Add to ORKGIn this paper we apply a new method of analysis of random behavior of chaotic systems based on the Prony decomposition. The generalized Prony spectrum (GPS) is used for quantitative description of a wide class of random functions when information about their probability distribution function is absent. The scaling properties of the random functions that keep their invariant properties on some range of scales help to fit the compressed function based on the Prony's decomposition. In paper [1] the first author (RRN) found the physical interpretation of this decomposition that includes the conventional Fourier decomposition as a partial case. It has been proved also that the GPS can be used for detection of quasi-periodic processes that are ap...
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such s...
In this work we propose to take certain chaotic systems as a reference for the design of PRNGs based...
As effective representations of complex systems, complex networks have attracted scholarly attention...
In this paper we apply a new method of analysis of random behavior of chaotic systems based on the P...
It has been shown that in reality at least two general scenarios of data structuring are possible: a...
The subject of this paper is the development of a nonlinearparametric identification method using ch...
This dissertation presents certain extensions and applications of the Prony method both in real and ...
Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subs...
We propose a method based on Lyapunov Exponente (LE) capable of measuring randomness of PRNGs (pseud...
The aim of this paper is to present a new simple indicator of chaos derived from the dynamics of the...
Many experimentalists were accustomed to think that any independent measurement forms a non-correlat...
In this chapter we present a new approach to the study of manifestations of chaos in real complex sy...
1 FFT techniques to study chaos A review of the many techniques used to map chaos is found in Contop...
Context. Interpreting the oscillations of massive and intermediate mass stars remains a challenging ...
Together with the variational indicators of chaos, the spectral analysis methods have also achieved ...
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such s...
In this work we propose to take certain chaotic systems as a reference for the design of PRNGs based...
As effective representations of complex systems, complex networks have attracted scholarly attention...
In this paper we apply a new method of analysis of random behavior of chaotic systems based on the P...
It has been shown that in reality at least two general scenarios of data structuring are possible: a...
The subject of this paper is the development of a nonlinearparametric identification method using ch...
This dissertation presents certain extensions and applications of the Prony method both in real and ...
Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subs...
We propose a method based on Lyapunov Exponente (LE) capable of measuring randomness of PRNGs (pseud...
The aim of this paper is to present a new simple indicator of chaos derived from the dynamics of the...
Many experimentalists were accustomed to think that any independent measurement forms a non-correlat...
In this chapter we present a new approach to the study of manifestations of chaos in real complex sy...
1 FFT techniques to study chaos A review of the many techniques used to map chaos is found in Contop...
Context. Interpreting the oscillations of massive and intermediate mass stars remains a challenging ...
Together with the variational indicators of chaos, the spectral analysis methods have also achieved ...
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such s...
In this work we propose to take certain chaotic systems as a reference for the design of PRNGs based...
As effective representations of complex systems, complex networks have attracted scholarly attention...