BIFURCATION STRUCTURES GENERATED BY THE NONAUTONOMOUS DUFFING EQUATION

DOI10.1142/S0218127499000948zbMath0970.34031MaRDI QIDQ4522232

M. Touzani-Qriouet, Hiroshi Kawakami, Christian Mira

Publication date: 13 October 2001

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

zbMATH Keywords

external periodic excitationDuffing equationbifurcation structures

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

TOPOLOGICAL ENTROPY IN THE SYNCHRONIZATION OF PIECEWISE LINEAR AND MONOTONE MAPS: COUPLED DUFFING OSCILLATORS ⋮ Kneading theory analysis of the Duffing equation ⋮ Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13 ⋮ Numerical characterization of nonlinear dynamical systems using parallel computing: the role of GPUs approach ⋮ 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

Cites Work

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

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