IMFComputeInvariantManifold | A group of routines to compute invariant manifolds |
IMFExpansion | A chart, which represents a neighborhood on a manifold |
IMFExpansionNSpace | An MFNSpace defining operations on a point on a fat trajectory |
IMFExpansionNVector | An MFNVector type for points on a fat trajectory |
IMFFatTrajectory | A fat trajectory is a trajectory in a flow with a local expansion attached that also evolves |
IMFFixedPoint | A group of utilities for computing stable and unstable manifolds of a hyperbolic fixed point |
IMFFlow | A flow is a way of defining a continuous dynamical system. It gives the time derivative of the state as a function of the state. If the flow depends on time it is call non-autonomous. An IMFFlow represents an autonomous flow, which is independant of time |
IMFInterpolation | The routine which locates an interpolation point for a new fat trajectory |
IMFSphereOnExpansion | A manifold which is the intersection of a ball about a point and an expansion about the same point. This manifold is used as a manifold of initial conditions for computing stable and unstable manifolds of hyperbolic fixed points |
MFAtlas | An atlas (or list) of charts, which represents a manifold |
MFAUTOBV | A solution manifold of a boundary value problem posed in AUTO's representation |
MFAUTOsMethod | |
MFAUTOTPBVP | A boundary value problem posed in AUTO's representation |
MFBinaryTree | A set of hierarchical bounding boxes for storing spherical balls |
MFChart | A chart, which represents a neighborhood on a manifold |
MFContinuationMethod | A continuation algorithm for computing a manifold. This is a base class which is passed to the Compute and Extend Atlas routines in MFAtlas. It provides the routine that these routines actually call. In addtion each method will have it's own parameters that control the algorith |
MFErrorHandler | An error handler, which can be changed how errors are handled |
MFImplicitMF | A manifold, defined by an equation F(u)=0 |
MFKVector | A euclidean vector with that same dimension as a manifold |
MFListOFCharts | Like it says, a list of charts. A return type for the binary tree search operation |
MFNKMatrix | An n by k matrix, mainly used to store a basis for the tangent space of a k-dimensional manifold embedded in an n- dimensional space |
MFNRegion | A subset of N-space |
MFNSpace | An embedding space (a metric space), which provides inner products and distances |
MFNVector | A vector that lies in the embedding space of a matrix |
MFPolytope | A polytope, which represents a neighborhood on a manifold |