custom::popOriginInd2d Namespace Reference

Customized version of a function for the computation of Conley indices of Morse sets which fail the isolation condition. More...

Functions
bool	setConleyIndex (theMorseDecompositionType &morseDec, int n, int subdivDepth, const double *leftMapParam, const double *rightMapParam, int paramCount)
	Assigns a prescribed Conley index to the given Morse set whose index could not be computed because of the lack of isolation. More...

Detailed Description

Customized version of a function for the computation of Conley indices of Morse sets which fail the isolation condition.

This version is valid for the 2-dimensional Leslie population model and returns the Conley index of the origin if the Morse set seems to be a small neighborhood of the origin.

Function Documentation

setConleyIndex()

bool custom::popOriginInd2d::setConleyIndex ( theMorseDecompositionType &  morseDec, int  n, int  subdivDepth, const double *  leftMapParam, const double *  rightMapParam, int  paramCount  )

inline

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.

Definition at line 68 of file indpop2d.h.

References custom::difference::spaceDim, custom::difference::spaceOffset, and custom::difference::spaceWidth.