Conceptual image of long-exposure night sky

Dynamical Systems

Activity Group leaders:

Theodore Kolokolnikov, Dalhousie, tkolokol@gmail.com

Dynamical Systems theory is one of the pillars of applied mathematics. It is used at the theoretical level for the study of ordinary differential equations and evolution equations in function spaces as well as applications in all domains of science and engineering. The main concepts of dynamical systems theory: phase space, invariant manifolds, bifurcations, chaos, fractals have left their mark in mathematics and in the understanding of the world around us through the eyes of mathematics.

The Dynamical Systems community in Canada is present in all regions and has researchers active in many subdomains: functional differential equations, numerical continuation, Hamiltonian systems, pattern formation, symmetric differential equations, and contributing to several application fields such as mathematical biology, celestial mechanics, epidemiology and climate changes. Furthermore, the community is well-connected with major international activity groups in dynamical systems.

New stimulating challenges in many areas of dynamical systems and its applications will arise in the future. The CAIMS activity group in dynamical systems will be an active contributor to these new developments and through CAIMS scientific activities will communicate these advances to the scientific community in Canada.