DETECTION OF LIMIT CYCLE BIFURCATIONS USING HARMONIC BALANCE METHODS

DOI10.1142/S0218127404011491zbMath1066.34035OpenAlexW2136671179MaRDI QIDQ4669095

Federico I. Robbio, D. M. Alonso, Jorge L. Moiola

Publication date: 15 April 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127404011491

zbMATH Keywords

Hopf bifurcationmonodromy matrixperiod-doublingharmonic balancelimit cycle bifurcations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (6)

Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application ⋮ A global qualitative view of bifurcations and dynamics in the Rössler system ⋮ BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS ⋮ Bifurcation and number of subharmonic solutions of a \(2n\)-dimensional non-autonomous system and its application ⋮ Prediction of Period-Doubling Bifurcation Based on Dynamic Recognition and Its Application to Power Systems ⋮ On period doubling bifurcations of cycles and the harmonic balance method

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