p_periodic.h File Reference

Parameters for a sample silly periodic map on the 2-torus. More...

Go to the source code of this file.

Classes
struct	custom::periodic::SpaceOffsetType
	An imitation of an array which returns the offset of the rectangular area in the phase space which contains the invariant sets of interest. More...
struct	custom::periodic::SpaceWidthType
	An imitation of an array which returns the width of the rectangular area in the phase space which contains the invariant sets of interest. More...

Namespaces
namespace	custom
	Customizable settings that are supposed to be modified and/or chosen by the user of the software.
namespace	custom::periodic
	Parameters for sample computations for a 2-dimensional periodic map.

Variables
const int	custom::periodic::spaceDim = 2
	The dimension of the phase space. More...
const bool	custom::periodic::spaceWrapping [spaceDim] = {true, true}
	Is space wrapping (a.k.a. More...
const int	custom::periodic::initialDepth = 5
	The initial depth of subdivisions in the phase space. More...
const int	custom::periodic::finalDepth = 8
	The final depth of subdivisions in the phase space. More...
const int	custom::periodic::paramDim = 2
	The dimension of the parameter space to iterate. More...
const short int	custom::periodic::paramSubdiv [paramDim] = {2, 2}
	The numbers of subintervals in each direction of the parameter space. More...
const int	custom::periodic::paramSelect [paramDim] = {0, 1}
	The numbers of parameters to subdivide. More...
const int	custom::periodic::paramCount = 2
	The number of all the parameters, both varying and fixed. More...
const double	custom::periodic::paramLeft [paramCount] = {0, 0}
	The left bounds on the parameters. More...
const double	custom::periodic::paramRight [paramCount] = {1, 1}
	The right bounds on the parameters. More...
const SpaceOffsetType	custom::periodic::spaceOffset = SpaceOffsetType ()
	An imitation of an array which returns the offset of the rectangular area in the phase space which contains the invariant sets of interest. More...
const SpaceWidthType	custom::periodic::spaceWidth = SpaceWidthType ()
	An imitation of an array which returns the width of the rectangular area in the phase space which contains the invariant sets of interest. More...
const int	custom::periodic::refineDepth = 3
	The number of refinements that should be done if a Morse set with the trivial index is encountered or if the image of a Morse set sticks out of the rectangular region to which the computations are restricted. More...
const int	custom::periodic::maxRefineSize0 = 200000
	The maximal allowed size of a set of cubes in the phase space which can be refined at the initial subdivision level. More...
const int	custom::periodic::maxRefineSize1 = 20000
	The maximal allowed size of a set of cubes in the phase space which can be refined at the subsequent subdivision levels. More...
const int	custom::periodic::maxImageDiameter = 2000
	The maximal allowed diameter of the cubical image of a signle box. More...
const int	custom::periodic::maxImageVolume = 4000
	The maximal allowed volume of the cubical image of a single box. More...
const int	custom::periodic::maxIndexPairSize = 1200000
	The maximal allowed size of the index pair. More...
const int	custom::periodic::maxJoinSize = 0
	The maximal number of cubes in a trivial Morse set for which an attempt is made to join this set with another near-by Morse set. More...
const int	custom::periodic::maxJoinConnection = 1000
	The maximal size of a connecting orbit between two Morse sets which can be considered for joining. More...
const int	custom::periodic::maxJoinDistance = 100
	The maximal allowed distance between two Morse sets which can be considered for joining. More...
const bool	custom::periodic::compareMorseOrdering = true
	Should the ordering between the Morse sets be taken into consideration while determining whether two Morse decompositions computed for adjacent parameter boxes are in the same class? More...
const bool	custom::periodic::ignoreIsolationForContinuation = true
	Ignoring the isolation problem while matching Morse decompositions. More...
const bool	custom::periodic::ignoreIsolationForConleyIndex = false
	Ignoring the isolation problem while computing the Conley index. More...

Detailed Description

Parameters for a sample silly periodic map on the 2-torus.

This is a configuration file for the program "cmgraphs.cpp" which defines the ranges of parameters to scan and the details of the phase space.

Author

Pawel Pilarczyk

Definition in file p_periodic.h.