Asymptotic and exact solutions of the Fitzhugh-Nagumo model
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Publication:1799399
DOI10.1134/S1560354718020028zbMath1401.34004OpenAlexW2802730536WikidataQ129967207 ScholiaQ129967207MaRDI QIDQ1799399
Publication date: 18 October 2018
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354718020028
Neural biology (92C20) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Singular perturbations for ordinary differential equations (34E15)
Related Items (12)
A nearly exact discretization scheme for the FitzHugh-Nagumo model ⋮ A priori estimates for solutions of FitzHugh-Rinzel system ⋮ Unnamed Item ⋮ Exact solutions and integrability of the Duffing-van der Pol equation ⋮ Unnamed Item ⋮ Exact solutions of the equation for surface waves in a convecting fluid ⋮ On solutions to a FitzHugh-Rinzel type model ⋮ A remark on the meromorphic solutions in the FitzHugh-Nagumo model ⋮ Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation ⋮ Analytical Properties and Solutions of the FitzHugh – Rinzel Model ⋮ On Integrability of the FitzHugh – Rinzel Model ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems
Cites Work
- One method for finding exact solutions of nonlinear differential equations
- Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
- Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
- Paul Painlevé and his contribution to science
- Solitary wave solution for the generalized Kawahara equation
- A note on solutions of the generalized Fisher equation
- Analytical properties of nonlinear dislocation equation
- Simplest equation method to look for exact solutions of nonlinear differential equations
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