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Velarde, Manuel G.

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Author ID: velarde.manuel-g Recent zbMATH articles by "Velarde, Manuel G."
Published as: Velarde, M.; Velarde, M. G.; Velarde, Manuel G.; Velárde, Manuel G.
External Links: MGP · Wikidata · ORCID · GND
Documents Indexed: 128 Publications since 1972, including 8 Books
all top 5

Co-Authors

10 single-authored
9 Ebeling, Werner
9 Nekorkin, Vladimir I.
7 Christov, Christo Ivanov
7 Makarov, Valeri A.
6 Chetverikov, Aleksandr Petrovich
6 Del Rio, Ezequiel
6 Rednikov, Alexei Ye.
6 Rodriguez-Lozano, Angel
6 Ryazantsev, Yuri S.
5 Kalliadasis, Serafim
5 Nepomnyashchy, Alexander A.
4 Birikh, R. V.
4 Briskman, V. A.
4 Kazantsev, Victor B.
4 Ruyer-Quil, Christian
4 Zeytounian, Radyadour Kh.
3 Bonilla, Luis Lopez
3 Bragard, Jean
3 Colinet, Pierre
3 Huang, Guoxiang
3 Pontes, José Pedro
3 Porubov, Alexey V.
3 Rulkov, Nikolai F.
3 Scheid, Benoit
3 Smorodin, Boris L.
3 Starov, Victor M.
3 Trulsen, Karsten
2 Argentina, Médéric
2 Castellanos, Alejandro
2 Castillo, Jose Luis
2 Cherepanov, Anatoly A.
2 Chu, Xiaolin
2 Cisneros-Ake, Luis A.
2 Demekhin, Evgeny A.
2 Fairén, Víctor
2 Garazo, Alfredo N.
2 Garcia-Ybarra, Pedro L.
2 Gershuni, G. Z.
2 Goyeau, Benoit
2 Hennig, Dirk
2 Kurdyumov, Vadim N.
2 Legros, Jean-Claude
2 Porubov, Alexei V.
2 Ross, John D.
2 Rubio, Ramon G.
2 Rudakov, R. N.
2 Sanfeld, Albert
2 Shkadov, Victor Ya.
2 Shkadova, V. P.
2 Song, Yongli
2 Volkovskij, Alexander R.
2 Zimmerman, William B. J.
1 Agogo, H.
1 Antoranz, J. C.
1 Arena, Paolo
1 Artiz-Cohen, J. A.
1 Astakhova, Tatyana Yu.
1 Atten, Pierre
1 Cedillo, G.
1 Crespo, Enric
1 Cruse, Holk
1 Cruzeiro, Leonor
1 de la Rubia, F. Javier
1 Derzho, Oleg G.
1 Dysthe, Kristian Barstad
1 Fernandez-Barbero, Antonio
1 Fortuna, Luigi
1 Giaquinta, Antonio
1 Gobin, Dominique
1 Gudmestad, Ove Tobias
1 Guzmán, Eduardo
1 Hennenberg, Marcel
1 Hübner, David
1 Kliakhandler, Igor L.
1 Lhuillier, Daniel
1 Likhachev, V. N.
1 Linde, Helmut
1 Litvinchev, Igor S.
1 Liu, Quansheng
1 Llinás, Rodolfo R.
1 Lombardo, Davide M.
1 Lou, Senyue
1 Makarenko, Vladimir I.
1 Maksimov, Andrey G.
1 Minzoni, Antonmaria Alessio
1 Neißner, Christian
1 Ortega, Francisco R.
1 Patanè, Luca
1 Pismen, Leonid M.
1 Plaza, Francisco
1 Radke, Clayton J.
1 Rednikov, A. E.
1 Ridha, Abbas Abdul
1 Roux, Bernard H.
1 Rubinstein, Boris Y.
1 Rudzick, Oliver
1 Schechter, R. S.
1 Semenov, Serguei Y.
1 Stansberg, Carl Trygve
1 Thiele, Uwe
...and 8 more Co-Authors
all top 5

Serials

18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Physics of Fluids
7 International Journal of Heat and Mass Transfer
7 Journal of Fluid Mechanics
6 Physics of Fluids
6 Journal of Non-Equilibrium Thermodynamics
5 Journal of Mathematical Physics
5 Wave Motion
4 Physica D
3 Biological Cybernetics
3 Fluid Dynamics
3 Chaos, Solitons and Fractals
2 Physics of Fluids, A
2 Physics-Doklady
2 Chaos
2 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Mathematical Biology
1 Journal of Sound and Vibration
1 Journal of Statistical Physics
1 Reports on Mathematical Physics
1 International Journal of Circuit Theory and Applications
1 Journal of Computational and Applied Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Studies in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Neural Networks
1 Applied Mathematical Modelling
1 Journal of Computer and Systems Sciences International
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Applied Mathematical Sciences
1 CISM International Centre for Mechanical Sciences. Courses and Lectures
1 Springer Series in Synergetics
1 World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Mathematical Modelling of Natural Phenomena

Publications by Year

Citations contained in zbMATH

92 Publications have been cited 802 times in 598 Documents Cited by Year
Falling liquid films. Zbl 1231.76001
Kalliadasis, S.; Ruyer-Quil, C.; Scheid, B.; Velarde, M. G.
73
2012
Momentum transport at a fluid-porous interface. Zbl 1065.76606
Goyeau, B.; Lhuillier, D.; Gobin, D.; Velarde, M. G.
45
2003
On weakly nonlinear modulation of waves on deep water. Zbl 1184.76558
Trulsen, Karsten; Kliakhandler, Igor; Dysthe, Kristian B.; Velarde, Manuel G.
39
2000
Dissipative solitons. Zbl 0885.35108
Christov, C. I.; Velarde, M. G.
36
1995
Interfacial phenomena and convection. Zbl 0988.76004
Nepomnyashchy, Alexander A.; Velarde, Manuel G.; Colinet, Pierre
31
2002
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. Zbl 1080.34064
Wei, J. J.; Velarde, M. G.
30
2004
Thermocapillary instability and wave formation on a film falling down a uniformly heated plane. Zbl 1063.76030
Kalliadasis, S.; Demekhin, E. A.; Ruyer-Quil, C.; Velarde, M. G.
30
2003
Synergetic phenomena in active lattices. Patterns, waves, solitons, chaos. Zbl 1006.37002
Nekorkin, V. I.; Velarde, Manuel G.
26
2002
Nonlinear dynamics of surface-tension-driven instabilities. With a foreword by I. Prigogine. Zbl 1013.76003
Colinet, P.; Legros, J. C.; Velarde, M. G.
26
2001
Dissipative Korteweg-de Vries description of Marangoni-Bénard oscillatory convection. Zbl 0745.76077
Garazo, Alfredo N.; Velarde, Manuel G.
26
1991
Inelastic interaction of Boussinesq solitons. Zbl 0899.76089
Christov, C. I.; Velarde, M. G.
20
1994
A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers. Zbl 0826.76020
Nepomnyashchy, Alexander A.; Velarde, Manuel G.
19
1994
Thermocapillary long waves in a liquid film flow. II: Linear stability and nonlinear waves. Zbl 1080.76010
Scheid, B.; Ruyer-Quil, C.; Kalliadasis, S.; Velarde, M. G.; Zeytounian, R. Kh.
18
2005
Thermocapillary long waves in a liquid film flow. I: Low-dimensional formulation. Zbl 1080.76009
Ruyer-Quil, C.; Scheid, B.; Kalliadasis, S.; Velarde, M. G.; Zeytounian, R. Kh.
18
2005
Bénard-Marangoni convection with a deformable interface and poorly conducting boundaries. Zbl 0634.76050
Garcia-Ybarra, P. L.; Castillo, J. L.; Velarde, M. G.
16
1987
Implicit time splitting for fourth-order parabolic equations. Zbl 0923.76151
Christov, C. I.; Pontes, J.; Walgraef, D.; Velarde, M. G.
15
1997
Solitary waves, soliton bound states and chaos in a dissipative Korteweg-de Vries equation. Zbl 0878.76014
Nekorkin, Vladimir I.; Velarde, Manuel G.
15
1994
Mutual synchronization of chaotic self-oscillators with dissipative coupling. Zbl 0875.94137
Rul’kov, N. F.; Volkovskij, A. R.; Rodríguez-Lozano, Angel; Del Río, Ezequiel; Velarde, Manuel G.
15
1992
Wetting and spreading dynamics. Zbl 1184.76002
Starov, Victor M.; Velarde, Manuel G.; Radke, Clayton J.
14
2007
Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks. Zbl 1342.92023
Song, Yongli; Makarov, Valeri A.; Velarde, Manuel G.
13
2009
Exact periodic solutions of the complex Ginzburg-Landau equation. Zbl 0943.35087
Porubov, A. V.; Velarde, M. G.
12
1999
Stability analysis of thin film flow along a heated porous wall. Zbl 1183.76517
Thiele, Uwe; Goyeau, Benoît; Velarde, Manuel G.
11
2009
Suppressing falling film instabilities by Marangoni forces. Zbl 1185.76604
Demekhin, Evgeny A.; Kalliadasis, Serafim; Velarde, Manuel G.
11
2006
Spatial disorder and pattern formation in lattices of coupled bistable elements. Zbl 0888.35050
Nekorkin, V. I.; Makarov, V. A.; Kazantsev, V. B.; Velarde, M. G.
11
1997
Dispersive-dissipative solitons in nonlinear solids. Zbl 1074.74587
Porubov, A. V.; Velarde, M. G.
10
2000
Further results on the evolution of solitary waves and their bound states of a dissipative Korteweg-de Vries equation. Zbl 0888.35099
Velarde, Manuel G.; Nekorkin, Vladimir I.; Maksimov, Andrey G.
10
1995
Long time data series and difficulties with the characterization of chaotic attractors: A case with intermittency III. Zbl 0817.34022
Del Rio, Ezequiel; Velarde, Manuel G.; Rodriguez-Lozano, Angel
10
1994
Thermocapillary convection in two-layer systems. Zbl 0948.76615
Liu, Q. S.; Roux, B.; Velarde, M. G.
9
1998
Bénard-Marangoni convection: Planforms and related theoretical predictions. Zbl 0927.76030
Bragard, J.; Velarde, M. G.
8
1998
On localization solutions of an equation governing Benard–Marangoni convection. Zbl 0785.76077
Christov, Christo I.; Velarde, Manuel G.
8
1993
Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above. Zbl 0509.76047
Castillo, J. L.; Velarde, M. G.
8
1982
Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law. Zbl 0455.35107
Bonilla, L. L.; Velarde, M. G.
8
1979
Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation. Zbl 0840.35093
Rednikov, A. E.; Velarde, M. G.; Ryazantsev, Yu. S.; Nepomnyashchy, A. A.; Kurdyumov, V. N.
7
1995
On the possibility of electric conduction mediated by dissipative solitons. Zbl 1140.82320
Velarde, Manuel G.; Ebeling, Werner; Chetverikov, Alexander P.
6
2005
Strain kinks in an elastic rod embedded in a viscoelastic medium. Zbl 1163.74425
Porubov, A. V.; Velarde, M. G.
6
2002
Oscillatory Marangoni-Bénard interfacial instability and capillary- gravity waves in single- and two-component liquid layers with or without Soret thermal diffusion. Zbl 0629.76049
Garcia-Ybarra, P. L.; Velarde, M. G.
6
1987
Oscillatory and steady convection in dielectric liquid layers subjected to unipolar injection and temperature gradient. Zbl 0552.76088
Castellanos, A.; Atten, P.; Velarde, M. G.
6
1984
Dissipative solitons and complex currents in active lattices. Zbl 1118.35346
Chetverikov, A. P.; Ebeling, W.; Velarde, M. G.
5
2006
Laboratory evidence of three-dimensional frequency downshift of waves in a long tank. Zbl 1147.76520
Trulsen, Karsten; Stansberg, Carl Trygve; Velarde, Manuel G.
5
1999
Time-periodic oscillations in a model for the respiratory process of a bacterial culture. Zbl 0417.92003
Fairen, V.; Velarde, M. G.
5
1979
Elements for a general memory structure: properties of recurrent neural networks used to form situation models. Zbl 1145.92305
Makarov, Valeri A.; Song, Yongli; Velarde, Manuel G.; Hübner, David; Cruse, Holk
4
2008
A simple generalized excitability model mimicking salient features of neuron dynamics. Zbl 0965.92012
Giaquinta, A.; Argentina, M.; Velarde, M. G.
4
2000
Influence of a surfactant on the instability of a falling liquid film. Zbl 0998.76026
Velarde, M. G.; Shkadov, V. Ya.; Shkadova, V. P.
4
2000
Drops, liquid layers and the Marangoni effect. Zbl 0915.76031
Velarde, Manuel G.
4
1998
Spatial disorder and waves in a ring chain of bistable oscillators. Zbl 0900.70292
Nekorkin, Vladimir I.; Makarov, Valeri A.; Velarde, Manuel G.
4
1996
Travelling waves in a circular array of Chua’s circuits. Zbl 0874.34042
Nekorkin, Vladimir I.; Kazantsev, Victor B.; Velarde, Manuel G.
4
1996
Drop motion with surfactant transfer in a homogeneous surrounding. Zbl 0846.76096
Rednikov, Alexei Ye.; Ryazantsev, Yuri S.; Velarde, Manuel G.
4
1994
Electrohydrodynamic stability in the presence of a thermal gradient. Zbl 0476.76049
Castellanos, A.; Velarde, M. G.
4
1981
Compact internal representation of dynamic situations: neural network implementing the causality principle. Zbl 1266.92046
Villacorta-Atienza, José Antonio; Velarde, Manuel G.; Makarov, Valeri A.
3
2010
From polaron to solectron: the addition of nonlinear elasticity to quantum mechanics and its possible effect upon electric transport. Zbl 1422.82013
Velarde, Manuel G.
3
2010
On soliton-mediated fast electric conduction in a nonlinear lattice with Morse interactions. Zbl 1115.78304
Velarde, Manuel G.; Ebeling, Werner; Hennig, Dirk; Neißner, Christian
3
2006
Rayleigh-Marangoni oscillatory instability in a horizontal liquid layer heated from above: Coupling and mode mixing of internal and surface dilational waves. Zbl 0972.76035
Rednikov, A. Ye.; Colinet, P.; Velarde, M. G.; Legros, J. C.
3
2000
Bénard convection flows. Zbl 0892.76025
Bragard, J.; Velarde, M. G.
3
1997
On automated derivation of amplitude equations in nonlinear bifurcation problems. Zbl 1298.35180
Pismen, Leonid M.; Rubinstein, Boris Y.; Velarde, Manuel G.
3
1996
Solitary waves of permanent form in a deep fluid with weak shear. Zbl 1023.76505
Derzho, Oleg G.; Velarde, Manuel G.
3
1995
Note on the stability of limit cycles of an asymmetric (Helmholtz-Thompson) nonlinear oscillator. Zbl 0925.70220
del Rio, Ezequiel; Rodriguez-Lozano, Angel; Velarde, Manuel G.
3
1994
Experimental evidence for synchronous behavior of chaotic nonlinear oscillators with unidirectional or mutual driving. Zbl 0900.70275
Del Río, Ezequiel; Velarde, Manuel G.; Rodríguez-Lozano, Angel; Rul’kov, Nikolai F.; Volkovskii, Alexander R.
3
1994
Active drops and drop motions due to nonequilibrium phenomena. Zbl 0803.76031
Rednikov, Alexei Ye.; Ryazantsev, Yuri S.; Velarde, Manuel G.
3
1994
Synchronous chaotic behaviour of a response oscillator with chaotic driving. Zbl 0795.34027
Rul’kov, Nikolai F.; Volkovskij, Alexander R.; Rodriguez-Lozano, Angel; Del Rio, Ezequiel; Velarde, Manuel G.
3
1994
Internal solitary waves. Zbl 0744.76032
Weidman, P. D.; Velarde, M. G.
3
1992
Thermal diffusion and convective stability: The role of uniform rotation of the container. Zbl 0398.76034
Antoranz, J. C.; Velarde, M. G.
3
1979
Localized nonlinear, soliton-like waves in two-dimensional anharmonic lattices. Zbl 1365.82025
Chetverikov, Alexander P.; Ebeling, Werner; Velarde, Manuel G.
2
2011
Surface forces and wetting features in drops and capillaries. Zbl 1296.76021
Velarde, M. G.; Starov, V. M.
2
2010
Electron trapping by solitons. Classical versus quantum mechanical approach. Zbl 1144.81456
Velarde, Manuel G.; Ebeling, Werner; Chetverikov, Alexander P.; Hennig, Dirk
2
2008
On the back-firing instability. Zbl 1080.76030
Argentina, M.; Rudzick, O.; Velarde, M. G.
2
2004
Ilya Prigogine and the classical thermodynamics of irreversible processes. Zbl 1170.80301
Sanfeld, Albert; Velarde, Manuel G.
2
2004
Synchronization in two-layer bistable coupled map lattices. Zbl 1082.37510
Nekorkin, V. I.; Kazantsev, V. B.; Velarde, M. G.
2
2001
On the parametric excitation of thermoelectric instability in a liquid layer open to air. Zbl 0969.76032
Smorodin, B. L.; Gershuni, G. Z.; Velarde, M. G.
2
1999
Numerical study of patterns and their evolution in finite geometries. Zbl 0884.76024
Pontes, J.; Christov, C. I.; Velarde, M. G.
2
1996
The role of time-varying gravity on the motion of a drop induced by Marangoni instability. Zbl 1026.76519
Rednikov, Alexei Ye.; Kurdyumov, Vadim N.; Ryazantsev, Yuri S.; Velarde, Manuel G.
2
1995
Melnikov’s criterion and its experimental test using a nonlinear oscillator. Zbl 0794.34029
Del Rio, Ezequiel; Rodriguez-Lozano, Angel; Velarde, Manuel G.
2
1994
On dynamic excitation of Marangoni instability. Zbl 0762.76032
Gershuni, G. Z.; Nepomnyashchy, A. A.; Velarde, M. G.
2
1992
Dissipative structures in a nonlinear reaction-diffusion model with forward inhibition. Stability of secondary multiple steady states. Zbl 0449.35057
Fairen, V.; Velarde, M. G.
2
1979
Thermal diffusion and convective stability. II: An analysis of the convected fluxes. Zbl 0246.76039
Velarde, M. G.; Schechter, R. S.
2
1972
Evaporation of sessile water droplets in presence of contact angle hysteresis. Zbl 1247.76025
Semenov, S.; Starov, V. M.; Rubio, R. G.; Agogo, H.; Velarde, M. G.
1
2012
Anharmonicity and soliton-mediated electric transport. Is a kind of superconduction possible at room temperature? Zbl 1221.82153
Velarde, M. G.; Ebeling, W.; Chetverikov, A P.
1
2010
Solitons in viscous flows. Zbl 1218.76022
Velarde, M. G.; Nepomnyashchy, A. A.
1
2008
Analogies between colored Lévy noise and random channel approach to disordered kinetics. Zbl 1070.82024
Vlad, Marcel O.; Velarde, Manuel G.; Ross, John
1
2004
Clustering behavior in a three-layer system mimicking olivo-cerebellar dynamics. Zbl 1044.92020
Velarde, Manuel G.; Nekorkin, Vladimir I.; Makarov, Valeri A.; Makarenko, Vladimir I.; Llinás, Rodolfo R.
1
2004
Interfacial phenomena and the Marangoni effect. Papers from a summer course, Udine, Italy, July, 2000. Zbl 1030.00038
Velarde, Manuel G. (ed.); Zeytounian, Radyadour Kh. (ed.)
1
2002
Dissipative effects on the evolution of internal solitary waves in a sheared, stably stratified fluid layer. Zbl 0995.76017
Zimmerman, William B.; Velarde, Manuel G.
1
2002
The nonlinear Schrödinger method for water wave kinematics on finite depth. Zbl 1074.86508
Trulsen, Karsten; Gudmestad, Ove Tobias; Velarde, Manuel G.
1
2001
On nonlinear waves in an elastic solid. Zbl 0986.74045
Porubov, Alexei V.; Velarde, Manuel G.
1
2000
Strong dispersive effects on internal nonlinear waves in a sheared, stably stratified fluid layer. Zbl 1074.76532
Zimmerman, William B.; Velarde, Manuel G.
1
1999
The influence of the thermocapillary effect on the parametric excitation of waves. Zbl 0927.76039
Birikh, R. V.; Briskman, V. A.; Velarde, M. G.; Cherepanov, A. A.
1
1997
Pulses, fronts and chaotic wave trains in a one-dimensional Chua’s lattice. Zbl 0907.58045
Kazantsev, V. B.; Nekorkin, V. I.; Velarde, M. G.
1
1997
Patterns, defects, and evolution of Bénard-Marangoni cells. Zbl 0881.76036
Bragard, J.; Pontes, J.; Velarde, M. G.
1
1996
Marangoni-Bénard instability of a floating liquid layer with an internal, permeable, heated or cooled divider and two deformable open surfaces. Zbl 0922.76184
Birikh, R. V.; Briskman, V. A.; Rudakov, R. N.; Velarde, M. G.
1
1995
Drop motion with surfactant transfer in an inhomogeneous medium. Zbl 0900.76729
Rednikov, Alexei Ye.; Ryazantsev, Yuri S.; Velárde, Manuel G.
1
1994
Marangoni-Bénard convective instability driven by a heated divider. Zbl 0797.76030
Birikh, R. V.; Briskman, V. A.; Rudakov, R. N.; Velarde, M. G.
1
1994
Transverse and longitudinal waves at an air-liquid interface in the presence of an adsorption barrier. Zbl 0879.76113
Hennenberg, M.; Chu, X. L.; Velarde, M. G.; Sanfeld, A.
1
1993
Hydrodynamic instabilities (in isotropic fluids). Zbl 0369.76042
Velarde, Manuel G.
1
1977
Falling liquid films. Zbl 1231.76001
Kalliadasis, S.; Ruyer-Quil, C.; Scheid, B.; Velarde, M. G.
73
2012
Evaporation of sessile water droplets in presence of contact angle hysteresis. Zbl 1247.76025
Semenov, S.; Starov, V. M.; Rubio, R. G.; Agogo, H.; Velarde, M. G.
1
2012
Localized nonlinear, soliton-like waves in two-dimensional anharmonic lattices. Zbl 1365.82025
Chetverikov, Alexander P.; Ebeling, Werner; Velarde, Manuel G.
2
2011
Compact internal representation of dynamic situations: neural network implementing the causality principle. Zbl 1266.92046
Villacorta-Atienza, José Antonio; Velarde, Manuel G.; Makarov, Valeri A.
3
2010
From polaron to solectron: the addition of nonlinear elasticity to quantum mechanics and its possible effect upon electric transport. Zbl 1422.82013
Velarde, Manuel G.
3
2010
Surface forces and wetting features in drops and capillaries. Zbl 1296.76021
Velarde, M. G.; Starov, V. M.
2
2010
Anharmonicity and soliton-mediated electric transport. Is a kind of superconduction possible at room temperature? Zbl 1221.82153
Velarde, M. G.; Ebeling, W.; Chetverikov, A P.
1
2010
Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks. Zbl 1342.92023
Song, Yongli; Makarov, Valeri A.; Velarde, Manuel G.
13
2009
Stability analysis of thin film flow along a heated porous wall. Zbl 1183.76517
Thiele, Uwe; Goyeau, Benoît; Velarde, Manuel G.
11
2009
Elements for a general memory structure: properties of recurrent neural networks used to form situation models. Zbl 1145.92305
Makarov, Valeri A.; Song, Yongli; Velarde, Manuel G.; Hübner, David; Cruse, Holk
4
2008
Electron trapping by solitons. Classical versus quantum mechanical approach. Zbl 1144.81456
Velarde, Manuel G.; Ebeling, Werner; Chetverikov, Alexander P.; Hennig, Dirk
2
2008
Solitons in viscous flows. Zbl 1218.76022
Velarde, M. G.; Nepomnyashchy, A. A.
1
2008
Wetting and spreading dynamics. Zbl 1184.76002
Starov, Victor M.; Velarde, Manuel G.; Radke, Clayton J.
14
2007
Suppressing falling film instabilities by Marangoni forces. Zbl 1185.76604
Demekhin, Evgeny A.; Kalliadasis, Serafim; Velarde, Manuel G.
11
2006
Dissipative solitons and complex currents in active lattices. Zbl 1118.35346
Chetverikov, A. P.; Ebeling, W.; Velarde, M. G.
5
2006
On soliton-mediated fast electric conduction in a nonlinear lattice with Morse interactions. Zbl 1115.78304
Velarde, Manuel G.; Ebeling, Werner; Hennig, Dirk; Neißner, Christian
3
2006
Thermocapillary long waves in a liquid film flow. II: Linear stability and nonlinear waves. Zbl 1080.76010
Scheid, B.; Ruyer-Quil, C.; Kalliadasis, S.; Velarde, M. G.; Zeytounian, R. Kh.
18
2005
Thermocapillary long waves in a liquid film flow. I: Low-dimensional formulation. Zbl 1080.76009
Ruyer-Quil, C.; Scheid, B.; Kalliadasis, S.; Velarde, M. G.; Zeytounian, R. Kh.
18
2005
On the possibility of electric conduction mediated by dissipative solitons. Zbl 1140.82320
Velarde, Manuel G.; Ebeling, Werner; Chetverikov, Alexander P.
6
2005
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. Zbl 1080.34064
Wei, J. J.; Velarde, M. G.
30
2004
On the back-firing instability. Zbl 1080.76030
Argentina, M.; Rudzick, O.; Velarde, M. G.
2
2004
Ilya Prigogine and the classical thermodynamics of irreversible processes. Zbl 1170.80301
Sanfeld, Albert; Velarde, Manuel G.
2
2004
Analogies between colored Lévy noise and random channel approach to disordered kinetics. Zbl 1070.82024
Vlad, Marcel O.; Velarde, Manuel G.; Ross, John
1
2004
Clustering behavior in a three-layer system mimicking olivo-cerebellar dynamics. Zbl 1044.92020
Velarde, Manuel G.; Nekorkin, Vladimir I.; Makarov, Valeri A.; Makarenko, Vladimir I.; Llinás, Rodolfo R.
1
2004
Momentum transport at a fluid-porous interface. Zbl 1065.76606
Goyeau, B.; Lhuillier, D.; Gobin, D.; Velarde, M. G.
45
2003
Thermocapillary instability and wave formation on a film falling down a uniformly heated plane. Zbl 1063.76030
Kalliadasis, S.; Demekhin, E. A.; Ruyer-Quil, C.; Velarde, M. G.
30
2003
Interfacial phenomena and convection. Zbl 0988.76004
Nepomnyashchy, Alexander A.; Velarde, Manuel G.; Colinet, Pierre
31
2002
Synergetic phenomena in active lattices. Patterns, waves, solitons, chaos. Zbl 1006.37002
Nekorkin, V. I.; Velarde, Manuel G.
26
2002
Strain kinks in an elastic rod embedded in a viscoelastic medium. Zbl 1163.74425
Porubov, A. V.; Velarde, M. G.
6
2002
Interfacial phenomena and the Marangoni effect. Papers from a summer course, Udine, Italy, July, 2000. Zbl 1030.00038
Velarde, Manuel G. (ed.); Zeytounian, Radyadour Kh. (ed.)
1
2002
Dissipative effects on the evolution of internal solitary waves in a sheared, stably stratified fluid layer. Zbl 0995.76017
Zimmerman, William B.; Velarde, Manuel G.
1
2002
Nonlinear dynamics of surface-tension-driven instabilities. With a foreword by I. Prigogine. Zbl 1013.76003
Colinet, P.; Legros, J. C.; Velarde, M. G.
26
2001
Synchronization in two-layer bistable coupled map lattices. Zbl 1082.37510
Nekorkin, V. I.; Kazantsev, V. B.; Velarde, M. G.
2
2001
The nonlinear Schrödinger method for water wave kinematics on finite depth. Zbl 1074.86508
Trulsen, Karsten; Gudmestad, Ove Tobias; Velarde, Manuel G.
1
2001
On weakly nonlinear modulation of waves on deep water. Zbl 1184.76558
Trulsen, Karsten; Kliakhandler, Igor; Dysthe, Kristian B.; Velarde, Manuel G.
39
2000
Dispersive-dissipative solitons in nonlinear solids. Zbl 1074.74587
Porubov, A. V.; Velarde, M. G.
10
2000
A simple generalized excitability model mimicking salient features of neuron dynamics. Zbl 0965.92012
Giaquinta, A.; Argentina, M.; Velarde, M. G.
4
2000
Influence of a surfactant on the instability of a falling liquid film. Zbl 0998.76026
Velarde, M. G.; Shkadov, V. Ya.; Shkadova, V. P.
4
2000
Rayleigh-Marangoni oscillatory instability in a horizontal liquid layer heated from above: Coupling and mode mixing of internal and surface dilational waves. Zbl 0972.76035
Rednikov, A. Ye.; Colinet, P.; Velarde, M. G.; Legros, J. C.
3
2000
On nonlinear waves in an elastic solid. Zbl 0986.74045
Porubov, Alexei V.; Velarde, Manuel G.
1
2000
Exact periodic solutions of the complex Ginzburg-Landau equation. Zbl 0943.35087
Porubov, A. V.; Velarde, M. G.
12
1999
Laboratory evidence of three-dimensional frequency downshift of waves in a long tank. Zbl 1147.76520
Trulsen, Karsten; Stansberg, Carl Trygve; Velarde, Manuel G.
5
1999
On the parametric excitation of thermoelectric instability in a liquid layer open to air. Zbl 0969.76032
Smorodin, B. L.; Gershuni, G. Z.; Velarde, M. G.
2
1999
Strong dispersive effects on internal nonlinear waves in a sheared, stably stratified fluid layer. Zbl 1074.76532
Zimmerman, William B.; Velarde, Manuel G.
1
1999
Thermocapillary convection in two-layer systems. Zbl 0948.76615
Liu, Q. S.; Roux, B.; Velarde, M. G.
9
1998
Bénard-Marangoni convection: Planforms and related theoretical predictions. Zbl 0927.76030
Bragard, J.; Velarde, M. G.
8
1998
Drops, liquid layers and the Marangoni effect. Zbl 0915.76031
Velarde, Manuel G.
4
1998
Implicit time splitting for fourth-order parabolic equations. Zbl 0923.76151
Christov, C. I.; Pontes, J.; Walgraef, D.; Velarde, M. G.
15
1997
Spatial disorder and pattern formation in lattices of coupled bistable elements. Zbl 0888.35050
Nekorkin, V. I.; Makarov, V. A.; Kazantsev, V. B.; Velarde, M. G.
11
1997
Bénard convection flows. Zbl 0892.76025
Bragard, J.; Velarde, M. G.
3
1997
The influence of the thermocapillary effect on the parametric excitation of waves. Zbl 0927.76039
Birikh, R. V.; Briskman, V. A.; Velarde, M. G.; Cherepanov, A. A.
1
1997
Pulses, fronts and chaotic wave trains in a one-dimensional Chua’s lattice. Zbl 0907.58045
Kazantsev, V. B.; Nekorkin, V. I.; Velarde, M. G.
1
1997
Spatial disorder and waves in a ring chain of bistable oscillators. Zbl 0900.70292
Nekorkin, Vladimir I.; Makarov, Valeri A.; Velarde, Manuel G.
4
1996
Travelling waves in a circular array of Chua’s circuits. Zbl 0874.34042
Nekorkin, Vladimir I.; Kazantsev, Victor B.; Velarde, Manuel G.
4
1996
On automated derivation of amplitude equations in nonlinear bifurcation problems. Zbl 1298.35180
Pismen, Leonid M.; Rubinstein, Boris Y.; Velarde, Manuel G.
3
1996
Numerical study of patterns and their evolution in finite geometries. Zbl 0884.76024
Pontes, J.; Christov, C. I.; Velarde, M. G.
2
1996
Patterns, defects, and evolution of Bénard-Marangoni cells. Zbl 0881.76036
Bragard, J.; Pontes, J.; Velarde, M. G.
1
1996
Dissipative solitons. Zbl 0885.35108
Christov, C. I.; Velarde, M. G.
36
1995
Further results on the evolution of solitary waves and their bound states of a dissipative Korteweg-de Vries equation. Zbl 0888.35099
Velarde, Manuel G.; Nekorkin, Vladimir I.; Maksimov, Andrey G.
10
1995
Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation. Zbl 0840.35093
Rednikov, A. E.; Velarde, M. G.; Ryazantsev, Yu. S.; Nepomnyashchy, A. A.; Kurdyumov, V. N.
7
1995
Solitary waves of permanent form in a deep fluid with weak shear. Zbl 1023.76505
Derzho, Oleg G.; Velarde, Manuel G.
3
1995
The role of time-varying gravity on the motion of a drop induced by Marangoni instability. Zbl 1026.76519
Rednikov, Alexei Ye.; Kurdyumov, Vadim N.; Ryazantsev, Yuri S.; Velarde, Manuel G.
2
1995
Marangoni-Bénard instability of a floating liquid layer with an internal, permeable, heated or cooled divider and two deformable open surfaces. Zbl 0922.76184
Birikh, R. V.; Briskman, V. A.; Rudakov, R. N.; Velarde, M. G.
1
1995
Inelastic interaction of Boussinesq solitons. Zbl 0899.76089
Christov, C. I.; Velarde, M. G.
20
1994
A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers. Zbl 0826.76020
Nepomnyashchy, Alexander A.; Velarde, Manuel G.
19
1994
Solitary waves, soliton bound states and chaos in a dissipative Korteweg-de Vries equation. Zbl 0878.76014
Nekorkin, Vladimir I.; Velarde, Manuel G.
15
1994
Long time data series and difficulties with the characterization of chaotic attractors: A case with intermittency III. Zbl 0817.34022
Del Rio, Ezequiel; Velarde, Manuel G.; Rodriguez-Lozano, Angel
10
1994
Drop motion with surfactant transfer in a homogeneous surrounding. Zbl 0846.76096
Rednikov, Alexei Ye.; Ryazantsev, Yuri S.; Velarde, Manuel G.
4
1994
Note on the stability of limit cycles of an asymmetric (Helmholtz-Thompson) nonlinear oscillator. Zbl 0925.70220
del Rio, Ezequiel; Rodriguez-Lozano, Angel; Velarde, Manuel G.
3
1994
Experimental evidence for synchronous behavior of chaotic nonlinear oscillators with unidirectional or mutual driving. Zbl 0900.70275
Del Río, Ezequiel; Velarde, Manuel G.; Rodríguez-Lozano, Angel; Rul’kov, Nikolai F.; Volkovskii, Alexander R.
3
1994
Active drops and drop motions due to nonequilibrium phenomena. Zbl 0803.76031
Rednikov, Alexei Ye.; Ryazantsev, Yuri S.; Velarde, Manuel G.
3
1994
Synchronous chaotic behaviour of a response oscillator with chaotic driving. Zbl 0795.34027
Rul’kov, Nikolai F.; Volkovskij, Alexander R.; Rodriguez-Lozano, Angel; Del Rio, Ezequiel; Velarde, Manuel G.
3
1994
Melnikov’s criterion and its experimental test using a nonlinear oscillator. Zbl 0794.34029
Del Rio, Ezequiel; Rodriguez-Lozano, Angel; Velarde, Manuel G.
2
1994
Drop motion with surfactant transfer in an inhomogeneous medium. Zbl 0900.76729
Rednikov, Alexei Ye.; Ryazantsev, Yuri S.; Velárde, Manuel G.
1
1994
Marangoni-Bénard convective instability driven by a heated divider. Zbl 0797.76030
Birikh, R. V.; Briskman, V. A.; Rudakov, R. N.; Velarde, M. G.
1
1994
On localization solutions of an equation governing Benard–Marangoni convection. Zbl 0785.76077
Christov, Christo I.; Velarde, Manuel G.
8
1993
Transverse and longitudinal waves at an air-liquid interface in the presence of an adsorption barrier. Zbl 0879.76113
Hennenberg, M.; Chu, X. L.; Velarde, M. G.; Sanfeld, A.
1
1993
Mutual synchronization of chaotic self-oscillators with dissipative coupling. Zbl 0875.94137
Rul’kov, N. F.; Volkovskij, A. R.; Rodríguez-Lozano, Angel; Del Río, Ezequiel; Velarde, Manuel G.
15
1992
Internal solitary waves. Zbl 0744.76032
Weidman, P. D.; Velarde, M. G.
3
1992
On dynamic excitation of Marangoni instability. Zbl 0762.76032
Gershuni, G. Z.; Nepomnyashchy, A. A.; Velarde, M. G.
2
1992
Dissipative Korteweg-de Vries description of Marangoni-Bénard oscillatory convection. Zbl 0745.76077
Garazo, Alfredo N.; Velarde, Manuel G.
26
1991
Bénard-Marangoni convection with a deformable interface and poorly conducting boundaries. Zbl 0634.76050
Garcia-Ybarra, P. L.; Castillo, J. L.; Velarde, M. G.
16
1987
Oscillatory Marangoni-Bénard interfacial instability and capillary- gravity waves in single- and two-component liquid layers with or without Soret thermal diffusion. Zbl 0629.76049
Garcia-Ybarra, P. L.; Velarde, M. G.
6
1987
Oscillatory and steady convection in dielectric liquid layers subjected to unipolar injection and temperature gradient. Zbl 0552.76088
Castellanos, A.; Atten, P.; Velarde, M. G.
6
1984
Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above. Zbl 0509.76047
Castillo, J. L.; Velarde, M. G.
8
1982
Electrohydrodynamic stability in the presence of a thermal gradient. Zbl 0476.76049
Castellanos, A.; Velarde, M. G.
4
1981
Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law. Zbl 0455.35107
Bonilla, L. L.; Velarde, M. G.
8
1979
Time-periodic oscillations in a model for the respiratory process of a bacterial culture. Zbl 0417.92003
Fairen, V.; Velarde, M. G.
5
1979
Thermal diffusion and convective stability: The role of uniform rotation of the container. Zbl 0398.76034
Antoranz, J. C.; Velarde, M. G.
3
1979
Dissipative structures in a nonlinear reaction-diffusion model with forward inhibition. Stability of secondary multiple steady states. Zbl 0449.35057
Fairen, V.; Velarde, M. G.
2
1979
Hydrodynamic instabilities (in isotropic fluids). Zbl 0369.76042
Velarde, Manuel G.
1
1977
Thermal diffusion and convective stability. II: An analysis of the convected fluxes. Zbl 0246.76039
Velarde, M. G.; Schechter, R. S.
2
1972
all top 5

Cited by 1,026 Authors

39 Velarde, Manuel G.
24 Kalliadasis, Serafim
20 Nepomnyashchy, Alexander A.
13 Christov, Christo Ivanov
10 Makarov, Valeri A.
10 Ruyer-Quil, Christian
10 Wei, Junjie
9 Anishchenko, Vadim Semenovich
9 Del Rio, Ezequiel
9 Oron, Alexander
9 Tseluiko, Dmitri
8 Ebeling, Werner
8 Golovin, Alexander A.
8 Nekorkin, Vladimir I.
8 Strelkova, Galina Ivanova
7 Papageorgiou, Demetrios T.
6 Chetverikov, Aleksandr Petrovich
6 Goyeau, Benoit
6 Pismen, Leonid M.
6 Pradas, Marc
6 Shkadov, Victor Ya.
6 Simanovskii, Ilya B.
6 Trevelyan, Philip M. J.
6 Yan, Xiangping
5 Bilbault, Jean-Marie
5 Camporeale, Carlo
5 D’Alessio, Sergio J. D.
5 Demekhin, Evgeny A.
5 Dietze, Georg F.
5 Kazantsev, Victor B.
5 Mao, Xiaochen
5 Pascal, Jean-Paul
5 Ren, Weiqing
5 Rybalova, Elena V.
5 Salupere, Andrus
5 Song, Yongli
5 Thiele, Uwe
5 Trulsen, Karsten
4 Binczak, Stéphane
4 Bukh, Andrei V.
4 Christou, Marios Andreas
4 Denner, Fabian
4 Elaskar, Sergio A.
4 Gallaire, François
4 Gaskell, Philip H.
4 Gramstad, Odin
4 Kolkovska, Natalia T.
4 Lee, Hyun Geun
4 Lee, Yeaw Chu
4 Nepomnyashchy, Alex A.
4 Porubov, Alexey V.
4 Quintard, Michel
4 Sellier, Mathieu
4 Smorodin, Boris L.
4 Thompson, Harvey M.
4 Usha, R.
3 Balestra, Gioele
3 Belhaq, Mohamed
3 Beloglazkin, A. N.
3 Bestehorn, Michael
3 Bontozoglou, Vasilis
3 Chung, Kwok-Wai
3 Clamond, Didier
3 Davis, Jeffrey M.
3 Debsarma, Suma
3 Deng, Jin
3 Fan, Dejun
3 Fu, Zuntao
3 Gomes, Susana N.
3 Grue, John
3 Hill, Antony A.
3 Huang, Jicai
3 Jing, Zhujun
3 Kudryashov, Nikolaĭ Alekseevich
3 Lavalle, Gianluca
3 Ledda, Pier Giuseppe
3 Lerisson, Gaétan
3 Li, Dening
3 Li, Yibao
3 Li, You-Rong
3 Liu, Shida
3 Liu, Shikuo
3 Liu, Zhifang
3 Low, Hong-Tong
3 Mansour, Mahmoud Bakheet A.
3 Marinov, Tchavdar T.
3 Matar, Omar K.
3 Pavliotis, Grigorios A.
3 Podolny, Alla
3 Rodriguez-Lozano, Angel
3 Rulkov, Nikolai F.
3 Ryazantsev, Yuri S.
3 Samanta, Arghya
3 Saprykin, Sergey
3 Scheid, Benoit
3 Shklyaev, Sergey V.
3 Song, Zigen
3 Straughan, Brian
3 Tiwari, Naveen
3 Vadivasova, Tat’yana Evgen’evna
...and 926 more Authors
all top 5

Cited in 127 Serials

73 Journal of Fluid Mechanics
62 Physics of Fluids
40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Physica D
21 Chaos
19 Chaos, Solitons and Fractals
17 Wave Motion
15 Nonlinear Dynamics
15 European Journal of Mechanics. B. Fluids
14 Journal of Computational Physics
12 Fluid Dynamics
12 International Journal of Heat and Mass Transfer
11 Acta Mechanica
11 Mathematics and Computers in Simulation
10 Applied Mathematics and Computation
9 Nonlinear Analysis. Real World Applications
8 Computers and Fluids
8 Journal of Engineering Mathematics
7 Communications in Nonlinear Science and Numerical Simulation
5 Biological Cybernetics
5 Physics of Fluids, A
5 Applied Mathematics and Mechanics. (English Edition)
5 Acta Mathematicae Applicatae Sinica. English Series
5 Applied Mathematical Modelling
5 Journal of Applied Mechanics and Technical Physics
4 Computers & Mathematics with Applications
4 International Journal for Numerical Methods in Fluids
4 Journal of Mathematical Analysis and Applications
4 Journal of Computational and Applied Mathematics
4 Journal of Non-Equilibrium Thermodynamics
4 The ANZIAM Journal
4 Mathematical Modelling of Natural Phenomena
3 International Journal of Modern Physics B
3 International Journal of Engineering Science
3 Journal of Mathematical Physics
3 Theoretical and Mathematical Physics
3 Journal of Differential Equations
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 SIAM Journal on Applied Mathematics
3 Mathematical Problems in Engineering
3 Water Waves
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Biology
2 Journal of Statistical Physics
2 Moscow University Mechanics Bulletin
2 Physics Letters. A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Theoretical and Applied Mechanics (Sofia)
2 Meccanica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Journal of Scientific Computing
2 Neural Networks
2 Computational and Applied Mathematics
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Discrete Dynamics in Nature and Society
2 Regular and Chaotic Dynamics
2 Computational Geosciences
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Acta Mechanica Sinica
2 Nonlinear Analysis. Theory, Methods & Applications
1 Archive for Rational Mechanics and Analysis
1 International Journal of Solids and Structures
1 Journal of the Franklin Institute
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 Physics Reports
1 Theoretical and Computational Fluid Dynamics
1 Journal of Geometry and Physics
1 Prikladnaya Matematika i Mekhanika
1 International Journal of Circuit Theory and Applications
1 International Journal for Numerical Methods in Engineering
1 Mechanics Research Communications
1 Quarterly of Applied Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Theoretical Computer Science
1 Acta Applicandae Mathematicae
1 International Journal of Intelligent Systems
1 European Journal of Applied Mathematics
1 Journal of Global Optimization
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
1 Historia Mathematica
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Archive of Applied Mechanics
1 Advances in Engineering Software
1 Continuum Mechanics and Thermodynamics
1 Journal of the Egyptian Mathematical Society
1 Engineering Analysis with Boundary Elements
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Multibody System Dynamics
...and 27 more Serials

Citations by Year

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