On numerical study of periodic solutions of a delay equation in biological models

DOI10.1134/S1990478916010105zbMath1363.65111WikidataQ113782137 ScholiaQ113782137MaRDI QIDQ3186918

S. I. Fadeev, Tamara M. Khlebodarova, V. V. Kogaj, V. A. Likhoshvai

Publication date: 12 August 2016

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsordinary differential equationboundary value problemoscillationsfinite-difference schemedelayed argumentspline-collocationparameter continuation method

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Periodic solutions to functional-differential equations (34K13) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Boundary value problems for functional-differential equations (34K10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for functional-differential equations (65L03)

Related Items (1)

Structure of Phase Portraits of Nonlinear Dynamical Systems

Cites Work

• Modeling the segmentation clock as a network of coupled oscillations in the notch, Wnt and FGF signaling pathways
• Oscillation patterns in negative feedback loops
• Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model
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