Search results
-
-
Title
-
APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
-
Author
-
Semiyari, Hamid
-
Date Created
-
2015
-
Subjects--Topical
-
Mathematics
-
Description
-
We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...
-
-
Title
-
Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
-
Author
-
Rowe, Ashley
-
Date Created
-
2018
-
Subjects--Topical
-
Mathematics
-
Description
-
This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...
-
-
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...
