CApproximateBases< _DIM, T > Class Template Reference

Class responsible for finding stable and unstable directions. More...

#include <hyperbolic.h>

List of all members.

Public Member Functions

virtual DERIVATIVE_MAP< _DIM,
interval< T > > 
find (const MAP< 2 > &F, const MAP< 2 > &F_1, const DERIVATIVE< 2, T > &Df, const Coords< 2, T > &sides, int steps) const =0
 Pure virtual function which is used to construct semi-hyperbolic bases.


Detailed Description

template<int _DIM, class T>
class CApproximateBases< _DIM, T >

Class responsible for finding stable and unstable directions.

Member Function Documentation

template<int _DIM, class T>
virtual DERIVATIVE_MAP<_DIM, interval<T> > CApproximateBases< _DIM, T >::find ( const MAP< 2 > &  F,
const MAP< 2 > &  F_1,
const DERIVATIVE< 2, T > &  Df,
const Coords< 2, T > &  sides,
int  steps 
) const [pure virtual]

Pure virtual function which is used to construct semi-hyperbolic bases.

Parameters:
F,F_1 MAP<_DIM> representations of a function and inverse function.
Df DERIVATIVE<_DIM, _DIM, T> for which we want to construct bases.
sides is a Coords<_DIM, T> which represents rescaling coordinates.
steps determines how many forward and backward steps along trajectory to perform.
Returns:
DERIVATIVE_MAP<_DIM, interval<T> > approximate bases

Implemented in CApproximateBases1< T >.


The documentation for this class was generated from the following file:

Generated on Sat May 24 19:47:31 2008 for Semi-hyperbolicity by  doxygen 1.5.5