Lagrangian Descriptors: Discovery and Quantification of Phase Space Structure and Transport

This book is a collaborative project between researchers in the CHAMPS (Chemistry and Mathematics in Phase Space) research project champsproject.com Research in CHAMPS is concerned with discovering the geometrical structures in the phase space of dynamical systems that govern the many and varied mechanisms leading to a chemical reaction. Such dynamical systems are highly nonlinear, often time-dependent (both deterministic and stochastic), and generally high dimensional.

When faced with such a complex dynamical setting, the researcher needs computational techniques for discovering the relevant geometrical structures as well as the theoretical techniques for interpreting the results of computations in the context of specific applications. | champsproject.github.io/lagrangian_descriptors/