The Conley-Morse Graphs Software
Classes | Variables
custom::pop2p Namespace Reference

Parameters for sample computations for the 2-dimensional Leslie population model with 2 varying parameters. 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 = 2
 The dimension of the phase space. More...
 
const bool spaceWrapping [spaceDim] = {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 = 12
 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] = {50, 50}
 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 * spaceDim
 The number of all the parameters, both varying and fixed. More...
 
const double paramLeft [paramCount] = {8, 3, 0.7, 0.1}
 The left bounds on the parameters. More...
 
const double paramRight [paramCount] = {37, 50, 0.7, 0.1}
 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 = 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 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 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 maxImageDiameter = 2000
 The maximal allowed diameter of the cubical image of a signle box. More...
 
const int maxImageVolume = 4000
 The maximal allowed volume of the cubical image of a single box. More...
 
const int maxIndexPairSize = 1200000
 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 sample computations for the 2-dimensional Leslie population model with 2 varying parameters.

Variable Documentation

◆ compareMorseOrdering

const bool custom::pop2p::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 227 of file p_pop2p.h.

◆ finalDepth

const int custom::pop2p::finalDepth = 12

The final depth of subdivisions in the phase space.

Definition at line 60 of file p_pop2p.h.

◆ ignoreIsolationForConleyIndex

const bool custom::pop2p::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 242 of file p_pop2p.h.

◆ ignoreIsolationForContinuation

const bool custom::pop2p::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 234 of file p_pop2p.h.

◆ initialDepth

const int custom::pop2p::initialDepth = 6

The initial depth of subdivisions in the phase space.

Definition at line 57 of file p_pop2p.h.

◆ maxImageDiameter

const int custom::pop2p::maxImageDiameter = 2000

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 185 of file p_pop2p.h.

◆ maxImageVolume

const int custom::pop2p::maxImageVolume = 4000

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 190 of file p_pop2p.h.

◆ maxIndexPairSize

const int custom::pop2p::maxIndexPairSize = 1200000

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 199 of file p_pop2p.h.

◆ maxJoinConnection

const int custom::pop2p::maxJoinConnection = 1000

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

Definition at line 213 of file p_pop2p.h.

◆ maxJoinDistance

const int custom::pop2p::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 217 of file p_pop2p.h.

◆ maxJoinSize

const int custom::pop2p::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 209 of file p_pop2p.h.

◆ maxRefineSize0

const int custom::pop2p::maxRefineSize0 = 200000

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 170 of file p_pop2p.h.

◆ maxRefineSize1

const int custom::pop2p::maxRefineSize1 = 20000

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 175 of file p_pop2p.h.

◆ paramCount

const int custom::pop2p::paramCount = 2 * spaceDim

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

Definition at line 84 of file p_pop2p.h.

◆ paramDim

const int custom::pop2p::paramDim = 2

The dimension of the parameter space to iterate.

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

Definition at line 69 of file p_pop2p.h.

◆ paramLeft

const double custom::pop2p::paramLeft[paramCount] = {8, 3, 0.7, 0.1}

The left bounds on the parameters.

Definition at line 87 of file p_pop2p.h.

Referenced by custom::pop2p::SpaceWidthType::SpaceWidthType().

◆ paramRight

const double custom::pop2p::paramRight[paramCount] = {37, 50, 0.7, 0.1}

The right bounds on the parameters.

Definition at line 90 of file p_pop2p.h.

Referenced by custom::pop2p::SpaceWidthType::SpaceWidthType().

◆ paramSelect

const int custom::pop2p::paramSelect[paramDim] = {0, 1}

The numbers of parameters to subdivide.

Definition at line 76 of file p_pop2p.h.

◆ paramSubdiv

const short int custom::pop2p::paramSubdiv[paramDim] = {50, 50}

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 73 of file p_pop2p.h.

◆ refineDepth

const int custom::pop2p::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.

Set to zero for no refinements.

Definition at line 165 of file p_pop2p.h.

◆ spaceDim

const int custom::pop2p::spaceDim = 2

The dimension of the phase space.

Definition at line 50 of file p_pop2p.h.

Referenced by custom::pop2p::SpaceWidthType::operator[](), and custom::pop2p::SpaceWidthType::SpaceWidthType().

◆ spaceOffset

const SpaceOffsetType custom::pop2p::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_pop2p.h.

Referenced by custom::pop2p::SpaceWidthType::SpaceWidthType().

◆ spaceWidth

const SpaceWidthType custom::pop2p::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 154 of file p_pop2p.h.

◆ spaceWrapping

const bool custom::pop2p::spaceWrapping[spaceDim] = {false, false}

Is space wrapping (a.k.a.

periodic boundary conditions) in effect in the given directions?

Definition at line 54 of file p_pop2p.h.