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Controllable Hopf bifurcations of codimension 1 and 2 in nonlinear control systems

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Publication:531700
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DOI10.1016/J.NA.2011.01.033zbMath1222.37045OpenAlexW2040534670MaRDI QIDQ531700

Carmen Rocşoreanu, Denis de Carvalho Braga, Mihaela Sterpu, Luis Fernando Mello

Publication date: 19 April 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.033


zbMATH Keywords

stabilityHopf bifurcationperiodic orbitcontrol systemBautin bifurcation


Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)





Cites Work

  • Control of planar Bautin bifurcation
  • Control of the planar Takens-Bogdanov bifurcation with applications
  • Elements of applied bifurcation theory.
  • Bifurcation analysis of the Watt governor system
  • Control algorithm for creation of Hopf bifurcations in continuous-time systems of arbitrary dimension
  • Hopf bifurcation control: a new approach




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