attractor.h File Reference

Construction of a cover of an attractor. More...

#include <iostream>
#include <memory>
#include <cmath>
#include "graph.h"
#include "streams.h"
#include "rounding.h"

Go to the source code of this file.

Classes
class	EdgeAdder< GraphType >
	Auxiliary class for adding edges to a graph. More...
Functions
template<class NumType>
NumType	diameter2 (const int dim, const NumType *leftBounds, const NumType *rightBounds)
	Computes an upper bound for the square of the diameter of a given box.
template<class MapType, class CoverType, class GraphType, class NumArray>
double	constructAttractor (const MapType &function, CoverType &cover, GraphType &graph, NumArray initialPoint, int iterCount, int maxCoverSize)
	Constructs a cover of an attractor for a given dynamical system.

---

Detailed Description

Construction of a cover of an attractor.

This file contains the definition of a function that constructs a cover of an attractor for a given dynamical system, and computes a directed graph representation of the dynamics on this cover.

Author:

Pawel Pilarczyk

Definition in file attractor.h.

---

Function Documentation

template<class MapType, class CoverType, class GraphType, class NumArray>

double constructAttractor	(	const MapType &	function,
		CoverType &	cover,
		GraphType &	graph,
		NumArray	initialPoint,
		int	iterCount,
		int	maxCoverSize
	)			[inline]

Constructs a cover of an attractor for a given dynamical system.

Returns an upper bound for the square of the diameter of map images. Throws an exception in case of failure.

Definition at line 101 of file attractor.h.

Referenced by henonAttractor().

template<class NumType>

NumType diameter2	(	const int	dim,
		const NumType *	leftBounds,
		const NumType *	rightBounds
	)			[inline]

Computes an upper bound for the square of the diameter of a given box.

Definition at line 78 of file attractor.h.

---