ON A "CROSSROAD AREA–SPRING AREA" TRANSITION OCCURRING IN A DUFFING–RAYLEIGH EQUATION WITH A PERIODICAL EXCITATION

DOI10.1142/S0218127493000842zbMath0896.34029OpenAlexW2070253541MaRDI QIDQ4379121

Publication date: 1 July 1998

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

Full work available at URL: https://doi.org/10.1142/s0218127493000842

zbMATH Keywords

period doubling excitation frequency subharmonic oscillations periodic external excitation bifurcation structures fold and flip bifurcation Duffing-Rayleigh equation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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BIFURCATION STRUCTURES GENERATED BY THE NONAUTONOMOUS DUFFING EQUATION ⋮ Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13 ⋮ STUDY OF A TWO-DIMENSIONAL ENDOMORPHISM BY USE OF THE PARAMETRIC SINGULARITIES ⋮ ANALYSIS OF TORUS BREAKDOWN INTO CHAOS IN A CONSTRAINT DUFFING VAN DER POL OSCILLATOR ⋮ REDUCIBLE FRACTIONAL HARMONICS GENERATED BY THE NONAUTONOMOUS DUFFING–RAYLEIGH EQUATION: POCKETS OF REDUCIBLE HARMONICS AND ARNOLD'S TONGUES ⋮ BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART I

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