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Laing, Carlo R.

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Author ID: laing.carlo-r Recent zbMATH articles by "Laing, Carlo R."
Published as: Laing, Carlo R.; Laing, Carlo; Laing, C. R.; Laing, C.
Documents Indexed: 55 Publications since 1993, including 1 Book
Reviewing Activity: 167 Reviews

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 606 times in 356 Documents Cited by Year
Multiple bumps in a neuronal model of working memory. Zbl 1017.45006
Laing, Carlo R.; Troy, William C.; Gutkin, Boris; Ermentrout, G. Bard
80
2002
The dynamics of chimera states in heterogeneous Kuramoto networks. Zbl 1185.34042
Laing, Carlo R.
67
2009
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
56
2003
Stationary bumps in networks of spiking neurons. Zbl 0978.92004
Laing, Carlo R.; Chow, Carson C.
51
2001
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
36
2009
Two-bump solutions of Amari-type models of neuronal pattern formation. Zbl 1011.92007
Laing, Carlo R.; Troy, William C.
31
2003
Delays in activity-based neural networks. Zbl 1185.92003
Coombes, Stephen; Laing, Carlo
23
2009
Spiral waves in nonlocal equations. Zbl 1090.37056
Laing, Carlo R.
22
2005
Fronts and bumps in spatially extended Kuramoto networks. Zbl 1262.34038
Laing, Carlo R.
16
2011
Chimeras in random non-complete networks of phase oscillators. Zbl 1331.34055
Laing, Carlo R.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.
16
2012
Partially coherent twisted states in arrays of coupled phase oscillators. Zbl 1345.34061
Omel’chenko, Oleh E.; Wolfrum, Matthias; Laing, Carlo R.
12
2014
Exact neural fields incorporating gap junctions. Zbl 1369.92020
Laing, Carlo R.
12
2015
Successive homoclinic tangencies to a limit cycle. Zbl 0886.34028
Hirschberg, P.; Laing, Carlo
11
1995
Stochastic methods in neuroscience. Zbl 1177.92007
Laing, Carlo (ed.); Lord, Gabriel J. (ed.)
11
2010
Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Zbl 1142.92306
Laing, Carlo R.; Longtin, André
10
2003
Waves in random neural media. Zbl 1245.45008
Coombes, Stephen; Schmidt, Helmut; Laing, Carlo R.; Svanstedt, Nils; Wyller, John A.
10
2012
Noise-induced stabilization of bumps in systems with long-range spatial coupling. Zbl 0997.92002
Laing, Carlo R.; Longtin, André
9
2001
Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018
Laing, Carlo R.
9
2014
Exploiting the Hamiltonian structure of a neural field model. Zbl 1203.37034
Elvin, A. J.; Laing, C. R.; McLachlan, R. I.; Roberts, M. G.
9
2010
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Zbl 1448.92011
Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A.
9
2020
Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks. Zbl 1319.34057
Laing, Carlo R.
8
2012
A homoclinic hierarchy. Zbl 1073.37525
Glendinning, Paul; Laing, Carlo
7
1996
Chimeras in two-dimensional domains: heterogeneity and the continuum limit. Zbl 1392.34035
Laing, Carlo R.
7
2017
Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-dimensional approach. Zbl 1139.34308
Laing, Carlo R.; Kevrekidis, Ioannis G.
7
2008
Coarse-grained dynamics of an activity bump in a neural field model. Zbl 1125.60061
Laing, C. R.; Frewen, T. A.; Kevrekidis, I. G.
7
2007
The post-processed Galerkin method applied to nonlinear shell vibrations. Zbl 0942.74079
Laing, Carlo R.; McRobie, Allan; Thompson, J. M. T.
6
1999
A two-variable model of somatic-dendritic interactions in a bursting neuron. Zbl 1334.92076
Laing, Carlo R.; Longtin, André
6
2002
On the application of “equation-free modelling” to neural systems. Zbl 1119.92014
Laing, Carlo R.
6
2006
Travelling waves in arrays of delay-coupled phase oscillators. Zbl 1382.34043
Laing, Carlo R.
6
2016
Bifocal homoclinic bifurcations. Zbl 0887.34031
Laing, Carlo; Glendinning, Paul
5
1997
The dynamics of networks of identical theta neurons. Zbl 1395.92040
Laing, Carlo R.
5
2018
Bifurcations of lurching waves in a thalamic neuronal network. Zbl 1403.92047
Wasylenko, Thomas M.; Cisternas, Jaime E.; Laing, Carlo R.; Kevrekidis, Ioannis G.
5
2010
Mode locking in a periodically forced “ghostbursting” neuron model. Zbl 1089.37052
Laing, Carlo R.; Coombes, Stephen
4
2005
Exact analytical expressions for the final epidemic size of an sir model on small networks. Zbl 1373.60134
McCulloch, K.; Roberts, M. G.; Laing, C. R.
4
2016
Managing heterogeneity in the study of neural oscillator dynamics. Zbl 1291.92039
Laing, Carlo R.; Zou, Yu; Smith, Ben; Kevrekidis, Ioannis G.
4
2012
Rotating waves in rings of coupled oscillators. Zbl 0934.34029
Laing, Carlo R.
3
1998
Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries. Zbl 0936.35025
Aston, Philip J.; Laing, Carlo R.
3
1999
Ghostbursting: the effects of dendrites on spike patterns. Zbl 1007.68794
Laing, Carlo R.; Doiron, Brent; Longtin, André; Maler, Len
3
2002
Symmetry and chaos in the complex Ginzburg-Landau equation. II: Translational symmetries. Zbl 0941.35102
Aston, Philip J.; Laing, Carlo R.
2
2000
Periodically forced piecewise-linear adaptive exponential integrate-and-fire neuron. Zbl 1277.34060
Shiau, Liejune; Laing, Carlo R.
2
2013
Equation-free analysis of spike-timing-dependent plasticity. Zbl 1345.92041
Laing, Carlo R.; Kevrekidis, Ioannis G.
2
2015
Coarse-grained clustering dynamics of heterogeneously coupled neurons. Zbl 1356.92020
Moon, Sung Joon; Cook, Katherine A.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.; Cisternas, Jaime; Laing, Carlo R.
2
2015
Neural field models with threshold noise. Zbl 1356.92021
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R.
1
2016
Ghostbursting: the role of active dendrites in electrosensory processing. Zbl 1406.91305
Laing, Carlo R.; Doiron, Brent
1
2005
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Zbl 1448.92011
Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A.
9
2020
The dynamics of networks of identical theta neurons. Zbl 1395.92040
Laing, Carlo R.
5
2018
Chimeras in two-dimensional domains: heterogeneity and the continuum limit. Zbl 1392.34035
Laing, Carlo R.
7
2017
Travelling waves in arrays of delay-coupled phase oscillators. Zbl 1382.34043
Laing, Carlo R.
6
2016
Exact analytical expressions for the final epidemic size of an sir model on small networks. Zbl 1373.60134
McCulloch, K.; Roberts, M. G.; Laing, C. R.
4
2016
Neural field models with threshold noise. Zbl 1356.92021
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R.
1
2016
Exact neural fields incorporating gap junctions. Zbl 1369.92020
Laing, Carlo R.
12
2015
Equation-free analysis of spike-timing-dependent plasticity. Zbl 1345.92041
Laing, Carlo R.; Kevrekidis, Ioannis G.
2
2015
Coarse-grained clustering dynamics of heterogeneously coupled neurons. Zbl 1356.92020
Moon, Sung Joon; Cook, Katherine A.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.; Cisternas, Jaime; Laing, Carlo R.
2
2015
Partially coherent twisted states in arrays of coupled phase oscillators. Zbl 1345.34061
Omel’chenko, Oleh E.; Wolfrum, Matthias; Laing, Carlo R.
12
2014
Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018
Laing, Carlo R.
9
2014
Periodically forced piecewise-linear adaptive exponential integrate-and-fire neuron. Zbl 1277.34060
Shiau, Liejune; Laing, Carlo R.
2
2013
Chimeras in random non-complete networks of phase oscillators. Zbl 1331.34055
Laing, Carlo R.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.
16
2012
Waves in random neural media. Zbl 1245.45008
Coombes, Stephen; Schmidt, Helmut; Laing, Carlo R.; Svanstedt, Nils; Wyller, John A.
10
2012
Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks. Zbl 1319.34057
Laing, Carlo R.
8
2012
Managing heterogeneity in the study of neural oscillator dynamics. Zbl 1291.92039
Laing, Carlo R.; Zou, Yu; Smith, Ben; Kevrekidis, Ioannis G.
4
2012
Fronts and bumps in spatially extended Kuramoto networks. Zbl 1262.34038
Laing, Carlo R.
16
2011
Stochastic methods in neuroscience. Zbl 1177.92007
Laing, Carlo; Lord, Gabriel J.
11
2010
Exploiting the Hamiltonian structure of a neural field model. Zbl 1203.37034
Elvin, A. J.; Laing, C. R.; McLachlan, R. I.; Roberts, M. G.
9
2010
Bifurcations of lurching waves in a thalamic neuronal network. Zbl 1403.92047
Wasylenko, Thomas M.; Cisternas, Jaime E.; Laing, Carlo R.; Kevrekidis, Ioannis G.
5
2010
The dynamics of chimera states in heterogeneous Kuramoto networks. Zbl 1185.34042
Laing, Carlo R.
67
2009
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
36
2009
Delays in activity-based neural networks. Zbl 1185.92003
Coombes, Stephen; Laing, Carlo
23
2009
Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-dimensional approach. Zbl 1139.34308
Laing, Carlo R.; Kevrekidis, Ioannis G.
7
2008
Coarse-grained dynamics of an activity bump in a neural field model. Zbl 1125.60061
Laing, C. R.; Frewen, T. A.; Kevrekidis, I. G.
7
2007
On the application of “equation-free modelling” to neural systems. Zbl 1119.92014
Laing, Carlo R.
6
2006
Spiral waves in nonlocal equations. Zbl 1090.37056
Laing, Carlo R.
22
2005
Mode locking in a periodically forced “ghostbursting” neuron model. Zbl 1089.37052
Laing, Carlo R.; Coombes, Stephen
4
2005
Ghostbursting: the role of active dendrites in electrosensory processing. Zbl 1406.91305
Laing, Carlo R.; Doiron, Brent
1
2005
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
56
2003
Two-bump solutions of Amari-type models of neuronal pattern formation. Zbl 1011.92007
Laing, Carlo R.; Troy, William C.
31
2003
Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Zbl 1142.92306
Laing, Carlo R.; Longtin, André
10
2003
Multiple bumps in a neuronal model of working memory. Zbl 1017.45006
Laing, Carlo R.; Troy, William C.; Gutkin, Boris; Ermentrout, G. Bard
80
2002
A two-variable model of somatic-dendritic interactions in a bursting neuron. Zbl 1334.92076
Laing, Carlo R.; Longtin, André
6
2002
Ghostbursting: the effects of dendrites on spike patterns. Zbl 1007.68794
Laing, Carlo R.; Doiron, Brent; Longtin, André; Maler, Len
3
2002
Stationary bumps in networks of spiking neurons. Zbl 0978.92004
Laing, Carlo R.; Chow, Carson C.
51
2001
Noise-induced stabilization of bumps in systems with long-range spatial coupling. Zbl 0997.92002
Laing, Carlo R.; Longtin, André
9
2001
Symmetry and chaos in the complex Ginzburg-Landau equation. II: Translational symmetries. Zbl 0941.35102
Aston, Philip J.; Laing, Carlo R.
2
2000
The post-processed Galerkin method applied to nonlinear shell vibrations. Zbl 0942.74079
Laing, Carlo R.; McRobie, Allan; Thompson, J. M. T.
6
1999
Symmetry and chaos in the complex Ginzburg-Landau equation. I: Reflectional symmetries. Zbl 0936.35025
Aston, Philip J.; Laing, Carlo R.
3
1999
Rotating waves in rings of coupled oscillators. Zbl 0934.34029
Laing, Carlo R.
3
1998
Bifocal homoclinic bifurcations. Zbl 0887.34031
Laing, Carlo; Glendinning, Paul
5
1997
A homoclinic hierarchy. Zbl 1073.37525
Glendinning, Paul; Laing, Carlo
7
1996
Successive homoclinic tangencies to a limit cycle. Zbl 0886.34028
Hirschberg, P.; Laing, Carlo
11
1995
all top 5

Cited by 566 Authors

33 Laing, Carlo R.
16 Coombes, Stephen
13 Kilpatrick, Zachary P.
13 Wyller, John A.
10 Omel’chenko, Oleh E.
9 Kevrekidis, Ioannis George
7 Ponosov, Arcady V.
6 da Silva, Severino Horácio
6 Faye, Grégory
6 Longtin, André
6 Oleynik, Anna
6 Wolfrum, Matthias
5 Bressloff, Paul C.
5 Einevoll, Gaute T.
5 Ermentrout, Bard G.
5 Hutt, Axel
5 Medvedev, Georgi S.
5 Pikovsky, Arkady S.
5 Simpson, David John Warwick
4 Anishchenko, Vadim Semenovich
4 Bhowmik, Samir Kumar
4 Dudkowski, Dawid
4 Kapitaniak, Tomasz
4 Martens, Erik A.
4 Poll, Daniel B.
4 Schöll, Eckehard
4 van Gils, Stephan A.
4 Zhang, Linghai
3 Aihara, Kazuyuki
3 Ashwin, Peter
3 Avitabile, Daniele
3 Bashkirtseva, Irina Adol’fovna
3 Bick, Christian
3 Caldas, Iberê L.
3 Chaillet, Antoine
3 Chossat, Pascal
3 Czolczynski, Krzysztof
3 Doiron, Brent
3 Ha, Seung-Yeal
3 Jalan, Sarika
3 Kühn, Christian
3 Kuznetsov, Yuri Alexandrovich
3 Maistrenko, Yuri L.
3 Medrano-T., Rene O.
3 Nekorkin, Vladimir I.
3 Osipov, Grigory V.
3 Ott, Edward
3 Palfi, Stéphane
3 Pereira, Antônio Luiz
3 Rajendran, Karthikeyan
3 Rodríguez-Luis, Alejandro J.
3 Ryashko, Lev Borisovich
3 Schmidt, Helmut
3 Senova, Suhan
3 Smirnov, Lev A.
3 Veltz, Romain
3 Visser, Sid
3 Zakharova, Anna
2 Abrams, Daniel M.
2 Alonso Quesada, Santiago
2 Antonsen, Thomas M. jun.
2 Atay, Fatihcan M.
2 Athavan, N.
2 Baptista, Murilo S.
2 Barreto, Ernest
2 Bicho, Estela
2 Blomquist, Patrick
2 Boccaletti, Stefano
2 Bolotov, Maxim I.
2 Botelho, Fernanda
2 Burlakov, Evgenii O.
2 Burylko, O. A.
2 Champneys, Alan R.
2 Chandrasekar, V. K.
2 Chappell, David J.
2 Choe, Chol-Ung
2 Chow, Carson C.
2 Chuzhanova, N.
2 Cisternas, Jaime E.
2 Crofts, Jonathan J.
2 Dai, Qionglin
2 de la Sen, Manuel
2 Detorakis, Georgios Is.
2 Duarte, Jorge
2 Engel, Harald
2 Erlhagen, Wolfram
2 Fernández-Sánchez, Fernando
2 Guo, Shuangjian
2 Hart Murdock, Julie Angela
2 Ibáñez, Santiago
2 Ibeas, Asier
2 Jafari, Sajad
2 Jamison, James Edward
2 Janssens, Sebastiaan G.
2 Jaramillo, Gabriela
2 Jin, Dequan
2 Josić, Krešimir
2 Kang, Myeongju
2 Kasatkin, D. V.
2 Kawamura, Yoji
...and 466 more Authors
all top 5

Cited in 73 Serials

65 Chaos
42 Physica D
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 The Journal of Mathematical Neuroscience
17 Neural Computation
15 Journal of Computational Neuroscience
15 SIAM Journal on Applied Dynamical Systems
14 Biological Cybernetics
10 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Mathematical Biology
7 Nonlinear Dynamics
6 Chaos, Solitons and Fractals
5 Nonlinearity
5 Physics Reports
5 Discrete and Continuous Dynamical Systems
5 Differential Equations and Dynamical Systems
4 Mathematical Biosciences
4 Neural Networks
3 Journal of Mathematical Analysis and Applications
3 Journal of Statistical Physics
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Applied Mathematics
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 New Journal of Physics
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of Mathematical Biology
2 Automatica
2 Journal of Differential Equations
2 Applied Numerical Mathematics
2 Dynamics and Stability of Systems
2 Journal of Dynamics and Differential Equations
2 Journal of Nonlinear Science
2 Journal of Mathematical Sciences (New York)
2 Regular and Chaotic Dynamics
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Theoretical Biology
2 Journal of Computational Dynamics
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Journal of Mathematical Psychology
1 Transactions of the American Mathematical Society
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 The Annals of Applied Probability
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 SIAM Review
1 Stochastic Processes and their Applications
1 Topological Methods in Nonlinear Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Journal of Difference Equations and Applications
1 Abstract and Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Engineering Computations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Advances in Difference Equations
1 Networks and Heterogeneous Media
1 Nonlinear Analysis. Hybrid Systems
1 Mathematical Modelling of Natural Phenomena
1 São Paulo Journal of Mathematical Sciences
1 Nelineĭnaya Dinamika
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year