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Alan Hastings
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All published works
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Title
Year
Authors
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Deciphering culprits for cyanobacterial blooms and lake vulnerability in north-temperate lakes
2024
Jacob Serpico
B. A. Zambrano-Luna
Russell Milne
Christopher M. Heggerud
Alan Hastings
Hao Wang
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PDF
Chat
Determinism vs. stochasticity in competitive flour beetle communities
2024
Evan C. Johnson
Tad Dallas
Alan Hastings
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PDF
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Rate-induced tipping in complex high-dimensional ecological networks
2023
Shirin Panahi
Younghae Do
Alan Hastings
YingâCheng Lai
+
PDF
Chat
Consensus formation among mobile agents in networks of heterogeneous interaction venues
2023
Guram Mikaberidze
Sayantan Nag Chowdhury
Alan Hastings
Raissa M. DâSouza
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Challenges and opportunities to build quantitative self-confidence in biologists
2023
Kim Cuddington
Karen C. Abbott
Frederick R. Adler
Mehmet Aydeniz
Rene Dale
Louis J. Gross
Alan Hastings
Elizabeth A. Hobson
Vadim A. Karatayev
Alexander K. Killion
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Social copying drives a tipping point for nonlinear population collapse
2023
Daniel OrĂł
LluıÌs AlsedĂ
Alan Hastings
Meritxell Genovart
Josep Sardanyés
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Stability and Fluctuations in Complex Ecological Systems
2023
Eric Forgoston
Sarah J. Day
Peter C. de Ruiter
Arjen Doelman
Nienke Hartemink
Alan Hastings
Lia Hemerik
Alexandru Hening
Josef Hofbauer
Sonia KĂ©fi
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Consensus Formation Among Mobile Agents in Networks of Heterogeneous Interaction Venues
2023
Guram Mikaberidze
Sayantan Nag Chowdhury
Alan Hastings
Raissa M. DâSouza
+
Rate-induced tipping in complex high-dimensional ecological networks
2023
Shirin Panahi
Younghae Do
Alan Hastings
Ying-Cheng Lai
+
PDF
Chat
Methods for calculating coexistence mechanisms: beyond scaling factors
2022
Evan C. Johnson
Alan Hastings
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Towards a heuristic understanding of the storage effect
2022
Evan C. Johnson
Alan Hastings
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Characterizing Long Transients in ConsumerâResource Systems With Group Defense and Discrete Reproductive Pulses
2022
Jorge ArroyoâEsquivel
Alan Hastings
Marissa L. Baskett
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PDF
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Coexistence in spatiotemporally fluctuating environments
2022
Evan C. Johnson
Alan Hastings
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PDF
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Occupancy times for time-dependent stage-structured models
2022
George Chappelle
Alan Hastings
Martin Rasmussen
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Characterizing long transients in consumer-resource systems with group defense and nonreproductive stages
2022
Jorge ArroyoâEsquivel
Alan Hastings
Marissa L. Baskett
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Coexistence in spatiotemporally fluctuating environments
2022
Evan C. Johnson
Alan Hastings
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Resolving conceptual issues in Modern Coexistence Theory
2022
Evan C. Johnson
Alan Hastings
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The storage effect is not about bet-hedging or population stage-structure
2022
Evan C. Johnson
Alan Hastings
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Towards a heuristic understanding of the storage effect
2022
Evan C. Johnson
Alan Hastings
+
Methods for calculating coexistence mechanisms: Beyond scaling factors
2022
Evan C. Johnson
Alan Hastings
+
PDF
Chat
A Low-Dimensional Network Model for an SIS Epidemic: Analysis of the Super Compact Pairwise Model
2021
Carl Corcoran
Alan Hastings
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PDF
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The Role of Stochasticity in Noise-Induced Tipping Point Cascades: A Master Equation Approach
2021
Abhishek Mallela
Alan Hastings
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A Low-Dimensional Network Model for an SIS Epidemic: Analysis of the Super Compact Pairwise Model
2020
Carl Corcoran
Alan Hastings
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The Role of Stochasticity in Noise-Induced Tipping Point Cascades: A Master Equation Approach.
2020
Abhishek Mallela
Alan Hastings
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PDF
Chat
Synchronization within synchronization: transients and intermittency in ecological networks
2020
Huawei Fan
Ling-Wei Kong
Xingang Wang
Alan Hastings
YingâCheng Lai
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PDF
Chat
Dynamical Ising model of spatially coupled ecological oscillators
2020
Vahini Reddy Nareddy
Jonathan Machta
Karen C. Abbott
Shadisadat Esmaeili
Alan Hastings
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PDF
Chat
Dynamical Ising model of spatially-coupled ecological oscillators
2020
Vahini Reddy Nareddy
Jonathan Machta
Karen C. Abbott
Shadisadat Esmaeili
Alan Hastings
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Multiple attractors and long transients in spatially structured populations with an Allee effect
2020
Irina Vortkamp
Sebastian J. Schreiber
Alan Hastings
Frank M. Hilker
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Representing spatially extended ecological oscillators by kinetic Ising models with memory
2020
Vahini Reddy Nareddy
Jonathan Machta
Karen C. Abbott
Shadisadat Esmaeili
Alan Hastings
+
Synchronization within synchronization: transients and intermittency in ecological networks
2020
Huawei Fan
Ling-Wei Kong
Xingang Wang
Alan Hastings
YingâCheng Lai
+
A Low-Dimensional Network Model for an SIS Epidemic: Analysis of the Super Compact Pairwise Model
2020
Carl Corcoran
Alan Hastings
+
Occupancy times for time-dependent stage-structured models
2020
George Chappelle
Alan Hastings
Martin Rasmussen
+
The Role of Stochasticity in Noise-Induced Tipping Point Cascades: A Master Equation Approach
2020
Abhishek Mallela
Alan Hastings
+
Multiple attractors and long transients in spatially structured populations with an Allee effect
2020
Irina Vortkamp
Sebastian J. Schreiber
Alan Hastings
Frank M. Hilker
+
PDF
Chat
A Hybrid Model for the Population Dynamics of Periodical Cicadas
2018
Jonathan Machta
Julie C. Blackwood
Andrew E. Noble
Andrew M. Liebhold
Alan Hastings
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A Dynamic Niche Model for the Emergence and Evolution of Mutualistic Network Structures
2018
Weiran Cai
Jordan Snyder
Alan Hastings
Raissa M. DâSouza
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PDF
Chat
Critical fluctuations of noisy period-doubling maps
2017
Andrew E. Noble
Saba Karimeddiny
Alan Hastings
Jonathan Machta
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PDF
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Optimal management of a stochastically varying population when policy adjustment is costly
2016
Carl Boettiger
Michael Bode
James N. Sanchirico
Jacob LaRiviere
Alan Hastings
Paul R. Armsworth
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PDF
Chat
Transit times and mean ages for nonautonomous and autonomous compartmental systems
2016
Martin Rasmussen
Alan Hastings
Matthew J. Smith
Folashade B. Agusto
Benito M. ChenâCharpentier
Forrest M. Hoffman
Jiang Jiang
Katherine EO Todd-Brown
Ying Wang
YingâPing Wang
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Transit times and mean ages for nonautonomous and autonomous compartmental systems
2016
Martin Rasmussen
Alan Hastings
Matthew J. Smith
Folashade B. Agusto
Benito M. ChenâCharpentier
Forrest M. Hoffman
Jiang Jiang
Katherine EO Todd-Brown
Ying Wang
YingâPing Wang
+
PDF
Chat
Optimal management of a stochastically varying population when policy adjustment is costly
2015
Carl Boettiger
Michael Bode
James N. Sanchirico
Jacob LaRiviere
Alan Hastings
Paul R. Armsworth
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Optimal management of a stochastically varying population when policy adjustment is costly
2015
Carl Boettiger
Michael Bode
James N. Sanchirico
Jacob LaRiviere
Alan Hastings
Paul R. Armsworth
+
Editorial for the special issue of mathematical biosciences, BIOCOMP 2012
2013
Aniello Buonocore
Antonio Di Crescenzo
Odo Diekmann
Alan Hastings
Simon A. Levin
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PDF
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No early warning signals for stochastic transitions: insights from large deviation theory
2013
Carl Boettiger
Alan Hastings
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PDF
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Early warning signals: the charted and uncharted territories
2013
Carl Boettiger
Noam Ross
Alan Hastings
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PDF
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Early warning signals and the prosecutor's fallacy
2012
Carl Boettiger
Alan Hastings
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PDF
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Quantifying limits to detection of early warning for critical transitions
2012
Carl Boettiger
Alan Hastings
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Quantifying Limits to Detection of Early Warning for Critical Transitions
2012
Carl Boettiger
Alan Hastings
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Quantifying Limits to Detection of Early Warning for Critical Transitions
2012
Carl Boettiger
Alan Hastings
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PDF
Chat
Multivariate Moran Process with Lotka-Volterra Phenomenology
2011
Andrew E. Noble
Alan Hastings
William F. Fagan
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Frequency responses of age-structured populations: Pacific salmon as an example
2010
Lee Worden
Louis W. Botsford
Alan Hastings
Matthew D. Holland
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Population dynamic consequences of variability in age of spawning and survival rates of Pacific salmon
2009
Lee Worden
Louis W. Botsford
Alan Hastings
Matthew D. Holland
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Response to Comment on "Metapopulation Persistence with Age-Dependent Disturbance or Succession"
2004
Alan Hastings
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Fitting Population Models Incorporating Process Noise and Observation Error
2002
Perry de Valpine
Alan Hastings
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Optimization as a Technique for Studying Population
1995
Alan Hastings
Gordon A. Fox
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Edward Ott, Editor, Chaos in Dynamical Systems, Cambridge University Press (1993).
1995
Alan Hastings
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Some mathematical questions in biology : models in population biology
1989
Alan Hastings
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Monotonic Change of the Mean Phenotype in Two-Locus Models
1987
Alan Hastings
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Continuous and Discrete Dynamics Near Manifolds of Equilibria (Bernd Aulbach)
1986
Alan Hastings
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Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment
1982
David J. Wollkind
Alan Hastings
Jesse A. Logan
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Multiple limit cycles in predator-prey models
1981
Alan Hastings
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Spatial heterogeneity and the stability of predator-prey systems
1977
Alan Hastings
Common Coauthors
Coauthor
Papers Together
Carl Boettiger
9
Jonathan Machta
5
Evan C. Johnson
5
Martin Rasmussen
4
Karen C. Abbott
4
Evan C. Johnson
4
Michael Bode
3
James N. Sanchirico
3
YingâCheng Lai
3
Abhishek Mallela
3
Jacob LaRiviere
3
Andrew E. Noble
3
Raissa M. DâSouza
3
Carl Corcoran
3
Paul R. Armsworth
3
Sebastian J. Schreiber
3
Shadisadat Esmaeili
3
Vahini Reddy Nareddy
3
Xingang Wang
2
Guram Mikaberidze
2
Sayantan Nag Chowdhury
2
Folashade B. Agusto
2
Jorge ArroyoâEsquivel
2
Lee Worden
2
Yiqi Luo
2
Huawei Fan
2
Matthew D. Holland
2
Ying Wang
2
Katherine EO Todd-Brown
2
YingâPing Wang
2
Shirin Panahi
2
Ling-Wei Kong
2
Frank M. Hilker
2
F. M. Hoffman
2
Younghae Do
2
Benito M. ChenâCharpentier
2
Marissa L. Baskett
2
Louis W. Botsford
2
Irina Vortkamp
2
George Chappelle
2
Matthew J. Smith
2
Julie C. Blackwood
1
Noam Ross
1
Christopher M. Heggerud
1
Laura S. Storch
1
Gordon A. Fox
1
Peter C. de Ruiter
1
Frederick R. Adler
1
Saba Karimeddiny
1
Mehmet Aydeniz
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
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Quantifying limits to detection of early warning for critical transitions
2012
Carl Boettiger
Alan Hastings
4
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The Importance of Being Discrete (and Spatial)
1994
Rick Durrett
Simon A. Levin
4
+
Community Equilibria and Stability, and an Extension of the Competitive Exclusion Principle
1970
Simon A. Levin
3
+
Qualitative Theory of Compartmental Systems
1993
John A. Jacquez
Carl P. Simon
3
+
Exact stochastic simulation of coupled chemical reactions
1977
Daniel T. Gillespie
3
+
PDF
Chat
Early Warning Signals for Critical Transitions: A Generalized Modeling Approach
2012
Steven J. Lade
Thilo GroĂ
3
+
A critical point for random graphs with a given degree sequence
1995
Michael Molloy
Bruce Reed
3
+
Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos
1974
Robert M. May
3
+
Integral Manifolds for Carathéodory Type Differential Equations in Banach Spaces
1996
Bernd Aulbach
Thomas Wanner
2
+
Swarming, schooling, milling: phase diagram of a data-driven fish school model
2014
Daniel S. Calovi
Ugo Lopez
Sandrine Ngo
Clément Sire
Hugues Chaté
Guy Théraulaz
2
+
PDF
Chat
Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases
2002
Ken Eames
Matt J. Keeling
2
+
Edge-based compartmental modelling for infectious disease spread
2011
Joel C. Miller
Anja C. Slim
Erik Volz
2
+
On Bootstrapping the Likelihood Ratio Test Stastistic for the Number of Components in a Normal Mixture
1987
Geoffrey J. McLachlan
2
+
PDF
Chat
Controlling synchronous patterns in complex networks
2016
Weijie Lin
Huawei Fan
Ying Wang
He-Ping Ying
Xingang Wang
2
+
PDF
Chat
Quasiperiodicity and suppression of multistability in nonlinear dynamical systems
2017
YingâCheng Lai
Celso Grebogi
2
+
ON POPULATION GROWTH IN A RANDOMLY VARYING ENVIRONMENT
1969
Richard C Lewontin
DĂ©borah Cohen
2
+
Long-Range Order in a Two-Dimensional Dynamical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>Model: How Birds Fly Together
1995
John Toner
Yuhai Tu
2
+
PDF
Chat
Multistability, noise, and attractor hopping: The crucial role of chaotic saddles
2002
Suso Kraut
Ulrike Feudel
2
+
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
1983
John Guckenheimer
Philip Holmes
2
+
PDF
Chat
Partial synchronization on complex networks
2006
Bin Ao
Zhigang Zheng
2
+
PDF
Chat
Remote Synchronization Reveals Network Symmetries and Functional Modules
2013
Vincenzo Nicosia
Miguel Valencia
Mario ChĂĄvez
Albert DıÌaz-Guilera
Vito Latora
2
+
Dynamical Models of Tuberculosis and Their Applications
2004
Carlos CastilloâChĂĄvez
Baojun Song
2
+
PDF
Chat
Synchronization in Small-World Systems
2002
Mauricio Barahona
Louis M. Pecora
2
+
PDF
Chat
Insights from unifying modern approximations to infections on networks
2010
Thomas House
Matt J. Keeling
2
+
Harvesting strategies for a randomly fluctuating population
1980
Donald Ludwig
2
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Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
2002
P. van den Driessche
James Watmough
2
+
PDF
Chat
Message passing approach for general epidemic models
2010
Brian Karrer
M. E. J. Newman
2
+
PDF
Chat
Weak pairwise correlations imply strongly correlated network states in a neural population
2006
Elad Schneidman
Michael J. Berry
Ronen Segev
William Bialek
2
+
PDF
Chat
Super compact pairwise model for SIS epidemic on heterogeneous networks
2015
Peter Ć imon
IstvĂĄn Z. Kiss
2
+
PDF
Chat
Random graphs with arbitrary degree distributions and their applications
2001
M. E. J. Newman
Steven H. Strogatz
Duncan J. Watts
2
+
PDF
Chat
Cluster synchronization and isolated desynchronization in complex networks with symmetries
2014
Louis M. Pecora
Francesco Sorrentino
Aaron M. Hagerstrom
Thomas E. Murphy
Rajarshi Roy
2
+
PDF
Chat
An introduction to Docker for reproducible research
2015
Carl Boettiger
2
+
Stretching and Folding in Lynx Fur Returns: Evidence for a Strange Attractor in Nature?
1984
William M. Schaffer
2
+
Effect of self-interaction on the phase diagram of a Gibbs-like measure derived by a reversible Probabilistic Cellular Automata
2014
Emilio N. M. Cirillo
Pierre-Yves Louis
Wioletta M. Ruszel
Cristian Spitoni
2
+
Distribution of the first return time in fractional Brownian motion and its application to the study of on-off intermittency
1995
Mingzhou Ding
Weiming Yang
2
+
PDF
Chat
Stochastic Spatial Models
1999
Rick Durrett
2
+
PDF
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How Colored Environmental Noise Affects Population Extinction
2008
Alex Kamenev
Baruch Meerson
B. I. ShklovskiÇ
2
+
PDF
Chat
Epidemic spreading in correlated complex networks
2002
Mariån Boguñå
Romualdo PastorâSatorras
2
+
PDF
Chat
Dichotomies in Stability Theory
1978
W. A. Coppel
2
+
PDF
Chat
From Markovian to pairwise epidemic models and the performance of moment closure approximations
2011
Michael A. Taylor
Peter Ć imon
Darren M. Green
Thomas House
IstvĂĄn Z. Kiss
2
+
Criteria for exponential dichotomy for triangular systems
2015
Flaviano Battelli
Kenneth J. Palmer
2
+
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Chat
Synchronization in ecological systems by weak dispersal coupling with time delay
2013
Emily Wall
Frédéric Guichard
A. R. Humphries
2
+
PDF
Chat
Critical Binder cumulant of two-dimensional Ising models
2006
W. Selke
2
+
PDF
Chat
Dynamics and Control of Diseases in Networks with Community Structure
2010
Marcel Salathé
James H. Jones
2
+
Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks
2006
Kieran J. Sharkey
Carmen FernĂĄndez
Kenton L. Morgan
E. J. Peeler
Mark Thrush
James Turnbull
Roger Bowers
2
+
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Heterogeneity in Oscillator Networks: Are Smaller Worlds Easier to Synchronize?
2003
Takashi Nishikawa
Adilson E. Motter
YingâCheng Lai
Frank C. Hoppensteadt
2
+
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Inverse Ising Inference Using All the Data
2012
Erik Aurell
Magnus Ekeberg
2
+
A Motif-Based Approach to Network Epidemics
2009
Thomas House
Geoffrey R. Davies
LeĂłn Danon
Matt J. Keeling
2
+
Statistical mechanics for natural flocks of birds
2012
William Bialek
Andrea Cavagna
Irene Giardina
Thierry Mora
Edmondo Silvestri
Massimiliano Viale
Aleksandra M. Walczak
2
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How noise and coupling influence leading indicators of population extinction in a spatially extended ecological system
2017
Suzanne M. OâRegan
2