This class defines the time-t map for the Lorenz equations. More...
#include <m_lorenz.h>
Inheritance diagram for MapLorenz:
Public Member Functions | |
| MapLorenz () | |
| The constructor of a Lorenz map object. More... | |
| std::string | name () const |
| Returns the name of the map. More... | |
 Public Member Functions inherited from MapOdeTimeT | |
| MapOdeTimeT (const std::string &formula, int order, double step, int n) | |
| The constructor which takes the formula for the ODE in the format used in the CAPD library. More... | |
| ~MapOdeTimeT () | |
| The destructor. More... | |
| void | setParam (const double *left, const double *right, int n) |
| Sets the parameters to the given intervals defined by their left and right coordinates. More... | |
| void | compute (const IntervalVectorType &x, RectSetType &y, int dim, const spcCoord *coord, int subdiv) const |
| Computes a rectangular set that is an outer enclosure of the image of the given box. More... | |
| void | setBoundingBox (const double *left, const double *right, int dim, int stepsBetweenChecks) |
| Sets a bounding box for the area of interest. More... | |
| void | setDefaultBoundingBox () |
| Sets the bounding box to the default one, as defined when setting the phase space. More... | |
| bool | adjust (bool successful, int subdiv) |
| Adjusts parameters if necessary after a successful computation or after an unsuccessful computation of the graph of the map at a specific subdivision depth. More... | |
| std::string | getOptInfo () const |
| Gets a single line of information on optimization of the computation of the map, so that it can be used by maps created for the same and nearby parameter values. More... | |
| void | useOptInfo (const std::string &info) |
| Uses a prevously saved line of information on optimization of the computation of the map for the same or nearby parameter values. More... | |
| void | saveInternals (chomp::multiwork::mwData &data) const |
| Saves the internal parameters and other data of the map to the mwData structure. More... | |
| void | loadInternals (chomp::multiwork::mwData &data) |
| Retrieves the internal paramters and other data of the map from the mwData structure. More... | |
| double | getTimeStep (int subdiv) const |
| Returns an approximation of the currently recommended integration time t for the time-t map at the given subdivision depth. More... | |
| Public Member Functions inherited from MapTight | |
| MapTight () | |
| The default constructor of an object which describes a map. More... | |
| ~MapTight () | |
| The destructor of an object which describe a map. More... | |
| void | compute (const double *xleft, const double *xright, double *yleft, double *yright, int dim, const spcCoord *coord, int subdiv) const |
| Computes an interval bounding box for the image of a given box. More... | |
| virtual void | compute (const IntervalVectorType &x, RectSetType &y, int dim, const spcCoord *coord, int subdiv) const =0 |
| Computes a rectangular set that is an outer enclosure of the image of the given box. More... | |
| Public Member Functions inherited from MapType | |
| MapType () | |
| The default constructor of an object which describes a map. More... | |
| virtual | ~MapType () |
| The destructor of an object which describe a map. More... | |
| virtual void | setParam (const double *left, const double *right, int n) |
| Sets the parameters to the given intervals defined by their left and right coordinates. More... | |
| const double & | getLeftParam (int n) const |
| Returns the left value of the given parameter. More... | |
| const double & | getRightParam (int n) const |
| Returns the right value of the given parameter. More... | |
| virtual void | compute (const double *xleft, const double *xright, double *yleft, double *yright, int dim, const spcCoord *coord, int subdiv) const =0 |
| Computes the image of a box whose left and right coordinates are given. More... | |
| void | operator() (const IntervalType *x, IntervalType *y, int dim, const spcCoord *coord, int subdiv) const |
| An interface to the function 'compute' based on intervals. More... | |
| bool | adjust (bool successful, int subdiv) |
| Adjusts parameters if necessary after a successful computation or after an unsuccessful computation of the graph of the map at a specific subdivision level. More... | |
| std::string | getOptInfo () const |
| Gets a single line of information on optimization of the computation of the map, so that it can be used by maps created for the same and nearby parameter values. More... | |
| void | useOptInfo (const std::string &info) |
| Uses a prevously saved line of information on optimization of the computation of the map for the same or nearby parameter values. More... | |
| void | saveInternals (chomp::multiwork::mwData &data) const |
| Saves the internal parameters and other data of the map to the mwData structure. More... | |
| void | loadInternals (chomp::multiwork::mwData &data) |
| Retrieves the internal paramters and other data of the map from the mwData structure. More... | |
| virtual double | getTimeStep (int subdiv) const |
| Returns the time step, which is 1 for a map, or the time t of integration in case of a time-t map of a flow. More... | |
| virtual std::string | name () const |
| Returns the name of the map. More... | |
Additional Inherited Members | |
| Static Public Member Functions inherited from MapOdeTimeT | |
| template<class Array1 , class Array2 > | |
| static void | setPhaseSpace (const Array1 &offset, const Array2 &width, int dim, int subdivDepth, int stepsBetweenChecks=2) |
| Sets the phase space for an automatic generation of bounding boxes. More... | |
| Protected Attributes inherited from MapOdeTimeT | |
| double * | boundingBox |
| A bounding box for the area where the trajectories are computed. More... | |
| int | boundingBoxDim |
| The dimension of the bounding box. More... | |
Detailed Description
This class defines the time-t map for the Lorenz equations.
Definition at line 45 of file m_lorenz.h.
Constructor & Destructor Documentation
◆ MapLorenz()
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inline |
The constructor of a Lorenz map object.
Definition at line 58 of file m_lorenz.h.
Member Function Documentation
◆ name()
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inlinevirtual |
The documentation for this class was generated from the following file:
