Edit Profile (opens in new tab) Rubin, Jonathan E. Compute Distance To: Compute Author ID: rubin.jonathan-e Published as: Rubin, Jonathan E.; Rubin, Jonathan; Rubin, J. E.; Rubin, J.; Rubin, Jonathan. E. more...less Homepage: http://www.math.pitt.edu/~rubin/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp Documents Indexed: 73 Publications since 1990 1 Contribution as Editor Co-Authors: 80 Co-Authors with 67 Joint Publications 1,245 Co-Co-Authors all top 5 Co-Authors 4 single-authored 7 Terman, David H. 6 Clermont, Gilles 6 Swigon, David 5 Ermentrout, Bard G. 5 Letson, Benjamin 5 Vodovotz, Yoram 4 Day, Judy D. 4 Ermentrout, George Bard 4 Wang, Yangyang 4 Wechselberger, Martin 3 Josić, Krešimir 3 Signerska-Rynkowska, Justyna 3 Stanhope, Shelby R. 3 Su, Jianzhong 3 Touboul, Jonathan David 2 Bose, Amitabha 2 Chow, Carson C. 2 Curtu, Rodica 2 Daun, Silvia 2 Dunmyre, Justin R. 2 Jones, Christopher K. R. T. 2 Osan, Remus 2 Park, Choongseok 2 Ramirez-Zuniga, Ivan 2 Reynolds, Angela 2 Smith, Jeffrey C. 2 Vidal, Alexandre 2 Wang, Jiaoyan 2 Young, Glenn 1 Abdulla, Muhammad U. 1 Afrazi, Amin 1 An, Gary 1 Arciero, Julia C. 1 Bacak, Bartholomew J. 1 Best, Janet A. 1 Borisyuk, Alla 1 Butera, Robert J. jun. 1 Codianni, Marcello G. 1 Constantine, Gregory M. 1 Costello, Willie 1 Csete, Marie 1 Del Negro, Christopher A. 1 Demir, Mahmut 1 Drover, Jonathan D. 1 Duanmu, M. 1 Dunovan, K. 1 Hackam, David 1 Jalics, Jozsi Z. 1 Jimenez, Nicolas D. 1 Kapitula, Todd M. 1 Kevrekidis, Panayotis G. 1 Kirk, Vivien 1 Kubota, Shigeru 1 Manica, Evandro 1 Matías, Manuel A. 1 Maxey, Martin R. 1 Medvedev, Georgi S. 1 Mihalaş, Ştefan 1 Molkov, Yaroslav I. 1 Nan, Pingyu 1 Niebur, Ernst 1 Parks, Helen F. 1 Perez Gonzalez, Humberto 1 Phillips, Ryan S. 1 Ran, André C. M. 1 Redl, Heinz 1 Roberts, Kerry-Lyn 1 Rodman, Leiba X. 1 Romo, Ranulfo 1 Roy, Anirban 1 Rybak, Ilya A. 1 Salman, Hanna 1 Shevtsova, Natalia A. 1 Siggers, Richard 1 Snyder, Abigail C. 1 Troy, William C. 1 Vainchtein, Anna 1 Verstynen, Timothy 1 Vich, Catalina 1 Vo, Theodore 1 Voit, Eberhard Otto 1 Whitaker, Nathaniel 1 Winternitz, Pavel 1 Zenker, Sven all top 5 Serials 15 SIAM Journal on Applied Dynamical Systems 6 Journal of Computational Neuroscience 6 Journal of Theoretical Biology 5 SIAM Journal on Applied Mathematics 4 Physica D 4 Discrete and Continuous Dynamical Systems. Series B 4 The Journal of Mathematical Neuroscience 3 Biological Cybernetics 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Nonlinearity 2 Chaos 2 SIAM/ASA Journal on Uncertainty Quantification 1 Inverse Problems 1 Journal of Mathematical Physics 1 Bulletin of Mathematical Biology 1 Neural Computation 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Network: Computation in Neural Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Algebraic & Geometric Topology 1 Mathematical Biosciences and Engineering all top 5 Fields 57 Biology and other natural sciences (92-XX) 37 Ordinary differential equations (34-XX) 22 Dynamical systems and ergodic theory (37-XX) 6 Partial differential equations (35-XX) 5 Integral equations (45-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 520 times in 354 Documents Cited by ▼ Year ▼ Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Zbl 1125.92015Rubin, Jonathan; Wechselberger, Martin 46 2007 Multi-timescale systems and fast-slow analysis. Zbl 1377.92035Bertram, Richard; Rubin, Jonathan E. 41 2017 The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales. Zbl 1306.34060Rubin, Jonathan; Wechselberger, Martin 31 2008 Geometric singular perturbation analysis of neuronal dynamics. Zbl 1015.34048Rubin, Jonathan E.; Terman, David 30 2002 Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies. Zbl 1121.34059Drover, Jonathan; Rubin, Jonathan; Su, Jianzhong; Ermentrout, Bard 23 2004 The dynamic range of bursting in a model respiratory pacemaker network. Zbl 1106.34023Best, Janet; Borisyuk, Alla; Rubin, Jonathan; Terman, David; Wechselberger, Martin 20 2005 Effects of noise on elliptic bursters. Zbl 1083.37533Su, Jianzhong; Rubin, Jonathan; Terman, David 20 2004 Stimulus-driven traveling solutions in continuum neuronal models with a general smooth firing rate function. Zbl 1209.92009Ermentrout, G. Bard; Jalics, Jozsi Z.; Rubin, Jonathan E. 18 2010 Sustained spatial patterns of activity in neuronal populations without recurrent excitation. Zbl 1075.45011Rubin, Jonathan E.; Troy, William C. 17 2004 Synchronized activity and loss of synchrony among heterogeneous conditional oscillators. Zbl 1015.34027Rubin, Jonathan; Terman, David 16 2002 Analysis of clustered firing patterns in synaptically coupled networks of oscillators. Zbl 1002.92004Rubin, Jonathan; Terman, David 15 2000 Existence and stability of standing hole solutions to complex Ginzburg-Landau equations. Zbl 1012.35043Kapitula, Todd; Rubin, Jonathan 15 2000 Settling and asymptotic motion of aerosol particles in a cellular flow field. Zbl 0841.76089Rubin, J.; Jones, C. K. R. T.; Maxey, M. 14 1995 Interaction of canard and singular Hopf mechanisms in a neural model. Zbl 1241.34058Curtu, R.; Rubin, J. 14 2011 Mechanistic simulations of inflammation: current state and future prospects. Zbl 1158.92318Vodovotz, Yoram; Constantine, Gregory; Rubin, Jonathan; Csete, Marie; Voit, Eberhard O.; An, Gary 14 2009 Understanding and distinguishing three-time-scale oscillations: case study in a coupled Morris-Lecar system. Zbl 1329.34094Nan, Pingyu; Wang, Yangyang; Kirk, Vivien; Rubin, Jonathan E. 13 2015 Averaging, folded singularities, and torus canards: explaining transitions between bursting and spiking in a coupled neuron model. Zbl 1360.37183Roberts, Kerry-Lyn; Rubin, Jonathan E.; Wechselberger, Martin 12 2015 Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 0896.34041Jones, Christopher K. R. T.; Rubin, Jonathan E. 10 1998 An ensemble of models of the acute inflammatory response to bacterial lipopolysaccharide in rats: results from parameter space reduction. Zbl 1398.92053Daun, Silvia; Rubin, Jonathan; Vodovotz, Yoram; Roy, Anirban; Parker, Robert; Clermont, Gilles 9 2008 Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons. Zbl 1276.92019Park, Choongseok; Rubin, Jonathan E. 9 2013 A new frame for an old (phase) portrait: finding rivers and other flow features in the plane. Zbl 1405.34032Letson, Benjamin; Rubin, Jonathan E. 8 2018 A reduced mathematical model of the acute inflammatory response. I: Derivation of model and analysis of anti-inflammation. Zbl 1441.92013Reynolds, Angela; Rubin, Jonathan; Clermont, Gilles; Day, Judy; Vodovotz, Yoram; Bard Ermentrout, G. 7 2006 Point symmetries of conditionally integrable nonlinear evolution equations. Zbl 0722.58026Rubin, J.; Winternitz, P. 7 1990 Stability, bifurcations and edge oscillations in standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 1089.35511Rubin, J. E. 7 1999 Identifiability of linear and linear-in-parameters dynamical systems from a single trajectory. Zbl 1303.93066Stanhope, S.; Rubin, J. E.; Swigon, D. 6 2014 Regular traveling waves in a one-dimensional network of Theta neurons. Zbl 1012.34034Osan, Remus; Rubin, Jonathan; Ermentrout, Bard 6 2002 Multiple timescale mixed bursting dynamics in a respiratory neuron model. Zbl 1382.92099Wang, Yangyang; Rubin, Jonathan E. 6 2016 Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation. Zbl 1259.92036Day, Judy; Rubin, Jonathan; Clermont, Gilles 6 2010 LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065Letson, Benjamin; Rubin, Jonathan E. 5 2020 Analysis of interacting local oscillation mechanisms in three-timescale systems. Zbl 1369.34078Letson, Benjamin; Rubin, Jonathan E.; Vo, Theodore 5 2017 Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. Zbl 1375.34075Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 5 2017 Locally contractive dynamics in generalized integrate-and-fire neurons. Zbl 1284.37030Jimenez, Nicolas D.; Mihalas, Stefan; Brown, Richard; Niebur, Ernst; Rubin, Jonathan 5 2013 Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. Zbl 0780.15009Ran, André C. M.; Rodman, Leiba; Rubin, Jonathan E. 4 1993 Explicit maps to predict activation order in multiphase rhythms of a coupled cell network. Zbl 1291.92046Rubin, Jonathan E.; Terman, David 4 2012 The geometry of neuronal recruitment. Zbl 1097.92011Rubin, Jonathan; Bose, Amitabha 4 2006 Optimal intrinsic dynamics for bursting in a three-cell network. Zbl 1195.34068Dunmyre, Justin R.; Rubin, Jonathan E. 4 2010 The firing of an excitable neuron in the presence of stochastic trains of strong synaptic inputs. Zbl 1115.92012Rubin, Jonathan; Josić, Krešimir 4 2007 Robustness of solutions of the inverse problem for linear dynamical systems with uncertain data. Zbl 1391.93051Stanhope, S.; Rubin, J. E.; Swigon, D. 4 2017 Wild oscillations in a nonlinear neuron model with resets. I: Bursting, spike-adding and chaos. Zbl 1371.37032Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 4 2017 Complex bursting dynamics in an embryonic respiratory neuron model. Zbl 1437.92031Wang, Yangyang; Rubin, Jonathan E. 4 2020 Tailoring inputs to achieve maximal neuronal firing. Zbl 1259.92011Wang, Jiaoyan; Costello, Willie; Rubin, Jonathan E. 3 2011 First return maps for the dynamics of synaptically coupled conditional bursters. Zbl 1266.37052Manica, Evandro; Medvedev, Georgi S.; Rubin, Jonathan E. 3 2010 A boundary value approach to optimization with an application to salmonella competition. Zbl 1335.92085Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E. 3 2015 Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators. Zbl 1364.34043Duanmu, M.; Whitaker, N.; Kevrekidis, P. G.; Vainchtein, A.; Rubin, J. E. 2 2016 Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching. Zbl 1351.92011Snyder, Abigail C.; Rubin, Jonathan E. 2 2015 A reduced mathematical model of the acute inflammatory response. II: Capturing scenarios of repeated endotoxin administration. Zbl 1441.92011Day, Judy; Rubin, Jonathan; Vodovotz, Yoram; Chow, Carson C.; Reynolds, Angela; Clermont, Gilles 2 2006 Interactions of persistent sodium and calcium-activated nonspecific cationic currents yield dynamically distinct bursting regimes in a model of respiratory neurons. Zbl 1446.92042Dunmyre, Justin R.; Del Negro, Christopher A.; Rubin, Jonathan E. 2 2011 Oscillatory bursting mechnisms in respiratory pacemaker neurons and networks. Zbl 1404.92046Butera, Robert; Rubin, Jonathan; Terman, David; Smith, Jeffrey 2 2005 A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium. Zbl 1052.92018Rubin, Jonathan E. 2 2004 Multiple-spike waves in a one-dimensional integrate-and-fire neural network. Zbl 1063.92015Oşan, Remus; Curtu, Rodica; Rubin, Jonathan; Ermentrout, Bard 2 2004 Mathematical modeling of energy consumption in the acute inflammatory response. Zbl 1406.92114Ramirez-Zuniga, Ivan; Rubin, Jonathan E.; Swigon, David; Clermont, Gilles 2 2019 Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons. Zbl 1395.92048Wang, Yangyang; Rubin, Jonathan E. 1 2017 Interacting oscillations in neural control of breathing: modeling and qualitative analysis. Zbl 1446.92072Rubin, Jonathan E.; Bacak, Bartholomew J.; Molkov, Yaroslav I.; Shevtsova, Natalia A.; Smith, Jeffrey C.; Rybak, Ilya A. 1 2011 On the importance of the Jacobian determinant in parameter inference for random parameter and random measurement error models. Zbl 1433.62091Swigon, David; Stanhope, Shelby R.; Zenker, Sven; Rubin, Jonathan E. 1 2019 The dynamics of a forced coupled network of active elements. Zbl 1214.37058Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E. 1 2011 Competition between transients in the rate of approach to a fixed point. Zbl 1185.37037Day, Judy; Rubin, Jonathan E.; Chow, Carson C. 1 2009 Deriving information about architecture from activity patterns in coupled cell systems. Zbl 1090.34041Josic, Kresimir; Rubin, Jonathan 1 2005 Local orthogonal rectification: deriving natural coordinates to study flows relative to manifolds. Zbl 1450.34014Letson, Benjamin; Rubin, Jonathan E. 1 2020 Identification of affine dynamical systems from a single trajectory. Zbl 1451.34021Duan, X.; Rubin, J. E.; Swigon, D. 1 2020 The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG. Zbl 1460.92035Codianni, Marcello G.; Daun, Silvia; Rubin, Jonathan E. 1 2020 Type III responses to transient inputs in hybrid nonlinear neuron models. Zbl 1476.37107Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D. 1 2021 Combinatorial \(N_\infty\) operads. Zbl 1482.55011Rubin, Jonathan 1 2021 Type III responses to transient inputs in hybrid nonlinear neuron models. Zbl 1476.37107Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D. 1 2021 Combinatorial \(N_\infty\) operads. Zbl 1482.55011Rubin, Jonathan 1 2021 LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065Letson, Benjamin; Rubin, Jonathan E. 5 2020 Complex bursting dynamics in an embryonic respiratory neuron model. Zbl 1437.92031Wang, Yangyang; Rubin, Jonathan E. 4 2020 Local orthogonal rectification: deriving natural coordinates to study flows relative to manifolds. Zbl 1450.34014Letson, Benjamin; Rubin, Jonathan E. 1 2020 Identification of affine dynamical systems from a single trajectory. Zbl 1451.34021Duan, X.; Rubin, J. E.; Swigon, D. 1 2020 The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG. Zbl 1460.92035Codianni, Marcello G.; Daun, Silvia; Rubin, Jonathan E. 1 2020 Mathematical modeling of energy consumption in the acute inflammatory response. Zbl 1406.92114Ramirez-Zuniga, Ivan; Rubin, Jonathan E.; Swigon, David; Clermont, Gilles 2 2019 On the importance of the Jacobian determinant in parameter inference for random parameter and random measurement error models. Zbl 1433.62091Swigon, David; Stanhope, Shelby R.; Zenker, Sven; Rubin, Jonathan E. 1 2019 A new frame for an old (phase) portrait: finding rivers and other flow features in the plane. Zbl 1405.34032Letson, Benjamin; Rubin, Jonathan E. 8 2018 Multi-timescale systems and fast-slow analysis. Zbl 1377.92035Bertram, Richard; Rubin, Jonathan E. 41 2017 Analysis of interacting local oscillation mechanisms in three-timescale systems. Zbl 1369.34078Letson, Benjamin; Rubin, Jonathan E.; Vo, Theodore 5 2017 Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. Zbl 1375.34075Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 5 2017 Robustness of solutions of the inverse problem for linear dynamical systems with uncertain data. Zbl 1391.93051Stanhope, S.; Rubin, J. E.; Swigon, D. 4 2017 Wild oscillations in a nonlinear neuron model with resets. I: Bursting, spike-adding and chaos. Zbl 1371.37032Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 4 2017 Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons. Zbl 1395.92048Wang, Yangyang; Rubin, Jonathan E. 1 2017 Multiple timescale mixed bursting dynamics in a respiratory neuron model. Zbl 1382.92099Wang, Yangyang; Rubin, Jonathan E. 6 2016 Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators. Zbl 1364.34043Duanmu, M.; Whitaker, N.; Kevrekidis, P. G.; Vainchtein, A.; Rubin, J. E. 2 2016 Understanding and distinguishing three-time-scale oscillations: case study in a coupled Morris-Lecar system. Zbl 1329.34094Nan, Pingyu; Wang, Yangyang; Kirk, Vivien; Rubin, Jonathan E. 13 2015 Averaging, folded singularities, and torus canards: explaining transitions between bursting and spiking in a coupled neuron model. Zbl 1360.37183Roberts, Kerry-Lyn; Rubin, Jonathan E.; Wechselberger, Martin 12 2015 A boundary value approach to optimization with an application to salmonella competition. Zbl 1335.92085Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E. 3 2015 Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching. Zbl 1351.92011Snyder, Abigail C.; Rubin, Jonathan E. 2 2015 Identifiability of linear and linear-in-parameters dynamical systems from a single trajectory. Zbl 1303.93066Stanhope, S.; Rubin, J. E.; Swigon, D. 6 2014 Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons. Zbl 1276.92019Park, Choongseok; Rubin, Jonathan E. 9 2013 Locally contractive dynamics in generalized integrate-and-fire neurons. Zbl 1284.37030Jimenez, Nicolas D.; Mihalas, Stefan; Brown, Richard; Niebur, Ernst; Rubin, Jonathan 5 2013 Explicit maps to predict activation order in multiphase rhythms of a coupled cell network. Zbl 1291.92046Rubin, Jonathan E.; Terman, David 4 2012 Interaction of canard and singular Hopf mechanisms in a neural model. Zbl 1241.34058Curtu, R.; Rubin, J. 14 2011 Tailoring inputs to achieve maximal neuronal firing. Zbl 1259.92011Wang, Jiaoyan; Costello, Willie; Rubin, Jonathan E. 3 2011 Interactions of persistent sodium and calcium-activated nonspecific cationic currents yield dynamically distinct bursting regimes in a model of respiratory neurons. Zbl 1446.92042Dunmyre, Justin R.; Del Negro, Christopher A.; Rubin, Jonathan E. 2 2011 Interacting oscillations in neural control of breathing: modeling and qualitative analysis. Zbl 1446.92072Rubin, Jonathan E.; Bacak, Bartholomew J.; Molkov, Yaroslav I.; Shevtsova, Natalia A.; Smith, Jeffrey C.; Rybak, Ilya A. 1 2011 The dynamics of a forced coupled network of active elements. Zbl 1214.37058Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E. 1 2011 Stimulus-driven traveling solutions in continuum neuronal models with a general smooth firing rate function. Zbl 1209.92009Ermentrout, G. Bard; Jalics, Jozsi Z.; Rubin, Jonathan E. 18 2010 Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation. Zbl 1259.92036Day, Judy; Rubin, Jonathan; Clermont, Gilles 6 2010 Optimal intrinsic dynamics for bursting in a three-cell network. Zbl 1195.34068Dunmyre, Justin R.; Rubin, Jonathan E. 4 2010 First return maps for the dynamics of synaptically coupled conditional bursters. Zbl 1266.37052Manica, Evandro; Medvedev, Georgi S.; Rubin, Jonathan E. 3 2010 Mechanistic simulations of inflammation: current state and future prospects. Zbl 1158.92318Vodovotz, Yoram; Constantine, Gregory; Rubin, Jonathan; Csete, Marie; Voit, Eberhard O.; An, Gary 14 2009 Competition between transients in the rate of approach to a fixed point. Zbl 1185.37037Day, Judy; Rubin, Jonathan E.; Chow, Carson C. 1 2009 The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales. Zbl 1306.34060Rubin, Jonathan; Wechselberger, Martin 31 2008 An ensemble of models of the acute inflammatory response to bacterial lipopolysaccharide in rats: results from parameter space reduction. Zbl 1398.92053Daun, Silvia; Rubin, Jonathan; Vodovotz, Yoram; Roy, Anirban; Parker, Robert; Clermont, Gilles 9 2008 Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Zbl 1125.92015Rubin, Jonathan; Wechselberger, Martin 46 2007 The firing of an excitable neuron in the presence of stochastic trains of strong synaptic inputs. Zbl 1115.92012Rubin, Jonathan; Josić, Krešimir 4 2007 A reduced mathematical model of the acute inflammatory response. I: Derivation of model and analysis of anti-inflammation. Zbl 1441.92013Reynolds, Angela; Rubin, Jonathan; Clermont, Gilles; Day, Judy; Vodovotz, Yoram; Bard Ermentrout, G. 7 2006 The geometry of neuronal recruitment. Zbl 1097.92011Rubin, Jonathan; Bose, Amitabha 4 2006 A reduced mathematical model of the acute inflammatory response. II: Capturing scenarios of repeated endotoxin administration. Zbl 1441.92011Day, Judy; Rubin, Jonathan; Vodovotz, Yoram; Chow, Carson C.; Reynolds, Angela; Clermont, Gilles 2 2006 The dynamic range of bursting in a model respiratory pacemaker network. Zbl 1106.34023Best, Janet; Borisyuk, Alla; Rubin, Jonathan; Terman, David; Wechselberger, Martin 20 2005 Oscillatory bursting mechnisms in respiratory pacemaker neurons and networks. Zbl 1404.92046Butera, Robert; Rubin, Jonathan; Terman, David; Smith, Jeffrey 2 2005 Deriving information about architecture from activity patterns in coupled cell systems. Zbl 1090.34041Josic, Kresimir; Rubin, Jonathan 1 2005 Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies. Zbl 1121.34059Drover, Jonathan; Rubin, Jonathan; Su, Jianzhong; Ermentrout, Bard 23 2004 Effects of noise on elliptic bursters. Zbl 1083.37533Su, Jianzhong; Rubin, Jonathan; Terman, David 20 2004 Sustained spatial patterns of activity in neuronal populations without recurrent excitation. Zbl 1075.45011Rubin, Jonathan E.; Troy, William C. 17 2004 A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium. Zbl 1052.92018Rubin, Jonathan E. 2 2004 Multiple-spike waves in a one-dimensional integrate-and-fire neural network. Zbl 1063.92015Oşan, Remus; Curtu, Rodica; Rubin, Jonathan; Ermentrout, Bard 2 2004 Geometric singular perturbation analysis of neuronal dynamics. Zbl 1015.34048Rubin, Jonathan E.; Terman, David 30 2002 Synchronized activity and loss of synchrony among heterogeneous conditional oscillators. Zbl 1015.34027Rubin, Jonathan; Terman, David 16 2002 Regular traveling waves in a one-dimensional network of Theta neurons. Zbl 1012.34034Osan, Remus; Rubin, Jonathan; Ermentrout, Bard 6 2002 Analysis of clustered firing patterns in synaptically coupled networks of oscillators. Zbl 1002.92004Rubin, Jonathan; Terman, David 15 2000 Existence and stability of standing hole solutions to complex Ginzburg-Landau equations. Zbl 1012.35043Kapitula, Todd; Rubin, Jonathan 15 2000 Stability, bifurcations and edge oscillations in standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 1089.35511Rubin, J. E. 7 1999 Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 0896.34041Jones, Christopher K. R. T.; Rubin, Jonathan E. 10 1998 Settling and asymptotic motion of aerosol particles in a cellular flow field. Zbl 0841.76089Rubin, J.; Jones, C. K. R. T.; Maxey, M. 14 1995 Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. Zbl 0780.15009Ran, André C. M.; Rodman, Leiba; Rubin, Jonathan E. 4 1993 Point symmetries of conditionally integrable nonlinear evolution equations. Zbl 0722.58026Rubin, J.; Winternitz, P. 7 1990 all cited Publications top 5 cited Publications all top 5 Cited by 602 Authors 35 Rubin, Jonathan E. 17 Wechselberger, Martin 12 Desroches, Mathieu 10 Krupa, Martin 10 Vo, Theodore 9 Kühn, Christian 8 Ermentrout, George Bard 8 Rotstein, Horacio G. 7 Kirk, Vivien 6 Bertram, Richard 6 Bi, Qinsheng 6 Duan, Lixia 6 Lafortune, Stéphane 6 Shilnikov, Andrey L. 6 Terman, David H. 6 Wilson, Dan D. 5 Clermont, Gilles 5 da Silva, Severino Horácio 5 Haller, George 5 Laing, Carlo R. 5 Osinga, Hinke Maria 5 Sneyd, James 5 Sun, Xiaobin 5 Swigon, David 5 Tabak, Joël 5 Touboul, Jonathan David 5 Vodovotz, Yoram 5 Xie, Yingchao 4 Belykh, Igor V. 4 Bose, Amitabha 4 Bressloff, Paul C. 4 Day, Judy D. 4 Einevoll, Gaute T. 4 Ersöz, Elif Köksal 4 Ghazaryan, Anna 4 Kaper, Tasso J. 4 Kevrekidis, Ioannis George 4 Krauskopf, Bernd 4 Letson, Benjamin 4 Medvedev, Georgi S. 4 Signerska-Rynkowska, Justyna 4 Thieullen, Michèle 4 Voit, Eberhard Otto 4 Wang, Yangyang 4 Wyller, John A. 3 Androulakis, Ioannis P. 3 Bel, Andrea L. 3 Coombes, Stephen 3 De Maesschalck, Peter 3 Djouadi, Seddik M. 3 Duan, Jinqiao 3 Eilertsen, Justin S. 3 Ermentrout, Bard G. 3 Granados, Albert 3 Jardón-Kojakhmetov, Hildeberto 3 Kilpatrick, Zachary P. 3 Kopell, Nancy J. 3 Li, Shihu 3 Liu, Wei 3 Park, Choongseok 3 Park, Youngmin 3 Pereira, Antônio Luiz 3 Rankin, James 3 Rodrigues, Serafim 3 Sapsis, Themistoklis P. 3 Schnell, Santiago 3 Vidal, Alexandre 3 Wang, Jiaoyan 3 Zhang, Xiaofang 2 Achuthan, Srisairam 2 Ahn, Sungwoo 2 Alaçam, Deniz 2 Angilella, Jean-Régis 2 Avitabile, Daniele 2 Bara, Ouassim 2 Basodi, Sunitha 2 Berglund, Nils 2 Blomquist, Patrick 2 Campbell, Sue Ann 2 Canavier, Carmen C. 2 Chandrasekaran, Lakshmi 2 Chen, Guanrong 2 Cisternas, Jaime E. 2 de Rijk, Björn 2 Doelman, Arjen 2 Engel, Maximilian 2 Faugeras, Olivier D. 2 Gao, Hongjun 2 Gentz, Barbara 2 Gu, Huaguang 2 Guillamon, Antoni 2 Harvey, Emily 2 Hasan, Cris R. 2 Hong, Wei 2 Howard, Peter 2 Jalics, Jozsi Z. 2 Jones, Christopher K. R. T. 2 Kawamura, Yoji 2 Krupa, Maciej 2 Lancaster, Peter ...and 502 more Authors all top 5 Cited in 72 Serials 45 Physica D 32 SIAM Journal on Applied Dynamical Systems 20 Journal of Computational Neuroscience 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Journal of Theoretical Biology 17 Chaos 17 The Journal of Mathematical Neuroscience 12 Biological Cybernetics 12 Journal of Mathematical Biology 12 Mathematical Biosciences 11 Journal of Differential Equations 10 Communications in Nonlinear Science and Numerical Simulation 9 Discrete and Continuous Dynamical Systems. Series B 7 SIAM Journal on Applied Mathematics 7 Journal of Nonlinear Science 6 Chaos, Solitons and Fractals 5 Bulletin of Mathematical Biology 5 Neural Computation 5 Journal of Dynamics and Differential Equations 4 Linear Algebra and its Applications 4 Physics of Fluids 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 SIAM Journal on Mathematical Analysis 3 Differential Equations and Dynamical Systems 3 Nonlinear Dynamics 3 Nonlinear Analysis. Real World Applications 3 Mathematical Biosciences and Engineering 3 SIAM/ASA Journal on Uncertainty Quantification 2 Communications in Mathematical Physics 2 Inverse Problems 2 Journal of Computational Physics 2 Applied Mathematics and Computation 2 Transactions of the American Mathematical Society 2 Neural Networks 2 SIAM Review 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Discrete and Continuous Dynamical Systems. Series S 2 Electronic Research Archive 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Reviews of Modern Physics 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Complexity 1 Bernoulli 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Regular and Chaotic Dynamics 1 Journal of Biological Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Dynamical Systems 1 Computational & Mathematical Methods in Medicine 1 Mathematical Modelling of Natural Phenomena 1 São Paulo Journal of Mathematical Sciences 1 Journal of Computational Dynamics 1 ISRN Biomathematics 1 Discontinuity, Nonlinearity, and Complexity 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SN Partial Differential Equations and Applications 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 31 Fields 224 Biology and other natural sciences (92-XX) 148 Ordinary differential equations (34-XX) 100 Dynamical systems and ergodic theory (37-XX) 63 Partial differential equations (35-XX) 27 Probability theory and stochastic processes (60-XX) 21 Integral equations (45-XX) 17 Mechanics of particles and systems (70-XX) 17 Fluid mechanics (76-XX) 16 Numerical analysis (65-XX) 14 Systems theory; control (93-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.