General scaling law in the saddle–node bifurcation: a complex phase space study

DOI10.1088/1751-8113/41/1/015102zbMath1129.37029OpenAlexW2132166704MaRDI QIDQ5440272

Josep Sardanyés, Ernest Fontich

Publication date: 1 February 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/1/015102

zbMATH Keywords

fixed pointscomplex variable techniquesinverse square root scaling lawmodeling the dynamics of an autocatalytic replicatorone-dimensional, analytical, autonomous dynamical system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of dynamical systems (37N99) Bifurcations in context of PDEs (35B32) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (9)

Bifurcations analysis of oscillating hypercycles ⋮ On chaos, transient chaos and ghosts in single population models with Allee effects ⋮ Dynamical mechanism behind ghosts unveiled in a map complexification ⋮ Truncation of Contact Defects in Reaction-Diffusion Systems ⋮ Scaling law in saddle-node bifurcations for one-dimensional maps: a complex variable approach ⋮ Bifurcation Gaps in Asymmetric and High-Dimensional Hypercycles ⋮ Subtle interplay of stochasticity and deterministic dynamics pervades an evolutionary plausible genetic circuit for \textit{Bacillus subtilis} competence ⋮ Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria ⋮ On the effect of time lags on a saddle-node remnant in hyperbolic replicators

This page was built for publication: General scaling law in the saddle–node bifurcation: a complex phase space study