Exact numerical methods in dynamical systems theory

DOI10.1016/S0960-0779(98)00067-8zbMath0980.37036OpenAlexW2029725723WikidataQ127306044 ScholiaQ127306044MaRDI QIDQ1809591

Ole Stauning, Carsten Knudsen

Publication date: 25 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00067-8

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Approximation methods and numerical treatment of dynamical systems (37M99) Nonlinear algebraic or transcendental equations (65H99)

Related Items (1)

Solution of a transcendental eigenvalue problem via interval analysis

Uses Software

• PROFIL/BIAS

Cites Work

• Chaos in numerical analysis of ordinary differential equations
• Central difference scheme and chaos
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The universal metric properties of nonlinear transformations
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• Quantitative universality for a class of nonlinear transformations
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• On finite limit sets for transformations on the unit interval
• Bifurcations and chaos in a model of a rolling railway wheelset
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