Nonlinear and chaotic dynamical systems are unpredictable even without random perturbations that are inherent in nature. We make use of multiple-scale asymptotics and numerical bifurcation analysis to investigate nonlinear interactions in systems modeled by continuum mechanics, and employ chaos theory to determine the nature of instabilities governed by sensitivity-to-initial-conditions. Our current research includes applications in nano-mechanics and fluid-structure-interaction where complex spatio-temporal dynamics and self-excited system response cannot be explained by standard linear analysis
NEWS
![bifurcation diagram - hyperelastic string](/files/2018/01/060218.gif)
Lyon Convention Center, France, July 17-22, 2022
Visit our mini-symposium on Fluid-Structure Interaction [MS-19]
Fluid-Structure-Interaction
![acoustic wave propagation - panel resonance](/files/2018/01/1811341386177.jpg)
Examples include vortex-induced vibration of tethered bodies in uniform flow and non-stationary dynamics of aeroelastic structures.
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Nano-Mechanics
![nonlinear tracking - scanning probe microscopy](/files/2019/07/Nano-Mechanics.jpg)
Examples include internal resonances in AFM arrays, and chaotic dynamics of a nano-resonator subject to laser irradiation.
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Open positions
![multi-functional sensing - nano-resonator array](/files/2018/01/1541289212535.jpg)
Grad students in nonlinear Nano-Mechanics and nonlinear Fluid-Structure-Interaction.
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