I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forcing functions is then considered. The normal approach found in the literature is to start with an ordinary differential equation, change to a difference equation, and then plot a graph. The question of how to detect a strange non-chaotic attractor without the underlying ordinary differential equation is posed and some pointers are given as to a possible method of solution using statistical analysis. References Banks J., Brooks J., Cairns G., Davis G. and Stacey P., On Devaney's definition of chaos, American Mathematics Monthly. 99 (1992), 332--334. Box G. E. P, Jenkins G. M. and Reinsel G. C., Time series analysis John Wiley and S...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
Acknowledgments This work is supported by the National Natural Science Foundation of China (NNSFC) (...
I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forc...
A paraphrase of Tolstoy that has become popular in the field of nonlinear dynamics is that while all...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
Nonlinear systems often exhibit aperiodical behaviour. It is called chaos only if its stochastical p...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
Abstract Solution of non-linear dynamic systems is dependent on exact knowledge of the initial condi...
Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical...
Chaos theory and associated analyses are being applied to a growing number of disciplines. Studies o...
Abstract: The surrounding reality can be viewed as the result of the interaction of dynamic systems ...
We present methods to detect the transitions from quasiperiodic to chaotic motion via strange noncha...
detect chaos in noisy ecological systems. One message of our paper is that if a dynamic model is ava...
We introduce the basic concepts and methods to formalize and analyze deterministic chaos, with links...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
Acknowledgments This work is supported by the National Natural Science Foundation of China (NNSFC) (...
I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forc...
A paraphrase of Tolstoy that has become popular in the field of nonlinear dynamics is that while all...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
Nonlinear systems often exhibit aperiodical behaviour. It is called chaos only if its stochastical p...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
Abstract Solution of non-linear dynamic systems is dependent on exact knowledge of the initial condi...
Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical...
Chaos theory and associated analyses are being applied to a growing number of disciplines. Studies o...
Abstract: The surrounding reality can be viewed as the result of the interaction of dynamic systems ...
We present methods to detect the transitions from quasiperiodic to chaotic motion via strange noncha...
detect chaos in noisy ecological systems. One message of our paper is that if a dynamic model is ava...
We introduce the basic concepts and methods to formalize and analyze deterministic chaos, with links...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
Acknowledgments This work is supported by the National Natural Science Foundation of China (NNSFC) (...