activity
20022024
most citedSolving Fokker-Planck equation using deep learning

157 citations · 977 across the 32 of their papers we have counts for

collaborators

33 papers

cs.SI2024★ 40 cited

Protection Degree and Migration in the Stochastic SIRS Model: A Queueing System Perspective

Yuhan Li, Ziyan Zeng, Minyu Feng +1

With the prevalence of COVID-19, the modeling of epidemic propagation and its analyses have played a significant role in controlling epidemics. However, individual behaviors, in pa…

nlin.AO2022★ 12 cited

Identification of single- and double-well coherence-incoherence patterns by the binary distance matrix

Vagner dos Santos, Matheus Rolim Sales, Sishu Shankar Muni +4

The study of chimera states or, more generally, coherence-incoherence patterns has led to the development of several tools for their identification and characterization. In this wo…

physics.soc-ph2022★ 7 cited

Teleconnections among Tipping Elements in the Earth System

Teng Liu, Dean Chen, Lan Yang +10

Tipping elements of the Earth system may shift abruptly and irreversibly from one state to another at tipping points, resulting in a growing threat to our society. Yet, it is not f…

cond-mat.stat-mech2022

Dynamic scaling and stochastic fractal in nucleation and growth processes

Amit Lahiri, Md. Kamrul Hassan, Bernd Blasius +1

A class of nucleation and growth models of a stable phase (S-phase) is investigated for various different growth velocities. It is shown that for growth velocities a…

physics.geo-ph2022★ 8 cited

Study of Interaction and Complete Merging of Binary Cyclones Using Complex Networks

Somnath De, Shraddha Gupta, Vishnu R Unni +5

Cyclones are amongst the most hazardous extreme weather events on Earth. When two co-rotating cyclones come in close proximity, a possibility of complete merger (CM) arises due to…

cs.SI2022

PrEF: Percolation-based Evolutionary Framework for the diffusion-source-localization problem in large networks

Yang Liu, Xiaoqi Wang, Xi Wang +2

We assume that the state of a number of nodes in a network could be investigated if necessary, and study what configuration of those nodes could facilitate a better solution for th…

physics.ao-ph2022

Perspectives on the importance of complex systems in understanding ourclimate and climate change -- The Nobel Prize in Physics 2021

Shraddha Gupta, Nikolaos Mastrantonas, Cristina Masoller +1

The Nobel Prize in Physics 2021 was awarded to Syukuro Manabe, Klaus Hasselmann, and Giorgio Parisi for their 'groundbreaking contributions to our understanding of complex systems'…

nlin.AO2022★ 26 cited

Rijke tube: A nonlinear oscillator

Krishna Manoj, Samadhan A. Pawar, Jürgen Kurths +1

Dynamical systems theory has emerged as an interdisciplinary area of research to characterize the complex dynamical transitions in real-world systems. Various nonlinear dynamical p…

nlin.AO2022

Ambient Forcing: Sampling Local Perturbations in Constrained Phase Spaces

Anna Büttner, Jürgen Kurths, Frank Hellmann

Ambient Forcing is a novel method to sample random states from manifolds of differential-algebraic equations (DAE). These states can represent local perturbations of nodes in power…

physics.soc-ph2021★ 37 cited

Predicting Basin Stability of Power Grids using Graph Neural Networks

Christian Nauck, Michael Lindner, Konstantin Schürholt +5

The prediction of dynamical stability of power grids becomes more important and challenging with increasing shares of renewable energy sources due to their decentralized structure,…

physics.comp-ph2021★ 91 cited

MFDFA: Efficient Multifractal Detrended Fluctuation Analysis in Python

Leonardo Rydin Gorjão, Galib Hassan, Jürgen Kurths +1

Multifractal detrended fluctuation analysis (MFDFA) has become a central method to characterise the variability and uncertainty in empiric time series. Extracting the fluctuations…

physics.soc-ph2020★ 15 cited

Anticipation-induced social tipping -- Can the environment be stabilised by social dynamics?

Paul Manuel Müller, Jobst Heitzig, Jürgen Kurths +2

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environm…

cs.CV2020★ 1 cited

Multi-task GANs for Semantic Segmentation and Depth Completion with Cycle Consistency

Chongzhen Zhang, Yang Tang, Chaoqiang Zhao +3

Semantic segmentation and depth completion are two challenging tasks in scene understanding, and they are widely used in robotics and autonomous driving. Although several works are…

nlin.AO2020

Rate-dependent bifurcation dodging in a thermoacoustic system driven by colored noise

Xiaoyu Zhang, Yong Xu, Qi Liu +2

Tipping in multistable systems occurs usually by varying the input slightly, resulting in the output switching to an often unsatisfactory state. This phenomenon is manifested in th…

physics.ao-ph2020

Basin stability and limit cycles in a conceptual model for climate tipping cascades

Nico Wunderling, Maximilian Gelbrecht, Ricarda Winkelmann +2

Tipping elements in the climate system are large-scale subregions of the Earth that might possess threshold behavior under global warming with large potential impacts on human soci…

cs.LG2020

When Autonomous Systems Meet Accuracy and Transferability through AI: A Survey

Chongzhen Zhang, Jianrui Wang, Gary G. Yen +5

With widespread applications of artificial intelligence (AI), the capabilities of the perception, understanding, decision-making and control for autonomous systems have improved si…

physics.comp-ph2019★ 157 cited

Solving Fokker-Planck equation using deep learning

Yong Xu, Hao Zhang, Yongge Li +3

The probability density function of stochastic differential equations is governed by the Fokker-Planck (FP) equation. A novel machine learning method is developed to solve the gene…

nlin.AO2019★ 8 cited

Linear Response Theory for Renewable Fluctuations in Power Grids with Transmission Losses

Anton Plietzsch, Sabine Auer, Jürgen Kurths +1

We study the spreading of renewable power fluctuations through grids with Ohmic losses on the lines. By formulating a network adapted linear response theory, we find that vulnerabi…

physics.space-ph2018★ 33 cited

Recurrence based quantification of dynamical complexity in the Earth's magnetosphere at geospace storm timescales

Reik V. Donner, Georgios Balasis, Veronika Stolbova +3

Magnetic storms are the most prominent global manifestations of out-of-equilibrium magnetospheric dynamics. Investigating the dynamical complexity exhibited by geomagnetic observab…

nlin.CD2017★ 19 cited

Bounding the first exit from the basin: Independence Times and Finite-Time Basin Stability

Paul Schultz, Frank Hellmann, Kevin N. Webster +1

We study the stability of deterministic systems given sequences of large, jump-like perturbations. Our main result is to dervie a lower bound for the probability of the system to r…

physics.soc-ph2017★ 9 cited

Rewiring hierarchical scale-free networks: Influence on synchronizability and topology

Chiranjit Mitra, Jürgen Kurths, Reik V. Donner

Many real-world complex networks simultaneously exhibit topological features of scale-free behaviour and hierarchical organization. In this regard, deterministic scale-free [A.-L.…

nlin.CD2017★ 14 cited

Recovery time after localized perturbations in complex dynamical networks

Chiranjit Mitra, Tim Kittel, Anshul Choudhary +2

Maintaining the synchronous motion of dynamical systems interacting on complex networks is often critical to their functionality. However, real-world networked dynamical systems op…

physics.ao-ph2017

Differential imprints of distinct ENSO flavors in global patterns of very low and high seasonal precipitation

Marc Wiedermann, Jonatan F. Siegmund, Jonathan F. Donges +1

The effects of El Niño's two distinct flavors, East Pacific (EP) and Central Pacific (CP)/Modoki El Niño, on global climate variability have been studied intensively in recent year…

physics.soc-ph2016★ 13 cited

Explosive Phase Transition in a Majority-Vote Model with Inertia

Hanshuang Chen, Chuansheng Shen, Haifeng Zhang +3

We generalize the original majority-vote model by incorporating an inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual dep…