Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Poster: Nonlinear Dynamics, Granular Matter, and Machine Learning
DY 41.9: Poster
Wednesday, March 11, 2026, 15:00–18:00, P5
Nonlinear pulse dynamics in harmonic active mode-locking — •Shakiba Khajenooriranjbar1, Elias R. Koch1, Julien Javaloyes2, and Svetlana V. Gurevich1,2,3 — 1Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster 48149, Germany — 2Departament de Física & IAC-3, Universitat de les Illes Balears, Cra. de Valldemossa, km 7.5. E-07122 Palma, Spain — 3Center for Data Science and Complexity, Corrensstr. 2, 48149 Münster, Germany
Active mode-locking (AML) is a prominent technique for generating ultra-short laser pulses and frequency combs, finding applications in fields such as medicine and laser metrology. We employ a time-delayed model to study the multipulse dynamics in AML that is valid for large values of the round trip gain and losses. It allows us to access the typical regimes encountered in semiconductor lasers and to perform an extended bifurcation analysis. Close to the harmonic resonances and to the lasing threshold, we recover the Hermite-Gauss solutions. However, we also discover a global bifurcation scenario in which a single pulse can jump, over a slow time scale, between the different minima of the modulation potential. There, a periodic orbit terminates at an homoclinic limit point of the solution branch, where not all potential slots occupied with the pulses, forming a so-called time-crystal state. Next, we analyzed the interaction between pulses by analyzing their phase relations. Numerical path continuation reveals the existence of multistable splay states and the laser may wander between them under the influence of stochastic forces.
Keywords: time-delayed systems; bifurcation analysis; nonlinear laser dynamics; time-crystals