The Conley-Morse Graphs Software
Classes | Variables
custom::globclog Namespace Reference

Parameters for the globally coupled logistic maps. More...

Classes

struct  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  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...
 

Variables

const int spaceDim = 3
 The dimension of the phase space. More...
 
const bool spaceWrapping [spaceDim] = {false, false, false}
 Is space wrapping (a.k.a. More...
 
const int initialDepth = 6
 The initial depth of subdivisions in the phase space. More...
 
const int finalDepth = 7
 The final depth of subdivisions in the phase space. More...
 
const int paramDim = 2
 The dimension of the parameter space to iterate. More...
 
const short int paramSubdiv [paramDim] = {128, 128}
 The numbers of subintervals in each direction of the parameter space. More...
 
const int paramSelect [paramDim] = {0, 1}
 The numbers of parameters to subdivide. More...
 
const int paramCount = 2
 The number of all the parameters, both varying and fixed. More...
 
const double paramLeft [paramCount] = {1.7462857142857142, 0.3251953125}
 The left bounds on the parameters. More...
 
const double paramRight [paramCount] = {1.7462857142857142, 0.3251953125}
 The right bounds on the parameters. More...
 
const SpaceOffsetType 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 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 refineDepth = 4
 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 maxRefineSize0 = 120000
 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 maxRefineSize1 = 50000
 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 maxImageDiameter = 15000
 The maximal allowed diameter of the cubical image of a signle box. More...
 
const int maxImageVolume = 30000
 The maximal allowed volume of the cubical image of a single box. More...
 
const int maxIndexPairSize = 2000000
 The maximal allowed size of the index pair. More...
 
const int 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 maxJoinConnection = 1000
 The maximal size of a connecting orbit between two Morse sets which can be considered for joining. More...
 
const int maxJoinDistance = 100
 The maximal allowed distance between two Morse sets which can be considered for joining. More...
 
const bool 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 ignoreIsolationForContinuation = true
 Ignoring the isolation problem while matching Morse decompositions. More...
 
const bool ignoreIsolationForConleyIndex = false
 Ignoring the isolation problem while computing the Conley index. More...
 

Detailed Description

Parameters for the globally coupled logistic maps.

Variable Documentation

◆ compareMorseOrdering

const bool custom::globclog::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?

Definition at line 198 of file p_globclog.h.

◆ finalDepth

const int custom::globclog::finalDepth = 7

The final depth of subdivisions in the phase space.

Definition at line 58 of file p_globclog.h.

◆ ignoreIsolationForConleyIndex

const bool custom::globclog::ignoreIsolationForConleyIndex = false

Ignoring the isolation problem while computing the Conley index.

If the constant is set to "true" then the index pair constructed on the basis of a combinatorial Morse set with respect to the dynamics restricted to the rectangular area of interest is also restricted to that area by means of projecting any boxes which stick out of the region onto a single layer of boxes around the boundary.

Definition at line 213 of file p_globclog.h.

◆ ignoreIsolationForContinuation

const bool custom::globclog::ignoreIsolationForContinuation = true

Ignoring the isolation problem while matching Morse decompositions.

If this constant is set to "true" then Morse sets are matched with each other indepent of whether the Conley index could be computed for them or not. Otherwise, 'correct' and 'wrong' Morse sets are matched with their counterparts in the same category only.

Definition at line 205 of file p_globclog.h.

◆ initialDepth

const int custom::globclog::initialDepth = 6

The initial depth of subdivisions in the phase space.

Definition at line 55 of file p_globclog.h.

◆ maxImageDiameter

const int custom::globclog::maxImageDiameter = 15000

The maximal allowed diameter of the cubical image of a signle box.

This limit is set up in order to prevent a blow-up of the program in the memory because of accumulating huge images of boxes.

Definition at line 156 of file p_globclog.h.

◆ maxImageVolume

const int custom::globclog::maxImageVolume = 30000

The maximal allowed volume of the cubical image of a single box.

This limit is set up in order to prevent a blow-up of the program in the memory because of accumulating huge images of boxes.

Definition at line 161 of file p_globclog.h.

◆ maxIndexPairSize

const int custom::globclog::maxIndexPairSize = 2000000

The maximal allowed size of the index pair.

This size is measured as the total number of cubes in the index pair and its forward image.

Definition at line 170 of file p_globclog.h.

◆ maxJoinConnection

const int custom::globclog::maxJoinConnection = 1000

The maximal size of a connecting orbit between two Morse sets which can be considered for joining.

Definition at line 184 of file p_globclog.h.

◆ maxJoinDistance

const int custom::globclog::maxJoinDistance = 100

The maximal allowed distance between two Morse sets which can be considered for joining.

Note: It doesn't work with space wrapping.

Definition at line 188 of file p_globclog.h.

◆ maxJoinSize

const int custom::globclog::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.

Set to zero to suppress joining.

Definition at line 180 of file p_globclog.h.

◆ maxRefineSize0

const int custom::globclog::maxRefineSize0 = 120000

The maximal allowed size of a set of cubes in the phase space which can be refined at the initial subdivision level.

Set to zero to suppress any refinements.

Definition at line 141 of file p_globclog.h.

◆ maxRefineSize1

const int custom::globclog::maxRefineSize1 = 50000

The maximal allowed size of a set of cubes in the phase space which can be refined at the subsequent subdivision levels.

Set to zero to suppress any refinements.

Definition at line 146 of file p_globclog.h.

◆ paramCount

const int custom::globclog::paramCount = 2

The number of all the parameters, both varying and fixed.

Definition at line 82 of file p_globclog.h.

◆ paramDim

const int custom::globclog::paramDim = 2

The dimension of the parameter space to iterate.

Only those parameters which are varying are taken into consideration here.

Definition at line 67 of file p_globclog.h.

◆ paramLeft

const double custom::globclog::paramLeft[paramCount] = {1.7462857142857142, 0.3251953125}

The left bounds on the parameters.

Definition at line 85 of file p_globclog.h.

◆ paramRight

const double custom::globclog::paramRight[paramCount] = {1.7462857142857142, 0.3251953125}

The right bounds on the parameters.

Definition at line 89 of file p_globclog.h.

◆ paramSelect

const int custom::globclog::paramSelect[paramDim] = {0, 1}

The numbers of parameters to subdivide.

Definition at line 74 of file p_globclog.h.

◆ paramSubdiv

const short int custom::globclog::paramSubdiv[paramDim] = {128, 128}

The numbers of subintervals in each direction of the parameter space.

The type of these numbers must match "parCoord" in "typedefs.h".

Definition at line 71 of file p_globclog.h.

◆ refineDepth

const int custom::globclog::refineDepth = 4

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.

Set to zero for no refinements.

Definition at line 136 of file p_globclog.h.

◆ spaceDim

const int custom::globclog::spaceDim = 3

The dimension of the phase space.

Definition at line 48 of file p_globclog.h.

◆ spaceOffset

const SpaceOffsetType custom::globclog::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.

Definition at line 110 of file p_globclog.h.

◆ spaceWidth

const SpaceWidthType custom::globclog::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.

Definition at line 125 of file p_globclog.h.

◆ spaceWrapping

const bool custom::globclog::spaceWrapping[spaceDim] = {false, false, false}

Is space wrapping (a.k.a.

periodic boundary conditions) in effect in the given directions?

Definition at line 52 of file p_globclog.h.