Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated scientists for a long time. While these dynamics can be represented by reaction ...

Mean dimension theory provides a critical framework for analysing the complexity of dynamical systems, particularly those with infinite-dimensional state spaces or infinite entropy. It extends ...

This paper provides a review of some results on the stability of random dynamical systems and indicates a number of applications to stochastic growth models, linear and non-linear time series models, ...

Jupiter, which has a mass more than twice that of all the planets combined, continues to fascinate researchers. The planet is characterized most often by its powerful jet streams and Great Red Spot ...

Recent work in dynamical systems theory has shown how chaotic systems are able to be controlled. One control scheme, adapted from Hayes, Grebogi, and Ott, was applied to a chaotic double scroll ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

This is a preview. Log in through your library . Abstract In dem Überblicksartikel wird versucht, neuere Entwicklungen in der Theorie nichtlinearer dynamischer Systeme zu schildern und ihre Bedeutung ...