Recent results on the stability of time dependent sets and their application to bifurcation problems

DOI10.4171/RLM/562zbMath1211.34068OpenAlexW2029991187MaRDI QIDQ966209

Francesca Visentin, Luigi Salvadori

Publication date: 23 April 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=rlm

zbMATH Keywords

invariancebifurcationfirst integralsstability properties of sets

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Invariant manifolds for ordinary differential equations (34C45)

Related Items (1)

Non-asymptotic stability and integral stability trough a reduction principle

Cites Work

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• Contributions to stability theory
• Applications of centre manifold theory
• First and invariant integrals in stability problems.
• A stability criterion for periodic systems with first integrals
• Dynamical systems: Stability theory and applications
• Stability of the center-stable manifold
• On Liapounoff's conditions of stability

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