48 citations · 116 across the 10 of their papers we have counts for
5 papers · 1 filter
Algebraic conditions for second-moment stability boundaries of linear, time-invariant stochastic delay-differential equations
Zsolt Iklodi, Harry Dankowicz
For linear, time-invariant stochastic delay-differential equations with a single constant delay and both multiplicative and additive noise, this paper derives optimal semi-analytic…
Sensitivity Analysis for Periodic Orbits and Quasiperiodic Invariant Tori Using the Adjoint Method
Harry Dankowicz, Jan Sieber
This paper presents a rigorous framework for the continuation of solutions to nonlinear constraints and the simultaneous analysis of the sensitivities of test functions to constrai…
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…
Design of active network filters as hysteretic sensors
Yu Mao, Harry Dankowicz
This work aims to propose and design a class of networks of coupled linear and nonlinear oscillators, in which short bursts of exogenous excitation result in sustained endogenous n…
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…