Edit Profile (opens in new tab) Vivaldi, Franco Compute Distance To: Compute Author ID: vivaldi.franco Published as: Vivaldi, Franco; Vivaldi, F.; Vivaldi, F. M. Homepage: http://www.maths.qmul.ac.uk/~fvivaldi/ External Links: MGP Documents Indexed: 61 Publications since 1981, including 2 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 128 Reviews Co-Authors: 42 Co-Authors with 53 Joint Publications 919 Co-Co-Authors all top 5 Co-Authors 10 single-authored 14 Lowenstein, John H. 9 Roberts, John Anthony Gerard 5 Percival, Ian C. 3 Arrowsmith, David K. 3 Chirikov, Boris Valerianovich 3 Ford, Joseph J. III 3 Hatjispyros, Spyros J. 3 Poggiaspalla, Guillaume 2 Hoseana, Jonathan 2 Jogia, Danesh 2 Kouptsov, Konstantin L. 2 Reeve-Black, Heather 1 Alwani, Fairuz 1 Bartuccelli, Michele V. 1 Bird, Nigel 1 Bosio, D. 1 Bountis, Anastasios 1 Bountis, Tassos C. 1 Burić, Nikola I. 1 Carretero-González, Ricardo 1 Chao, A. W. 1 Courant, Ernest D. 1 Coutsias, Evangelos A. 1 Dragt, Alex J. 1 Durand, Fabien 1 Eckhardt, Bruno 1 Fan, Ai Hua 1 Feigenbaum, Mitchell J. 1 Goetz, Arek 1 Greene, John M. 1 Helleman, Robert H. G. 1 Herrera, John C. 1 Hirooka, H. 1 Khrennikov, Andreĭ Yur’evich 1 Liberman, Michael A. 1 Lichtenberg, Allan J. 1 Lieberman, Michael A. 1 Lin, Dongdai 1 MacKay, Robert Sinclair 1 Month, Melvin 1 Morton, Patrick 1 Moser, Jürgen K. 1 Neumärker, Natascha 1 Nucinkis, D. 1 Pettigrew, Jim 1 Saito, Asaki 1 Shajdenko, Anna Viktorovna 1 Shepelyansky, Dima L. 1 Tennyson, J. L. 1 van Strien, Sebastian J. 1 Veerman, J. J. P. 1 Vladimirov, Igor G. 1 Walker, G. H. 1 Wang, Yuefei 1 Zhang, Xusheng all top 5 Serials 17 Nonlinearity 16 Physica D 6 Chaos 5 Dynamical Systems 2 Journal of Difference Equations and Applications 1 Communications in Mathematical Physics 1 Physics Letters. A 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 Physical Review Letters 1 Journal of Nonlinear Mathematical Physics 1 AIP Conference Proceedings 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Computational Dynamics 1 Springer Undergraduate Mathematics Series all top 5 Fields 58 Dynamical systems and ergodic theory (37-XX) 26 Number theory (11-XX) 7 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 446 times in 277 Documents Cited by ▼ Year ▼ Universal behaviour in families of area-preserving maps. Zbl 1194.37011Greene, J. M.; Mackay, R. S.; Vivaldi, F.; Feigenbaum, M. J. 33 1981 Geometry of \(p\)-adic Siegel discs. Zbl 0822.11081Arrowsmith, David K.; Vivaldi, Franco 27 1994 Arithmetical properties of strongly chaotic motions. Zbl 0616.58039Percival, Ian; Vivaldi, Franco 26 1987 Quadratic rational rotations of the torus and dual lattice maps. Zbl 1012.37025Kouptsov, K. L.; Lowenstein, J. H.; Vivaldi, F. 21 2002 Recursive tiling and geometry of piecewise rotations by \(\pi/7\). Zbl 1059.37031Lowenstein, J. H.; Kouptsov, K. L.; Vivaldi, F. 21 2004 Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off. Zbl 0933.37059Lowenstein, John; Hatjispyros, Spyros; Vivaldi, Franco 20 1997 An algebraic geometric approach to integrable maps of the plane. Zbl 1117.14032Jogia, Danesh; Roberts, John A. G.; Vivaldi, Franco 18 2006 Global stability of a class of discontinuous dual billiards. Zbl 0653.58018Vivaldi, Franco; Shaidenko, Anna V. 18 1987 Bifurcations and discriminants for polynomial maps. Zbl 0827.12001Morton, Patrick; Vivaldi, Franco 15 1995 Numerical study of billiard motion in an annulus bounded by non-concentric circles. Zbl 1194.65125Saitô, N.; Hirooka, H.; Ford, J.; Vivaldi, F.; Walker, G. H. 14 1982 Embedding dynamics for round-off errors near a periodic orbit. Zbl 0969.37038Lowenstein, J. H.; Vivaldi, F. 13 2000 Anomalous transport in a model of Hamiltonian round-off. Zbl 0917.58035Lowenstein, J. H.; Vivaldi, F. 12 1998 Dynamics over irreducible polynomials. Zbl 0762.58020Vivaldi, Franco 12 1992 A theory of modulational diffusion. Zbl 0584.58033Chirikov, B. V.; Lieberman, M. A.; Shepel’yanskij, D. L.; Vivaldi, F. M. 11 1985 Galois theory of periodic orbits of rational maps. Zbl 0767.11049Vivaldi, Franco; Hatjispyros, Spyros 11 1992 Mode-locking in coupled map lattices. Zbl 1194.37048Carretero-González, R.; Arrowsmith, D. K.; Vivaldi, F. 10 1997 Arithmetical method to detect integrability in maps. Zbl 1267.37058Roberts, J. A. G.; Vivaldi, F. 10 2003 Sticky orbits in a kicked-oscillator model. Zbl 1098.37066Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F. 9 2005 Round-off errors and \(p\)-adic numbers. Zbl 1009.65077Bosio, D.; Vivaldi, F. 8 2000 Periodicity and transport from round-off errors. Zbl 0832.58017Vivaldi, Franco 8 1994 Pseudo-randomness of round-off errors in discretized linear maps on the plane. Zbl 1057.37044Vivaldi, Franco; Vladimirov, Igor 8 2003 A linear code for the sawtooth and cat maps. Zbl 0647.58031Percival, Ian; Vivaldi, Franco 8 1987 Periodic orbits of the sawtooth maps. Zbl 0648.58027Bird, Nigel; Vivaldi, Franco 8 1988 An algorithmic view of pseudochaos. Zbl 0960.81022Chirikov, B. V.; Vivaldi, F. 7 1999 Critical function and modular smoothing. Zbl 0734.58030Buric, N.; Percival, I. C.; Vivaldi, F. 7 1990 Analytically solvable dynamical systems which are not integrable. Zbl 0597.58009Eckhardt, Bruno; Ford, Joseph; Vivaldi, Franco 7 1984 The arithmetic of discretized rotations. Zbl 1152.37329Vivaldi, Franco 7 2006 Interval exchange transformations over algebraic number fields: the cubic Arnoux-Yoccoz model. Zbl 1128.37026Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F. 7 2007 Signature of time-reversal symmetry in polynomial automorphisms over finite fields. Zbl 1084.37035Roberts, John A. G.; Vivaldi, Franco 6 2005 Geometric representation of interval exchange maps over algebraic number fields. Zbl 1141.37020Poggiaspalla, G.; Lowenstein, J. H.; Vivaldi, F. 6 2008 Ideal orbits of toral automorphisms. Zbl 0694.58033Bartuccelli, Michele; Vivaldi, Franco 5 1989 A combinatorial model for reversible rational maps over finite fields. Zbl 1171.37321Roberts, John A. G.; Vivaldi, Franco 5 2009 Geometry of linear maps over finite fields. Zbl 0755.58031Vivaldi, Franco 5 1992 Arithmetical theory of Anosov diffeomorphisms. Zbl 0643.58016Vivaldi, F. 5 1987 Renormalization of one-parameter families of piecewise isometries. Zbl 1418.37074Lowenstein, J. H.; Vivaldi, F. 5 2016 Critical dynamics and trees. Zbl 0662.58038Percival, Ian; Vivaldi, Franco 4 1988 Complexity of regular invertible \(p\)-adic motions. Zbl 1080.37564Pettigrew, J.; Roberts, J. A. G.; Vivaldi, F. 3 2001 Arithmetical properties of a family of irrational piecewise rotations. Zbl 1100.37028Vivaldi, F.; Lowenstein, J. H. 3 2006 Algebraic number theory and Hamiltonian chaos. Zbl 0706.58039Vivaldi, F. 3 1990 Approach to a rational rotation number in a piecewise isometric system. Zbl 1218.37049Lowenstein, J. H.; Vivaldi, F. 3 2010 Near-integrable behaviour in a family of discretized rotations. Zbl 1273.37035Reeve-Black, Heather; Vivaldi, Franco 3 2013 Geometrical properties of the mean-median map. Zbl 1448.37024Hoseana, Jonathan; Vivaldi, Franco 2 2020 Small perturbations of a discrete twist map. Zbl 0932.37025Zhang, Xu-Sheng; Vivaldi, Franco 2 1998 Some statistical properties of discretized quasiperiodic orbits. Zbl 0908.58050Nucinkis, D.; Arrowsmith, D. K.; Vivaldi, F. 2 1997 Distribution of periodic orbits for the Casati-Prosen map on rational lattices. Zbl 1338.37055Neumärker, Natascha; Roberts, John A. G.; Vivaldi, Franco 2 2012 A family of rational zeta functions for the quadratic map. Zbl 0827.58046Hatjispyros, Spyros; Vivaldi, Franco 2 1995 Cauchy distributions for the integrable standard map. Zbl 1448.37077Bountis, Anastasios; Veerman, J. J. P.; Vivaldi, Franco 1 2020 Cellular automata and finite fields. Zbl 0891.11061Vivaldi, Franco 1 1994 Asymptotics in a family of linked strip maps. Zbl 1364.37097Reeve-Black, Heather; Vivaldi, Franco 1 2015 Arithmetic exponents in piecewise-affine planar maps. Zbl 1364.37182Roberts, John A. G.; Vivaldi, Franco 1 2015 Geometrical properties of the mean-median map. Zbl 1448.37024Hoseana, Jonathan; Vivaldi, Franco 2 2020 Cauchy distributions for the integrable standard map. Zbl 1448.37077Bountis, Anastasios; Veerman, J. J. P.; Vivaldi, Franco 1 2020 Renormalization of one-parameter families of piecewise isometries. Zbl 1418.37074Lowenstein, J. H.; Vivaldi, F. 5 2016 Asymptotics in a family of linked strip maps. Zbl 1364.37097Reeve-Black, Heather; Vivaldi, Franco 1 2015 Arithmetic exponents in piecewise-affine planar maps. Zbl 1364.37182Roberts, John A. G.; Vivaldi, Franco 1 2015 Near-integrable behaviour in a family of discretized rotations. Zbl 1273.37035Reeve-Black, Heather; Vivaldi, Franco 3 2013 Distribution of periodic orbits for the Casati-Prosen map on rational lattices. Zbl 1338.37055Neumärker, Natascha; Roberts, John A. G.; Vivaldi, Franco 2 2012 Approach to a rational rotation number in a piecewise isometric system. Zbl 1218.37049Lowenstein, J. H.; Vivaldi, F. 3 2010 A combinatorial model for reversible rational maps over finite fields. Zbl 1171.37321Roberts, John A. G.; Vivaldi, Franco 5 2009 Geometric representation of interval exchange maps over algebraic number fields. Zbl 1141.37020Poggiaspalla, G.; Lowenstein, J. H.; Vivaldi, F. 6 2008 Interval exchange transformations over algebraic number fields: the cubic Arnoux-Yoccoz model. Zbl 1128.37026Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F. 7 2007 An algebraic geometric approach to integrable maps of the plane. Zbl 1117.14032Jogia, Danesh; Roberts, John A. G.; Vivaldi, Franco 18 2006 The arithmetic of discretized rotations. Zbl 1152.37329Vivaldi, Franco 7 2006 Arithmetical properties of a family of irrational piecewise rotations. Zbl 1100.37028Vivaldi, F.; Lowenstein, J. H. 3 2006 Sticky orbits in a kicked-oscillator model. Zbl 1098.37066Lowenstein, J. H.; Poggiaspalla, G.; Vivaldi, F. 9 2005 Signature of time-reversal symmetry in polynomial automorphisms over finite fields. Zbl 1084.37035Roberts, John A. G.; Vivaldi, Franco 6 2005 Recursive tiling and geometry of piecewise rotations by \(\pi/7\). Zbl 1059.37031Lowenstein, J. H.; Kouptsov, K. L.; Vivaldi, F. 21 2004 Arithmetical method to detect integrability in maps. Zbl 1267.37058Roberts, J. A. G.; Vivaldi, F. 10 2003 Pseudo-randomness of round-off errors in discretized linear maps on the plane. Zbl 1057.37044Vivaldi, Franco; Vladimirov, Igor 8 2003 Quadratic rational rotations of the torus and dual lattice maps. Zbl 1012.37025Kouptsov, K. L.; Lowenstein, J. H.; Vivaldi, F. 21 2002 Complexity of regular invertible \(p\)-adic motions. Zbl 1080.37564Pettigrew, J.; Roberts, J. A. G.; Vivaldi, F. 3 2001 Embedding dynamics for round-off errors near a periodic orbit. Zbl 0969.37038Lowenstein, J. H.; Vivaldi, F. 13 2000 Round-off errors and \(p\)-adic numbers. Zbl 1009.65077Bosio, D.; Vivaldi, F. 8 2000 An algorithmic view of pseudochaos. Zbl 0960.81022Chirikov, B. V.; Vivaldi, F. 7 1999 Anomalous transport in a model of Hamiltonian round-off. Zbl 0917.58035Lowenstein, J. H.; Vivaldi, F. 12 1998 Small perturbations of a discrete twist map. Zbl 0932.37025Zhang, Xu-Sheng; Vivaldi, Franco 2 1998 Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off. Zbl 0933.37059Lowenstein, John; Hatjispyros, Spyros; Vivaldi, Franco 20 1997 Mode-locking in coupled map lattices. Zbl 1194.37048Carretero-González, R.; Arrowsmith, D. K.; Vivaldi, F. 10 1997 Some statistical properties of discretized quasiperiodic orbits. Zbl 0908.58050Nucinkis, D.; Arrowsmith, D. K.; Vivaldi, F. 2 1997 Bifurcations and discriminants for polynomial maps. Zbl 0827.12001Morton, Patrick; Vivaldi, Franco 15 1995 A family of rational zeta functions for the quadratic map. Zbl 0827.58046Hatjispyros, Spyros; Vivaldi, Franco 2 1995 Geometry of \(p\)-adic Siegel discs. Zbl 0822.11081Arrowsmith, David K.; Vivaldi, Franco 27 1994 Periodicity and transport from round-off errors. Zbl 0832.58017Vivaldi, Franco 8 1994 Cellular automata and finite fields. Zbl 0891.11061Vivaldi, Franco 1 1994 Dynamics over irreducible polynomials. Zbl 0762.58020Vivaldi, Franco 12 1992 Galois theory of periodic orbits of rational maps. Zbl 0767.11049Vivaldi, Franco; Hatjispyros, Spyros 11 1992 Geometry of linear maps over finite fields. Zbl 0755.58031Vivaldi, Franco 5 1992 Critical function and modular smoothing. Zbl 0734.58030Buric, N.; Percival, I. C.; Vivaldi, F. 7 1990 Algebraic number theory and Hamiltonian chaos. Zbl 0706.58039Vivaldi, F. 3 1990 Ideal orbits of toral automorphisms. Zbl 0694.58033Bartuccelli, Michele; Vivaldi, Franco 5 1989 Periodic orbits of the sawtooth maps. Zbl 0648.58027Bird, Nigel; Vivaldi, Franco 8 1988 Critical dynamics and trees. Zbl 0662.58038Percival, Ian; Vivaldi, Franco 4 1988 Arithmetical properties of strongly chaotic motions. Zbl 0616.58039Percival, Ian; Vivaldi, Franco 26 1987 Global stability of a class of discontinuous dual billiards. Zbl 0653.58018Vivaldi, Franco; Shaidenko, Anna V. 18 1987 A linear code for the sawtooth and cat maps. Zbl 0647.58031Percival, Ian; Vivaldi, Franco 8 1987 Arithmetical theory of Anosov diffeomorphisms. Zbl 0643.58016Vivaldi, F. 5 1987 A theory of modulational diffusion. Zbl 0584.58033Chirikov, B. V.; Lieberman, M. A.; Shepel’yanskij, D. L.; Vivaldi, F. M. 11 1985 Analytically solvable dynamical systems which are not integrable. Zbl 0597.58009Eckhardt, Bruno; Ford, Joseph; Vivaldi, Franco 7 1984 Numerical study of billiard motion in an annulus bounded by non-concentric circles. Zbl 1194.65125Saitô, N.; Hirooka, H.; Ford, J.; Vivaldi, F.; Walker, G. H. 14 1982 Universal behaviour in families of area-preserving maps. Zbl 1194.37011Greene, J. M.; Mackay, R. S.; Vivaldi, F.; Feigenbaum, M. J. 33 1981 all cited Publications top 5 cited Publications all top 5 Cited by 388 Authors 27 Vivaldi, Franco 10 Lowenstein, John H. 8 Mañosa, Víctor 7 Doyle, John R. 7 Roberts, John Anthony Gerard 6 Khrennikov, Andreĭ Yur’evich 6 Meiss, James D. 5 Bastien, Guy 5 Cima, Anna 5 Fu, Xinchu 5 Rogalski, Marc 5 Vaienti, Sandro 4 Gasull, Armengol 4 Goetz, Arek 4 Kahng, Byungik 4 Korhonen, Risto 4 Lindahl, Karl-Olof 4 Morton, Patrick 4 Mukhamedov, Farruh Maksutovich 4 Tabachnikov, Serge L. 4 Zaslavskiĭ, Georgiĭ Moiseevich 3 Ashwin, Peter 3 Beck, Christian 3 Dettmann, Carl P. 3 Efthymiopoulos, Christos 3 Fernandez, Bastien 3 Gallavotti, Giovanni M. 3 Gentile, Guido 3 Mañosas, Francesc 3 Oliveira, Diego F. M. 3 Percival, Ian C. 3 Poggiaspalla, Guillaume 3 Porter, Mason Alexander 3 Quispel, Gilles Reinout Willem 3 Saito, Asaki 3 Silverman, Joseph Hillel 3 Tanikawa, Kiyotaka 3 Yurova, Ekaterina I. 2 Akiyama, Shigeki 2 Anashin, Vladimir Sergeevich 2 Arrowsmith, David K. 2 Bruin, Henk 2 Capel, Hans W. 2 Carretero-González, Ricardo 2 Chen, Fei 2 Cincotta, Pablo M. 2 Cobo, Milton 2 Coutinho, Ricardo 2 de la Llave, Rafael 2 Degli Esposti, Mirko 2 Ezra, Gregory S. 2 Gaivão, José Pedro 2 Groote, Stefan 2 Gutiérrez-Romo, Rodolfo 2 Gutkin, Eugene 2 Halburd, Rodney G. 2 Hooper, W. Patrick 2 Kocarev, Ljupco 2 Kuznetsov, Sergey P. 2 Liao, Xiaofeng 2 Llibre, Jaume 2 Neumärker, Natascha 2 Páez, Rocío Isabel 2 Peres, Pedro L. D. 2 Pethő, Attila 2 Quas, Anthony 2 Rodrigues, Ana 2 Sataev, Igor’ Rustamovich 2 Schmidt, Thomas A. 2 Shparlinski, Igor E. 2 Shui, Shuliang 2 Siboni, Stefano 2 Stevens, John G. 2 Surer, Paul 2 Thomas, Diana Maria 2 Tsuchiya, Masa 2 Turchetti, Giorgio 2 van der Kamp, Peter H. 2 Wong, Kwokwo 2 Yamaguchi, Akihiro 2 Yamaguchi, Yoshihiro 2 Yi, Ren 2 Yu, Rongzhong 2 Zhang, Hongkun 1 Abarenkova, Nina 1 Adler, Roy Lee 1 Afraimovich, Valentin S. 1 Ahnert, Karsten 1 Aihara, Kazuyuki 1 Alevy, Ian 1 Altmann, Eduardo G. 1 Alwani, Fairuz 1 Amar, V. 1 Amigó, José María 1 Anglès d’Auriac, Jean-Christian 1 Arnol’d, Vladimir Igorevich 1 Arnoux, Pierre 1 Aston, Philip J. 1 Axelsson, E. I. Yurova 1 Axelsson, E. Yurova ...and 288 more Authors all top 5 Cited in 99 Serials 38 Chaos 30 Physica D 16 Dynamical Systems 10 Journal of Statistical Physics 10 Ergodic Theory and Dynamical Systems 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Mathematical Physics 7 Communications in Mathematical Physics 7 Transactions of the American Mathematical Society 6 Experimental Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 5 Chaos, Solitons and Fractals 4 Celestial Mechanics and Dynamical Astronomy 3 Physica A 3 Advances in Mathematics 3 Journal of Difference Equations and Applications 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 Geometriae Dedicata 2 Mathematische Zeitschrift 2 Topology and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Finite Fields and their Applications 2 Conformal Geometry and Dynamics 2 Qualitative Theory of Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Modern Dynamics 2 Journal of Computational Dynamics 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Fluid Mechanics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Reviews of Modern Physics 1 Wave Motion 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Transactions of the Moscow Mathematical Society 1 Circuits, Systems, and Signal Processing 1 Applied Numerical Mathematics 1 Boletim da Sociedade Portuguesa de Matemática 1 Journal of the American Mathematical Society 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Elemente der Mathematik 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Journal de Théorie des Nombres de Bordeaux 1 Physics of Fluids 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 International Journal of Modern Physics C 1 Physical Review Letters 1 Advances in Geometry 1 Physical Review E. Third Series 1 Computational Methods and Function Theory 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Geometric Methods in Modern Physics 1 Sarajevo Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematics in Computer Science 1 Algebra & Number Theory 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 Research in Number Theory 1 Journal of Siberian Federal University. Mathematics & Physics 1 Actes des Rencontres du C.I.R.M. all top 5 Cited in 39 Fields 233 Dynamical systems and ergodic theory (37-XX) 49 Number theory (11-XX) 25 Mechanics of particles and systems (70-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Difference and functional equations (39-XX) 15 Algebraic geometry (14-XX) 14 Quantum theory (81-XX) 10 Field theory and polynomials (12-XX) 10 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 9 Information and communication theory, circuits (94-XX) 7 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 6 Measure and integration (28-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Group theory and generalizations (20-XX) 5 Functions of a complex variable (30-XX) 5 Probability theory and stochastic processes (60-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year