A Young Measures Approach to Averaging

DOI10.1007/978-3-7643-8482-1_2zbMath1168.34034OpenAlexW171019276MaRDI QIDQ3525242

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Publication date: 12 September 2008

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8482-1_2

zbMATH Keywords

singular perturbationsYoung measureaveraging methodtime-varying averagesProhorov distance

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (1)

Stabilization under round-robin scheduling of control inputs in nonlinear systems

Cites Work

• Distributional convergence in planar dynamics and singular perturbations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Singular perturbation methods for ordinary differential equations
• Parametrized measures and variational principles
• Optimization, relaxation and Young measures
• On singularly perturbed ordinary differential equations with measure-valued limits
• Singularly perturbed ordinary differential equations with dynamic limits
• Chattering variational limits of control systems†
• Averaging methods in nonlinear dynamical systems
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