|Publisher DOI:||10.1016/j.jsv.2020.115203||Title:||Hyperchaos co-existing with periodic orbits in a frictional oscillator||Language:||English||Authors:||Stender, Merten
|Keywords:||Chaos;Friction-induced vibrations;Mode-coupling;Multi-stability;Nonlinear dynamics||Issue Date:||28-Apr-2020||Source:||Journal of Sound and Vibration (472): 115203 (2020-04-28)||Journal or Series Name:||Journal of sound and vibration||Abstract (english):||This work reports observations of complex dynamical behavior and chimera-alike dynamics in a self-excited frictional oscillator with a weak stiffness nonlinearity. Multi-stability in the form of several co-existing stable limit cycle solutions are identified for a wide range of system parameters. For a particular system configuration, an unstable periodic orbit is found that gives rise to irregular long-term behavior. Trajectories starting from this orbit turn out to be hyper-chaotic with multiple positive Lyapunov exponents. Trajectories starting from different regions in phase space converge to stable limit cycles. Hence, this numerical study reveals co-existing regular and irregular dynamics at a fixed system configuration. This sensitive dependence of the qualitative system dynamics on initial conditions adds new aspects to a better understanding of the rich dynamic behavior of structures subjected to friction-induced vibrations.||URI:||http://hdl.handle.net/11420/4758||ISSN:||0022-460X||Institute:||Strukturdynamik M-14||Type:||(wissenschaftlicher) Artikel|
|Appears in Collections:||Publications without fulltext|
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