Publisher DOI: 10.1016/j.jsv.2020.115203
Title: Hyperchaos co-existing with periodic orbits in a frictional oscillator
Language: English
Authors: Stender, Merten  
Jahn, Martin 
Hoffmann, Norbert  
Wallaschek, Jörg 
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
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