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Chaos in Non-Euclidean Geometries Arising in Mechanics
Title
Chaos in Non-Euclidean Geometries Arising in Mechanics
Author
BHATTACHARYA, TAPOBRATA
Date Created
2015
Subjects--Topical
Mechanical engineering, Mechanics, Mathematics
Description
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...
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Title
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author
Fairchild, Michael
Date Created
2015
Subjects--Topical
Mechanical engineering, Robotics, Mathematics
Description
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...
The mechanics and control of robotic systems exploiting viscous phenomena for planar locomotion
Title
The mechanics and control of robotic systems exploiting viscous phenomena for planar locomotion
Author
Hassing, Peter
Date Created
2015
Subjects--Topical
Mechanical engineering
Description
Viscous phenomena can be used to aid in the locomotion and control of robotic systems. With the aid of Lagrangian reduction techniques, it is shown that dissipation can be used to model nonholonomic, holonomic, and kinematically constrained system...