Statistical characters of the intermittency in the Lorenz system are elucidated in terms of the markov chain. Symbolic dynamics is systematically constructed near the onset point of chaos by taking into account the topological similarity of the Lorenz map. The degree of intermittency is characterized by the Hausdorff dimension of the symbolic time series, and the critical behaviors of some chaos jJarameters are explained in the markovian framework of the symbolic dynamics. Some points are discussed about the break-down of the simple markovian identification for the intermittency, and their similarity to the Pareto-Zipf law is pointed out
<p>We use 10,000 time points of the variable of the chaotic Lorenz and Rossler equations and constr...
AbstractThis study compares the dynamic behaviors of the Lorenz system with complex variables to tha...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
A chaotic dynamics model creating Markovian strings of symbols as well as sequences of "words" is pr...
A new computational technique based on the symbolic description utilizing kneading invariants is pro...
The statistical properties of the intermittent chaos are investigated for a simple one dimensional m...
Symbolic time-series analysis is used for estimating the parameters of chaotic systems. It is assume...
Symbolic analysis of time series is extended to systems with inputs, in order to obtain input/output...
On the basis of the transformation to the rotating coordinates associated with the imbedded unstable...
We consider the dynamical behavior of Martin-Löf random points in dynamical systems over metric spac...
AbstractWe consider the dynamical behavior of Martin-Löf random points in dynamical systems over met...
we explore in multiregime dynamics the implications of the mathematical theory of symbolic dynamics,...
We introduce “state space persistence analysis” for deducing the symbolic dynamics of time series da...
The term "chaos" denotes persistent irregular behavior of a deterministic system (that is, one in wh...
In this thesis we treat the dynamics of chaotic systems and fractals. Chaotic systems are definedas ...
<p>We use 10,000 time points of the variable of the chaotic Lorenz and Rossler equations and constr...
AbstractThis study compares the dynamic behaviors of the Lorenz system with complex variables to tha...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
A chaotic dynamics model creating Markovian strings of symbols as well as sequences of "words" is pr...
A new computational technique based on the symbolic description utilizing kneading invariants is pro...
The statistical properties of the intermittent chaos are investigated for a simple one dimensional m...
Symbolic time-series analysis is used for estimating the parameters of chaotic systems. It is assume...
Symbolic analysis of time series is extended to systems with inputs, in order to obtain input/output...
On the basis of the transformation to the rotating coordinates associated with the imbedded unstable...
We consider the dynamical behavior of Martin-Löf random points in dynamical systems over metric spac...
AbstractWe consider the dynamical behavior of Martin-Löf random points in dynamical systems over met...
we explore in multiregime dynamics the implications of the mathematical theory of symbolic dynamics,...
We introduce “state space persistence analysis” for deducing the symbolic dynamics of time series da...
The term "chaos" denotes persistent irregular behavior of a deterministic system (that is, one in wh...
In this thesis we treat the dynamics of chaotic systems and fractals. Chaotic systems are definedas ...
<p>We use 10,000 time points of the variable of the chaotic Lorenz and Rossler equations and constr...
AbstractThis study compares the dynamic behaviors of the Lorenz system with complex variables to tha...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...