ROBUST DISCRETIZATIONS VERSUS INCREASE OF THE TIME STEP FOR CHAOTIC SYSTEMS

DOI10.1142/9789812703316_0011zbMath1086.65081OpenAlexW2501277766MaRDI QIDQ3372243

Christophe Letellier, Eduardo M. A. M. Mendes

Publication date: 20 February 2006

Published in: Advances in the Applications of Nonstandard Finite Difference Schemes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812703316_0011

zbMATH Keywords

numerical examplesbifurcationLorenz systemchaotic systemsnon-standard finite difference methodnonstandard schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Numerical chaos (65P20) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Finite difference and finite volume methods for ordinary differential equations (65L12)

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