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

SciPy 1.0: fundamental algorithms for scientific computing in Python

(2020) Pauli Virtanen et al.   NATURE METHODS

Tipping positive change

(2020) Timothy M. Lenton   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Social tipping dynamics for stabilizing Earth’s climate by 2050

(2020) Ilona M. Otto et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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

(2020) Nico Wunderling et al.   CHAOS

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

(2020) Ann Kristin Klose et al.   Royal Society Open Science

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

(2020) Nico Wunderling et al.   NEW JOURNAL OF PHYSICS

Observable, low-order dynamical controls on thresholds of the Atlantic meridional overturning circulation

(2019) Richard A. Wood et al.   CLIMATE DYNAMICS

Heterogeneity and Delayed Activation as Hallmarks of Self-Organization and Criticality in Excitable Tissue

(2019) Andraž Stožer et al.   Frontiers in Physiology

Climate tipping points — too risky to bet against

(2019) Timothy M. Lenton et al.   NATURE

Defining tipping points for social-ecological systems scholarship—an interdisciplinary literature review

(2018) Manjana Milkoreit et al.   Environmental Research Letters

Positive tipping points in a rapidly warming world

(2018) J David Tàbara et al.   Current Opinion in Environmental Sustainability

Forest-rainfall cascades buffer against drought across the Amazon

(2018) Arie Staal et al.   Nature Climate Change

Observed fingerprint of a weakening Atlantic Ocean overturning circulation

(2018) L. Caesar et al.   NATURE

Trajectories of the Earth System in the Anthropocene

(2018) Will Steffen et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Cascading regime shifts within and across scales

(2018) Juan C. Rocha et al.   SCIENCE

Self-amplified Amazon forest loss due to vegetation-atmosphere feedbacks

(2017) Delphine Clara Zemp et al.   Nature Communications

Metastability for discontinuous dynamical systems under Lévy noise: Case study on Amazonian Vegetation

(2017) Larissa Serdukova et al.   Scientific Reports

How Regime Shifts in Connected Aquatic Ecosystems Are Affected by the Typical Downstream Increase of Water Flow

(2016) Luuk P. A. van Gerven et al.   ECOSYSTEMS

Bistability, Spatial Interaction, and the Distribution of Tropical Forests and Savannas

(2016) Arie Staal et al.   ECOSYSTEMS

Potential stabilizing points to mitigate tipping point interactions in Earth's climate

(2016) Cedric Gaucherel et al.   INTERNATIONAL JOURNAL OF CLIMATOLOGY

Land-use and climate change risks in the Amazon and the need of a novel sustainable development paradigm

(2016) Carlos A. Nobre et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

What Do You Mean, ‘Tipping Point’?

(2016) Egbert H. van Nes et al.   TRENDS IN ECOLOGY & EVOLUTION

Risk of multiple interacting tipping points should encourage rapid CO2 emission reduction

(2016) Yongyang Cai et al.   Nature Climate Change

Why the right climate target was agreed in Paris

(2016) Hans Joachim Schellnhuber et al.   Nature Climate Change

Tipping elements and climate-economic shocks: Pathways toward integrated assessment

(2016) Robert E. Kopp et al.   Earths Future

Transitions in a genetic transcriptional regulatory system under Lévy motion

(2016) Yayun Zheng et al.   Scientific Reports

Synergistic effects of drought and deforestation on the resilience of the south-eastern Amazon rainforest

(2015) Arie Staal et al.   Ecological Complexity

Coupled catastrophes: sudden shifts cascade and hop among interdependent systems

(2015) Charles D. Brummitt et al.   Journal of the Royal Society Interface

A Network of Networks Perspective on Global Trade

(2015) Julian Maluck et al.   PLoS One

Saving Human Lives: What Complexity Science and Information Systems can Contribute

(2014) Dirk Helbing et al.   JOURNAL OF STATISTICAL PHYSICS

Tipping points in tropical tree cover: linking theory to data

(2013) Egbert H. van Nes et al.   GLOBAL CHANGE BIOLOGY

Reviving Oscillations in Coupled Nonlinear Oscillators

(2013) Wei Zou et al.   PHYSICAL REVIEW LETTERS

Mapping the Structure of the World Economy

(2012) Manfred Lenzen et al.   ENVIRONMENTAL SCIENCE & TECHNOLOGY

The rainforest's water pump

(2012) Luiz E. O. C. Aragão   NATURE

The Amazon basin in transition

(2012) Eric A. Davidson et al.   NATURE

Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system

(2012) P. Ashwin et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

PREDICTING CLIMATE TIPPING AS A NOISY BIFURCATION: A REVIEW

(2011) J. MICHAEL T. THOMPSON et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Systemic risk in banking ecosystems

(2011) Andrew G. Haldane et al.   NATURE

Global Resilience of Tropical Forest and Savanna to Critical Transitions

(2011) M. Hirota et al.   SCIENCE

The Global Extent and Determinants of Savanna and Forest as Alternative Biome States

(2011) A. C. Staver et al.   SCIENCE

Runge–Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations

(2010) Andreas Rößler   SIAM JOURNAL ON NUMERICAL ANALYSIS

The backbone of the climate network

(2009) J. F. Donges et al.   EPL

Early-warning signals for critical transitions

(2009) Marten Scheffer et al.   NATURE

Imprecise probability assessment of tipping points in the climate system

(2009) E. Kriegler et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Generalized Models Reveal Stabilizing Factors in Food Webs

(2009) T. Gross et al.   SCIENCE

Ecology for bankers

(2008) Robert M. May et al.   NATURE

Increasing risk of Amazonian drought due to decreasing aerosol pollution

(2008) Peter M. Cox et al.   NATURE

Tipping elements in the Earth's climate system

(2008) T. M. Lenton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA