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, ...

2025 marked a historic year in mathematics. Researchers solved a major case of Hilbert’s ambitious sixth problem, proved a sweeping new theorem about hyperbolic surfaces, and settled the longstanding ...

Dynamical systems provide a rigorous framework for understanding the evolution of complex systems over time, encapsulating models ranging from classical mechanical systems to chaotic and fractal ...

Dynamical systems are mathematical models in which each point’s movement over time is set by a fixed rule. While these systems have some practical uses, such as tracking wildlife migration patterns or ...

Develops and analyzes approximate methods of solving the Bayesian inverse problem for high-dimensional dynamical systems. After briefly reviewing mathematical foundations in probability and statistics ...

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 ...