The paper Methods of continuation and their implementation in the COCO software platform with application to delay differential equations, published in Nonlinear Dynamics, Vol. 107, 3181- 3243 (2022), was recognized with the Best Paper Award for 2022 during the recent International Nonlinear Dynamics Conference, NODYCON 2023.
This paper reviews the role of continuation methods for bifurcation analysis and optimization, as well as the general construction paradigm of COCO and its compatibility with problems derived from variational principles. It further makes original contributions to a formulation of continuation problems describing suitably discretized delay-coupled multi-segment boundary-value problems with application to continuation of periodic orbits, quasiperiodic invariant tori, connecting orbits, and the solving of optimal control problems.