indknown.h

Go to the documentation of this file.

/////////////////////////////////////////////////////////////////////////////
///
/// @file indknown.h
///
/// Known Conley indices for a dynamical system.
/// Prepare a customized version of this file every time
/// a different system is considered if the Conley indices
/// which cannot be computed are actually known apriori
/// (e.g., for the origin if it is not isolated).
///
/// @author Pawel Pilarczyk
///
/////////////////////////////////////////////////////////////////////////////
 
// Copyright (C) 1997-2014 by Pawel Pilarczyk.
//
// This file is part of my research software package. This is free software:
// you can redistribute it and/or modify it under the terms of the GNU
// General Public License as published by the Free Software Foundation,
// either version 3 of the License, or (at your option) any later version.
//
// This software is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this software; see the file "license.txt". If not,
// please, see <https://www.gnu.org/licenses/>.
 
// Started on April 5, 2008. Last revision: April 5, 2008.
 
 
#ifndef _CMGRAPHS_INDKNOWN_H_
#define _CMGRAPHS_INDKNOWN_H_
 
// include selected header files from the CHomP library
#include "chomp/system/textfile.h"
#include "chomp/homology/chains.h"
#include "chomp/struct/integer.h"
 
// include local header files
#include "config.h"
#include "typedefs.h"
#include "conindex.h"
#include "morsedec.h"
#include "typedyns.h"
 
 
namespace custom {
 
/// Dummy version of a function for the computation of Conley indices
/// of Morse sets which fail the isolation condition.
namespace noKnownIndices {
 
 
// --------------------------------------------------
// ---------------- set Conley index ----------------
// --------------------------------------------------
 
/// Assigns a prescribed Conley index to the given Morse set
/// whose index could not be computed because of the lack of isolation.
/// This procedure assigns the known index of the origin
/// for the Leslie population model which comes from the linearization,
/// based on its eigenvalues computed by hand for the 2-dimensional model:
/// lambda_1 = theta_1 and lambda_2 = -p theta_2 / theta_1.
/// Returns "true" if the index was set, "false" otherwise.
inline bool setConleyIndex (theMorseDecompositionType &morseDec, int n,
        int subdivDepth, const double *leftMapParam,
        const double *rightMapParam, int paramCount)
{
        return false;
} /* setConleyIndex */
 
 
} // namespace noKnownIndices
} // namespace custom
 
 
#endif // _CMGRAPHS_INDKNOWN_H_