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The Conley-Morse Graphs Software
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Parameters for sample computations for the Standard Map. More...
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| const int | spaceDim = 2 |
| The dimension of the phase space. More... | |
| const bool | spaceWrapping [spaceDim] = {true, true} |
| Is space wrapping (a.k.a. More... | |
| const int | initialDepth = 8 |
| The initial depth of subdivisions in the phase space. More... | |
| const int | finalDepth = 8 |
| 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, 1} |
| 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] = {0.5, 0} |
| The left bounds on the parameters. More... | |
| const double | paramRight [paramCount] = {0.5, 0} |
| The right bounds on the parameters. More... | |
| const double | spaceOffset [spaceDim] = {0, -1} |
| The offset of the rectangular area in the phase space which contains the invariant sets of interest. More... | |
| const double | spaceWidth [spaceDim] = {2, 2} |
| 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... | |
Parameters for sample computations for the Standard Map.
| const bool custom::standardmap::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 176 of file p_stdmap.h.
| const int custom::standardmap::finalDepth = 8 |
The final depth of subdivisions in the phase space.
Definition at line 58 of file p_stdmap.h.
| const bool custom::standardmap::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 191 of file p_stdmap.h.
| const bool custom::standardmap::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 183 of file p_stdmap.h.
| const int custom::standardmap::initialDepth = 8 |
The initial depth of subdivisions in the phase space.
Definition at line 55 of file p_stdmap.h.
| const int custom::standardmap::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 134 of file p_stdmap.h.
| const int custom::standardmap::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 139 of file p_stdmap.h.
| const int custom::standardmap::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 148 of file p_stdmap.h.
| const int custom::standardmap::maxJoinConnection = 1000 |
The maximal size of a connecting orbit between two Morse sets which can be considered for joining.
Definition at line 162 of file p_stdmap.h.
| const int custom::standardmap::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 166 of file p_stdmap.h.
| const int custom::standardmap::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 158 of file p_stdmap.h.
| const int custom::standardmap::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 119 of file p_stdmap.h.
| const int custom::standardmap::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 124 of file p_stdmap.h.
| const int custom::standardmap::paramCount = 2 |
The number of all the parameters, both varying and fixed.
The first parameter is K > 0, the second one is ignored. The dynamics is globally chaotic around K = 0.97.
Definition at line 84 of file p_stdmap.h.
| const int custom::standardmap::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_stdmap.h.
| const double custom::standardmap::paramLeft[paramCount] = {0.5, 0} |
The left bounds on the parameters.
Definition at line 87 of file p_stdmap.h.
| const double custom::standardmap::paramRight[paramCount] = {0.5, 0} |
The right bounds on the parameters.
Definition at line 90 of file p_stdmap.h.
| const int custom::standardmap::paramSelect[paramDim] = {0, 1} |
The numbers of parameters to subdivide.
Definition at line 74 of file p_stdmap.h.
| const short int custom::standardmap::paramSubdiv[paramDim] = {50, 1} |
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_stdmap.h.
| const int custom::standardmap::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 114 of file p_stdmap.h.
| const int custom::standardmap::spaceDim = 2 |
The dimension of the phase space.
Definition at line 48 of file p_stdmap.h.
| const double custom::standardmap::spaceOffset[spaceDim] = {0, -1} |
The offset of the rectangular area in the phase space which contains the invariant sets of interest.
Definition at line 99 of file p_stdmap.h.
| const double custom::standardmap::spaceWidth[spaceDim] = {2, 2} |
The width of the rectangular area in the phase space which contains the invariant sets of interest.
Definition at line 103 of file p_stdmap.h.
| const bool custom::standardmap::spaceWrapping[spaceDim] = {true, true} |
Is space wrapping (a.k.a.
periodic boundary conditions) in effect in the given directions?
Definition at line 52 of file p_stdmap.h.
1.9.4