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Computing Invariant Manifolds Library Compound Index

Here are the classes, structs and unions with brief descriptions:

• GTO_hyp (User interface for the graph transform algorithm. This class should be used in the saddle case for a one-dimensional manifold, like an invariant closed curve)
• Matrix (The Matrix template is a template for a matrix of numbers of some type)
• Vector (The Vector template is the template for a vector (array) of numbers of some type)
• baseMatrix (The baseMatrix template is the template for a matrix of objects)
• baseVector (The baseVector template is the template for a vector (array) of objects)
• bracketRoutine (This template provides a general routine for finding brackets on a root of a continuous real-valued function with interval domain)
• cylindricalMap ("map" which is specified in cylindrical coordinates)
• d1GTO_s (Interface for the graph transform algorithm. This class should be used in the stable case for a one-dimensional manifold, like an invariant closed curve)
• d1Grid (This class contains the grid points of a "d1baseMan". Each grid point is a point in ambient space with a 1-dimensional tangent space and a normal space attached (that is, a "d1GridPt"))
• d1GridPt (This class represents a single grid point of a "d1baseMan". A grid point is a point in ambient space with a 1-dimensional tangent space and a normal space attached)
• d1LocInvTrans_s (This class provides access to the linear graph transform algorithm for the purpose of determining the invariant transversal to an invariant manifold. This class handles the case of a stable 1-dimensional manifold, like an invariant closed curve)
• d1TCGTO_s (The d1GTO_s class provides an interface for the graph transform algorithm. This class should be used in the stable case for a one-dimensional manifold, like an invariant closed curve. This class is intended for the case that the ambient space has at least one truncated coordinate)
• d1baseGridPt (This class represents a single grid point of a "d1graphMan". A grid point is a point in ambient space with a 1-dimensional tangent space attached)
• d1baseMan (This class represents an initial attracting 1-dimensional manifold, over which nearby manifolds will be graphed)
• d1graphMan (This class represents a 1-dimensional attracting manifold, represented as a graph over an initial manifold (a "d1baseMan"))
• d1graphP (Lagrange or Hermite polynomial of arbitrary order on an interval)
• d1matrixP (Matrix-valued Lagrange polynomial of arbitrary order on an interval)
• d1newtRoutine (This template provides a general routine for finding a root of a differentiable real-valued function with interval domain)
• d1smallGrid (This class contains the grid points of a "d1graphMan". Each grid point is a point in ambient space with a 1-dimensional tangent space attached (that is, a "d1baseGridPt"))
• d2GTO_s (User interface for the graph transform algorithm. This class should be used in the stable case for a two-dimensional manifold, like an invariant torus)
• d2Grid (List of data determining a set of points in ambient space and (optionally) a 2-dimensional tangent space at each point and (optionally) a coordinate system at each point)
• d2GridPt (This class represents a single grid point for a 2 dimensional manifold)
• d2LTElement (This class represents a single 2-dimensional Lagrange triangular element of order 1, 2, or 3)
• d2LTManifold (This class represents an initial attracting 2-dimensional manifold, over which nearby manifolds will be graphed)
• d2TCGTO_s (User interface for the graph transform algorithm. This class should be used in the stable case for a two-dimensional manifold, like an invariant torus. This class is intended for the case that the ambient space has at least one truncated coordinate)
• d2graphMan (This class represents a 2-dimensional attracting manifold, represented as a graph over an initial manifold)
• graphMan_hyp (This class represents a 1-dimensional manifold of saddle type, represented as a graph over an initial manifold)
• locSplit (This class implements the linear graph transform to determine a hyperbolic splitting for a newly computed manifold, using as initial data the hyperbolic splitting of the initial manifold)
• manifold_hyp (This class represents an initial 1-dimensional manifold of saddle type, over which nearby manifolds will be graphed)
• map (Representation of a dynamical system)
• polarMap ("map" which is specified in polar coordinates)
• sphericalMap ("map" which is specified in spherical coordinates)
• timeDisc (This class provides a time discretization of a vector field)
• vecBundle (This class provides a representation of a vector bundle over a 1-dimensional manifold. It uses Lagrange polynomials of arbitrary order for interpolation)
• vecField (This class represents a smooth vector field depending on a parameter)

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