Computing Morse decomposition of ODEs via Runge-Kutta method

DOI10.14495/jsiaml.13.40OpenAlexW3189610864MaRDI QIDQ5047086

Yuki Chiba, Toshiyuki Ogawa, Tomoyuki Miyaji

Publication date: 9 November 2022

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.13.40

zbMATH Keywords

dynamical systemsordinary differential equationsPoincaré mapMorse decompositionset-oriented computation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

Related Items (1)

Erratum: Computing Morse decomposition of ODEs via Runge-Kutta method

Uses Software

• Graphviz
• GAIO

Cites Work

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• A study of rigorous ODE integrators for multi-scale set-oriented computations
• Solving Ordinary Differential Equations I
• Deterministic Nonperiodic Flow
• A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems
• Human photoplethysmogram through the Morse graph: Searching for the saddle point in experimental data
• Elements of applied bifurcation theory

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