Application of fractional calculus to combined modified function projective synchronization of different systems

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