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 ...

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

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 ...

Applications of Dynamical Systems Theory to Astrodynamics and Celestial Mechanics The underlying dynamical structures that exist within multi-body systems can be leveraged to enable the design of ...

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 ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...

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 ...

We consider conservative dynamical systems associated with potentials V which have singularities at a set S: V(x) → -∞ as x → S. It is shown that various "action" integrals satisfy Condition C of ...

Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors. Apply feedback control laws to stabilize systems and achieve performance goals. Control systems ...