Non-asymptotic stability and integral stability trough a reduction principle

DOI10.1007/S11587-014-0185-9zbMath1311.34128OpenAlexW1983368981MaRDI QIDQ480433

Francesca Visentin, Luigi Salvadori

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-014-0185-9

zbMATH Keywords

stabilitydynamical systemsLyapunov functionsinvariant manifoldintegral stability

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Recent results on the stability of time dependent sets and their application to bifurcation problems
• Differential equations: Stability, oscillations, time lags
• Stability of the center-stable manifold
• Integral stability
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