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Sensitive dependence on initial conditions of strongly nonlinear periodic orbits of the forced pendulum

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Publication:1265309
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DOI10.1023/A:1008276310599zbMath0911.70018MaRDI QIDQ1265309

M. A. F. Azeez, Alexander F. Vakakis, Valery N. Pilipchuk

Publication date: 16 May 1999

Published in: Nonlinear Dynamics (Search for Journal in Brave)


zbMATH Keywords

chaotic trajectoriesnonsmooth transformationsperiod of oscillationpiecewise constant generating solutionstransverse intersections of invariant manifolds of saddle orbits


Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50)


Related Items (2)

Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT) ⋮ Alternation of regular and chaotic dynamics in a simple two-degree-of-freedom system with nonlinear inertial coupling







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