48 citations · 58 across the 3 of their papers we have counts for
3 papers
math.DS2024★ 2 cited
Adjoint-Based Projections for Uncertainty Quantification near Stochastically Perturbed Limit Cycles and Tori
Zaid Ahsan, Harry Dankowicz, Christian Kuehn
This paper presents a new boundary-value problem formulation for quantifying uncertainty induced by the presence of small Brownian noise near transversally stable periodic orbits (…
math.DS2021★ 48 cited
Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations
Zaid Ahsan, Harry Dankowicz, Mingwu Li +1
This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with particula…
math.DS2019★ 8 cited
Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay
Zaid Ahsan, Harry Dankowicz, Jan Sieber
This paper generalizes a previously-conceived, continuation-based optimization technique for scalar objective functions on constraint manifolds to cases of periodic and quasiperiod…