Browsing Mathematics by Author "Wieczorek, Sebastian"
Now showing items 16 of 6

Dynamics of two laterally coupled semiconductor lasers: strong and weakcoupling theory.
Erzgraber, H.; Wieczorek, Sebastian; Krauskopf, Bernd (American Physical Society, 2008)The stability and nonlinear dynamics of two semiconductor lasers coupled side to side via evanescent waves are investigated by using three different models. In the compositecavity model, the coupling between the lasers ... 
Excitability in ramped systems: the compostbomb instability
Wieczorek, Sebastian; Ashwin, Peter; Luke, Catherine M.; Cox, Peter M. (Royal Society, 2011)The paper studies a novel excitability type where a large excitable response appears when a system’s parameter is varied gradually, or ramped, above some critical rate. This occurs even though there is a (unique) stable ... 
Parameter shifts for nonautonomous systems in low dimension: Bifurcation and Rateinduced tipping
Ashwin, Peter; Perryman, C; Wieczorek, Sebastian (arXiv.org, 20150625)We discuss the nonlinear phenomena of irreversible tipping for nonautonomous systems where timevarying inputs correspond to a smooth "parameter shift" from one asymptotic value to another. We define notions of bifurcationinduced ... 
Shearinduced bifurcations and chaos in models of three coupled lasers
Blackbeard, Nicholas; Erzgraber, H.; Wieczorek, Sebastian (Society for Industrial and Applied Mathematics, 2011)We study nonlinear dynamics in a linear array of three coupled laser oscillators with rotational $\mathbb{S}^1$ and reflectional $\mathbb{Z}_2$ symmetry. The focus is on a coupledlaser model with dependence on three ... 
Stochastic bifurcation in noisedriven lasers and Hopf oscillators.
Wieczorek, Sebastian (American Physical Society, 2009)This paper considers nonlinear dynamics in an ensemble of uncoupled lasers, each being a limitcycle oscillator, which are driven by the same external white Gaussian noise. As the externalnoise strength increases, there ... 
Tipping points in open systems: bifurcation, noiseinduced and ratedependent examples in the climate system
Ashwin, Peter; Wieczorek, Sebastian; Vitolo, Renato; Cox, Peter M. (The Royal Society, 2012)Tipping points associated with bifurcations (Btipping) or induced by noise (Ntipping) are recognized mechanisms that may potentially lead to sudden climate change. We focus here on a novel class of tipping points, where ...