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

DOI10.1063/5.0203186zbMATH Open1545.39004MaRDI QIDQ6597617

Yoshihiro Yamazaki, Shousuke Ohmori

Publication date: 3 September 2024

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

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Bifurcation theory for difference equations (39A28)

Cites Work

• Spatial pattern of discrete and ultradiscrete Gray-Scott model
• Discrete and ultradiscrete models for biological rhythms comprising a simple negative feedback loop
• Piecewise-smooth dynamical systems. Theory and applications
• Discrete Dynamical Systems
• Ultradiscrete bifurcations for one dimensional dynamical systems
• Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
• Poincaré map approach to limit cycles of a simplified ultradiscrete Sel'kov model
• Tropical discretization: ultradiscrete Fisher–KPP equation and ultradiscrete Allen–Cahn equation
• Ultradiscretization in discrete limit cycles of tropically discretized and max-plus Sel'kov models

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