Search results
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Title
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Chaos in Non-Euclidean Geometries Arising in Mechanics
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Author
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BHATTACHARYA, TAPOBRATA
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Date Created
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2015
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Subjects--Topical
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Mechanical engineering, Mechanics, Mathematics
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Description
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Chaotic systems are a class of nonlinear dynamical systems that have captured the attention of mathematicians and engineers for long. Even though chaotic systems are deterministic in nature, long term prediction of behavior of such systems is diff...
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Title
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Self-Propelling Robotic Hydrofoil Arrays: Mechanics, Efficiency, and Optimization
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Author
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Bhansali, Rakshit
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Date Created
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2018
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Subjects--Topical
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Mechanical engineering, Robotics
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Description
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Mathematical models for the self-propulsion of articulated bodies in fluids at low Reynolds number can be interpreted geometrically in terms of connections in principal bundles. Visualization of the local curvature of a connection in this context ...
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Title
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Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
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Author
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Fairchild, Michael
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Date Created
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2015
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Subjects--Topical
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Mechanical engineering, Robotics, Mathematics
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Description
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This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...