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Parametric excitation in non-linear dynamics

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Publication:873282
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DOI10.1016/S0020-7462(02)00190-7zbMath1348.70055MaRDI QIDQ873282

Taoufik Bakri, Aleš Tondl, Radoslav Nabergoj, Ferdinand Verhulst

Publication date: 29 March 2007

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


zbMATH Keywords

dynamical systemsNeimark-Sacker bifurcationaveraging method and tori


Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Parametric resonances for nonlinear problems in mechanics (70K28)


Related Items (7)

Torus bifurcations in a mechanical system ⋮ Nonlinear normal modes of a self-excited system driven by parametric and external excitations ⋮ Stability of limit cycles in autonomous nonlinear systems ⋮ Bifurcations of quasi-periodic dynamics: torus breakdown ⋮ Dynamic stability of viscoelastic plates ⋮ Invariant manifolds in dissipative dynamical systems ⋮ Dynamics and chaos control of the self-sustained electromechanical device with and without discontinuity


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