Model
Digital Document
Publisher
Florida Atlantic University
Description
In this report we study the Aizawa field by first computing a Taylor series
expansion for the solution of an initial value problem. We then look for singularities
(equilibrium points) of the field and plot the set of solutions which lie in the linear
subspace spanned by the eigenvectors. Finally, we use the Parameterization Method
to compute one and two dimensional stable and unstable manifolds of equilibria for
the system.
expansion for the solution of an initial value problem. We then look for singularities
(equilibrium points) of the field and plot the set of solutions which lie in the linear
subspace spanned by the eigenvectors. Finally, we use the Parameterization Method
to compute one and two dimensional stable and unstable manifolds of equilibria for
the system.
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