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.
const int initialDepth = 6
 The initial depth of subdivisions in the phase space.
const int finalDepth = 12
 The final depth of subdivisions in the phase space.
const int paramDim = 2
 The dimension of the parameter space to iterate.
const short int paramSubdiv [paramDim] = {50, 50}
 The numbers of subintervals in each direction of the parameter space.
const int paramSelect [paramDim] = {0, 1}
 The numbers of parameters to subdivide.
const int paramCount = 2 * spaceDim
 The number of all the parameters, both varying and fixed.
const double paramLeft [paramCount] = {8, 3, 0.7, 0.1}
 The left bounds on the parameters.
const double paramRight [paramCount] = {37, 50, 0.7, 0.1}
 The right bounds on the parameters.
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.
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.
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.
const int maxJoinConnection = 1000
 The maximal size of a connecting orbit between two Morse sets which can be considered for joining.
const int maxJoinDistance = 100
 The maximal allowed distance between two Morse sets which can be considered for joining.
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?
const bool ignoreIsolationForContinuation = true
 Ignoring the isolation problem while matching Morse decompositions.
const bool ignoreIsolationForConleyIndex = false
 Ignoring the isolation problem while computing the Conley index.


Detailed Description

Parameters for sample computations for the 2-dimensional Leslie population model with 2 varying parameters.


Variable Documentation

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 179 of file parpop2p.h.

const int custom::pop2p::finalDepth = 12

The final depth of subdivisions in the phase space.

Definition at line 57 of file parpop2p.h.

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 the any boxes which stick out of the region onto a single layer of boxes around the boundary.

Definition at line 194 of file parpop2p.h.

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 186 of file parpop2p.h.

const int custom::pop2p::initialDepth = 6

The initial depth of subdivisions in the phase space.

Definition at line 54 of file parpop2p.h.

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 165 of file parpop2p.h.

const int custom::pop2p::maxJoinDistance = 100

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

Definition at line 169 of file parpop2p.h.

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 161 of file parpop2p.h.

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

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

Definition at line 81 of file parpop2p.h.

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 66 of file parpop2p.h.

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

The left bounds on the parameters.

Definition at line 84 of file parpop2p.h.

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

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

The right bounds on the parameters.

Definition at line 87 of file parpop2p.h.

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

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

The numbers of parameters to subdivide.

Definition at line 73 of file parpop2p.h.

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 70 of file parpop2p.h.

const int custom::pop2p::spaceDim = 2

The dimension of the phase space.

Definition at line 51 of file parpop2p.h.

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

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 107 of file parpop2p.h.

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

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 151 of file parpop2p.h.


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