Edit Profile (opens in new tab) Franks, John M. Co-Author Distance Author ID: franks.john-m Published as: Franks, John; Franks, John M.; Franks, J. more...less Documents Indexed: 87 Publications since 1969, including 2 Books Co-Authors: 29 Co-Authors with 43 Joint Publications 850 Co-Co-Authors all top 5 Co-Authors 44 single-authored 10 Handel, Michael 3 Farb, Benson 3 Kra, Bryna 3 Misiurewicz, Michał 3 Parwani, Kamlesh 2 Blanchard, Paul R. 2 Bowen, Rufus 2 Cyr, Van 2 Le Calvez, Patrice 2 Williams, Robert F. 1 Asimov, Daniel 1 Barge, Marcy M. 1 Bonatti, Christian 1 Boyle, Mike 1 Crovisier, Sylvain 1 Fisher, Stephen D. 1 Fried, David 1 Gambaudo, Jean-Marc 1 Kitchens, Bruce P. 1 Llibre, Jaume 1 Narasimhan, Carolyn C. 1 Petite, Samuel 1 Richeson, David S. 1 Robinson, Clark 1 Rykken, Elyn K. 1 Shub, Michael 1 Sullivan, Michael C. 1 Williams, Bob 1 Young, Lai-Sang all top 5 Serials 13 Transactions of the American Mathematical Society 8 Proceedings of the American Mathematical Society 8 Ergodic Theory and Dynamical Systems 5 Topology 5 Annals of Mathematics. Second Series 4 Inventiones Mathematicae 4 Geometry & Topology 3 Journal of Modern Dynamics 2 American Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the American Mathematical Society. New Series 1 The New York Journal of Mathematics 1 Regional Conference Series in Mathematics 1 Student Mathematical Library all top 5 Fields 77 Dynamical systems and ergodic theory (37-XX) 28 Manifolds and cell complexes (57-XX) 11 General topology (54-XX) 8 Algebraic topology (55-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 1,714 times in 1,280 Documents Cited by ▼ Year ▼ Necessary conditions for stability of diffeomorphisms. Zbl 0219.58005Franks, J. 118 1971 Generalizations of the Poincaré-Birkhoff theorem. Zbl 0676.58037Franks, John 110 1988 Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms. Zbl 0766.53037Franks, John 101 1992 Anosov diffeomorphisms. Zbl 0207.54304Franks, John 92 1970 Homology and dynamical systems. Zbl 0497.58018Franks, John M. 81 1982 Braids and the Jones polynomial. Zbl 0647.57002Franks, John; Williams, R. F. 80 1987 The periodic points of maps of the disk and the interval. Zbl 0346.58010Bowen, Rufus; Franks, John 77 1976 Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023Franks, John 62 1988 Realizing rotation vectors for torus homeomorphisms. Zbl 0664.58028Franks, John 58 1989 Homology for zero-dimensional nonwandering sets. Zbl 0375.58018Bowen, Rufus; Franks, John 56 1977 Rotation sets of toral flows. Zbl 0701.57016Franks, John; Misiurewicz, Michał 48 1990 Flow equivalence of subshifts of finite type. Zbl 0555.54026Franks, John 46 1984 Anosov diffeomorphisms on tori. Zbl 0191.21604Franks, John 45 1969 Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028Franks, John; Handel, Michael 42 2003 Nonsingular Smale flows on \(S^ 3\). Zbl 0609.58039Franks, John 40 1985 Shift equivalence and the Conley index. Zbl 0956.37010Franks, John; Richeson, David 38 2000 Area preserving homeomorphisms of open surfaces of genus zero. Zbl 0891.58033Franks, John 34 1996 Groups of homeomorphisms of one-manifolds. III: Nilpotent subgroups. Zbl 1037.37020Farb, Benson; Franks, John 33 2003 Regions of instability for non-twist maps. Zbl 1140.37331Franks, John; Le Calvez, Patrice 32 2003 A quasi-Anosov diffeomorphism that is not Anosov. Zbl 0347.58008Franks, John; Robinson, Clark 31 1976 Distortion elements in group actions on surfaces. Zbl 1088.37009Franks, John; Handel, Michael 27 2006 Morse-Smale flows and homotopy theory. Zbl 0426.58013Franks, John M. 24 1979 Knots, links, and symbolic dynamics. Zbl 0469.58013Franks, John M. 23 1981 A new proof of the Brouwer plane translation theorem. Zbl 0767.58025Franks, John 22 1992 Cycles for disk homeomorphisms and thick trees. Zbl 0793.58029Franks, John; Misiurewicz, Michał 22 1993 Anomalous Anosov flows. Zbl 0463.58021Franks, John; Williams, Bob 21 1980 Rotation vectors and fixed points of area preserving surface diffeomorphisms. Zbl 0862.58006Franks, John 20 1996 Some smooth maps with infinitely many hyperbolic periodic points. Zbl 0346.58011Franks, John M. 18 1977 Entropy and knots. Zbl 0587.58038Franks, John; Williams, R. F. 18 1985 Invariant sets of hyperbolic toral automorphisms. Zbl 0373.58006Franks, John M. 14 1977 Period doubling and the Lefschetz formula. Zbl 0552.58025Franks, John 14 1985 The dynamical complexity of orientation reversing homeomorphisms of surfaces. Zbl 0481.58020Blanchard, Paul; Franks, John 13 1980 Automorphisms of one-sided subshifts of finite type. Zbl 0695.54029Boyle, Mike; Franks, John; Kitchens, Bruce 12 1990 The rotation set and periodic points for torus homeomorphisms. Zbl 0991.37510Franks, John 11 1995 Rotation numbers and instability sets. Zbl 1060.37036Franks, John 11 2003 Fixed points of abelian actions on \(S^2\). Zbl 1143.37030Franks, John; Handel, Michael; Parwani, Kamlesh 11 2007 Distortion and the automorphism group of a shift. Zbl 1407.37022Cyr, Van; Franks, John; Kra, Bryna; Petite, Samuel 11 2018 Entropy zero area preserving diffeomorphisms of \(S^{2}\). Zbl 1359.37039Franks, John; Handel, Michael 11 2012 The Conley index and non-existence of minimal homeomorphisms. Zbl 0948.37005Franks, John 10 1999 Fixed points of Abelian actions. Zbl 1130.37023Franks, John; Handel, Michael; Parwani, Kamlesh 9 2007 Unremovable closed orbits. Zbl 0521.58047Asimov, D.; Franks, J. 9 1983 The periodic behavior of Morse-Smale diffeomorphisms. Zbl 0388.58013Franks, John; Narasimhan, Carolyn 9 1978 The periodic structure of non-singular Morse-Smale flows. Zbl 0403.58008Franks, John 9 1978 Topological methods in dynamics. Zbl 1048.37001Franks, John; Misiurewicz, Michał 9 2002 The fixed points of an analytic self-mapping. Zbl 0611.30009Fisher, S. D.; Franks, John 8 1987 Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326Franks, John; Handel, Michael 8 2009 Differentiably \(\Omega\)-stable diffeomorphisms. Zbl 0232.58006Franks, John 7 1972 Area preserving group actions on surfaces. Zbl 1036.37010Franks, John; Handel, Michael 7 2003 Time dependent stable diffeomorphisms. Zbl 0275.58011Franks, John M. 7 1974 Constructing structurally stable diffeomorphisms. Zbl 0366.58007Franks, John M. 6 1977 The existence of Morse-Smale diffeomorphisms. Zbl 0472.58013Franks, John; Shub, Michael 5 1981 A reduced zeta function for diffeomorphisms. Zbl 0405.58037Franks, John M. 5 1978 Distortion in groups of circle and surface diffeomorphisms. Zbl 1162.37012Franks, John 5 2006 Periodic points and rotation numbers for area preserving diffeomorphisms of the plane. Zbl 0721.58031Franks, John 5 1990 Triviality of some representations of \(\operatorname{MCG}(S_g)\) in \(\mathrm{GL}(n,\mathbb C)\), \(\operatorname{Diff}(S^2)\) and \(\operatorname{Homeo}(\mathbb T^2)\). Zbl 1353.20026Franks, John; Handel, Michael 5 2013 Entropy and exponential growth of \(\pi _ 1\) in dimension two. Zbl 0644.58016Franks, John M.; Handel, Michael 4 1988 Manifolds of \(C^r\) mappings and applications to differentiable dynamical systems. Zbl 0452.58013Franks, John 4 1979 Pseudo-Anosov homeomorphisms with quadratic expansion. Zbl 0920.58035Franks, J.; Rykken, E. 4 1999 Group actions on one-manifolds. II: Extensions of Hölder’s Theorem. Zbl 1025.37024Farb, Benson; Franks, John 4 2003 An obstruction to the existence of certain dynamics in surface diffeomorphisms. Zbl 0502.58030Blanchard, Paul; Franks, John 4 1981 The spacetime of a shift endomorphism. Zbl 1410.37019Cyr, Van; Franks, John; Kra, Bryna 4 2019 A Hölder continuous vector field tangent to many foliations. Zbl 1147.37313Bonatti, Christian; Franks, John 3 2004 Periods of surface homeomorphisms. Zbl 0737.58048Franks, John; Llibre, Jaume 3 1991 Recurrent sets for planar homeomorphisms. Zbl 0806.57005Barge, Marcy; Franks, John 3 1993 Absolutely structurally stable diffeomorphisms. Zbl 0253.58008Franks, John 3 1973 Groups of homeomorphisms of one-manifolds. I: Actions of nonlinear groups. Zbl 1452.37033Farb, Benson; Franks, John 3 2020 A variation on the Poincaré-Birkhoff theorem. Zbl 0679.58026Franks, John 3 1988 Symbolic dynamics in flows on three-manifolds. Zbl 0534.58032Franks, John 3 1983 A (terse) introduction to Lebesgue integration. Zbl 1177.28001Franks, John 2 2009 Symbolic dynamics, homology, and knots. Zbl 0461.58009Franks, John M. 2 1980 Rotation vectors for surface diffeomorphisms. Zbl 0865.58031Franks, John 2 1995 Two foliations in the plane. Zbl 0334.57015Franks, John M. 2 1976 A \(C^ 2\) Kupka-Smale diffeomorphism of the disk with no sources or sinks. Zbl 0515.58027Franks, John; Young, Lai-Sang 2 1981 Non-singular flows on \(S^3\) with hyperbolic chain-recurrent set. Zbl 0387.58006Franks, John M. 2 1977 Flows with knotted closed orbits. Zbl 1002.57015Franks, John; Sullivan, Michael C. 1 2002 Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006Franks, John; Handel, Michael 1 2013 Holonomy invariant cochains for foliations. Zbl 0346.57008Franks, John M. 1 1977 The Lefschetz function of a point. Zbl 0694.55004Franks, John; Fried, David 1 1989 Cantor’s other proofs that \(\mathbb{R}\) is uncountable. Zbl 1227.97009Franks, John 1 2010 Rotation numbers for \(S^2\) diffeomorphisms. Zbl 1385.37059Franks, John 1 2017 Polygonal \(\mathbb{Z}^2\)-subshifts. Zbl 1457.37024Franks, John; Kra, Bryna 1 2020 Groups of homeomorphisms of one-manifolds. I: Actions of nonlinear groups. Zbl 1452.37033Farb, Benson; Franks, John 3 2020 Polygonal \(\mathbb{Z}^2\)-subshifts. Zbl 1457.37024Franks, John; Kra, Bryna 1 2020 The spacetime of a shift endomorphism. Zbl 1410.37019Cyr, Van; Franks, John; Kra, Bryna 4 2019 Distortion and the automorphism group of a shift. Zbl 1407.37022Cyr, Van; Franks, John; Kra, Bryna; Petite, Samuel 11 2018 Rotation numbers for \(S^2\) diffeomorphisms. Zbl 1385.37059Franks, John 1 2017 Triviality of some representations of \(\operatorname{MCG}(S_g)\) in \(\mathrm{GL}(n,\mathbb C)\), \(\operatorname{Diff}(S^2)\) and \(\operatorname{Homeo}(\mathbb T^2)\). Zbl 1353.20026Franks, John; Handel, Michael 5 2013 Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006Franks, John; Handel, Michael 1 2013 Entropy zero area preserving diffeomorphisms of \(S^{2}\). Zbl 1359.37039Franks, John; Handel, Michael 11 2012 Cantor’s other proofs that \(\mathbb{R}\) is uncountable. Zbl 1227.97009Franks, John 1 2010 Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326Franks, John; Handel, Michael 8 2009 A (terse) introduction to Lebesgue integration. Zbl 1177.28001Franks, John 2 2009 Fixed points of abelian actions on \(S^2\). Zbl 1143.37030Franks, John; Handel, Michael; Parwani, Kamlesh 11 2007 Fixed points of Abelian actions. Zbl 1130.37023Franks, John; Handel, Michael; Parwani, Kamlesh 9 2007 Distortion elements in group actions on surfaces. Zbl 1088.37009Franks, John; Handel, Michael 27 2006 Distortion in groups of circle and surface diffeomorphisms. Zbl 1162.37012Franks, John 5 2006 A Hölder continuous vector field tangent to many foliations. Zbl 1147.37313Bonatti, Christian; Franks, John 3 2004 Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028Franks, John; Handel, Michael 42 2003 Groups of homeomorphisms of one-manifolds. III: Nilpotent subgroups. Zbl 1037.37020Farb, Benson; Franks, John 33 2003 Regions of instability for non-twist maps. Zbl 1140.37331Franks, John; Le Calvez, Patrice 32 2003 Rotation numbers and instability sets. Zbl 1060.37036Franks, John 11 2003 Area preserving group actions on surfaces. Zbl 1036.37010Franks, John; Handel, Michael 7 2003 Group actions on one-manifolds. II: Extensions of Hölder’s Theorem. Zbl 1025.37024Farb, Benson; Franks, John 4 2003 Topological methods in dynamics. Zbl 1048.37001Franks, John; Misiurewicz, Michał 9 2002 Flows with knotted closed orbits. Zbl 1002.57015Franks, John; Sullivan, Michael C. 1 2002 Shift equivalence and the Conley index. Zbl 0956.37010Franks, John; Richeson, David 38 2000 The Conley index and non-existence of minimal homeomorphisms. Zbl 0948.37005Franks, John 10 1999 Pseudo-Anosov homeomorphisms with quadratic expansion. Zbl 0920.58035Franks, J.; Rykken, E. 4 1999 Area preserving homeomorphisms of open surfaces of genus zero. Zbl 0891.58033Franks, John 34 1996 Rotation vectors and fixed points of area preserving surface diffeomorphisms. Zbl 0862.58006Franks, John 20 1996 The rotation set and periodic points for torus homeomorphisms. Zbl 0991.37510Franks, John 11 1995 Rotation vectors for surface diffeomorphisms. Zbl 0865.58031Franks, John 2 1995 Cycles for disk homeomorphisms and thick trees. Zbl 0793.58029Franks, John; Misiurewicz, Michał 22 1993 Recurrent sets for planar homeomorphisms. Zbl 0806.57005Barge, Marcy; Franks, John 3 1993 Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms. Zbl 0766.53037Franks, John 101 1992 A new proof of the Brouwer plane translation theorem. Zbl 0767.58025Franks, John 22 1992 Periods of surface homeomorphisms. Zbl 0737.58048Franks, John; Llibre, Jaume 3 1991 Rotation sets of toral flows. Zbl 0701.57016Franks, John; Misiurewicz, Michał 48 1990 Automorphisms of one-sided subshifts of finite type. Zbl 0695.54029Boyle, Mike; Franks, John; Kitchens, Bruce 12 1990 Periodic points and rotation numbers for area preserving diffeomorphisms of the plane. Zbl 0721.58031Franks, John 5 1990 Realizing rotation vectors for torus homeomorphisms. Zbl 0664.58028Franks, John 58 1989 The Lefschetz function of a point. Zbl 0694.55004Franks, John; Fried, David 1 1989 Generalizations of the Poincaré-Birkhoff theorem. Zbl 0676.58037Franks, John 110 1988 Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023Franks, John 62 1988 Entropy and exponential growth of \(\pi _ 1\) in dimension two. Zbl 0644.58016Franks, John M.; Handel, Michael 4 1988 A variation on the Poincaré-Birkhoff theorem. Zbl 0679.58026Franks, John 3 1988 Braids and the Jones polynomial. Zbl 0647.57002Franks, John; Williams, R. F. 80 1987 The fixed points of an analytic self-mapping. Zbl 0611.30009Fisher, S. D.; Franks, John 8 1987 Nonsingular Smale flows on \(S^ 3\). Zbl 0609.58039Franks, John 40 1985 Entropy and knots. Zbl 0587.58038Franks, John; Williams, R. F. 18 1985 Period doubling and the Lefschetz formula. Zbl 0552.58025Franks, John 14 1985 Flow equivalence of subshifts of finite type. Zbl 0555.54026Franks, John 46 1984 Unremovable closed orbits. Zbl 0521.58047Asimov, D.; Franks, J. 9 1983 Symbolic dynamics in flows on three-manifolds. Zbl 0534.58032Franks, John 3 1983 Homology and dynamical systems. Zbl 0497.58018Franks, John M. 81 1982 Knots, links, and symbolic dynamics. Zbl 0469.58013Franks, John M. 23 1981 The existence of Morse-Smale diffeomorphisms. Zbl 0472.58013Franks, John; Shub, Michael 5 1981 An obstruction to the existence of certain dynamics in surface diffeomorphisms. Zbl 0502.58030Blanchard, Paul; Franks, John 4 1981 A \(C^ 2\) Kupka-Smale diffeomorphism of the disk with no sources or sinks. Zbl 0515.58027Franks, John; Young, Lai-Sang 2 1981 Anomalous Anosov flows. Zbl 0463.58021Franks, John; Williams, Bob 21 1980 The dynamical complexity of orientation reversing homeomorphisms of surfaces. Zbl 0481.58020Blanchard, Paul; Franks, John 13 1980 Symbolic dynamics, homology, and knots. Zbl 0461.58009Franks, John M. 2 1980 Morse-Smale flows and homotopy theory. Zbl 0426.58013Franks, John M. 24 1979 Manifolds of \(C^r\) mappings and applications to differentiable dynamical systems. Zbl 0452.58013Franks, John 4 1979 The periodic behavior of Morse-Smale diffeomorphisms. Zbl 0388.58013Franks, John; Narasimhan, Carolyn 9 1978 The periodic structure of non-singular Morse-Smale flows. Zbl 0403.58008Franks, John 9 1978 A reduced zeta function for diffeomorphisms. Zbl 0405.58037Franks, John M. 5 1978 Homology for zero-dimensional nonwandering sets. Zbl 0375.58018Bowen, Rufus; Franks, John 56 1977 Some smooth maps with infinitely many hyperbolic periodic points. Zbl 0346.58011Franks, John M. 18 1977 Invariant sets of hyperbolic toral automorphisms. Zbl 0373.58006Franks, John M. 14 1977 Constructing structurally stable diffeomorphisms. Zbl 0366.58007Franks, John M. 6 1977 Non-singular flows on \(S^3\) with hyperbolic chain-recurrent set. Zbl 0387.58006Franks, John M. 2 1977 Holonomy invariant cochains for foliations. Zbl 0346.57008Franks, John M. 1 1977 The periodic points of maps of the disk and the interval. Zbl 0346.58010Bowen, Rufus; Franks, John 77 1976 A quasi-Anosov diffeomorphism that is not Anosov. Zbl 0347.58008Franks, John; Robinson, Clark 31 1976 Two foliations in the plane. Zbl 0334.57015Franks, John M. 2 1976 Time dependent stable diffeomorphisms. Zbl 0275.58011Franks, John M. 7 1974 Absolutely structurally stable diffeomorphisms. Zbl 0253.58008Franks, John 3 1973 Differentiably \(\Omega\)-stable diffeomorphisms. Zbl 0232.58006Franks, John 7 1972 Necessary conditions for stability of diffeomorphisms. Zbl 0219.58005Franks, J. 118 1971 Anosov diffeomorphisms. Zbl 0207.54304Franks, John 92 1970 Anosov diffeomorphisms on tori. Zbl 0191.21604Franks, John 45 1969 all cited Publications top 5 cited Publications all top 5 Cited by 1,125 Authors 26 Franks, John M. 24 Llibre, Jaume 18 de Rezende, Ketty Abaroa 18 Tal, Fábio Armando 17 Grines, Vyacheslav Zigmundovich 17 Le Calvez, Patrice 17 Lee, Manseob 17 Pochinka, Olga Vital’evna 14 Sirvent, Víctor F. 13 Koropecki, Andres 13 Matsumoto, Kengo 12 Duan, Huagui 11 Addas-Zanata, Salvador 11 Gan, Shaobo 11 Oertel-Jäger, Tobias Hendrik 11 Zhuzhoma, Evgeniĭ Viktorovich 10 Bonatti, Christian 10 Liu, Hui 10 Long, Yiming 9 Bertolim, Maria Alice 9 Boyland, Philip L. 9 García Guirao, Juan Luis 9 Ginzburg, Viktor L’vovich 9 Gürel, Basak Zehra 9 Hammerlindl, Andy 9 Handel, Michael 9 Mazzucchelli, Marco 9 Medvedev, Vladislav Sergeevich 9 Navas, Andrés 9 Ruiz del Portal, Francisco Romero 9 Sakai, Kazuhiro 9 Stoimenow, Alexander 9 Varandas, Paulo 8 Koberda, Thomas 8 Morales, Carlos Arnoldo 8 Potrie, Rafael 8 Salomão, Pedro Antonio Santoro 8 Sullivan, Michael C. 8 Wagoner, John B. 8 Zanolin, Fabio 7 Carlsen, Toke Meier 7 Crovisier, Sylvain 7 Guelman, Nancy 7 Kim, Sang-Hyun 7 Le Roux, Frédéric 7 Lee, Keonhee 7 Passeggi, Alejandro 7 Qian, Dingbian 7 Tresser, Charles 7 Wang, Jian 6 Alsedà, Lluís 6 Arbieto, Alexander 6 Artigue, Alfonso 6 Béguin, François 6 Eilers, Søren 6 Gambaudo, Jean-Marc 6 MacKay, Robert Sinclair 6 Mrozek, Marian 6 Pollicott, Mark 6 Sambarino, Martín 6 Wen, Lan 5 Andres, Jan 5 Barbot, Thierry 5 Batterson, Steve 5 Brown, Aaron W. 5 Fenley, Sérgio R. 5 Fried, David 5 Hryniewicz, Umberto L. 5 Hurley, Mike 5 Hurtado-Salazar, Sebastian 5 Liang, Zaitao 5 Liousse, Isabelle 5 Mann, Kathryn 5 Nozdrinova, Elena V. 5 Pujals, Enrique Ramiro 5 Ribón, Javier 5 Salazar, José Miguel 5 Sumi, Naoya 5 Swanson, Richard C. 5 Ures, Raúl 5 Vieitez, José L. 5 Xu, Disheng 5 Yu, Bin 4 Asselle, Luca 4 Avila, Artur 4 Benedetti, Gabriele 4 Berrizbeitia, Pedro 4 Block, Louis Stuart 4 Boyle, Mike 4 Castro, Armando 4 Chen, Lei 4 Cornea, Octav 4 Damjanović, Danijela 4 Diao, Yuanan 4 Farrell, F. Thomas 4 Fiedler, Bernold 4 Firmo, Sebastião 4 Fisher, David Michael 4 Franco, Nuno 4 Fridman, Buma L. ...and 1,025 more Authors all top 5 Cited in 214 Serials 109 Ergodic Theory and Dynamical Systems 80 Proceedings of the American Mathematical Society 80 Transactions of the American Mathematical Society 64 Topology and its Applications 37 Inventiones Mathematicae 35 Discrete and Continuous Dynamical Systems 32 Journal of Differential Equations 27 Mathematische Zeitschrift 26 Geometry & Topology 18 Functional Analysis and its Applications 18 Physica D 17 Israel Journal of Mathematics 17 Advances in Mathematics 17 Qualitative Theory of Dynamical Systems 17 Journal of Fixed Point Theory and Applications 15 Algebraic & Geometric Topology 13 Communications in Mathematical Physics 13 Duke Mathematical Journal 13 Journal of Dynamics and Differential Equations 13 Journal of Knot Theory and its Ramifications 13 Journal of Difference Equations and Applications 13 Journal of Modern Dynamics 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Nonlinearity 11 Chaos, Solitons and Fractals 11 Mathematische Annalen 11 Bulletin of the American Mathematical Society. New Series 11 Acta Mathematica Sinica. English Series 11 Dynamical Systems 10 Annales de l’Institut Fourier 9 Geometriae Dedicata 9 Annals of Mathematics. Second Series 8 Journal of Mathematical Analysis and Applications 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Compositio Mathematica 8 Journal of the London Mathematical Society. Second Series 8 Regular and Chaotic Dynamics 7 Bulletin of the Australian Mathematical Society 7 Publications Mathématiques 7 Journal of Functional Analysis 7 Journal of Pure and Applied Algebra 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Geometric and Functional Analysis. GAFA 7 Chaos 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Proceedings of the Steklov Institute of Mathematics 6 Acta Mechanica 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of Elasticity 6 Journal of Mathematical Sciences (New York) 6 Journal of Dynamical and Control Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematical Notes 5 Journal of the Korean Mathematical Society 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of the American Mathematical Society 5 International Journal of Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Advanced Nonlinear Studies 5 SIAM Journal on Applied Dynamical Systems 5 Journal of Topology and Analysis 4 Archive for Rational Mechanics and Analysis 4 International Journal of Solids and Structures 4 Journal of Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Journal of Algebra 4 Journal of the Mathematical Society of Japan 4 Monatshefte für Mathematik 4 Acta Applicandae Mathematicae 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 4 Advances in Difference Equations 4 Journal of Topology 4 Science China. Mathematics 4 Open Mathematics 3 Journal of Statistical Physics 3 Ukrainian Mathematical Journal 3 The Mathematical Intelligencer 3 Acta Mathematica 3 Archiv der Mathematik 3 Colloquium Mathematicum 3 Journal of Soviet Mathematics 3 Michigan Mathematical Journal 3 Pacific Journal of Mathematics 3 Science in China. Series A 3 Linear Algebra and its Applications 3 Computational and Applied Mathematics 3 Electronic Research Announcements of the American Mathematical Society 3 Sbornik: Mathematics 3 Communications in Contemporary Mathematics 3 Lobachevskii Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Oberwolfach Reports 3 Groups, Geometry, and Dynamics 2 Discrete Mathematics 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys ...and 114 more Serials all top 5 Cited in 56 Fields 961 Dynamical systems and ergodic theory (37-XX) 293 Manifolds and cell complexes (57-XX) 133 Differential geometry (53-XX) 133 General topology (54-XX) 109 Global analysis, analysis on manifolds (58-XX) 76 Group theory and generalizations (20-XX) 73 Ordinary differential equations (34-XX) 58 Algebraic topology (55-XX) 49 Topological groups, Lie groups (22-XX) 43 Functional analysis (46-XX) 33 Measure and integration (28-XX) 32 Mechanics of particles and systems (70-XX) 25 Combinatorics (05-XX) 25 Mechanics of deformable solids (74-XX) 20 Several complex variables and analytic spaces (32-XX) 20 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 15 Operator theory (47-XX) 14 Number theory (11-XX) 13 Associative rings and algebras (16-XX) 12 Probability theory and stochastic processes (60-XX) 12 Computer science (68-XX) 10 Algebraic geometry (14-XX) 10 Category theory; homological algebra (18-XX) 10 Functions of a complex variable (30-XX) 9 Real functions (26-XX) 9 Biology and other natural sciences (92-XX) 8 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Nonassociative rings and algebras (17-XX) 8 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 6 \(K\)-theory (19-XX) 6 Quantum theory (81-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year