Add to ORKGOn the basis of an unified theoretical formulation of resonances and resonance states in the rigged Hilbert spaces the spectral analysis of the Frobenius-Perron operators corresponding to the exactly solvable chaotic map has been developed. Tent map as the simplest representative of exactly solvable chaos have been studied in details in frames of the developed approach. An extension the Frobenius-Perron operator resolvent to a suitable rigged Hilbert space has been constructed in particular and the properties of the generalized spectral decomposition have been studied. Resonances and resonance projections for this map have been calculated explicitly
Recent work on positive matrices has resulted in a new matrix method for generating chaotic maps wit...
We study the transfer operators for a family depending on the parameter which interpolates between ...
We study the transfer operators for a family depending on the parameter which interpolates between ...
AbstractResonances of dynamical systems are defined as the singularities of the analytically continu...
AbstractResonances of dynamical systems are defined as the singularities of the analytically continu...
We discuss spectral representations of the Perron-Frobenius operator, U , associated with a highly c...
AbstractWe propose a unified operator theoretic formulation of resonances and resonance states in ri...
The spectrum of a quantum system has in general bound, scattering and resonant parts. The Hilbert sp...
The notion of a rigged Hilbert space, introduced by Gel'fand and Vilenkin [4] enables one to fo...
A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^...
A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^...
We construct a generalized spectral decomposition of the Frobenius-Perron and Koopman operators of t...
In this paper we demonstrate the application of the Frobenius-Perron operator to the statistical ana...
This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in ...
In the first part of the paper we present a systematic method for the eigensystem analysis on polyno...
Recent work on positive matrices has resulted in a new matrix method for generating chaotic maps wit...
We study the transfer operators for a family depending on the parameter which interpolates between ...
We study the transfer operators for a family depending on the parameter which interpolates between ...
AbstractResonances of dynamical systems are defined as the singularities of the analytically continu...
AbstractResonances of dynamical systems are defined as the singularities of the analytically continu...
We discuss spectral representations of the Perron-Frobenius operator, U , associated with a highly c...
AbstractWe propose a unified operator theoretic formulation of resonances and resonance states in ri...
The spectrum of a quantum system has in general bound, scattering and resonant parts. The Hilbert sp...
The notion of a rigged Hilbert space, introduced by Gel'fand and Vilenkin [4] enables one to fo...
A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^...
A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^...
We construct a generalized spectral decomposition of the Frobenius-Perron and Koopman operators of t...
In this paper we demonstrate the application of the Frobenius-Perron operator to the statistical ana...
This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in ...
In the first part of the paper we present a systematic method for the eigensystem analysis on polyno...
Recent work on positive matrices has resulted in a new matrix method for generating chaotic maps wit...
We study the transfer operators for a family depending on the parameter which interpolates between ...
We study the transfer operators for a family depending on the parameter which interpolates between ...