activity
20192026
most citedHigh-Order Phase Reduction for Coupled Oscillators

2 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.soft2026

From agent-based dynamics to a kinetic theory of jellyfish swarms

Nicolas Perez, Erik Gengel, Zafrir Kuplik +1

Massive jellyfish swarms observed at sea can extend over tens of kilometres and contain millions of individuals, yet the mechanisms governing their formation and large-scale dynami…

nlin.AO2024

A Swarm Coherence Mechanism for Jellyfish

Erik Gengel, Zafrir Kuplik, Dror Angel +1

We present a theory of jellyfish swarm formation and exemplify it with simulations of active Brownian particles. The motivation for our analysis is the phenomenon of jellyfish bloo…

nlin.AO2022

A physics-based model of swarming jellyfish

Erik Gengel, Zafrir Kuplik, Dror Angel +1

We propose a model for the structure formation of jellyfish swimming based on active Brownian particles. We address the phenomena of counter-current swimming, avoidance of turbulen…

physics.data-an2021

Phase reconstruction from oscillatory data with iterated Hilbert transform embeddings -- benefits and limitations

Erik Gengel, Arkady Pikovsky

In the data analysis of oscillatory systems, methods based on phase reconstruction are widely used to characterize phase-locking properties and inferring the phase dynamics. The ma…

nlin.AO2020★ 2 cited

High-Order Phase Reduction for Coupled Oscillators

Erik Genge, Erik Teichmann, Michael Rosenblum +1

We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be intr…

math.NA2020

Phase reconstruction with iterated Hilbert transforms

Erik Gengel, Arkady Pikovsky

We present a study dealing with a novel phase reconstruction method based on iterated Hilbert transform embeddings. We show results for the Stuart-Landau oscillator observed by gen…

physics.comp-ph2019

Phase demodulation with iterative Hilbert transform embeddings

Erik Gengel, Arkady Pikovsky

We propose an efficient method for demodulation of phase modulated signals via iterated Hilbert transform embeddings. We show that while a usual approach based on one application o…