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 ...

Dynamical systems and chaos theory provide a rigorous mathematical framework to describe, analyse and predict the evolution of systems over time. These fields study how simple deterministic rules can ...

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 ...

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 ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

The application of dynamical systems theory to areas outside of mathematics continues to be a vibrant, exciting, and fruitful endeavor. These application areas are diverse and multidisciplinary, ...

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