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 ...

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 ...

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

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...

Covers dynamical systems defined by mappings and differential equations. Hamiltonian mechanics, action-angle variables, results from KAM and bifurcation theory, phase plane analysis, Melnikov theory, ...

In the context of physical systems, dynamical systems are mathematical models that describe the time evolution of a system’s state, typically represented as points in a phase space governed by ...

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 ...

Many frequently observed real-world phenomena are nonlinear in nature. This means that their output does not change in a manner that is proportional to their input. These models have a degree of ...

Within Lake Kivu you can find some 300 cubic kilometers (72 cubic miles) of dissolved carbon dioxide – multiple orders of ...