Nonlinear systems often exhibit aperiodical behaviour. It is called chaos only if its stochastical properties are caused not by random noise. Our knowledge about these so-called strange attractors is far from being complete. This work presents a necessary condition for the existence of chaos in addition to methods using simulation on a particular example
AbstractThe note outlines a scenario for a two-dimensional dynamic system to possess strange nonchao...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
We give a review of the most well-known examples of dynamical systems with chaotic dynamics, After a...
Nonlinear systems often exhibit aperiodical behaviour. It is called chaos only if its stochastical p...
Abstract Solution of non-linear dynamic systems is dependent on exact knowledge of the initial condi...
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...
Chaotic vibration is a new nonlinear vibration phenomenon where a periodic input to a nonlinear syst...
Chaos theory and associated analyses are being applied to a growing number of disciplines. Studies o...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
The dynamical response of an underdamped Duffing oscillator to a quasiperiodic force is investigated...
In this paper I review some of the basis principles of the theory of dynamical systems. I introduce ...
The present paper describes an unusual example of chaotic motion occurring in a nonsmooth mechanical...
AbstractThe note outlines a scenario for a two-dimensional dynamic system to possess strange nonchao...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
We give a review of the most well-known examples of dynamical systems with chaotic dynamics, After a...
Nonlinear systems often exhibit aperiodical behaviour. It is called chaos only if its stochastical p...
Abstract Solution of non-linear dynamic systems is dependent on exact knowledge of the initial condi...
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...
Chaotic vibration is a new nonlinear vibration phenomenon where a periodic input to a nonlinear syst...
Chaos theory and associated analyses are being applied to a growing number of disciplines. Studies o...
In this dissertation a study is made of chaotic behaviour, the bifurcation sequences leading to chao...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
The dynamical response of an underdamped Duffing oscillator to a quasiperiodic force is investigated...
In this paper I review some of the basis principles of the theory of dynamical systems. I introduce ...
The present paper describes an unusual example of chaotic motion occurring in a nonsmooth mechanical...
AbstractThe note outlines a scenario for a two-dimensional dynamic system to possess strange nonchao...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
We give a review of the most well-known examples of dynamical systems with chaotic dynamics, After a...