On the computation of characteristic multipliers for predicting limit cycle bifurcations

DOI10.1016/S0960-0779(97)00055-6zbMath0940.34023MaRDI QIDQ1963235

G. Torrini, Alberto Tesi, Roberto Genesio

Publication date: 24 January 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

bifurcationlimit cycleharmonic balance methodcharacteristic multipliers

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) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (11)

Existence of self-oscillation for a class of nonlinear discrete-time systems ⋮ HARMONIC DISTORTION ANALYSIS BASED ON HOPF BIFURCATION THEOREM AND FAST FOURIER TRANSFORM ⋮ Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems ⋮ Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity ⋮ Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic ⋮ Bifurcation of limit cycles near polycycles with \(n\) vertices ⋮ DETECTION OF LIMIT CYCLE BIFURCATIONS USING HARMONIC BALANCE METHODS ⋮ The existence of the exponentially stable limit cycle for a class of nonlinear systems ⋮ Double Hopf bifurcation analysis using frequency domain methods ⋮ ON THE ONSET OF QUASI-PERIODIC SOLUTIONS IN THIRD-ORDER NONLINEAR DYNAMICAL SYSTEMS ⋮ On period doubling bifurcations of cycles and the harmonic balance method

Cites Work

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• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• A describing-function based criterion for a route to chaos in autonomous nonlinear systems
• Elements of applied bifurcation theory

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