Global complexity effects due to local damping in a nonlinear system in 1:3 internal resonance
Malte Krack,
Lawrence A. Bergman,
Alexander F. Vakakis
Abstract:It is well-known that nonlinearity may lead to localization effects and coupling of internally resonant modes. However, research focused primarily on conservative systems commonly assumes that the near-resonant forced response closely follows the autonomous dynamics. Our results for even a simple system of two coupled oscillators with a cubic spring clearly contradict this common belief. We demonstrate analytically and numerically global effects of a weak local damping source in a harmonically forced nonlinear… Show more
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