A modal decomposition of the Hopf normal form coefficient

DOI10.1109/9.935059zbMath1008.93046OpenAlexW2117539973MaRDI QIDQ4540429

Vaithianathan Venkatasubramanian, Frederic Howell

Publication date: 21 July 2002

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/04a440cfd3668a0c15c03601debfd903aa3306bd

zbMATH Keywords

nonlinear systemsLyapunov stabilityHopf bifurcationnormal formcenter manifoldmodal decomposition

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Canonical structure (93B10) Bifurcations of singular points in dynamical systems (37G10) Control/observation systems governed by ordinary differential equations (93C15)

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