Averaging on slow and fast cycles of a three time scale system

DOI10.1016/j.jmaa.2013.12.044zbMath1317.34091OpenAlexW2024960041MaRDI QIDQ2338713

Karim Yadi

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.12.044

zbMATH Keywords

limit cyclesingular perturbationsrelaxationnonstandard analysisstroboscopy lemmathree time scale system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (1)

Quasi-steady-state models of three timescale systems: a bond graph approach

Cites Work

• Periodic motions
• Nonstandard analysis in practice
• La variété des équations surstables
• Oscillations in a Prey-Predator-Superpredator System
• Oscillatory Systems with Three Separated Time Scales: Analysis and Computation
• Mixed-Mode Oscillations with Multiple Time Scales
• Étude Macroscopique de Systèmes Différentiels
• Non-standard analysis and singular perturbations of ordinary differential equations
• PERIODIC SOLUTIONS AND SLOW MANIFOLDS
• Non-standard analysis and representation of reality
• Internal set theory: A new approach to nonstandard analysis
• THE DYNAMICS OF SLOW MANIFOLDS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Averaging on slow and fast cycles of a three time scale system