Limit Cycles and Bifurcations in a Biological Clock Model

DOI10.1007/978-3-540-78827-0_22zbMath1229.92009OpenAlexW1518155199MaRDI QIDQ3616822

Bálint Nagy

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_22

zbMATH Keywords

circadian rhythm model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Biological rhythms and synchronization (92B25)

Cites Work

• Comparison of the bifurcation curves of a two-variable and a three-variable circadian rhythm model
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Mathematical analysis of the smallest chemical reaction system with Hopf bifurcation
• Constructing global bifurcation diagrams by the parametric representation method
• DETAILED STUDY OF LIMIT CYCLES AND GLOBAL BIFURCATIONS IN A CIRCADIAN RHYTHM MODEL
• Elements of applied bifurcation theory

This page was built for publication: Limit Cycles and Bifurcations in a Biological Clock Model