The Conley-Morse Graphs Software
Variables
custom::InfModel Namespace Reference

Parameters for the two coupled quintic Vanderpol maps. More...

Variables

const int spaceDim = 4
 The dimension of the phase space. More...
 
const bool spaceWrapping [spaceDim] = {false, false, false, false}
 Is space wrapping (a.k.a. More...
 
const int initialDepth = 3
 The initial depth of subdivisions in the phase space. More...
 
const int finalDepth = 9
 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] = {200, 200}
 The numbers of subintervals in each direction of the parameter space. More...
 
const int paramSelect [paramDim] = {2, 4}
 The numbers of parameters to subdivide. More...
 
const int paramCount = 16
 The number of all the parameters, both varying and fixed. More...
 
const double paramLeft [paramCount]
 The left bounds on the parameters. More...
 
const double paramRight [paramCount]
 The right bounds on the parameters. More...
 
const double spaceOffset [spaceDim] = {0, 0, 0, 0}
 The offset of the rectangular area in the phase space which contains the invariant sets of interest. More...
 
const double spaceWidth [spaceDim] = {100, 100, 100, 100}
 The width of the rectangular area in the phase space which contains the invariant sets of interest. More...
 
const int refineDepth = 5
 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 = 3000
 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 = 3000
 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 = 50
 The maximal allowed diameter of the cubical image of a signle box. More...
 
const int maxImageVolume = 361
 The maximal allowed volume of the cubical image of a single box. More...
 
const int maxIndexPairSize = 10000
 The maximal allowed size of the index pair. More...
 
const int maxJoinSize = 2000
 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 = 10
 The maximal allowed distance between two Morse sets which can be considered for joining. More...
 
const bool compareMorseOrdering = false
 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 two coupled quintic Vanderpol maps.

Variable Documentation

◆ compareMorseOrdering

const bool custom::InfModel::compareMorseOrdering = false

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 202 of file p_inf.h.

◆ finalDepth

const int custom::InfModel::finalDepth = 9

The final depth of subdivisions in the phase space.

Definition at line 55 of file p_inf.h.

◆ ignoreIsolationForConleyIndex

const bool custom::InfModel::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 all the boxes that stick out of the region onto a single layer of boxes around the boundary.

Definition at line 217 of file p_inf.h.

◆ ignoreIsolationForContinuation

const bool custom::InfModel::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 209 of file p_inf.h.

◆ initialDepth

const int custom::InfModel::initialDepth = 3

The initial depth of subdivisions in the phase space.

Definition at line 52 of file p_inf.h.

◆ maxImageDiameter

const int custom::InfModel::maxImageDiameter = 50

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. Should be at least 3 to accept repelling boxes.

Definition at line 159 of file p_inf.h.

◆ maxImageVolume

const int custom::InfModel::maxImageVolume = 361

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. Should be at least 3^spaceDim to accept repelling boxes.

Definition at line 165 of file p_inf.h.

◆ maxIndexPairSize

const int custom::InfModel::maxIndexPairSize = 10000

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 174 of file p_inf.h.

◆ maxJoinConnection

const int custom::InfModel::maxJoinConnection = 1000

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

Definition at line 188 of file p_inf.h.

◆ maxJoinDistance

const int custom::InfModel::maxJoinDistance = 10

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 192 of file p_inf.h.

◆ maxJoinSize

const int custom::InfModel::maxJoinSize = 2000

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 184 of file p_inf.h.

◆ maxRefineSize0

const int custom::InfModel::maxRefineSize0 = 3000

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 143 of file p_inf.h.

◆ maxRefineSize1

const int custom::InfModel::maxRefineSize1 = 3000

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 148 of file p_inf.h.

◆ paramCount

const int custom::InfModel::paramCount = 16

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

Definition at line 80 of file p_inf.h.

◆ paramDim

const int custom::InfModel::paramDim = 2

The dimension of the parameter space to iterate.

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

Definition at line 64 of file p_inf.h.

◆ paramLeft

const double custom::InfModel::paramLeft[paramCount]
Initial value:
= {100, 100, 0, -1, 0.48, -1,
0.1, 0.1, 12, 12, 0.5, 0.5, 0.2, 0.2, 16, 16}

The left bounds on the parameters.

Definition at line 88 of file p_inf.h.

◆ paramRight

const double custom::InfModel::paramRight[paramCount]
Initial value:
= {100, 100, 0.5, -1, 0.53, -1,
0.1, 0.1, 12, 12, 0.5, 0.5, 0.2, 0.2, 16, 16}

The right bounds on the parameters.

Definition at line 94 of file p_inf.h.

◆ paramSelect

const int custom::InfModel::paramSelect[paramDim] = {2, 4}

The numbers of parameters to subdivide.

Definition at line 71 of file p_inf.h.

◆ paramSubdiv

const short int custom::InfModel::paramSubdiv[paramDim] = {200, 200}

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 68 of file p_inf.h.

◆ refineDepth

const int custom::InfModel::refineDepth = 5

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 138 of file p_inf.h.

◆ spaceDim

const int custom::InfModel::spaceDim = 4

The dimension of the phase space.

Definition at line 45 of file p_inf.h.

◆ spaceOffset

const double custom::InfModel::spaceOffset[spaceDim] = {0, 0, 0, 0}

The offset of the rectangular area in the phase space which contains the invariant sets of interest.

Definition at line 123 of file p_inf.h.

◆ spaceWidth

const double custom::InfModel::spaceWidth[spaceDim] = {100, 100, 100, 100}

The width of the rectangular area in the phase space which contains the invariant sets of interest.

Definition at line 127 of file p_inf.h.

◆ spaceWrapping

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

Is space wrapping (a.k.a.

periodic boundary conditions) in effect in the given directions?

Definition at line 49 of file p_inf.h.