output
20112025
most citedComplex network approaches to nonlinear time series analysis

648 citations

41 papers

physics.data-an2025★ 648 cited

Complex network approaches to nonlinear time series analysis

Yong Zou, Reik V. Donner, Norbert Marwan +2

In the last decade, there has been a growing body of literature addressing the utilization of complex network methods for the characterization of dynamical systems based on time se…

physics.ao-ph2025★ 1 cited

Causal pathway from AMOC to Southern Amazon rainforest indicates stabilising interaction between two climate tipping elements

Annika Högner, Giorgia Di Capua, Jonathan F. Donges +3

Declines in resilience have been observed in several climate tipping elements over the past decades, including the Atlantic Meridional Overturning Circulation (AMOC) and the Amazon…

physics.soc-ph2021★ 1 cited

Detecting contagious spreading of urban innovations on the global city network

Niklas H. Kitzmann, Pawel Romanczuk, Jonathan F. Donges

Only a fast and global transformation towards decarbonization and sustainability can keep the Earth in a civilization-friendly state. As hotspots for (green) innovation and experim…

physics.geo-ph2021★ 71 cited

What do we mean, 'tipping cascade'?

Ann Kristin Klose, Nico Wunderling, Ricarda Winkelmann +1

Based on suggested interactions of potential tipping elements in the Earth's climate and in ecological systems, tipping cascades as possible dynamics are increasingly discussed and…

physics.soc-ph2021★ 2 cited

Resilience basins of complex systems: an application to prosumer impacts on power grids

Samuel Bien, Paul Schultz, Jobst Heitzig +1

Comparable to the traditional notion of stability in system dynamics, resilience is typically measured in a way that assesses the quality of a system's response, for example the sp…

q-bio.PE2021★ 51 cited

Ecosystems are showing symptoms of resilience loss

Juan C. Rocha

Ecosystems around the world are at risk of critical transitions due to increasing anthropogenic pressures and climate change. Yet it is unclear where the risks are higher or where…

physics.soc-ph2021★ 1 cited

Complex networks of interacting stochastic tipping elements: cooperativity of phase separation in the large-system limit

Jan Kohler, Nico Wunderling, Jonathan F. Donges +1

Tipping elements in the Earth System receive increased scientific attention over the recent years due to their nonlinear behavior and the risks of abrupt state changes. While being…

cond-mat.stat-mech2021★ 3 cited

Bali's ancient rice terraces: A Hamiltonian approach

Yérali Gandica, J. Stephen Lansing, Ning Ning Chung +2

We propose a Hamiltonian approach to reproduce the relevant elements of the centuries-old Subak irrigation system in Bali, showing a cluster-size power-law distribution. The result…

physics.soc-ph2021★ 7 cited

A dynamic network model of societal complexity and resilience inspired by Tainter's theory of collapse

Florian Schunck, Marc Wiedermann, Jobst Heitzig +1

In recent years, several global events have severely disrupted economies and social structures, undermining confidence in the resilience of modern societies. While empirical eviden…

cs.MA2021★ 83 cited

Agents.jl: A performant and feature-full agent based modelling software of minimal code complexity

George Datseris, Ali R. Vahdati, Timothy C. DuBois

Agent based modelling is a simulation method in which autonomous agents interact with their environment and one another, given a predefined set of rules. It is an integral method f…

physics.soc-ph2020★ 32 cited

Modelling nonlinear dynamics of interacting tipping elements on complex networks: the PyCascades package

Nico Wunderling, Jonathan Krönke, Valentin Wohlfarth +6

Tipping elements occur in various systems such as in socio-economics, ecology and the climate system. In many cases, the individual tipping elements are not independent from each o…

physics.soc-ph2020★ 15 cited

Dynamics of collective action to conserve a large common-pool resource

David Andersson, Sigrid Bratsberg, Andrew K. Ringsmuth +1

A pressing challenge for coming decades is sustainable and just management of large-scale common-pool resources including the atmosphere, biodiversity and public services. This pos…

physics.soc-ph2020★ 214 cited

Social tipping processes for sustainability: An analytical framework

Ricarda Winkelmann, Jonathan F. Donges, E. Keith Smith +7

Societal transformations are necessary to address critical global challenges, such as mitigation of anthropogenic climate change and reaching UN sustainable development goals. Rece…

econ.GN2020★ 34 cited

Effective alleviation of rural poverty depends on the interplay between productivity, nutrients, water and soil quality

Sonja Radosavljevic, L. Jamila Haider, Steven J. Lade +1

Most of the world poorest people come from rural areas and depend on their local ecosystems for food production. Recent research has highlighted the importance of self-reinforcing…

nlin.AO2020★ 37 cited

How motifs condition critical thresholds for tipping cascades in complex networks: Linking Micro- to Macro-scales

Nico Wunderling, Benedikt Stumpf, Jonathan Krönke +4

In this study, we investigate how specific micro interaction structures (motifs) affect the occurrence of tipping cascades on networks of stylized tipping elements. We compare the…

physics.soc-ph2019★ 55 cited

A network-based microfoundation of Granovetter's threshold model for social tipping

Marc Wiedermann, E. Keith Smith, Jobst Heitzig +1

Social tipping, where minorities trigger larger populations to engage in collective action, has been suggested as one key aspect in addressing contemporary global challenges. Here,…

physics.geo-ph2019★ 106 cited

Emergence of cascading dynamics in interacting tipping elements of ecology and climate

Ann Kristin Klose, Volker Karle, Ricarda Winkelmann +1

In ecology, climate and other fields, (sub)systems have been identified that can transition into a qualitatively different state when a critical threshold or tipping point in a dri…

physics.soc-ph2019★ 56 cited

Earth system modeling with endogenous and dynamic human societies: the copan:CORE open World-Earth modeling framework

Jonathan F. Donges, Jobst Heitzig, Wolfram Barfuss +9

Analysis of Earth system dynamics in the Anthropocene requires to explicitly take into account the increasing magnitude of processes operating in human societies, their cultures, e…

physics.soc-ph2019★ 26 cited

Deep reinforcement learning in World-Earth system models to discover sustainable management strategies

Felix M. Strnad, Wolfram Barfuss, Jonathan F. Donges +1

Increasingly complex, non-linear World-Earth system models are used for describing the dynamics of the biophysical Earth system and the socio-economic and socio-cultural World of h…

physics.soc-ph2019★ 21 cited

The physics of governance networks: critical transitions in contagion dynamics on multilayer adaptive networks with application to the sustainable use of renewable resources

Fabian Geier, Wolfram Barfuss, Marc Wiedermann +2

Adaptive networks are a versatile approach to model phenomena such as contagion and spreading dynamics, critical transitions and structure formation that emerge from the dynamic co…

nlin.CD2019★ 77 cited

Dynamics of Tipping Cascades on Complex Networks

Jonathan Krönke, Nico Wunderling, Ricarda Winkelmann +4

Tipping points occur in diverse systems in various disciplines such as ecology, climate science, economy or engineering. Tipping points are critical thresholds in system parameters…

cs.MA2018★ 64 cited

Deterministic limit of temporal difference reinforcement learning for stochastic games

Wolfram Barfuss, Jonathan F. Donges, Jürgen Kurths

Reinforcement learning in multiagent systems has been studied in the fields of economic game theory, artificial intelligence and statistical physics by developing an analytical und…

physics.soc-ph2017★ 74 cited

The technosphere in Earth system analysis: a coevolutionary perspective

Jonathan F. Donges, Wolfgang Lucht, Finn Müller-Hansen +1

Earth system analysis is the study of the joint dynamics of biogeophysical, social and technological processes on our planet. To advance our understanding of possible future develo…

nlin.AO2017★ 5 cited

Modelling social-ecological transformations: an adaptive network proposal

Steven J. Lade, Örjan Bodin, Jonathan F. Donges +4

Transformations to create more sustainable social-ecological systems are urgently needed. Structural change is a feature of transformations of social-ecological systems that is of…