Prediction of bifurcations in a parametrically excited Duffing oscillator

DOI10.1016/0020-7462(90)90048-EzbMath0711.70029OpenAlexW2086047898MaRDI QIDQ922757

Nestor E. Sanchez, Ali Hasan Nayfeh

Publication date: 1990

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(90)90048-e

zbMATH Keywords

parametric excitationnonlinear resonancesinstability regionsdamped, softening-type Duffing oscillatorinstabilities of the periodic approximate solutionssecond-order approximate analytical solutions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (8)

Link between externally excited nonlinear system and parametrically excited Duffing oscillator via bursting oscillations and phase transitions ⋮ Dynamical analysis of a compound oscillator with initial phase difference ⋮ Chaotic behavior of a nonlinear oscillator ⋮ Global dynamics of two coupled parametrically excited van der Pol oscillators ⋮ Local and global bifurcations of L-mode to H-mode transition near plasma edge in tokamak ⋮ Nonintegrability of parametrically forced nonlinear oscillators ⋮ Nonlinear dynamics of self-, parametric, and externally excited oscillator with time delay: van der Pol versus Rayleigh models ⋮ Response of a Parametrically Excited System to a Nonstationary Excitation

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