138 citations · 1.3k across the 50 of their papers we have counts for
5 papers · 1 filter
Controlling coexisting attractors of a class of non-autonomous dynamical systems
Zhi Zhang, Joseph Páez Chávez, Jan Sieber +1
This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path fo…
Mean-field models of dynamics on networks via moment closure: an automated procedure
Bert Wuyts, Jan Sieber
In the study of dynamics on networks, moment closure is a commonly used method to obtain low-dimensional evolution equations amenable to analysis. The variables in the evolution eq…
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…
Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop
Antony R. Humphries, Bernd Krauskopf, Stefan Ruschel +1
We study a scalar, first-order delay differential equation (DDE) with instantaneous and state-dependent delayed feedback, which itself may be delayed. The state dependence introduc…
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…