Geometric integration and dynamic properties

DOI10.1016/j.cnsns.2022.106955OpenAlexW4306850863MaRDI QIDQ2108707

Igor M. L. Lopes, Andrei D. Werkhausen, Heyder Hey

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106955

zbMATH Keywords

symmetrychaosLie groupsgeometric numeric integration

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Numerical methods for ordinary differential equations (65Lxx)

Cites Work

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• Symmetry reduction for dynamic programming
• The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems
• New technique to quantify chaotic dynamics based on differences between semi-implicit integration schemes
• Invariantization of numerical schemes using moving frames
• Hamiltonian Systems
• Chaos in an anharmonic oscillator
• Geometric Numerical Integration
• Dynamical systems with elastic reflections
• Symmetries and differential equations

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