manifold_hyp Class Reference

This class represents an initial 1-dimensional manifold of saddle type, over which nearby manifolds will be graphed. More...

Public Members

manifold_hyp (int wambDim, int wstableDim, int wunstableDim, int wnumTDs, int wnumElts, int wNodesPerElt, baseMatrix<VEC *> *wGridPtr, baseMatrix<MAT *> *TBasisPtr, baseMatrix<VEC *> *wStBGridPtr, baseMatrix<VEC *> *wUnBGridPtr)

The explicit constructor for the class manifold_hyp. This is the only accessible constructor for this class.

~manifold_hyp ()

void evenMesh ()

void input (const graphMan_hyp &)

void input2 (const manifold_hyp &)

void setTangentBasis (const graphMan_hyp &)

void setNormalBasis ()

void fixSplit ()

MAT normalBundle (int eltNum, const REAL &tau)

MAT tangentBundle (int eltNum, const REAL &tau)

MAT rotation (const VEC &, const VEC &)

MAT stableBundle (int eltNum, const REAL &tau)

MAT unstableBundle (int eltNum, const REAL &tau)

MAT tangentBundleDeriv (int eltNum, const REAL &tau)

MAT normalBundleDeriv (int eltNum, const REAL &tau)

MAT stableBundleDeriv (int eltNum, const REAL &tau)

MAT unstableBundleDeriv (int eltNum, const REAL &tau)

MAT projectP (int eltNum, const REAL &tau)

MAT projectQ (int eltNum, const REAL &tau)

MAT projectQDeriv (int eltNum, const REAL &tau)

void setBundlePolys (int=0)

void setEtaPolys (int=0)

VEC interpolate (int, const REAL &)

baseMatrix<VEC *>* getgridPtr ()

const int getambDim ()

const int getstableDim ()

const int getunstableDim ()

const int getnumTruncDims ()

const int getnumElts ()

const int getnodesPerElt ()

const int getnumGridPts ()

void checkSplit (const REAL & = zerotol)

void checkSplitPts (const REAL & = zerotol)

void checkGridPts (const REAL & = zerotol)

void checkTangentPts (const REAL & = zerotol)

void write3dGeomFile_WS (char filename[])

void writeToFile (char filename[])

void readFromFile (char filename[])

Member Function Documentation

manifold_hyp::manifold_hyp(int ambDim,int stableDim,int unstableDim,int numTDs,int numElts,int NodesPerElt,baseMatrix<VEC *> *GridPtr,baseMatrix<MAT *> *TBasisPtr,baseMatrix<VEC *> *StBGridPtr,baseMatrix<VEC *> *UnBGridPtr)

The explicit constructor for the class manifold_hyp. This is the only accessible constructor for this class.

Parameters:: ambDim - a positive integer specifying the ambient dimension.; stableDim - a positive integer specifying the dimension of the stable subspace.; unstableDim - a positive integer specifying the dimension of the unstable subspace.; numTDs - a positive integer specifying the number of truncated dimensions.; numElts - a positive integer specifying the number of elements representing the manifold.; NodesPerElt - a positive integer specifying the number of nodes per element, which determines the order of approximation.; GridPtr - a pointer to a "baseMatrix" of pointers to "VEC"s. The "baseMatrix" is a numElts x nodesPerElt matrix, and the "VEC"s are vectors of "REAL"s of length ambDim. This data is a set of points in the ambient space giving the vertices of a simplicial complex, together with points in each simplex corresponding to the principal lattice.; TBasisPtr - a pointer to a "baseMatrix" of pointers to "MAT"s. The "baseMatrix" is a numElts x 2 matrix, and the "MAT"s are matrices of "REAL"s of size ambDim x 1, the columns of which form an orthonormal set. The column space of each "MAT" represents the tangent space of the manifold at the vertices of the elements.; StBGridPtr - a "baseMatrix" of pointers to "VEC"s. The "baseMatrix" is a numElts x nodesPerElt matrix, and the "VEC"s are vectors of "REAL"s of length ambDim. The data represents points in the stable bundle of the manifold, embedded in ambient space. A point of StBGridPtr minus a point of GridPtr must give a unit vector.; UnBGridPtr - a "baseMatrix" of pointers to "VEC"s. The "baseMatrix" is a numElts x nodesPerElt matrix, and the "VEC"s are vectors of "REAL"s of length ambDim. The data represents points in the unstable bundle of the manifold, embedded in ambient space. A point of UnBGridPtr minus a point of GridPtr must give a unit vector.

Returns:: a manifold_hyp object.

manifold_hyp.h

manifold_hyp.C

Generated at Sat Oct 16 03:55:28 1999 for Computing Invariant Manifolds Library by

manifold_hyp Class Reference

Public Members

Detailed Description

Member Function Documentation

manifold_hyp::manifold_hyp(int ambDim,int stableDim,int unstableDim,int numTDs,int numElts,int NodesPerElt,baseMatrix<VEC > GridPtr,baseMatrix<MAT > TBasisPtr,baseMatrix<VEC > StBGridPtr,baseMatrix<VEC > UnBGridPtr)