Continuously bursting simulations and analytical solutions of the neocortical neurons model

DOI10.1007/s12591-018-0446-2zbMath1491.92017OpenAlexW2900013703MaRDI QIDQ2070434

Mehri Sajjadian, Jalil Rashidinia

Publication date: 24 January 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-018-0446-2

zbMATH Keywords

numerical methoddynamical systemshomotopy analysis methodstep homotopy analysis methodneocortical neurons model

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)

Cites Work

• Mathematical frameworks for oscillatory network dynamics in neuroscience
• A new analytic solution for fractional chaotic dynamical systems using the differential transform method
• The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method
• Solving a model for the evolution of smoking habit in Spain with homotopy analysis method
• Discrete homotopy analysis for optimal trading execution with nonlinear transient market impact
• Solution of the one-phase inverse Stefan problem by using the homotopy analysis method
• Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle
• The variational iteration method is a special case of the homotopy analysis method
• Resonant forcing of chaotic dynamics
• The homotopy method for identifying the radiative source term in the heat conduction problem
• Beyond Perturbation
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Introduction to Dynamical Systems
• Analytical Solution for an In-host Viral Infection Model with Time-inhomogeneous Rates

This page was built for publication: Continuously bursting simulations and analytical solutions of the neocortical neurons model