Hopf bifurcation from infinity for planar control systems

DOI10.5565/PUBLMAT_41197_11zbMath0883.34043OpenAlexW4211263440MaRDI QIDQ1365662

Jaume Llibre, Enrique Ponce

Publication date: 23 February 1998

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41281

zbMATH Keywords

Hopf bifurcationinversionPoincaré mappiecewise linear system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear systems in control theory (93C05) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones ⋮ Bifurcation of limit cycles at infinity in a class of switching systems ⋮ On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems ⋮ Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields

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