In this short note, we outline some results about complexity of orbits of a dynamical system, entropy and initial condition sensitivity in weakly chaotic dynamical systems. We present a technique to estimate orbit complexity by the use of data compression algorithms. We also outline how this technique has been applied by our research group to dynamical systems and to DNA sequences
We study the logistic map f(x) = lambdax(1 - x) on the unit square at the chaos threshold. By using ...
Equations governing the nonlinear dynamics of complex systems are usually unknown, and indirect meth...
Shannon entropy has been extensively used for characteriz- ing complexity of time series arising fr...
We present some new results that relate information to chaotic dynamics. In our approach the quantit...
In this chapter we aim at presenting applications of notions from Information Theory to the study of...
Shannon entropy has been extensively used for characterizing complexity of time series arising from ...
The purpose of this project is to compare the complexities of different species\u27 mitochondrial ge...
In this short note we review the concept of complexity in the context of Information Theory (Shannon...
A measure called physical complexity is established and calculated for a population of sequences, ba...
AbstractThis is a survey of recent results on the notion of symbolic complexity, which counts the nu...
We consider the number of Bowen sets necessary to cover a large measure subset of the phase space. T...
Acknowledgements The author wishes to acknowledge G. Giacomelli, M. Mulansky, and L. Ricci for early...
The adoption of the Kolmogorov-Sinai entropy is becoming a popular research tool among physicists, e...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Measuring the complexity of dynamical systems is important in order to classify them and better unde...
We study the logistic map f(x) = lambdax(1 - x) on the unit square at the chaos threshold. By using ...
Equations governing the nonlinear dynamics of complex systems are usually unknown, and indirect meth...
Shannon entropy has been extensively used for characteriz- ing complexity of time series arising fr...
We present some new results that relate information to chaotic dynamics. In our approach the quantit...
In this chapter we aim at presenting applications of notions from Information Theory to the study of...
Shannon entropy has been extensively used for characterizing complexity of time series arising from ...
The purpose of this project is to compare the complexities of different species\u27 mitochondrial ge...
In this short note we review the concept of complexity in the context of Information Theory (Shannon...
A measure called physical complexity is established and calculated for a population of sequences, ba...
AbstractThis is a survey of recent results on the notion of symbolic complexity, which counts the nu...
We consider the number of Bowen sets necessary to cover a large measure subset of the phase space. T...
Acknowledgements The author wishes to acknowledge G. Giacomelli, M. Mulansky, and L. Ricci for early...
The adoption of the Kolmogorov-Sinai entropy is becoming a popular research tool among physicists, e...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Measuring the complexity of dynamical systems is important in order to classify them and better unde...
We study the logistic map f(x) = lambdax(1 - x) on the unit square at the chaos threshold. By using ...
Equations governing the nonlinear dynamics of complex systems are usually unknown, and indirect meth...
Shannon entropy has been extensively used for characteriz- ing complexity of time series arising fr...
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