Ultradiscretization in discrete limit cycles of tropically discretized and max-plus Sel'kov models

DOI10.14495/JSIAML.16.85MaRDI QIDQ6640056

Shousuke Ohmori, Yoshihiro Yamazaki

Publication date: 18 November 2024

Published in: JSIAM Letters (Search for Journal in Brave)

zbMATH Keywords

saddle-node bifurcationlimit cycleultradiscretizationphase lockbottleneck motion

Mathematics Subject Classification ID

Bifurcation theory for difference equations (39A28)

Cites Work

• Title not available (Why is that?)
• Spatial pattern of discrete and ultradiscrete Gray-Scott model
• Discrete and ultradiscrete models for biological rhythms comprising a simple negative feedback loop
• Nonlinear dynamics and chaos. With applications to physics, biology, chemistry, and engineering
• Poincaré map approach to limit cycles of a simplified ultradiscrete Sel'kov model
• Tropical discretization: ultradiscrete Fisher–KPP equation and ultradiscrete Allen–Cahn equation
• Types and stability of fixed points for positivity-preserving discretized dynamical systems in two dimensions

Related Items (1)

A generalization for ultradiscrete limit cycles in a certain type of max-plus dynamical systems

This page was built for publication: Ultradiscretization in discrete limit cycles of tropically discretized and max-plus Sel'kov models

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6640056)