## Physical Review E. Third Series

### Statistical, Nonlinear, and Soft Matter Physics

 Short Title: Phys. Rev. E (3) Publisher: American Physical Society (APS), New York, NY ISSN: 1539-3755; 1550-2376/e Online: http://journals.aps.org/pre/ Comments: No longer indexed; continues in part: Phys. Rev. A (3) (ISSN 1050-2947; 1094-1622).
 Documents Indexed: 120 Publications (1993–2010) References Indexed: 119 Publications with 3,748 References.
all top 5

### Latest Issues

 81, No. 3 (2010) 76, No. 2 (2007) 73, No. 6 (2006) 65, No. 4 (2002) 63, No. 5 (2000) 61, No. 2 (2000) 60, No. 6, Part A (1999) 57, No. 4 (1998) 57, No. 1 (1998) 55, No. 4 (1997) 54, No. 6 (1996) 50, No. 6 (1994) 50, No. 4 (1994) 50, No. 3 (1994) 49, No. 6, Part A (1994) 49, No. 5, Part B (1994) 49, No. 3 (1994) 49, No. 1 (1994) 48, No. 4 (1993) 48, No. 3 (1993) 47, No. 4 (1993)
all top 5

### Authors

 7 Bray, Alan J. 4 Procaccia, Itamar 3 Kevrekidis, Panayotis G. 3 Sire, Clément 2 Barra, Felipe 2 Blundell, R. E. 2 Chavanis, Pierre-Henri 2 Goldenfeld, Nigel 2 Kaminski Lenzi, Ervin 2 Kurths, Jürgen 2 Levermann, Anders 2 Malacarne, L. C. 2 Mendes, Renio S. 2 Rutenberg, A. D. 2 Stewart, Iain W. 2 Whitaker, Nathaniel 2 Zaks, Michael A. 1 Abal, G. 1 Adamashvili, G. T. 1 Agudov, Nikolay V. 1 Agullo, Olivier 1 Akkerman, V’yacheslav 1 Allahverdyan, Armen E. 1 Andrievskiĭ, Boris Rostislavich 1 Antonov, N. V. 1 Antunes, Nuno D. 1 Ardill, R. W. B. 1 Baba, Nilüfer 1 Bacry, Emmanuel 1 Baltanás, José P. 1 Barsegov, Valeri 1 Bashkirtseva, Irina Adol’fovna 1 Bäumer, Boris 1 Benson, David A. 1 Berker, A. Nihat 1 Bernaola-Galván, Pedro A. 1 Bishop, Alan Reginald 1 Blumenfeld, Raphael 1 Bogomolny, E. B. 1 Boyer, Denis 1 Budyansky, M. V. 1 Burridge, D. J. 1 Bychkov, Vitaly V. 1 Caginalp, Gunduz 1 Calabrese, Pasquale 1 Carpena, Pedro 1 Cartwright, Julyan H. E. 1 Casado-Pascual, Jesús 1 Chacón-Acosta, Guillermo 1 Chatterjee, Nandini 1 Chen, Lin-Yuan 1 Chernyak, Vladimir Y. 1 Chertkov, Michael 1 Ciach, A. 1 Colinet, Pierre 1 Collet, Pierre 1 Comte, J. C. 1 Corberi, Federico 1 Crisanti, Andrea 1 Cubero, David 1 Daems, David 1 Davidovitch, Benny 1 de Candia, Antonio 1 Dean, David S. 1 Debosscher, A. 1 Destrade, Michel 1 Ditlevsen, Susanne 1 Donangelo, Raul 1 Dykman, Mark I. 1 E, Weinan 1 Ehrhardt, George C. M. A. 1 Eichmann, Anne 1 Evans, Robin J. 1 Eyink, Gregory L. 1 Fakhari, Abbas 1 Falcke, Martin 1 Fedotov, Sergei P. 1 Festa, Roberto 1 Filipe, João A. N. 1 Fleury, Vincent 1 Fouladvand, M. Ebrahim 1 Fradkov, Aleksandr L’vovich 1 Fuliński, Andrzej 1 Gac, Jakub M. 1 Georgeot, Bertrand 1 Ghosh, Saugata 1 Giannoni, Marie-Joya 1 Gluhovsky, Alexander 1 Goldobin, Denis S. 1 Good, D. J. 1 Gramss, Tino 1 Grosse, Ivo 1 Grossmann, Siegfried 1 Gunaratne, Gemunu H. 1 Guo, Zhaoli 1 Gupte, Neelima 1 Habib, Salman 1 Haelterman, Marc 1 Hakim, Vincent 1 Hammele, Martin ...and 155 more Authors
all top 5

### Fields

 61 Statistical mechanics, structure of matter (82-XX) 26 Dynamical systems and ergodic theory (37-XX) 18 Fluid mechanics (76-XX) 17 Biology and other natural sciences (92-XX) 13 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 11 Quantum theory (81-XX) 10 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 1,113 times in 1,086 Documents Cited by Year
Discrete lattice effects on the forcing term in the lattice Boltzmann method. Zbl 1244.76102
Guo, Zhaoli; Zheng, Chuguang; Shi, Baochang
2002
Quantitative phase-field modeling of dendritic growth in two and three dimensions. Zbl 1086.82558
Karma, Alain; Rappel, Wouter-Jan
1998
Stochastic solution of space-time fractional diffusion equations. Zbl 1244.60080
Meerschaert, Mark M.; Benson, David A.; Scheffler, Hans-Peter; Baeumer, Boris
2002
Modeling of spiking-bursting neural behavior using two-dimensional map. Zbl 1244.34077
Rulkov, Nikolai F.
2002
Estimation of the input parameters in the Feller neuronal model. Zbl 1244.92006
Ditlevsen, Susanne; Lansky, Petr
2006
Pattern formation in the presence of symmetries. Zbl 1062.76511
Gunaratne, Gemunu H.; Ouyang, Qi; Swinney, Harry L.
1994
Plasticity and learning in a network of coupled phase oscillators. Zbl 1244.34078
Seliger, Philip; Young, Stephen C.; Tsimring, Lev S.
2002
Huang, Debin
2006
Phase-field modeling by the method of lattice Boltzmann equations. Zbl 1263.76053
2010
Phase synchronization in the forced Lorenz system. Zbl 1062.37502
Park, Eun-Hyoung; Zaks, Michael A.; Kurths, Jürgen
1999
Continuum approach to discreteness. Zbl 1244.39005
Kevrekidis, P. G.; Kevrekidis, I. G.; Bishop, A. R.; Titi, E. S.
2002
Jets, stickiness, and anomalous transport. Zbl 1244.76014
Leoncini, Xavier; Zaslavsky, George M.
2002
Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons. Zbl 1244.34079
Tiesinga, P. H. E.
2002
Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network. Zbl 1244.82013
Hinczewski, Michael; Berker, A. Nihat
2006
Solitary and compactlike shear waves in the bulk of solids. Zbl 1244.74069
2006
Spreading and shortest paths in systems with sparse long-range connections. Zbl 1062.82507
Moukarzel, Cristian F.
1999
Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field. Zbl 1062.76512
Antonov, N. V.
1999
Phase separation in incompressible systems. Zbl 1110.82304
E, Weinan; Palffy-Muhoray, P.
1997
Analysis of symbolic sequences using the Jensen-Shannon divergence. Zbl 1245.94057
Grosse, Ivo; Bernaola-Galván, Pedro; Carpena, Pedro; Román-Roldán, Ramón; Oliver, Jose; Stanley, H. Eugene
2002
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I: Overdamped models. Zbl 1244.82036
Chavanis, Pierre-Henri; Sire, Clément
2006
Chaotic observer-based synchronization under information constraints. Zbl 1244.93145
Fradkov, Alexander L.; Andrievsky, Boris; Evans, Robin J.
2006
Fermi acceleration on the annular billiard. Zbl 1244.82039
de Carvalho, R. Egydio; Souza, F. Caetano; Leonel, Edson D.
2006
Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates. Zbl 1244.82043
Li, Lu; Malomed, Boris A.; Mihalache, Dumitru; Liu, W. M.
2006
Scroll waves in isotropic excitable media: linear instabilities, bifurcations, and restabilized states. Zbl 1244.35071
Henry, Hervé; Hakim, Vincent
2002
Newton’s laws of motion in the form of a Riccati equation. Zbl 1244.70008
Nowakowski, Marek; Rosu, Haret C.
2002
Antireliability of noise-driven neurons. Zbl 1244.92007
2006
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II: Inertial models. Zbl 1244.82037
Chavanis, Pierre-Henri; Sire, Clément
2006
Spatiotemporal coherence resonance of phase synchronization in weakly coupled chaotic oscillators. Zbl 1244.34059
Zhou, Changsong; Kurths, Jürgen
2002
Loop calculus in statistical physics and information science. Zbl 1244.82058
2006
Analysis of the $$\infty$$-replica symmetry breaking solution of the Sherrington-Kirkpatrick model. Zbl 1244.82084
Crisanti, Andrea; Rizzo, Tommaso
2002
Computation of the Lyapunov spectrum for continuous-time dynamical systems and discrete maps. Zbl 1062.37510
Janaki, T. M.; Rangarajan, Govindan; Habib, Salman; Ryne, Robert D.
1999
Growth laws for phase ordering. Zbl 0935.82571
Bray, A. J.; Rutenberg, A. D.
1994
Analogies between scaling in turbulence, field theory, and critical phenomena. Zbl 0923.76067
Eyink, Gregory; Goldenfeld, Nigel
1994
Renormalization group theory and variational calculations for propagating fronts. Zbl 0925.35127
Chen, Lin-Yuan; Goldenfeld, Nigel; Oono, Y.
1994
Numerical study of comparison of vorticity and passive vectors in turbulence and inviscid flows. Zbl 1244.76018
Ohkitani, Koji
2002
Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection. Zbl 1244.76011
Tong, Christopher; Gluhovsky, Alexander
2002
Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory. Zbl 1062.82506
Spohn, Herbert
1999
Phase-ordering kinetics of one-dimensional nonconserved scalar systems. Zbl 0935.82572
Rutenberg, A. D.; Bray, A. J.
1994
Fokker-Planck-type equations for a simple gas and for a semirelativistic Brownian motion from a relativistic kinetic theory. Zbl 1190.82038
Chacón-Acosta, Guillermo; Kremer, Gilberto M.
2007
Nonlinear anomalous diffusion equation and fractal dimension: exact generalized Gaussian solution. Zbl 1244.35072
Pedron, I. T.; Mendes, R. S.; Malacarne, L. C.; Lenzi, E. K.
2002
Global quantitative predictions of complex laser dynamics. Zbl 1244.78008
Wieczorek, Sebastian; Simpson, Thomas B.; Krauskopf, Bernd; Lenstra, Daan
2002
Lorenz-like systems and classical dynamical equations with memory forcing: an alternate point of view for singling out the origin of chaos. Zbl 1244.34067
Festa, Roberto; Mazzino, Andrea; Vincenzi, Dario
2002
Lyapunov exponents, noise-induced synchronization, and Parrondo’s paradox. Zbl 1244.34084
Kocarev, Ljupco; Tasev, Zarko
2002
Frequency of elemental events of intracellular $$\mathrm{Ca}^{2+}$$ dynamics. Zbl 1244.92016
Thul, Rüdiger; Falcke, Martin
2006
Extreme values and fat tails of multifractal fluctuations. Zbl 1244.82026
Muzy, Jean-François; Bacry, Emmanuel; Kozhemyak, A.
2006
Purity and decoherence in the theory of a damped harmonic oscillator. Zbl 1062.82505
Isar, A.; Sandulescu, A.; Scheid, W.
1999
Effect of viscosity in the dynamics of two point vortices: exact results. Zbl 1256.76021
Agullo, Olivier; Verga, Alberto
2000
Voronoi tessellation of the packing of fine uniform spheres. Zbl 1244.82086
Yang, R. Y.; Zou, R. P.; Yu, A. B.
2002
Singular self-preserving regimes of coagulation processes. Zbl 1244.82049
Lushnikov, A. A.; Kulmala, M.
2002
Bailout embeddings, targeting of invariant tori, and the control of Hamiltonian chaos. Zbl 1244.93068
Cartwright, Julyan H. E.; Magnasco, Marcelo O.; Piro, Oreste
2002
Quantum decoherence, Zeno process, and time symmetry breaking. Zbl 1244.81037
Petrosky, Tomio Y; Barsegov, Valeri
2002
Multifractal structure of the harmonic measure of diffusion-limited aggregates. Zbl 1244.28011
Jensen, Mogens H.; Levermann, Anders; Mathiesen, Joachim; Procaccia, Itamar
2002
Average entropy of a subsystem from its average Tsallis entropy. Zbl 1244.82005
Malacarne, L. C.; Mendes, R. S.; Lenzi, E. K.
2002
Skew-orthogonal polynomials and random-matrix ensembles. Zbl 1244.81027
Ghosh, Saugata; Pandey, Akhilesh
2002
High-frequency effects in the FitzHugh-Nagumo neuron model. Zbl 1244.92005
Cubero, David; Baltanás, J. P.; Casado-Pascual, Jesús
2006
Dynamics of vascular branching morphogenesis: the effect of blood and tissue flow. Zbl 1244.76128
Nguyen, Thi-Hanh; Eichmann, Anne; Le Noble, Ferdinand; Fleury, Vincent
2006
Monin-Lundgren hierarchy versus the Hopf equation in the statistical theory of turbulence. Zbl 1244.76016
Hosokawa, Iwao
2006
Effective action for stochastic partial differential equations. Zbl 1062.82512
Hochberg, David; Molina-París, Carmen; Pérez-Mercader, Juan; Visser, Matt
1999
Controlling Hamiltonian chaos via Gaussian curvature. Zbl 1062.37509
Oloumi, Atta; Teychenné, Denis
1999
Towards a systematic calculation of the scaling functions for the ordering kinetics of nonconserved fields. Zbl 0935.82512
Bray, A. J.; Humayun, K.
1993
Chaotic instabilities in smectic-$$C$$ liquid crystals. Zbl 0974.82510
Stewart, I. W.; Carlsson, T.; Leslie, F. M.
1994
Unification of one-dimensional Fokker-Planck equations beyond hypergeometrics: Factorizer solution method and eigenvalue schemes. Zbl 0914.60091
Debosscher, A.
1998
Trace formulas for arithmetical systems. Zbl 1119.81325
Bogomolny, E. B.; Georgeot, B.; Giannoni, M.-J.; Schmit, C.
1993
Off-equilibrium response function in the one-dimensional random-field Ising model. Zbl 1244.82072
Corberi, Federico; de Candia, Antonio; Lippiello, Eugenio; Zannetti, Marco
2002
Minimal model for tumor angiogenesis. Zbl 1244.92032
Kevrekidis, P. G.; Whitaker, N.; Good, D. J.; Herring, G. J.
2006
Explanation of the Gibbs paradox within the framework of quantum thermodynamics. Zbl 1244.82041
Allahverdyan, A. E.; Nieuwenhuizen, Theo M.
2006
Stochastic dynamo model for subcritical transition. Zbl 1244.76118
Fedotov, Sergei; Bashkirtseva, Irina; Ryashko, Lev
2006
Non-Markovian noise. Zbl 1062.82511
Fuliński, A.
1994
Formulating a first-principles statistical theory of growing surfaces in two-dimensional Laplacian fields. Zbl 1062.82508
Blumenfeld, Raphael
1994
Standing localized modes in nonlinear lattices. Zbl 1062.35505
Kivshar, Yuri S.; Haelterman, Marc; Sheppard, Adrian P.
1994
Decay of unstable equilibrium and nonequilibrium states with inverse probability current taken into account. Zbl 1062.82503
Agudov, N. V.; Malakhov, A. N.
1999
Exactly solvable two-way traffic model with ordered sequential update. Zbl 1062.82510
1999
Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: formulation and mean-field approximation. Zbl 1263.82041
Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L.
2010
Iterated conformal dynamics and Laplacian growth. Zbl 1244.28009
Barra, Felipe; Davidovitch, Benny; Procaccia, Itamar
2002
Spectral properties of quantized barrier billiards. Zbl 1244.81028
Wiersig, Jan
2002
Localized activity profiles and storage capacity of rate-based autoassociative networks. Zbl 1244.92027
Roudi, Yasser; Treves, Alessandro
2006
Synchronized flow and wide moving jams from balanced vehicular traffic. Zbl 1244.90060
Siebel, Florian; Mauser, Wolfram
2006
Entropy of the symbolic sequence for critical circle maps. Zbl 1062.37505
Gramss, Tino
1994
Shell model for time-correlated random advection of passive scalars. Zbl 1062.76513
Andersen, K. H.; Muratore-Ginanneschi, P.
1999
Dynamical renormalization group calculation of a two-phase sharp interface model. Zbl 1062.82509
Caginalp, G.
1999
Return probabilities and hitting times of random walks on sparse Erdős-Rényi graphs. Zbl 1263.60005
Martin, O. C.; Šulc, P.
2010
Persistence of a continuous stochastic process with discrete-time sampling: non-Markov processes. Zbl 1244.60035
Ehrhardt, George C. M. A.; Bray, Alan J.; Majumdar Satya N.
2002
Dynamical properties of discrete breathers in curved chains with first and second neighbor interactions. Zbl 1244.82090
Ibañes, Marta; Sancho, José M.; Tsironis, George P.
2002
Quasistatic fractures in brittle media and iterated conformal maps. Zbl 1244.74117
Barra, Felipe; Hentschel, H. George E.; Levermann, Anders; Procaccia, Itamar
2002
Critical structure factors of bilinear fields in $$\mathrm{O}(N)$$ vector models. Zbl 1244.82020
Calabrese, Pasquale; Pelissetto, Andrea; Vicari, Ettore
2002
Remarks about the Tsallis formalism. Zbl 1244.82008
2002
Mode locking of spatiotemporally periodic orbits in coupled sine circle map lattices. Zbl 1244.37044
Pradhan, Gauri R.; Chatterjee, Nandini; Gupte, Neelima
2002
Interaction of $$N$$ solitons in the massive Thirring model and optical gap system: the complex Toda chain model. Zbl 1244.81039
Shchesnovich, V. S.
2002
Pathways of activated escape in periodically modulated systems. Zbl 1244.82067
Ryvkine, D.; Dykman, M. I.
2006
Decoherence, tunneling, and noise-induced activation in a double-potential well at high and zero temperature. Zbl 1244.82042
Antunes, Nuno D.; Lombardo, Fernando C.; Monteoliva Diana; Villar, Paula I.
2006
Nonstationary Pomeau-Manneville intermittency in systems with a periodic parameter change. Zbl 1244.37022
Gac, Jakub M.; Żebrowski, Jan J.
2006
Clustering in randomly driven Hamiltonian systems. Zbl 1244.37047
Makarov, Denis V.; Uleysky, Michael Yu.; Budyansky, M. V.; Prants, S. V.
2006
Harmonic versus subharmonic patterns in a spatially forced oscillating chemical reaction. Zbl 1244.35149
Hammele, Martin; Zimmermann, Walter
2006
Stimulus-locked responses of two phase oscillators coupled with delayed feedback. Zbl 1244.34057
Krachkovskyi, Valerii; Popovych, Oleksandr V.; Tass, Peter A.
2006
Nonlinear Marangoni convection with the inclined temperature gradient in multilayer systems. Zbl 1244.76010
Simanovskii, Ilya B.; Nepomnyashchy, Alexander A.; Shevtsova, Valentina M.; Colinet, Pierre; Legros, Jean-Claude
2006
Optical breathers in nonlinear anisotropic and dispersive media. Zbl 1244.81071
Adamashvili, G. T.; Kaup, David J.
2006
Solving the Fokker-Planck kinetic equation on a lattice. Zbl 1244.82066
Moroni, Daniele; Rotenberg, Benjamin; Hansen, Jean-Pierre; Succi, Sauro; Melchionna, Simone
2006
Absolute test for theories of phase-ordering dynamics. Zbl 0935.82513
Blundell, R. E.; Bray, A. J.; Sattler, S.
1993
Phase-field modeling by the method of lattice Boltzmann equations. Zbl 1263.76053
2010
Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: formulation and mean-field approximation. Zbl 1263.82041
Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L.
2010
Return probabilities and hitting times of random walks on sparse Erdős-Rényi graphs. Zbl 1263.60005
Martin, O. C.; Šulc, P.
2010
Fokker-Planck-type equations for a simple gas and for a semirelativistic Brownian motion from a relativistic kinetic theory. Zbl 1190.82038
Chacón-Acosta, Guillermo; Kremer, Gilberto M.
2007
Estimation of the input parameters in the Feller neuronal model. Zbl 1244.92006
Ditlevsen, Susanne; Lansky, Petr
2006
Huang, Debin
2006
Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network. Zbl 1244.82013
Hinczewski, Michael; Berker, A. Nihat
2006
Solitary and compactlike shear waves in the bulk of solids. Zbl 1244.74069
2006
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I: Overdamped models. Zbl 1244.82036
Chavanis, Pierre-Henri; Sire, Clément
2006
Chaotic observer-based synchronization under information constraints. Zbl 1244.93145
Fradkov, Alexander L.; Andrievsky, Boris; Evans, Robin J.
2006
Fermi acceleration on the annular billiard. Zbl 1244.82039
de Carvalho, R. Egydio; Souza, F. Caetano; Leonel, Edson D.
2006
Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates. Zbl 1244.82043
Li, Lu; Malomed, Boris A.; Mihalache, Dumitru; Liu, W. M.
2006
Antireliability of noise-driven neurons. Zbl 1244.92007
2006
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II: Inertial models. Zbl 1244.82037
Chavanis, Pierre-Henri; Sire, Clément
2006
Loop calculus in statistical physics and information science. Zbl 1244.82058
2006
Frequency of elemental events of intracellular $$\mathrm{Ca}^{2+}$$ dynamics. Zbl 1244.92016
Thul, Rüdiger; Falcke, Martin
2006
Extreme values and fat tails of multifractal fluctuations. Zbl 1244.82026
Muzy, Jean-François; Bacry, Emmanuel; Kozhemyak, A.
2006
High-frequency effects in the FitzHugh-Nagumo neuron model. Zbl 1244.92005
Cubero, David; Baltanás, J. P.; Casado-Pascual, Jesús
2006
Dynamics of vascular branching morphogenesis: the effect of blood and tissue flow. Zbl 1244.76128
Nguyen, Thi-Hanh; Eichmann, Anne; Le Noble, Ferdinand; Fleury, Vincent
2006
Monin-Lundgren hierarchy versus the Hopf equation in the statistical theory of turbulence. Zbl 1244.76016
Hosokawa, Iwao
2006
Minimal model for tumor angiogenesis. Zbl 1244.92032
Kevrekidis, P. G.; Whitaker, N.; Good, D. J.; Herring, G. J.
2006
Explanation of the Gibbs paradox within the framework of quantum thermodynamics. Zbl 1244.82041
Allahverdyan, A. E.; Nieuwenhuizen, Theo M.
2006
Stochastic dynamo model for subcritical transition. Zbl 1244.76118
Fedotov, Sergei; Bashkirtseva, Irina; Ryashko, Lev
2006
Localized activity profiles and storage capacity of rate-based autoassociative networks. Zbl 1244.92027
Roudi, Yasser; Treves, Alessandro
2006
Synchronized flow and wide moving jams from balanced vehicular traffic. Zbl 1244.90060
Siebel, Florian; Mauser, Wolfram
2006
Pathways of activated escape in periodically modulated systems. Zbl 1244.82067
Ryvkine, D.; Dykman, M. I.
2006
Decoherence, tunneling, and noise-induced activation in a double-potential well at high and zero temperature. Zbl 1244.82042
Antunes, Nuno D.; Lombardo, Fernando C.; Monteoliva Diana; Villar, Paula I.
2006
Nonstationary Pomeau-Manneville intermittency in systems with a periodic parameter change. Zbl 1244.37022
Gac, Jakub M.; Żebrowski, Jan J.
2006
Clustering in randomly driven Hamiltonian systems. Zbl 1244.37047
Makarov, Denis V.; Uleysky, Michael Yu.; Budyansky, M. V.; Prants, S. V.
2006
Harmonic versus subharmonic patterns in a spatially forced oscillating chemical reaction. Zbl 1244.35149
Hammele, Martin; Zimmermann, Walter
2006
Stimulus-locked responses of two phase oscillators coupled with delayed feedback. Zbl 1244.34057
Krachkovskyi, Valerii; Popovych, Oleksandr V.; Tass, Peter A.
2006
Nonlinear Marangoni convection with the inclined temperature gradient in multilayer systems. Zbl 1244.76010
Simanovskii, Ilya B.; Nepomnyashchy, Alexander A.; Shevtsova, Valentina M.; Colinet, Pierre; Legros, Jean-Claude
2006
Optical breathers in nonlinear anisotropic and dispersive media. Zbl 1244.81071
Adamashvili, G. T.; Kaup, David J.
2006
Solving the Fokker-Planck kinetic equation on a lattice. Zbl 1244.82066
Moroni, Daniele; Rotenberg, Benjamin; Hansen, Jean-Pierre; Succi, Sauro; Melchionna, Simone
2006
Discrete lattice effects on the forcing term in the lattice Boltzmann method. Zbl 1244.76102
Guo, Zhaoli; Zheng, Chuguang; Shi, Baochang
2002
Stochastic solution of space-time fractional diffusion equations. Zbl 1244.60080
Meerschaert, Mark M.; Benson, David A.; Scheffler, Hans-Peter; Baeumer, Boris
2002
Modeling of spiking-bursting neural behavior using two-dimensional map. Zbl 1244.34077
Rulkov, Nikolai F.
2002
Plasticity and learning in a network of coupled phase oscillators. Zbl 1244.34078
Seliger, Philip; Young, Stephen C.; Tsimring, Lev S.
2002
Continuum approach to discreteness. Zbl 1244.39005
Kevrekidis, P. G.; Kevrekidis, I. G.; Bishop, A. R.; Titi, E. S.
2002
Jets, stickiness, and anomalous transport. Zbl 1244.76014
Leoncini, Xavier; Zaslavsky, George M.
2002
Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons. Zbl 1244.34079
Tiesinga, P. H. E.
2002
Analysis of symbolic sequences using the Jensen-Shannon divergence. Zbl 1245.94057
Grosse, Ivo; Bernaola-Galván, Pedro; Carpena, Pedro; Román-Roldán, Ramón; Oliver, Jose; Stanley, H. Eugene
2002
Scroll waves in isotropic excitable media: linear instabilities, bifurcations, and restabilized states. Zbl 1244.35071
Henry, Hervé; Hakim, Vincent
2002
Newton’s laws of motion in the form of a Riccati equation. Zbl 1244.70008
Nowakowski, Marek; Rosu, Haret C.
2002
Spatiotemporal coherence resonance of phase synchronization in weakly coupled chaotic oscillators. Zbl 1244.34059
Zhou, Changsong; Kurths, Jürgen
2002
Analysis of the $$\infty$$-replica symmetry breaking solution of the Sherrington-Kirkpatrick model. Zbl 1244.82084
Crisanti, Andrea; Rizzo, Tommaso
2002
Numerical study of comparison of vorticity and passive vectors in turbulence and inviscid flows. Zbl 1244.76018
Ohkitani, Koji
2002
Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection. Zbl 1244.76011
Tong, Christopher; Gluhovsky, Alexander
2002
Nonlinear anomalous diffusion equation and fractal dimension: exact generalized Gaussian solution. Zbl 1244.35072
Pedron, I. T.; Mendes, R. S.; Malacarne, L. C.; Lenzi, E. K.
2002
Global quantitative predictions of complex laser dynamics. Zbl 1244.78008
Wieczorek, Sebastian; Simpson, Thomas B.; Krauskopf, Bernd; Lenstra, Daan
2002
Lorenz-like systems and classical dynamical equations with memory forcing: an alternate point of view for singling out the origin of chaos. Zbl 1244.34067
Festa, Roberto; Mazzino, Andrea; Vincenzi, Dario
2002
Lyapunov exponents, noise-induced synchronization, and Parrondo’s paradox. Zbl 1244.34084
Kocarev, Ljupco; Tasev, Zarko
2002
Voronoi tessellation of the packing of fine uniform spheres. Zbl 1244.82086
Yang, R. Y.; Zou, R. P.; Yu, A. B.
2002
Singular self-preserving regimes of coagulation processes. Zbl 1244.82049
Lushnikov, A. A.; Kulmala, M.
2002
Bailout embeddings, targeting of invariant tori, and the control of Hamiltonian chaos. Zbl 1244.93068
Cartwright, Julyan H. E.; Magnasco, Marcelo O.; Piro, Oreste
2002
Quantum decoherence, Zeno process, and time symmetry breaking. Zbl 1244.81037
Petrosky, Tomio Y; Barsegov, Valeri
2002
Multifractal structure of the harmonic measure of diffusion-limited aggregates. Zbl 1244.28011
Jensen, Mogens H.; Levermann, Anders; Mathiesen, Joachim; Procaccia, Itamar
2002
Average entropy of a subsystem from its average Tsallis entropy. Zbl 1244.82005
Malacarne, L. C.; Mendes, R. S.; Lenzi, E. K.
2002
Skew-orthogonal polynomials and random-matrix ensembles. Zbl 1244.81027
Ghosh, Saugata; Pandey, Akhilesh
2002
Off-equilibrium response function in the one-dimensional random-field Ising model. Zbl 1244.82072
Corberi, Federico; de Candia, Antonio; Lippiello, Eugenio; Zannetti, Marco
2002
Iterated conformal dynamics and Laplacian growth. Zbl 1244.28009
Barra, Felipe; Davidovitch, Benny; Procaccia, Itamar
2002
Spectral properties of quantized barrier billiards. Zbl 1244.81028
Wiersig, Jan
2002
Persistence of a continuous stochastic process with discrete-time sampling: non-Markov processes. Zbl 1244.60035
Ehrhardt, George C. M. A.; Bray, Alan J.; Majumdar Satya N.
2002
Dynamical properties of discrete breathers in curved chains with first and second neighbor interactions. Zbl 1244.82090
Ibañes, Marta; Sancho, José M.; Tsironis, George P.
2002
Quasistatic fractures in brittle media and iterated conformal maps. Zbl 1244.74117
Barra, Felipe; Hentschel, H. George E.; Levermann, Anders; Procaccia, Itamar
2002
Critical structure factors of bilinear fields in $$\mathrm{O}(N)$$ vector models. Zbl 1244.82020
Calabrese, Pasquale; Pelissetto, Andrea; Vicari, Ettore
2002
Remarks about the Tsallis formalism. Zbl 1244.82008
2002
Mode locking of spatiotemporally periodic orbits in coupled sine circle map lattices. Zbl 1244.37044
Pradhan, Gauri R.; Chatterjee, Nandini; Gupte, Neelima
2002
Interaction of $$N$$ solitons in the massive Thirring model and optical gap system: the complex Toda chain model. Zbl 1244.81039
Shchesnovich, V. S.
2002
Effect of viscosity in the dynamics of two point vortices: exact results. Zbl 1256.76021
Agullo, Olivier; Verga, Alberto
2000
Phase synchronization in the forced Lorenz system. Zbl 1062.37502
Park, Eun-Hyoung; Zaks, Michael A.; Kurths, Jürgen
1999
Spreading and shortest paths in systems with sparse long-range connections. Zbl 1062.82507
Moukarzel, Cristian F.
1999
Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field. Zbl 1062.76512
Antonov, N. V.
1999
Computation of the Lyapunov spectrum for continuous-time dynamical systems and discrete maps. Zbl 1062.37510
Janaki, T. M.; Rangarajan, Govindan; Habib, Salman; Ryne, Robert D.
1999
Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory. Zbl 1062.82506
Spohn, Herbert
1999
Purity and decoherence in the theory of a damped harmonic oscillator. Zbl 1062.82505
Isar, A.; Sandulescu, A.; Scheid, W.
1999
Effective action for stochastic partial differential equations. Zbl 1062.82512
Hochberg, David; Molina-París, Carmen; Pérez-Mercader, Juan; Visser, Matt
1999
Controlling Hamiltonian chaos via Gaussian curvature. Zbl 1062.37509
Oloumi, Atta; Teychenné, Denis
1999
Decay of unstable equilibrium and nonequilibrium states with inverse probability current taken into account. Zbl 1062.82503
Agudov, N. V.; Malakhov, A. N.
1999
Exactly solvable two-way traffic model with ordered sequential update. Zbl 1062.82510
1999
Shell model for time-correlated random advection of passive scalars. Zbl 1062.76513
Andersen, K. H.; Muratore-Ginanneschi, P.
1999
Dynamical renormalization group calculation of a two-phase sharp interface model. Zbl 1062.82509
Caginalp, G.
1999
Quantitative phase-field modeling of dendritic growth in two and three dimensions. Zbl 1086.82558
Karma, Alain; Rappel, Wouter-Jan
1998
Unification of one-dimensional Fokker-Planck equations beyond hypergeometrics: Factorizer solution method and eigenvalue schemes. Zbl 0914.60091
Debosscher, A.
1998
Phase separation in incompressible systems. Zbl 1110.82304
E, Weinan; Palffy-Muhoray, P.
1997
Pattern formation in the presence of symmetries. Zbl 1062.76511
Gunaratne, Gemunu H.; Ouyang, Qi; Swinney, Harry L.
1994
Growth laws for phase ordering. Zbl 0935.82571
Bray, A. J.; Rutenberg, A. D.
1994
Analogies between scaling in turbulence, field theory, and critical phenomena. Zbl 0923.76067
Eyink, Gregory; Goldenfeld, Nigel
1994
Renormalization group theory and variational calculations for propagating fronts. Zbl 0925.35127
Chen, Lin-Yuan; Goldenfeld, Nigel; Oono, Y.
1994
Phase-ordering kinetics of one-dimensional nonconserved scalar systems. Zbl 0935.82572
Rutenberg, A. D.; Bray, A. J.
1994
Chaotic instabilities in smectic-$$C$$ liquid crystals. Zbl 0974.82510
Stewart, I. W.; Carlsson, T.; Leslie, F. M.
1994
Non-Markovian noise. Zbl 1062.82511
Fuliński, A.
1994
Formulating a first-principles statistical theory of growing surfaces in two-dimensional Laplacian fields. Zbl 1062.82508
Blumenfeld, Raphael
1994
Standing localized modes in nonlinear lattices. Zbl 1062.35505
Kivshar, Yuri S.; Haelterman, Marc; Sheppard, Adrian P.
1994
Entropy of the symbolic sequence for critical circle maps. Zbl 1062.37505
Gramss, Tino
1994
Towards a systematic calculation of the scaling functions for the ordering kinetics of nonconserved fields. Zbl 0935.82512
Bray, A. J.; Humayun, K.
1993
Trace formulas for arithmetical systems. Zbl 1119.81325
Bogomolny, E. B.; Georgeot, B.; Giannoni, M.-J.; Schmit, C.
1993
Absolute test for theories of phase-ordering dynamics. Zbl 0935.82513
Blundell, R. E.; Bray, A. J.; Sattler, S.
1993
all top 5

### Cited by 2,213 Authors

 12 Chai, Zhenhua 12 Shi, Baochang 11 Ditlevsen, Susanne 9 Gibou, Frédéric 9 Meerschaert, Mark Marvin 9 Saccomandi, Giuseppe 8 Chew, Yong-Tian 8 Low, Hong-Tong 8 Sui, Yi 7 Chavanis, Pierre-Henri 7 Deng, Bin 7 Krause, Mathias J. 7 Lánský, Petr 7 Liu, Haihu 7 Magdziarz, Marcin 7 Wang, Jiang 7 Wang, Lianping 6 Chertkov, Michael 6 Guo, Zhaoli 6 Peng, Cheng 6 Roy, Partha Pratim 6 Succi, Sauro 6 Xu, Yuanqing 6 Zaslavskiĭ, Georgiĭ Moiseevich 5 Antonov, N. V. 5 Bäumer, Boris 5 Chen, Guanrong 5 Chernyak, Vladimir Y. 5 Ha, Seung-Yeal 5 Kurths, Jürgen 5 Li, Zhe 5 Lučivjanský, Tomas 5 Mainardi, Francesco 5 Nane, Erkan 5 Rüde, Ulrich 5 Shu, Chang 5 Tian, Fangbao 5 Wei, Xile 5 Yang, Xiaofeng 5 Yu, Haitao 5 Zhang, Zhongzhi 4 Ayala, Orlando M. 4 Beckermann, C. 4 Bray, Alan J. 4 Deng, Weihua 4 Du, Rui 4 Fang, Jian’an 4 Favier, Julien 4 Giorgi, Claudio 4 Hnatich, Michal 4 Janßen, Christian F. 4 Karma, Alain 4 Li, Qiaoping 4 Liu, Chen 4 Liu, Sanyang 4 Magnasco, Marcelo O. 4 Nekorkin, Vladimir I. 4 Nepomnyashchy, Alexander A. 4 Niu, Xiaodong 4 Pagnini, Gianni 4 Panfilov, Alexander V. 4 Qi, Dewei 4 Rosso, Osvaldo A. 4 Rubin, Jonathan E. 4 Signerska-Rynkowska, Justyna 4 Silva, Goncalo 4 Trunk, Robin 4 Wu, Tai-Hsien 4 Zhang, Yonghao 3 Aidun, Cyrus K. 3 Andrievskiĭ, Boris Rostislavich 3 Bashkirtseva, Irina Adol’fovna 3 Berti, Alessia 3 Biferale, Luca 3 Cao, Jinde 3 Cartalade, Alain 3 Cartwright, Julyan H. E. 3 Chen, Baiman 3 Chen, Yaoyao 3 Chopard, Bastien 3 Corberi, Federico 3 Courbage, Maurice 3 Destrade, Michel 3 Dierckx, Hans 3 Fakhari, Abbas 3 Fedkiw, Ronald P. 3 Fradkov, Aleksandr L’vovich 3 Gluhovsky, Alexander 3 Goldenfeld, Nigel 3 Golovin, Alexander A. 3 Gorenflo, Rudolf 3 Guan, Jihong 3 Heinrich, Juan C. 3 Henkel, Malte 3 Höpfner, Reinhard 3 Hou, Guoxiang 3 Huang, Haibo 3 Huang, Yunqing 3 Iqbal, Naveed H. 3 Kengne, Emmanuel ...and 2,113 more Authors
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### Cited in 220 Journals

 87 Journal of Computational Physics 70 Computers and Fluids 57 Chaos 55 Computers & Mathematics with Applications 35 Journal of Statistical Physics 32 Physica D 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 25 Chaos, Solitons and Fractals 24 Communications in Nonlinear Science and Numerical Simulation 20 Journal of Statistical Mechanics: Theory and Experiment 19 Journal of Mathematical Physics 19 Physica A 19 Nonlinear Dynamics 18 Journal of Fluid Mechanics 17 International Journal of Modern Physics B 15 Applied Mathematics and Computation 13 Mathematical Problems in Engineering 13 International Journal of Modern Physics C 12 Physics of Fluids 11 Biological Cybernetics 11 Applied Mathematical Modelling 10 Theoretical and Mathematical Physics 10 Physical Review E. Third Series 10 Journal of Theoretical Biology 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Computational and Applied Mathematics 9 Neural Computation 9 Fractional Calculus & Applied Analysis 9 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Communications in Mathematical Physics 7 International Journal for Numerical Methods in Fluids 7 Journal of Mathematical Analysis and Applications 7 Journal of Scientific Computing 7 Continuum Mechanics and Thermodynamics 7 Discrete Dynamics in Nature and Society 7 The European Physical Journal B. Condensed Matter and Complex Systems 6 International Journal of Theoretical Physics 6 Physics Reports 6 Mathematics and Computers in Simulation 5 International Journal of Heat and Mass Transfer 5 Bulletin of Mathematical Biology 5 Journal of Differential Equations 5 Proceedings of the American Mathematical Society 5 Fractals 5 Abstract and Applied Analysis 5 European Journal of Mechanics. B. Fluids 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 SIAM Journal on Applied Dynamical Systems 5 Acta Mechanica Sinica 5 Advances in Mathematical Physics 4 Modern Physics Letters B 4 Journal of the Mechanics and Physics of Solids 4 Physics Letters. A 4 Reviews of Modern Physics 4 Wave Motion 4 Journal of Nonlinear Science 4 Journal of Computational Neuroscience 4 Journal of High Energy Physics 4 Mathematical Biosciences and Engineering 4 The Journal of Mathematical Neuroscience 3 Archive for Rational Mechanics and Analysis 3 Computer Physics Communications 3 Mathematical Biosciences 3 The Annals of Probability 3 International Journal for Numerical Methods in Engineering 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Statistics & Probability Letters 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Automation and Remote Control 3 Stochastic Processes and their Applications 3 Journal of Mathematical Sciences (New York) 3 Mathematics and Mechanics of Solids 3 Computational Geosciences 3 Computational & Mathematical Methods in Medicine 3 Journal of Physics A: Mathematical and Theoretical 3 Advances in Applied Mathematics and Mechanics 2 Modern Physics Letters A 2 Advances in Applied Probability 2 Applicable Analysis 2 International Journal of Engineering Science 2 International Journal of Systems Science 2 Nonlinearity 2 Nuclear Physics. B 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Automatica 2 Journal of Applied Probability 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Neural Networks 2 The Annals of Applied Probability 2 Journal of Non-Newtonian Fluid Mechanics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Advances in Computational Mathematics 2 Integral Transforms and Special Functions 2 Complexity 2 Engineering Analysis with Boundary Elements ...and 120 more Journals
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### Cited in 43 Fields

 371 Fluid mechanics (76-XX) 190 Biology and other natural sciences (92-XX) 189 Partial differential equations (35-XX) 189 Statistical mechanics, structure of matter (82-XX) 163 Numerical analysis (65-XX) 145 Dynamical systems and ergodic theory (37-XX) 120 Probability theory and stochastic processes (60-XX) 104 Ordinary differential equations (34-XX) 87 Mechanics of deformable solids (74-XX) 71 Classical thermodynamics, heat transfer (80-XX) 57 Systems theory; control (93-XX) 40 Quantum theory (81-XX) 29 Real functions (26-XX) 29 Statistics (62-XX) 28 Mechanics of particles and systems (70-XX) 23 Information and communication theory, circuits (94-XX) 20 Combinatorics (05-XX) 19 Computer science (68-XX) 18 Optics, electromagnetic theory (78-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Difference and functional equations (39-XX) 12 Geophysics (86-XX) 11 Special functions (33-XX) 11 Integral equations (45-XX) 8 Operator theory (47-XX) 8 Relativity and gravitational theory (83-XX) 7 Operations research, mathematical programming (90-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Nonassociative rings and algebras (17-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX)