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map Class Reference

The map class provides a representation of a dynamical system. More...

Inherited by cylindricalMap, polarMap, sphericalMap and timeDisc.

List of all members.

Public Members

• map (int, int, REAL, VEC (*pf)(VEC, REAL), VEC (*pif)(VEC, REAL), MAT (*pdf)(VEC, REAL))

  This is the explicit constructor of the map class.

• map (const map &)
• virtual ~map ()
• virtual VEC eval (const VEC &)
• virtual MAT deriv (const VEC &)
• virtual void eval_1 (VEC &)
• virtual void eval_2 (VEC &, MAT &)
• virtual VEC inv (const VEC &)
• int getn () const
• int hasInverse () const
• REAL getContPara ()
• void setContPara (REAL wcp)
• REAL* contParaPtr ()

Protected Members

• int n
• int hasInv
• VEC (* FPtr )(VEC, REAL)
• VEC (* invFPtr )(VEC, REAL)
• MAT (* derivFPtr )(VEC, REAL)
• REAL contParameter

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Detailed Description

The map class provides a representation of a dynamical system.

The map class represents a smooth map with or without an inverse. The map, its inverse, and its derivative are passed to a constructor via pointers to functions. This is a base class (with virtual member functions) for several special types of maps (dynamical systems).

Examples:

d1SaddleODE.C and d2StableTruncMap.C.

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Member Function Documentation

map::map(int hasInv,int n,REAL contPara,VEC (*FPtr)(VEC,REAL),VEC (*invFPtr)(VEC,REAL),MAT (*derivFPtr)(VEC,REAL))

This is the explicit constructor of the map class.

Parameters:

hasInv - an integer, either 0 or 1, specifying whether an inverse function will be passed to the constructor.

n - a positive integer specifying the ambient dimension.

contPara - a "REAL" value giving the initial value of the continuation parameter.

FPtr - )(VEC,REAL) a pointer to a function which has arguments ("VEC","REAL") and returns a "VEC". This function gives one forward iterate of the dynamical system, where the second argument is the value of the continuation parameter.

invFPtr - )(VEC,REAL) a pointer to a function which has arguments ("VEC","REAL") and returns a "VEC". This function gives one backward iterate of the dynamical system, where the second argument is the value of the continuation parameter. This is an optional argument.

derivFPtr - )(VEC,REAL) = a pointer to a function which has arguments ("VEC","REAL") and returns a "MAT". This function gives the derivative of one forward iterate of the dynamical system, where the second argument is the value of the continuation parameter.

Returns:

a map object.

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The documentation for this class was generated from the following files:

• map.h
• map.C

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