NormalForm Class Reference

Resonance-free normal form. More...

#include <NormalForm.h>

Collaboration diagram for NormalForm:

Public Member Functions
	NormalForm (const VpsInvMap< double > &map)
	Constructor. More...
	NormalForm ()
	NormalForm (const NormalForm &)
	~NormalForm ()
int	degreesOfFreedom () const
	Get number of stable degrees of freedom. More...
const Tps< double > &	normalForm () const
	Get normal-form. More...
const Tps< double > &	normalisingMap () const
	Get normalising map. More...
const Vector< complex< double > > &	eigenValues () const
	Get eigenvalues. More...
const Matrix< double > &	eigenVectors () const
	Get eigenvectors. More...
Matrix< double >	anharmonicity () const
	Get anharmonicities. More...
Tps< double >	invariant (int i) const
	Get invariant polynomial. More...

Protected Member Functions
void	orderModes (Vector< complex< double > >, Matrix< double >)

Private Member Functions
void	operator= (const NormalForm &)

Private Attributes
int	dimension
int	freedom
Tps< double >	A_Lie
Tps< double >	N_Lie
Vector< complex< double > >	lambda
Matrix< double >	V

Detailed Description

Resonance-free normal form.

Definition at line 41 of file NormalForm.h.

Constructor & Destructor Documentation

NormalForm::NormalForm

(

const VpsInvMap< double > &

map

)

Constructor.

Definition at line 74 of file NormalForm.cpp.

References A_Lie, abs(), arg(), dimension, DoubleEigen::eigenValues(), LieMap< T >::ExpMap(), Vps< T >::filter(), freedom, Tps< T >::getExponents(), Tps< T >::getSize(), Vps< T >::getTruncOrder(), Vps< T >::getVariables(), imag(), lambda, VpsMap< T >::linearTerms(), log(), N_Lie, orderModes(), DoubleEigen::packedEigenVectors(), pi, pow(), real(), Tps< T >::scaleMonomials(), Tps< T >::setCoefficient(), VpsMap< T >::substitute(), Tps< T >::substitute(), and V.

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NormalForm::NormalForm

(

)

Definition at line 54 of file NormalForm.cpp.

NormalForm::NormalForm

(

const NormalForm &

form

)

Definition at line 64 of file NormalForm.cpp.

NormalForm::~NormalForm

(

)

Definition at line 235 of file NormalForm.cpp.

Member Function Documentation

Matrix< double > NormalForm::anharmonicity

(

)

const

Get anharmonicities.

Definition at line 244 of file NormalForm.cpp.

References dimension, freedom, Tps< T >::getCoefficient(), N_Lie, Physics::pi, and pi.

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int NormalForm::degreesOfFreedom

(

)

const

Get number of stable degrees of freedom.

Definition at line 239 of file NormalForm.cpp.

References freedom.

const Vector< complex< double > > & NormalForm::eigenValues

(

)

const

Get eigenvalues.

Definition at line 307 of file NormalForm.cpp.

References lambda.

const Matrix< double > & NormalForm::eigenVectors

(

)

const

Get eigenvectors.

Definition at line 312 of file NormalForm.cpp.

References V.

Tps< double > NormalForm::invariant

(

int

i

)

const

Get invariant polynomial.

Definition at line 278 of file NormalForm.cpp.

References imag(), lambda, Array2D< T >::nrows(), Tps< T >::setCoefficient(), and V.

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const Tps< double > & NormalForm::normalForm

(

)

const

Get normal-form.

Definition at line 297 of file NormalForm.cpp.

References N_Lie.

const Tps< double > & NormalForm::normalisingMap

(

)

const

Get normalising map.

Definition at line 302 of file NormalForm.cpp.

References A_Lie.

void NormalForm::operator= ( const NormalForm &  )

private

void NormalForm::orderModes ( Vector< complex< double > >  tlam, Matrix< double >  tmat  )

protected

Definition at line 317 of file NormalForm.cpp.

References abs(), Physics::c, Array2D< T >::col_begin(), Array2D< T >::col_end(), dimension, freedom, interpolation::im(), imag(), lambda, interpolation::re(), real(), sqrt(), Array2D< T >::swapColumns(), and V.

Referenced by NormalForm().

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Member Data Documentation

Tps<double> NormalForm::A_Lie

private

Definition at line 99 of file NormalForm.h.

Referenced by NormalForm(), and normalisingMap().

int NormalForm::dimension

private

Definition at line 93 of file NormalForm.h.

Referenced by anharmonicity(), NormalForm(), and orderModes().

int NormalForm::freedom

private

Definition at line 96 of file NormalForm.h.

Referenced by anharmonicity(), degreesOfFreedom(), NormalForm(), and orderModes().

Vector<complex<double> > NormalForm::lambda

private

Definition at line 105 of file NormalForm.h.

Referenced by eigenValues(), invariant(), NormalForm(), and orderModes().

Tps<double> NormalForm::N_Lie

private

Definition at line 102 of file NormalForm.h.

Referenced by anharmonicity(), NormalForm(), and normalForm().

Matrix<double> NormalForm::V

private

Definition at line 108 of file NormalForm.h.

Referenced by eigenVectors(), invariant(), NormalForm(), and orderModes().

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

• src/Classic/Algebra/NormalForm.h
• src/Classic/Algebra/NormalForm.cpp