Two new papers demonstrate the successes of using bifurcation theory and dynamical systems approaches to solve biological puzzles. Two new papers demonstrate the successes of using bifurcation theory ...

Dynamical systems theory provides a unifying mathematical framework for understanding how complex phenomena evolve over time. By employing differential and difference equations, researchers 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 ...

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, ...

Scientists use video footage to analyze Jupiter's transport barriers and examine prior conclusions about Jupiter's atmosphere. Jupiter, which has a mass more than twice that of all the planets ...

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

Earn an Online Dynamic Systems Certificate. Equip Yourself For Success in Model-Based Engineering. Our world is composed of dynamic systems: those that are not static but that change with time due to ...

Dynamical Systems is an active field in pure and applied mathematics that involves analysis, geometry and number theory. Dynamical systems can be obtained iterating a function or evolving in time the ...

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, ...