Synchronization of the Circadian Rhythms with Memory: A Simple Fractional-Order Dynamical Model Based on Tow Coupled Oscillators

DOI10.5540/tcam.2023.024.02.00245zbMath1525.92008OpenAlexW4377983302MaRDI QIDQ6088978

F. Travessini De Cezaro, Adriano De Cezaro, Unnamed Author

Publication date: 14 December 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5540/tcam.2023.024.02.00245

zbMATH Keywords

synchronizationcircadian rhythmsmemory

Mathematics Subject Classification ID

Physiology (general) (92C30) Biological rhythms and synchronization (92B25)

Cites Work

• Unnamed Item
• The Kuramoto model in complex networks
• Chemical oscillations, waves, and turbulence
• \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus
• Phase resetting in medicine and biology. Stochastic modelling and data analysis
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Human sleep and circadian rhythms: a simple model based on two coupled oscillators
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• Stability analysis for nonlinear fractional-order systems based on comparison principle
• Solutions to fractional differential equations that extend
• STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS
• Recent advances in coupled oscillator theory
• The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus
• The geometry of biological time.

This page was built for publication: Synchronization of the Circadian Rhythms with Memory: A Simple Fractional-Order Dynamical Model Based on Tow Coupled Oscillators