Dynamics in numerics: On two different finite difference schemes for ODEs

DOI10.1016/j.cam.2004.11.033zbMath1074.65093OpenAlexW2105923827MaRDI QIDQ557701

Xingfu Zou, Yu Huang

Publication date: 30 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.033

zbMATH Keywords

stabilitySchwarzian derivativedynamical systemsnumerical examplesfinite difference schemeequilibriumbifurcationstopological chaospopulation growthintegral approximationEuler's schemeperiodic doubling

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Simulation of dynamical systems (37M05) Numerical chaos (65P20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

Global stability analysis of discrete-time coupled systems on networks and its applications ⋮ Dynamics in numerics: on a discrete predator-prey model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Euler's finite difference scheme and chaos in \(R^ n\)
• Euler's finite difference scheme and chaos
• On the abundance of aperiodic behaviour for maps on the interval
• Dynamics in one dimension
• Period Three Implies Chaos
• Topological Entropy

This page was built for publication: Dynamics in numerics: On two different finite difference schemes for ODEs