## Suris, Yuri Borisovich

Compute Distance To:
 Author ID: suris.yuri-borisovich Published as: Suris, Yuri B.; Suris, Yu. B.; Suris, Yuri Borisovich; Suris, Yuri more...less
 Documents Indexed: 100 Publications since 1987, including 2 Books Co-Authors: 25 Co-Authors with 53 Joint Publications 454 Co-Co-Authors
all top 5

### Co-Authors

 47 single-authored 23 Bobenko, Alexander Ivanovich 19 Petrera, Matteo 7 Boll, Raphael 6 Adler, Vsevolod Eduardovich 3 Pfadler, Andreas 3 Ragnisco, Orlando 2 Matthes, Daniel 2 Schief, Wolfgang Karl 2 Techter, Jan 2 Veselov, Alexander Petrovich 1 Engel, Maximilian 1 Fedorov, Yuri N. 1 Hoffmann, Tim 1 Kühn, Christian 1 Lorbeer, B. 1 Mercat, Christian 1 Papageorgiou, Vassilios G. 1 Schmalian, Misha 1 Smirin, Jennifer 1 Sridhar, Ananth 1 Tongas, Anastasios G. 1 Tumarkin, Yuriy 1 Vermeeren, Mats 1 Wei, Kangning 1 Zander, René
all top 5

### Serials

 9 IMRN. International Mathematics Research Notices 8 Physics Letters. A 5 Communications in Mathematical Physics 5 Letters in Mathematical Physics 5 Journal of Physics A: Mathematical and General 5 Journal of Nonlinear Mathematical Physics 4 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Inverse Problems 2 Functional Analysis and its Applications 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Experimental Mathematics 2 Mathematical Physics, Analysis and Geometry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Nonlinearity 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Physica D 1 Algebra i Analiz 1 Leningrad Mathematical Journal 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 1 Communications in Analysis and Geometry 1 St. Petersburg Mathematical Journal 1 Regular and Chaotic Dynamics 1 Matematicheskoe Modelirovanie 1 Theoretical and Applied Mechanics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Graduate Studies in Mathematics 1 Progress in Mathematics 1 Frontiers of Mathematics in China 1 Journal of Geometric Mechanics 1 Journal of Computational Dynamics 1 Journal of Integrable Systems
all top 5

### Fields

 75 Dynamical systems and ergodic theory (37-XX) 31 Difference and functional equations (39-XX) 28 Mechanics of particles and systems (70-XX) 17 Partial differential equations (35-XX) 16 Numerical analysis (65-XX) 11 Algebraic geometry (14-XX) 11 Ordinary differential equations (34-XX) 9 Differential geometry (53-XX) 6 Geometry (51-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Convex and discrete geometry (52-XX) 3 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

83 Publications have been cited 1,245 times in 716 Documents Cited by Year
Classification of integrable equations on quad-graphs. The consistency approach. Zbl 1075.37022
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2003
The problem of integrable discretization: Hamiltonian approach. Zbl 1033.37030
Suris, Yuri B.
2003
Discrete differential geometry. Integrable structure. Zbl 1158.53001
Bobenko, Alexander I.; Suris, Yuri B.
2008
Integrable systems on quad-graphs. Zbl 1004.37053
Bobenko, Alexander I.; Suris, Yuri B.
2002
Discrete nonlinear hyperbolic equations. Classification of integrable cases. Zbl 1271.37048
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2009
Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function. Zbl 1099.37054
Bobenko, Alexander I.; Mercat, Christian; Suris, Yuri B.
2005
Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top. Zbl 0945.70010
Bobenko, A. I.; Suris, Yu. B.
1999
New integrable systems related to the relativistic Toda lattice. Zbl 1001.37508
Suris, Yuri B.
1997
Hamiltonian Runge-Kutta type methods and their variational interpretation. Zbl 0972.70500
Suris, Yu. B.
1990
On the preservation of the symplectic structure in the course of numerical integration of Hamiltonian systems. Zbl 0786.34021
Suris, Yu. B.
1988
On organizing principles of discrete differential geometry. Geometry of spheres. Zbl 1192.51010
Bobenko, A. I.; Suris, Yu. B.
2007
On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
2011
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings. Zbl 1065.14015
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2004
On integrable mappings of standard type. Zbl 0689.58021
Suris, Yu. B.
1989
Discrete Lagrangian reduction, discrete Euler-Poincaré equations, and semidirect products. Zbl 0965.70025
Bobenko, Alexander I.; Suris, Yuri B.
1999
$$\text{Q}_4$$: Integrable master equation related to an elliptic curve. Zbl 1081.37038
Adler, V. E.; Suris, Yu. B.
2004
On the canonical property of maps generated by methods of Runge-Kutta type for integration of systems $$\ddot x=-\partial U/\partial x$$. Zbl 0686.65039
Suris, Yu. B.
1989
Integrable discretizations for lattice system: Local equations of motion and their Hamiltonian properties. Zbl 0965.37058
Suris, Yuri B.
1999
On integrability of Hirota-Kimura-type discretizations: experimental study of the discrete Clebsch system. Zbl 1178.14007
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
2009
On some integrable systems related to the Toda lattice. Zbl 0935.37037
Suris, Yuri B.
1997
A discrete-time relativistic Toda lattice. Zbl 0916.58014
Suris, Yuri B.
1996
The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems $$\ddot x=-\partial U/\partial x$$. Zbl 0702.65070
Suris, Yu. B.
1989
Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. Zbl 1330.37057
Suris, Yuri B.
2013
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
2003
On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top. Zbl 1202.37089
Petrera, Matteo; Suris, Yuri B.
2010
Discrete and smooth orthogonal systems: $$C^\infty$$-approximation. Zbl 1085.53008
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
2003
What is the relativistic Volterra lattice? Zbl 0939.37036
Suris, Yuri B.; Ragnisco, Orlando
1999
Why is the Ruijsenaars-Schneider hierarchy governed by the same $$R$$-operator as the Calogero-Moser one? Zbl 0962.81531
Suris, Yuri B.
1997
Integrable noncommutative equations on quad-graphs. The consistency approach. Zbl 1075.37023
Bobenko, A. I.; Suris, Yu. B.
2002
Classification of integrable discrete equations of octahedron type. Zbl 1277.39006
Adler, Vsevolod E.; Bobenko, Alexander I.; Suris, Yuri B.
2012
A discrete-time Garnier system. Zbl 0961.39500
Suris, Yu. B.
1994
Bi-Hamiltonian structure of the $$qd$$ algorithm and new discretizations of the Toda lattice. Zbl 1020.35531
Suris, Yuri B.
1995
Integrable discretizations of the Euler top. Zbl 0944.70009
Bobenko, A. I.; Lorbeer, B.; Suris, Yu. B.
1998
On the Lagrangian structure of integrable quad-equations. Zbl 1379.70061
Bobenko, Alexander I.; Suris, Yuri B.
2010
On quadrirational Yang-Baxter maps. Zbl 1190.14012
Papageorgiou, V. G.; Suris, Yu. B.; Tongas, A. G.; Veselov, A. P.
2010
Multi-time Lagrangian 1-forms for families of Bäcklund transformations: Toda-type systems. Zbl 1302.37036
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2013
A note on an integrable discretization of the nonlinear Schrödinger equation. Zbl 0939.35173
Suris, Yuri B.
1997
Discrete Koenigs nets and discrete isothermic surfaces. Zbl 1171.53003
Bobenko, Alexander I.; Suris, Yuri B.
2009
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice. Zbl 0993.52004
Bobenko, Alexander I.; Hoffmann, Tim; Suris, Yuri B.
2002
What is integrability of discrete variational systems? Zbl 1365.37053
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2014
On the Lagrangian structure of integrable hierarchies. Zbl 1408.37120
Suris, Yuri B.; Vermeeren, Mats
2016
Integrable discretizations of the Bogoyavlensky lattices. Zbl 0863.58042
Suris, Yuri B.
1996
Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. Zbl 1348.37098
Bobenko, A. I.; Suris, Yu. B.
2015
Time discretization of F. Calogero’s “goldfish” system. Zbl 1362.39015
Suris, Yuri B.
2005
Non-symmetric discrete Toda systems from quad-graphs. Zbl 1189.35270
Boll, Raphael; Suris, Yuri B.
2010
On an integrable discretization of the modified Korteweg-de Vries equation. Zbl 1044.35523
Suris, Yuri B.
1997
Integrable discretizations of the spin Ruijsenaars-Schneider models. Zbl 0887.58025
Ragnisco, Orlando; Suris, Yuri B.
1997
Variational symmetries and pluri-Lagrangian systems. Zbl 1353.37137
Suris, Yuri B.
2016
Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems. Zbl 1310.37029
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2015
Generalized Toda chains in discrete time. Zbl 0724.35101
Suris, Yu. B.
1991
Isothermic surfaces in sphere geometries as Moutard nets. Zbl 1142.53014
Bobenko, Alexander I.; Suris, Yuri B.
2007
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. Zbl 07140891
Petrera, Matteo; Smirin, Jennifer; Suris, Yuri B.
2019
On a discretization of confocal quadrics. I. An integrable systems approach. Zbl 1400.37085
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
2016
Partitioned Runge-Kutta methods as phase volume preserving integrators. Zbl 0972.65506
Suris, Yuri B.
1996
Discrete Lagrangian models. Zbl 1066.37035
Suris, Yu. B.
2004
On the Lagrangian structure of 3D consistent systems of asymmetric quad-equations. Zbl 1257.37043
Boll, Raphael; Suris, Yuri B.
2012
On the $$r$$-matrix interpretation of Bogoyavlensky lattices. Zbl 0941.37536
Suris, Yu. B.
1994
On the complex separatrices of some standard-like maps. Zbl 0813.58024
Suris, Yuri B.
1994
On the $$r$$-matrix structure of the Neumann system and its discretizations. Zbl 0872.35063
Ragnisco, Orlando; Suris, Yuri B.
1997
Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. Zbl 1098.53005
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
2006
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. Zbl 1457.37085
Petrera, Matteo; Suris, Yuri B.
2019
S. V. Kovalevskaya system, its generalization and discretization. Zbl 1308.37027
Petrera, Matteo; Suris, Yuri B.
2013
On a discretization of confocal quadrics. A geometric approach to general parametrizations. Zbl 1466.37056
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
2020
Manin involutions for elliptic pencils and discrete integrable systems. Zbl 07345856
Petrera, Matteo; Suris, Yuri B.; Wei, Kangning; Zander, René
2021
Spherical geometry and integrable systems. Zbl 1304.37040
Petrera, Matteo; Suris, Yuri B.
2014
Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices. Zbl 0883.58015
Suris, Yuri B.
1997
An integrable discretization of the rational $${\mathfrak su(2)}$$ Gaudin model and related systems. Zbl 1151.81024
Petrera, Matteo; Suris, Yuri B.
2008
Variational symmetries and pluri-Lagrangian systems in classical mechanics. Zbl 1421.70031
Petrera, Matteo; Suris, Yuri B.
2017
On integrability of discrete variational systems: octahedron relations. Zbl 1377.37094
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2016
Integrability of Adler’s discretization of the Neumann system. Zbl 0972.37040
Suris, Yu. B.
2001
On the variational interpretation of the discrete KP equation. Zbl 1351.37239
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2016
Discrete-time analogues of some nonlinear oscillators in the inverse-square potential. Zbl 0840.70018
Suris, Yuri B.
1994
Generalized Toda chains in discrete time. Zbl 0709.35096
Suris, Yu. B.
1990
Some properties of methods for the numerical integration of systems of the form $$\ddot x=f(x)$$. Zbl 0663.65072
Suris, Yu. B.
1987
Some properties of methods for the numerical integration of systems of the form $$\ddot x=f(x)$$. Zbl 0637.65071
Suris, Yu. B.
1987
Discrete time Toda systems. Zbl 1402.37070
Suris, Yuri B.
2018
Integrable discrete nets in Grassmannians. Zbl 1181.37109
Adler, Vsevolod Eduardovich; Bobenko, Alexander Ivanovich; Suris, Yuri Borisovich
2009
Irreducibility of a Schrödinger equation with a quasiperiodic potential. Zbl 0703.34052
Suris, Yu. B.
1989
A family of integrable symplectic standard-like maps related to symmetric spaces. Zbl 0961.37510
Suris, Yuri B.
1994
The motion of a rigid body in a quadratic potential: An integrable discretization. Zbl 1031.70004
Suris, Yuri B.
2000
On the construction of elliptic solutions of integrable birational maps. Zbl 1380.37116
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.; Fedorov, Yuri N.
2017
Commutativity in Lagrangian and Hamiltonian mechanics. Zbl 1414.53075
Sridhar, Ananth; Suris, Yuri B.
2019
A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps. Zbl 1404.37070
Petrera, Matteo; Suris, Yuri B.
2017
Manin involutions for elliptic pencils and discrete integrable systems. Zbl 07345856
Petrera, Matteo; Suris, Yuri B.; Wei, Kangning; Zander, René
2021
On a discretization of confocal quadrics. A geometric approach to general parametrizations. Zbl 1466.37056
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
2020
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. Zbl 07140891
Petrera, Matteo; Smirin, Jennifer; Suris, Yuri B.
2019
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. Zbl 1457.37085
Petrera, Matteo; Suris, Yuri B.
2019
Commutativity in Lagrangian and Hamiltonian mechanics. Zbl 1414.53075
Sridhar, Ananth; Suris, Yuri B.
2019
Discrete time Toda systems. Zbl 1402.37070
Suris, Yuri B.
2018
Variational symmetries and pluri-Lagrangian systems in classical mechanics. Zbl 1421.70031
Petrera, Matteo; Suris, Yuri B.
2017
On the construction of elliptic solutions of integrable birational maps. Zbl 1380.37116
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.; Fedorov, Yuri N.
2017
A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps. Zbl 1404.37070
Petrera, Matteo; Suris, Yuri B.
2017
On the Lagrangian structure of integrable hierarchies. Zbl 1408.37120
Suris, Yuri B.; Vermeeren, Mats
2016
Variational symmetries and pluri-Lagrangian systems. Zbl 1353.37137
Suris, Yuri B.
2016
On a discretization of confocal quadrics. I. An integrable systems approach. Zbl 1400.37085
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
2016
On integrability of discrete variational systems: octahedron relations. Zbl 1377.37094
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2016
On the variational interpretation of the discrete KP equation. Zbl 1351.37239
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2016
Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. Zbl 1348.37098
Bobenko, A. I.; Suris, Yu. B.
2015
Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems. Zbl 1310.37029
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2015
What is integrability of discrete variational systems? Zbl 1365.37053
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2014
Spherical geometry and integrable systems. Zbl 1304.37040
Petrera, Matteo; Suris, Yuri B.
2014
Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. Zbl 1330.37057
Suris, Yuri B.
2013
Multi-time Lagrangian 1-forms for families of Bäcklund transformations: Toda-type systems. Zbl 1302.37036
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2013
S. V. Kovalevskaya system, its generalization and discretization. Zbl 1308.37027
Petrera, Matteo; Suris, Yuri B.
2013
Classification of integrable discrete equations of octahedron type. Zbl 1277.39006
Adler, Vsevolod E.; Bobenko, Alexander I.; Suris, Yuri B.
2012
On the Lagrangian structure of 3D consistent systems of asymmetric quad-equations. Zbl 1257.37043
Boll, Raphael; Suris, Yuri B.
2012
On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
2011
On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top. Zbl 1202.37089
Petrera, Matteo; Suris, Yuri B.
2010
On the Lagrangian structure of integrable quad-equations. Zbl 1379.70061
Bobenko, Alexander I.; Suris, Yuri B.
2010
On quadrirational Yang-Baxter maps. Zbl 1190.14012
Papageorgiou, V. G.; Suris, Yu. B.; Tongas, A. G.; Veselov, A. P.
2010
Non-symmetric discrete Toda systems from quad-graphs. Zbl 1189.35270
Boll, Raphael; Suris, Yuri B.
2010
Discrete nonlinear hyperbolic equations. Classification of integrable cases. Zbl 1271.37048
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2009
On integrability of Hirota-Kimura-type discretizations: experimental study of the discrete Clebsch system. Zbl 1178.14007
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
2009
Discrete Koenigs nets and discrete isothermic surfaces. Zbl 1171.53003
Bobenko, Alexander I.; Suris, Yuri B.
2009
Integrable discrete nets in Grassmannians. Zbl 1181.37109
Adler, Vsevolod Eduardovich; Bobenko, Alexander Ivanovich; Suris, Yuri Borisovich
2009
Discrete differential geometry. Integrable structure. Zbl 1158.53001
Bobenko, Alexander I.; Suris, Yuri B.
2008
An integrable discretization of the rational $${\mathfrak su(2)}$$ Gaudin model and related systems. Zbl 1151.81024
Petrera, Matteo; Suris, Yuri B.
2008
On organizing principles of discrete differential geometry. Geometry of spheres. Zbl 1192.51010
Bobenko, A. I.; Suris, Yu. B.
2007
Isothermic surfaces in sphere geometries as Moutard nets. Zbl 1142.53014
Bobenko, Alexander I.; Suris, Yuri B.
2007
Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. Zbl 1098.53005
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
2006
Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function. Zbl 1099.37054
Bobenko, Alexander I.; Mercat, Christian; Suris, Yuri B.
2005
Time discretization of F. Calogero’s “goldfish” system. Zbl 1362.39015
Suris, Yuri B.
2005
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings. Zbl 1065.14015
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2004
$$\text{Q}_4$$: Integrable master equation related to an elliptic curve. Zbl 1081.37038
Adler, V. E.; Suris, Yu. B.
2004
Discrete Lagrangian models. Zbl 1066.37035
Suris, Yu. B.
2004
Classification of integrable equations on quad-graphs. The consistency approach. Zbl 1075.37022
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2003
The problem of integrable discretization: Hamiltonian approach. Zbl 1033.37030
Suris, Yuri B.
2003
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
2003
Discrete and smooth orthogonal systems: $$C^\infty$$-approximation. Zbl 1085.53008
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
2003
Integrable systems on quad-graphs. Zbl 1004.37053
Bobenko, Alexander I.; Suris, Yuri B.
2002
Integrable noncommutative equations on quad-graphs. The consistency approach. Zbl 1075.37023
Bobenko, A. I.; Suris, Yu. B.
2002
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice. Zbl 0993.52004
Bobenko, Alexander I.; Hoffmann, Tim; Suris, Yuri B.
2002
Integrability of Adler’s discretization of the Neumann system. Zbl 0972.37040
Suris, Yu. B.
2001
The motion of a rigid body in a quadratic potential: An integrable discretization. Zbl 1031.70004
Suris, Yuri B.
2000
Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top. Zbl 0945.70010
Bobenko, A. I.; Suris, Yu. B.
1999
Discrete Lagrangian reduction, discrete Euler-Poincaré equations, and semidirect products. Zbl 0965.70025
Bobenko, Alexander I.; Suris, Yuri B.
1999
Integrable discretizations for lattice system: Local equations of motion and their Hamiltonian properties. Zbl 0965.37058
Suris, Yuri B.
1999
What is the relativistic Volterra lattice? Zbl 0939.37036
Suris, Yuri B.; Ragnisco, Orlando
1999
Integrable discretizations of the Euler top. Zbl 0944.70009
Bobenko, A. I.; Lorbeer, B.; Suris, Yu. B.
1998
New integrable systems related to the relativistic Toda lattice. Zbl 1001.37508
Suris, Yuri B.
1997
On some integrable systems related to the Toda lattice. Zbl 0935.37037
Suris, Yuri B.
1997
Why is the Ruijsenaars-Schneider hierarchy governed by the same $$R$$-operator as the Calogero-Moser one? Zbl 0962.81531
Suris, Yuri B.
1997
A note on an integrable discretization of the nonlinear Schrödinger equation. Zbl 0939.35173
Suris, Yuri B.
1997
On an integrable discretization of the modified Korteweg-de Vries equation. Zbl 1044.35523
Suris, Yuri B.
1997
Integrable discretizations of the spin Ruijsenaars-Schneider models. Zbl 0887.58025
Ragnisco, Orlando; Suris, Yuri B.
1997
On the $$r$$-matrix structure of the Neumann system and its discretizations. Zbl 0872.35063
Ragnisco, Orlando; Suris, Yuri B.
1997
Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices. Zbl 0883.58015
Suris, Yuri B.
1997
A discrete-time relativistic Toda lattice. Zbl 0916.58014
Suris, Yuri B.
1996
Integrable discretizations of the Bogoyavlensky lattices. Zbl 0863.58042
Suris, Yuri B.
1996
Partitioned Runge-Kutta methods as phase volume preserving integrators. Zbl 0972.65506
Suris, Yuri B.
1996
Bi-Hamiltonian structure of the $$qd$$ algorithm and new discretizations of the Toda lattice. Zbl 1020.35531
Suris, Yuri B.
1995
A discrete-time Garnier system. Zbl 0961.39500
Suris, Yu. B.
1994
On the $$r$$-matrix interpretation of Bogoyavlensky lattices. Zbl 0941.37536
Suris, Yu. B.
1994
On the complex separatrices of some standard-like maps. Zbl 0813.58024
Suris, Yuri B.
1994
Discrete-time analogues of some nonlinear oscillators in the inverse-square potential. Zbl 0840.70018
Suris, Yuri B.
1994
A family of integrable symplectic standard-like maps related to symmetric spaces. Zbl 0961.37510
Suris, Yuri B.
1994
Generalized Toda chains in discrete time. Zbl 0724.35101
Suris, Yu. B.
1991
Hamiltonian Runge-Kutta type methods and their variational interpretation. Zbl 0972.70500
Suris, Yu. B.
1990
Generalized Toda chains in discrete time. Zbl 0709.35096
Suris, Yu. B.
1990
On integrable mappings of standard type. Zbl 0689.58021
Suris, Yu. B.
1989
On the canonical property of maps generated by methods of Runge-Kutta type for integration of systems $$\ddot x=-\partial U/\partial x$$. Zbl 0686.65039
Suris, Yu. B.
1989
The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems $$\ddot x=-\partial U/\partial x$$. Zbl 0702.65070
Suris, Yu. B.
1989
Irreducibility of a Schrödinger equation with a quasiperiodic potential. Zbl 0703.34052
Suris, Yu. B.
1989
On the preservation of the symplectic structure in the course of numerical integration of Hamiltonian systems. Zbl 0786.34021
Suris, Yu. B.
1988
Some properties of methods for the numerical integration of systems of the form $$\ddot x=f(x)$$. Zbl 0663.65072
Suris, Yu. B.
1987
Some properties of methods for the numerical integration of systems of the form $$\ddot x=f(x)$$. Zbl 0637.65071
Suris, Yu. B.
1987
all top 5

### Cited by 779 Authors

 37 Suris, Yuri Borisovich 27 Bobenko, Alexander Ivanovich 17 Petrera, Matteo 15 Zhang, Dajun 13 Nijhoff, Frank W. 13 Pottmann, Helmut 10 Quispel, Gilles Reinout Willem 10 Tsyganov, Andreĭ Vladimirovich 9 Adler, Vsevolod Eduardovich 9 Calogero, Francesco A. 9 Doliwa, Adam 9 Gubbiotti, Giorgio 9 Joshi, Nalini 9 van der Kamp, Peter H. 8 Kassotakis, Pavlos G. 8 Nakazono, Nobutaka 8 Schief, Wolfgang Karl 7 Khabibullin, Ismagil Talgatovich 7 Meiss, James D. 7 Mikhailov, Alexander Vasil’evich 7 Nieszporski, Maciej 7 Wang, Jingping 6 Geng, Xianguo 6 Grammaticos, Basil 6 Hone, Andrew N. W. 6 Hu, Xingbiao 6 Levi, Decio 6 Martín de Diego, David 6 Müller-Hoissen, Folkert 6 Ramani, Alfred 6 Wallner, Johannes 6 Xenitidis, Pavlos 6 Yamilov, Ravil’ Islamovich 6 Zhang, Danda 6 Zhang, Yingnan 6 Zhao, Songlin 5 Boll, Raphael 5 Bücking, Ulrike 5 Dragović, Vladimir 5 Hoffmann, Tim 5 Kels, Andrew P. 5 Khakimova, Aĭgul’ Rinatovna 5 Konstantinou-Rizos, Sotiris 5 Kouloukas, Theodoros E. 5 Sahadevan, Ramajayam 5 Scimiterna, Christian 5 Sergeev, Sergeĭ Mikhaĭlovich 5 Sun, Yajuan 5 Tang, Wensheng 5 Wei, Jiao 4 Atkinson, James R. 4 Bazhanov, Vladimir V. 4 Butcher, John C. 4 Caudrelier, Vincent 4 Cieśliński, Jan L. 4 Elenin, G. G. 4 Fan, Engui 4 Fedorov, Yuri N. 4 Gekhtman, Mikhaèl I. 4 Günther, Felix 4 Hong, Jialin 4 Ivan, Gheorghe 4 Ober-Blöbaum, Sina 4 Papageorgiou, Vassilios G. 4 Pinkall, Ulrich 4 Qin, Mengzhao 4 Rossman, Wayne 4 Sanz-Serna, Jesús María 4 Tran, Dinh Thi 4 Vekslerchik, Vadym Yevgenovych 4 Veselov, Alexander Petrovich 4 Yu, Guofu 4 Zhang, Yufeng 4 Zhao, Haiqiong 4 Zhou, Ruguang 4 Zhu, Zuonong 4 Zullo, Federico 3 Ablowitz, Mark Jay 3 Bloch, Anthony Michael 3 Burstall, Francis Everett 3 Campos, Cédric Martínez 3 Capel, Hans W. 3 Carl, Wolfgang 3 Celledoni, Elena 3 Dimakis, Aristophanes 3 Fehér, László Gy. 3 Feng, Baofeng 3 Gay-Balmaz, François 3 Grohs, Philipp 3 Hertrich-Jeromin, Udo J. 3 Hou, Boyu 3 Hydon, Peter Ellsworth 3 Ivan, Mihai 3 Iwasaki, Masashi 3 Jiménez, Fernando 3 Jovanović, Božidar Žarko 3 Kajiwara, Kenji 3 Karasözen, Bülent 3 Leyendecker, Sigrid 3 Linn, Joachim ...and 679 more Authors
all top 5

### Cited in 173 Serials

 64 Journal of Mathematical Physics 39 Journal of Nonlinear Mathematical Physics 32 Theoretical and Mathematical Physics 26 Letters in Mathematical Physics 23 Physics Letters. A 18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Journal of Physics A: Mathematical and Theoretical 15 Applied Mathematics and Computation 14 Regular and Chaotic Dynamics 13 Nuclear Physics. B 13 Journal of Geometry and Physics 12 Physica D 11 Communications in Mathematical Physics 9 Chaos, Solitons and Fractals 9 Discrete & Computational Geometry 8 BIT 8 Geometriae Dedicata 8 Mathematical Physics, Analysis and Geometry 8 Foundations of Computational Mathematics 8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 Computers & Mathematics with Applications 7 Journal of Computational Physics 7 Journal of Mathematical Analysis and Applications 7 Studies in Applied Mathematics 7 Journal of Nonlinear Science 7 Advances in Computational Mathematics 6 Nonlinearity 6 Advances in Mathematics 6 Journal of Mathematical Sciences (New York) 6 Discrete and Continuous Dynamical Systems 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Mathematics of Computation 5 Functional Analysis and its Applications 5 Journal of Computational and Applied Mathematics 5 Mathematische Zeitschrift 5 Computer Aided Geometric Design 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 5 Differential Geometry and its Applications 5 Journal of Difference Equations and Applications 5 Advances in Difference Equations 5 Proceedings of the Steklov Institute of Mathematics 5 Frontiers of Mathematics in China 5 Journal of Computational Dynamics 4 Reports on Mathematical Physics 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Computational Mathematics and Mathematical Physics 4 Chaos 4 Ufimskiĭ Matematicheskiĭ Zhurnal 3 International Journal of Modern Physics B 3 Applicable Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Computer Physics Communications 3 Journal für die Reine und Angewandte Mathematik 3 Mathematical and Computer Modelling 3 SIAM Journal on Scientific Computing 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of High Energy Physics 3 International Journal of Geometric Methods in Modern Physics 3 European Journal of Mathematics 3 Actes des Rencontres du C.I.R.M. 2 Modern Physics Letters B 2 Bulletin of the Australian Mathematical Society 2 International Journal of Theoretical Physics 2 Mathematical Notes 2 Physica A 2 Physics Reports 2 Reviews in Mathematical Physics 2 Beiträge zur Algebra und Geometrie 2 Inventiones Mathematicae 2 Journal of Geometry 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Annals of Global Analysis and Geometry 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Algorithms 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Fractals 2 Advances in Applied Clifford Algebras 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Nexus Network Journal 2 Annales Henri Poincaré 2 Differential Equations 2 Theoretical and Applied Mechanics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Advances in Mathematical Physics 2 Journal of Geometric Mechanics 2 Science China. Mathematics 2 Analysis and Mathematical Physics 1 Modern Physics Letters A 1 Acta Mechanica 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis ...and 73 more Serials
all top 5

### Cited in 55 Fields

 459 Dynamical systems and ergodic theory (37-XX) 165 Difference and functional equations (39-XX) 150 Numerical analysis (65-XX) 137 Partial differential equations (35-XX) 124 Mechanics of particles and systems (70-XX) 96 Differential geometry (53-XX) 62 Quantum theory (81-XX) 61 Ordinary differential equations (34-XX) 50 Convex and discrete geometry (52-XX) 44 Algebraic geometry (14-XX) 38 Statistical mechanics, structure of matter (82-XX) 29 Associative rings and algebras (16-XX) 29 Geometry (51-XX) 24 Nonassociative rings and algebras (17-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Functions of a complex variable (30-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Special functions (33-XX) 12 Mechanics of deformable solids (74-XX) 11 Computer science (68-XX) 10 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Potential theory (31-XX) 8 Operator theory (47-XX) 7 Fluid mechanics (76-XX) 6 Topological groups, Lie groups (22-XX) 6 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Relativity and gravitational theory (83-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)