Lucas Wetzel https://lucaswetzel.de/ Lucas Wetzel — theoretical physics. Self-organized synchronization in networks of delay-coupled oscillators, from segmentation clocks to phase-locked loops. en Control theory of mutual synchronization in networks of delay-coupled phase-locked loops https://lucaswetzel.de/projects/control-theory-of-mutual-synchronization-in-networks-of-delay-coupled-phase-locked-loops/ https://lucaswetzel.de/projects/control-theory-of-mutual-synchronization-in-networks-of-delay-coupled-phase-locked-loops/ Sun, 01 May 2022 12:00:00 +0000 Gain and phase margins assume an entraining reference. Mutual coupling changes the transfer function itself. Ising Machines https://lucaswetzel.de/projects/ising-machines/ https://lucaswetzel.de/projects/ising-machines/ Sun, 01 May 2022 12:00:00 +0000 Mapping combinatorial optimisation onto networks of coupled oscillators, and what sub-harmonic injection locking, inertia and delay do to the answer. Synchronization of rhythm in human human, human machine and machine machine interactions https://lucaswetzel.de/projects/synchronization-of-rhythm-in-human-and-human-machine-interactions/ https://lucaswetzel.de/projects/synchronization-of-rhythm-in-human-and-human-machine-interactions/ Sun, 01 May 2022 12:00:00 +0000 What a room full of people clapping and a network of clocks have in common, and where the analogy stops. On the differences between universal emergent time (UEC) and universal coordinated time (UTC) https://lucaswetzel.de/projects/on-the-differences-between-uec-and-utc/ https://lucaswetzel.de/projects/on-the-differences-between-uec-and-utc/ Tue, 18 Dec 2018 12:00:00 +0000 Today's time standards feed a reference forward. What would a standard look like if the reference emerged from the network instead? Howto run independent voltage noise sources (IID and GWN) in LTSpice using Bv-sources https://lucaswetzel.de/projects/howto-run-independent-voltage-noise-sources-in-ltspice/ https://lucaswetzel.de/projects/howto-run-independent-voltage-noise-sources-in-ltspice/ Fri, 14 Dec 2018 12:00:00 +0000 LTSpice has no built-in noise source for transient runs. Bv-sources with white() get you independent, band-limited Gaussian noise. Spice simulation of self-organized synchronization with LTC6900 oscillators https://lucaswetzel.de/projects/spice-simulation-of-self-organized-synchronization-with-ltc6900-oscillators/ https://lucaswetzel.de/projects/spice-simulation-of-self-organized-synchronization-with-ltc6900-oscillators/ Fri, 27 Jul 2018 12:00:00 +0000 Two mutually delay-coupled DPLLs at 1 MHz in LTspice, and how the circuit parameters map onto the phase model. Science Slam @Elbhangfest in Dresden, 2018/06/23 https://lucaswetzel.de/projects/science-slam-elbhangfest-in-dresden-2018-06-23/ https://lucaswetzel.de/projects/science-slam-elbhangfest-in-dresden-2018-06-23/ Tue, 10 Jul 2018 12:00:00 +0000 Ask an audience to clap for an encore and they synchronize. Ask them to do it a billion times a second and you need a different idea. (English and German) Spice simulations of digital phase-locked loop systems https://lucaswetzel.de/projects/spice-simulations-of-dpll-systems/ https://lucaswetzel.de/projects/spice-simulations-of-dpll-systems/ Tue, 10 Jul 2018 12:00:00 +0000 Testing DPLL architectures down to the transistor level before soldering anything. Self-organized synchronization in electronic systems https://lucaswetzel.de/projects/self-organized-synchronization-in-electronic-systems/ https://lucaswetzel.de/projects/self-organized-synchronization-in-electronic-systems/ Fri, 30 Jun 2017 12:00:00 +0000 The concept, the phase model, the prototype network, and what happens when clocks are heterogeneous.