Stability of periodic solutions for Lipschitz systems obtained via the averaging method

DOI10.1090/S0002-9939-07-08929-0zbMath1135.34032OpenAlexW2048946802MaRDI QIDQ5295116

Adriana Buică, Aris Daniilidis

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08929-0

zbMATH Keywords

fixed pointPoincaré-Andronov mapping

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29)

Related Items (1)

On Yu. A. Mitropol'skii's theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An averaging theorem for time-periodic degree zero homogeneous differential equations
• Averaging methods for finding periodic orbits via Brouwer degree.
• Higher-order averaging: periodic solutions, linear systems and an application
• Semi-global practical asymptotic stability and averaging
• Subsmooth sets: Functional characterizations and related concepts
• Optimization and nonsmooth analysis
• Stable Manifolds in the Method of Averaging
• Variational Analysis
• The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
• BIFURCATION OF LIMIT CYCLES FROM A FOUR-DIMENSIONAL CENTER IN CONTROL SYSTEMS
• Averaging methods in nonlinear dynamical systems

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