Predicting Limit Cycle Boundaries Deep Inside Parameter Space of a 2D Biochemical Nonlinear Oscillator Using Renormalization Group

DOI10.1142/S0218127421501625zbMath1502.34056OpenAlexW3197366027MaRDI QIDQ4958596

Dhruba Banerjee, Ayan Dutta, Jyotipriya Roy

Publication date: 14 September 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421501625

zbMATH Keywords

limit cycleHopf bifurcationrenormalization groupparameter space

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

Estimation of the boundary of the limit cycle of Brusselator oscillators by the renormalization group method

Cites Work

• Estimating the boundaries of a limit cycle in a 2D dynamical system using renormalization group
• Super-critical and sub-critical Hopf bifurcations in two and three dimensions
• Renormalization group and Lienard systems of differential equations
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