Edit Profile (opens in new tab) Mallet-Paret, John Joseph Compute Distance To: Compute Author ID: mallet-paret.john-joseph Published as: Mallet-Paret, John; Mallet-Paret, J.; Mallet-Paret, J. J.; Maller-Paret, John more...less External Links: MGP · dblp Documents Indexed: 84 Publications since 1975 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 33 Co-Authors with 72 Joint Publications 1,530 Co-Co-Authors all top 5 Co-Authors 14 single-authored 21 Chow, Shui-Nee 21 Nussbaum, Roger David 11 Yorke, James Alan 7 Sell, George Roger 3 Hale, Jack Kenneth 3 Van Vleck, Erik S. 2 Alligood, Kathleen T. 2 Fiedler, Bernold 2 Lu, Kening 2 Shao, Zhoude 2 Smith, Hal Leslie 1 Angenent, Sigurd Bernardus 1 Aronson, Donald G. 1 Atay, Fatihcan M. 1 Brunovský, Pavol 1 Cahn, John W. 1 Carr, Jack 1 Chernoff, Paul R. 1 Childs, Gary 1 Diekmann, Odo 1 Freedman, Herbert Irving 1 Golubitsky, Martin A. 1 Guckenheimer, John M. 1 Hoffman, Aaron 1 Howard, Louis N. 1 Kaplan, James L. 1 Kopell, Nancy J. 1 Lanford, Oscar E. III 1 Li, Tien-Yien 1 Lin, Xiaobiao 1 Marsden, Jerrold Eldon 1 McCracken, Marjorie F. 1 Oster, George F. 1 Paraskevopulos, Panagiotis 1 Peletier, Lambertus Adrianus 1 Ruiz, O. 1 Schecter, Stephen 1 Schmidt, Dieter S. 1 Shen, Wenxian 1 Smale, Steve 1 van Gils, Stephan A. 1 Verduyn Lunel, Sjoerd M. 1 Wu, Jianhong 1 Yi, Yingfei 1 Yorke, Ellen D. 1 Zhu, Huaiping all top 5 Serials 16 Journal of Differential Equations 10 Journal of Dynamics and Differential Equations 5 Archive for Rational Mechanics and Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal für die Reine und Angewandte Mathematik 2 Quarterly of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 Journal of Fixed Point Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Nonlinearity 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Časopis Pro Pěstování Matematiky 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Japan Journal of Applied Mathematics 1 Journal of the American Mathematical Society 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Random & Computational Dynamics 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the American Mathematical Society 1 Applied Mathematical Sciences 1 Fields Institute Communications all top 5 Fields 51 Ordinary differential equations (34-XX) 23 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 4 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 2,867 times in 1,792 Documents Cited by ▼ Year ▼ The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007Marsden, J. E.; McCracken, M. 491 1976 Traveling waves in lattice dynamical systems. Zbl 0911.34050Chow, Shui-Nee; Mallet-Paret, John; Shen, Wenxian 191 1998 The global structure of traveling waves in spatially discrete dynamical systems. Zbl 0921.34046Mallet-Paret, John 143 1999 The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. Zbl 0849.34056Mallet-Paret, John; Sell, George R. 133 1996 The Fredholm alternative for functional-differential equations of mixed type. Zbl 0927.34049Mallet-Paret, John 126 1999 An example of bifurcation to homoclinic orbits. Zbl 0439.34035Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 112 1980 Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 109 1978 Integral averaging and bifurcation. Zbl 0367.34033Chow, Shui-Nee; Mallet-Paret, John 107 1977 Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation. Zbl 0617.34071Mallet-Paret, John; Nussbaum, Roger D. 106 1986 Inertial manifolds for reaction diffusion equations in higher space dimensions. Zbl 0674.35049Mallet-Paret, John; Sell, George R. 94 1988 The Poincaré-Bendixson theorem for monotone cyclic feedback systems. Zbl 0712.34060Mallet-Paret, John; Smith, Hal L. 93 1990 Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. Zbl 0849.34055Mallet-Paret, John; Sell, George R. 85 1996 Traveling wave solutions for systems of ODEs on a two-dimensional spatial lattice. Zbl 0917.34052Cahn, John W.; Mallet-Paret, John; van Vleck, Erik S. 83 1999 Pattern formation and spatial chaos in spatially discrete evolution equations. Zbl 0883.58020Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 78 1996 Morse decompositions for delay-differential equations. Zbl 0648.34082Mallet-Paret, John 76 1988 Periodic solutions for functional differential equations with multiple state-dependent time lags. Zbl 0808.34080Mallet-Paret, John; Nussbaum, Roger D.; Paraskevopulos, Panagiotis 75 1994 The Fuller index and global Hopf bifurcation. Zbl 0369.34020Chow, Shui-Nee; Mallet-Paret, John 67 1978 Negatively invariant sets of compact maps and an extension of a theorem of Cartwright. Zbl 0354.34072Mallet-Paret, John 64 1976 Stable transition layers in a semilinear boundary value problem. Zbl 0634.35041Angenent, S. B.; Mallet-Paret, John; Peletier, L. A. 56 1987 Boundary layer phenomena for differential-delay equations with state- dependent time lags. I. Zbl 0763.34056Mallet-Paret, John; Nussbaum, Roger D. 55 1992 A differential-delay equation arising in optics and physiology. Zbl 0676.34043Mallet-Paret, John; Nussbaum, Roger D. 54 1989 Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031Mallet-Paret, John; Nussbaum, Roger D. 54 2002 The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018Kaplan, James L.; Mallet-Paret, John; Yorke, James A. 49 1984 A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Zbl 0704.35070Fiedler, Bernold; Mallet-Paret, John 47 1989 Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index. Zbl 1206.47044Mallet-Paret, John; Nussbaum, Roger D. 45 2010 Dynamics of lattice differential equations. Zbl 1005.39504Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 40 1996 Snakes: oriented families of periodic orbits, their sources, sinks, and continuation. Zbl 0487.34038Mallet-Paret, John; Yorke, James A. 39 1982 Applications of generic bifurcation. I. Zbl 0328.47036Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 38 1975 Boundary layer phenomena for differential-delay equations with state dependent time lags. II. Zbl 0854.34072Mallet-Paret, John; Nussbaum, Roger D. 35 1996 Traveling waves in spatially discrete dynamical systems of diffusive type. Zbl 1083.37058Mallet-Paret, John 35 2003 Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 32 1978 Boundary layer phenomena for differential-delay equations with state-dependent time lags: III. Zbl 1035.34089Mallet-Paret, John; Nussbaum, Roger D. 30 2003 Stability of periodic solutions of state-dependent delay-differential equations. Zbl 1250.34057Mallet-Paret, John; Nussbaum, Roger D. 28 2011 Mixed-type functional differential equations, holomorphic factorization, and applications. Zbl 1120.34048Mallet-Paret, John; Verduyn Lunel, Sjoerd 25 2005 Ponies on a merry-go-round in large arrays of Josephson junctions. Zbl 0732.58031Aronson, D. G.; Golubitsky, Martin; Mallet-Paret, John 25 1991 Applications of generic bifurcation. II. Zbl 0346.47050Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 24 1976 Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations. Zbl 1227.34072Mallet-Paret, John; Nussbaum, Roger D. 23 2011 Universality of crystallographic pinning. Zbl 1216.34009Hoffman, Aaron; Mallet-Paret, John 20 2010 Stable periodic solutions for the hypercycle system. Zbl 0729.34032Hofbauer, J.; Mallet-Paret, J.; Smith, H. L. 20 1991 Floquet theory for parabolic differential equations. Zbl 0804.35045Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 20 1994 Floquet bundles for scalar parabolic equations. Zbl 0822.35057Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 19 1995 Inequivalent measures of noncompactness. Zbl 1234.47041Mallet-Paret, John; Nussbaum, Roger D. 17 2011 Spatial patterns, spatial chaos, and traveling waves in lattice differential equations. Zbl 0980.37031Mallet-Paret, John 17 1996 Connections between Morse sets for delay-differential equations. Zbl 0659.34077Fiedler, Bernold; Maller-Paret, John 17 1989 Inequivalent measures of noncompactness and the radius of the essential spectrum. Zbl 1219.47073Mallet-Paret, John; Nussbaum, Roger D. 16 2011 Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Zbl 0684.34071Chow, Shui-Nee; Lin, Xiao-Biao; Mallet-Paret, John 16 1989 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 Hopf bifurcation and symmetry: travelling and standing waves on the circle. Zbl 0629.35012Van Gils, Stephan A.; Mallet-Paret, John 15 1986 Generic periodic solutions of functional differential equations. Zbl 0358.34078Mallet-Paret, John 15 1977 A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 14 1983 Obstructions to the existence of normally hyperbolic inertial manifolds. Zbl 0802.35085Mallet-Paret, John; Sell, George R.; Shao, Zhoude 14 1993 A homotopy method for locating all zeros of a system of polynomials. Zbl 0427.65034Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 13 1979 Singularly perturbed delay-differential equations. Zbl 0551.34036Chow, Shui-Nee; Mallet-Paret, John 12 1983 Families of periodic orbits: local continuability does not imply global continuability. Zbl 0487.58022Alligood, Kathleen T.; Mallet-Paret, John; Yorke, James A. 12 1981 An index for the global continuation of relatively isolated sets of periodic orbits. Zbl 0542.58020Alligood, Kathleen T.; Mallet-Paret, J.; Yorke, J. A. 12 1983 Analyticity and nonanalyticity of solutions of delay-differential equations. Zbl 1320.34093Mallet-Paret, John; Nussbaum, Roger D. 11 2014 Tensor products, positive linear operators, and delay-differential equations. Zbl 1287.34053Mallet-Paret, John; Nussbaum, Roger D. 10 2013 A bifurcation gap for a singularly perturbed delay equation. Zbl 0621.34064Mallet-Paret, John; Nussbaum, Roger D. 8 1986 Generic properties of retarded functional differential equations. Zbl 0325.34081Mallet-Paret, John 8 1975 Asymptotic fixed point theory and the beer barrel theorem. Zbl 1189.47056Mallet-Paret, John; Nussbaum, Roger D. 7 2008 Global continuation and complicated trajectories for periodic solutions of a differential-delay equation. Zbl 0618.34061Mallet-Paret, John; Nussbaum, Roger D. 6 1986 Differential systems with feedback: Time discretizations and Lyapunov functions. Zbl 1044.65059Mallet-Paret, John; Sell, George R. 5 2003 A basis theorem for a class of max-plus eigenproblems. Zbl 1049.47055Mallet-Paret, John; Nussbaum, Roger D. 5 2003 The principle of spatial averaging and inertial manifolds for reaction- diffusion equations. Zbl 0631.35047Mallet-Paret, John; Sell, George R. 5 1987 Lorenz-like chaos in a partial differential equation for a heated fluid loop. Zbl 0633.76048Yorke, James A.; Yorke, Ellen D.; Mallet-Paret, John 5 1987 Buckling of cylindrical shells with small curvature. Zbl 0402.73043Mallet-Paret, John 5 1977 Switchings of optimal controls and the equation \(y^{(4)}+| y| ^{\alpha}\,sign\,y=0\), \(0<\alpha <1\). Zbl 0583.49011Brunovský, Pavol; Mallet-Paret, John 4 1985 Stability and oscillation in monotone cyclic systems of differential equations. Zbl 0930.34024Mallet-Paret, John 4 1996 Morse decompositions and global continuation of periodic solutions for singularly perturbed delay equations. Zbl 0562.34060Mallet-Paret, John 3 1983 Buckling of cylindrical shells with small curvature. Zbl 0534.73041Mallet-Paret, John 3 1977 Multiple transition layers in a singularly perturbed differential-delay equation. Zbl 0795.34044Mallet-Paret, John; Nussbaum, Roger D. 3 1993 Two types of Hopf bifurcation points: Sources and sinks of families of periodic orbits. Zbl 0485.58014Mallet-Paret, John; Yorke, James A. 3 1980 Regularity results for real analytic homotopies. Zbl 0593.65037Li, Tien-Yien; Mallet-Paret, John; Yorke, James A. 2 1985 Modeling reflex asymmetries with implicit delay differential equations. Zbl 0941.92004Atay, Fatihcan M.; Mallet-Paret, John 2 1998 Obituary of Jack K. Hale. Zbl 1194.01079Chow, Shui-Nee; Mallet-Paret, John 1 2010 The parameterized obstacle problem. Zbl 0454.49005Chow, Shui-Nee; Mallet-Paret, John 1 1980 Infinite dimensional dynamical systems. Collected papers of the international conference, Toronto, Canada, September 24–28, 2008. Zbl 1253.37006 1 2012 Intricate structure of the analyticity set for solutions of a class of integral equations. Zbl 1436.47013Mallet-Paret, John; Nussbaum, Roger D. 1 2019 Smooth homotopies for finding zeros of entire functions. Zbl 0514.55004Carr, Jack; Mallet-Paret, John 1 1983 Generic bifurcation in the obstacle problem. Zbl 0425.35013Mallet-Paret, John 1 1980 Generic unfoldings and normal forms of some singularities arising in the obstacle problem. Zbl 0425.35014Mallet-Paret, John 1 1979 Asymptotic homogenization for delay-differential equations and a question of analyticity. Zbl 1442.34102Mallet-Paret, John; Nussbaum, Roger D. 1 2020 Asymptotic homogenization for delay-differential equations and a question of analyticity. Zbl 1442.34102Mallet-Paret, John; Nussbaum, Roger D. 1 2020 Intricate structure of the analyticity set for solutions of a class of integral equations. Zbl 1436.47013Mallet-Paret, John; Nussbaum, Roger D. 1 2019 Analyticity and nonanalyticity of solutions of delay-differential equations. Zbl 1320.34093Mallet-Paret, John; Nussbaum, Roger D. 11 2014 Tensor products, positive linear operators, and delay-differential equations. Zbl 1287.34053Mallet-Paret, John; Nussbaum, Roger D. 10 2013 Infinite dimensional dynamical systems. Collected papers of the international conference, Toronto, Canada, September 24–28, 2008. Zbl 1253.37006 1 2012 Stability of periodic solutions of state-dependent delay-differential equations. Zbl 1250.34057Mallet-Paret, John; Nussbaum, Roger D. 28 2011 Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations. Zbl 1227.34072Mallet-Paret, John; Nussbaum, Roger D. 23 2011 Inequivalent measures of noncompactness. Zbl 1234.47041Mallet-Paret, John; Nussbaum, Roger D. 17 2011 Inequivalent measures of noncompactness and the radius of the essential spectrum. Zbl 1219.47073Mallet-Paret, John; Nussbaum, Roger D. 16 2011 Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index. Zbl 1206.47044Mallet-Paret, John; Nussbaum, Roger D. 45 2010 Universality of crystallographic pinning. Zbl 1216.34009Hoffman, Aaron; Mallet-Paret, John 20 2010 Obituary of Jack K. Hale. Zbl 1194.01079Chow, Shui-Nee; Mallet-Paret, John 1 2010 Asymptotic fixed point theory and the beer barrel theorem. Zbl 1189.47056Mallet-Paret, John; Nussbaum, Roger D. 7 2008 Mixed-type functional differential equations, holomorphic factorization, and applications. Zbl 1120.34048Mallet-Paret, John; Verduyn Lunel, Sjoerd 25 2005 Traveling waves in spatially discrete dynamical systems of diffusive type. Zbl 1083.37058Mallet-Paret, John 35 2003 Boundary layer phenomena for differential-delay equations with state-dependent time lags: III. Zbl 1035.34089Mallet-Paret, John; Nussbaum, Roger D. 30 2003 Differential systems with feedback: Time discretizations and Lyapunov functions. Zbl 1044.65059Mallet-Paret, John; Sell, George R. 5 2003 A basis theorem for a class of max-plus eigenproblems. Zbl 1049.47055Mallet-Paret, John; Nussbaum, Roger D. 5 2003 Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031Mallet-Paret, John; Nussbaum, Roger D. 54 2002 The global structure of traveling waves in spatially discrete dynamical systems. Zbl 0921.34046Mallet-Paret, John 143 1999 The Fredholm alternative for functional-differential equations of mixed type. Zbl 0927.34049Mallet-Paret, John 126 1999 Traveling wave solutions for systems of ODEs on a two-dimensional spatial lattice. Zbl 0917.34052Cahn, John W.; Mallet-Paret, John; van Vleck, Erik S. 83 1999 Traveling waves in lattice dynamical systems. Zbl 0911.34050Chow, Shui-Nee; Mallet-Paret, John; Shen, Wenxian 191 1998 Modeling reflex asymmetries with implicit delay differential equations. Zbl 0941.92004Atay, Fatihcan M.; Mallet-Paret, John 2 1998 The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay. Zbl 0849.34056Mallet-Paret, John; Sell, George R. 133 1996 Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. Zbl 0849.34055Mallet-Paret, John; Sell, George R. 85 1996 Pattern formation and spatial chaos in spatially discrete evolution equations. Zbl 0883.58020Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 78 1996 Dynamics of lattice differential equations. Zbl 1005.39504Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 40 1996 Boundary layer phenomena for differential-delay equations with state dependent time lags. II. Zbl 0854.34072Mallet-Paret, John; Nussbaum, Roger D. 35 1996 Spatial patterns, spatial chaos, and traveling waves in lattice differential equations. Zbl 0980.37031Mallet-Paret, John 17 1996 Stability and oscillation in monotone cyclic systems of differential equations. Zbl 0930.34024Mallet-Paret, John 4 1996 Floquet bundles for scalar parabolic equations. Zbl 0822.35057Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 19 1995 Periodic solutions for functional differential equations with multiple state-dependent time lags. Zbl 0808.34080Mallet-Paret, John; Nussbaum, Roger D.; Paraskevopulos, Panagiotis 75 1994 Floquet theory for parabolic differential equations. Zbl 0804.35045Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 20 1994 Obstructions to the existence of normally hyperbolic inertial manifolds. Zbl 0802.35085Mallet-Paret, John; Sell, George R.; Shao, Zhoude 14 1993 Multiple transition layers in a singularly perturbed differential-delay equation. Zbl 0795.34044Mallet-Paret, John; Nussbaum, Roger D. 3 1993 Boundary layer phenomena for differential-delay equations with state- dependent time lags. I. Zbl 0763.34056Mallet-Paret, John; Nussbaum, Roger D. 55 1992 Ponies on a merry-go-round in large arrays of Josephson junctions. Zbl 0732.58031Aronson, D. G.; Golubitsky, Martin; Mallet-Paret, John 25 1991 Stable periodic solutions for the hypercycle system. Zbl 0729.34032Hofbauer, J.; Mallet-Paret, J.; Smith, H. L. 20 1991 The Poincaré-Bendixson theorem for monotone cyclic feedback systems. Zbl 0712.34060Mallet-Paret, John; Smith, Hal L. 93 1990 A differential-delay equation arising in optics and physiology. Zbl 0676.34043Mallet-Paret, John; Nussbaum, Roger D. 54 1989 A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Zbl 0704.35070Fiedler, Bernold; Mallet-Paret, John 47 1989 Connections between Morse sets for delay-differential equations. Zbl 0659.34077Fiedler, Bernold; Maller-Paret, John 17 1989 Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Zbl 0684.34071Chow, Shui-Nee; Lin, Xiao-Biao; Mallet-Paret, John 16 1989 Inertial manifolds for reaction diffusion equations in higher space dimensions. Zbl 0674.35049Mallet-Paret, John; Sell, George R. 94 1988 Morse decompositions for delay-differential equations. Zbl 0648.34082Mallet-Paret, John 76 1988 Stable transition layers in a semilinear boundary value problem. Zbl 0634.35041Angenent, S. B.; Mallet-Paret, John; Peletier, L. A. 56 1987 The principle of spatial averaging and inertial manifolds for reaction- diffusion equations. Zbl 0631.35047Mallet-Paret, John; Sell, George R. 5 1987 Lorenz-like chaos in a partial differential equation for a heated fluid loop. Zbl 0633.76048Yorke, James A.; Yorke, Ellen D.; Mallet-Paret, John 5 1987 Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation. Zbl 0617.34071Mallet-Paret, John; Nussbaum, Roger D. 106 1986 Hopf bifurcation and symmetry: travelling and standing waves on the circle. Zbl 0629.35012Van Gils, Stephan A.; Mallet-Paret, John 15 1986 A bifurcation gap for a singularly perturbed delay equation. Zbl 0621.34064Mallet-Paret, John; Nussbaum, Roger D. 8 1986 Global continuation and complicated trajectories for periodic solutions of a differential-delay equation. Zbl 0618.34061Mallet-Paret, John; Nussbaum, Roger D. 6 1986 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 Switchings of optimal controls and the equation \(y^{(4)}+| y| ^{\alpha}\,sign\,y=0\), \(0<\alpha <1\). Zbl 0583.49011Brunovský, Pavol; Mallet-Paret, John 4 1985 Regularity results for real analytic homotopies. Zbl 0593.65037Li, Tien-Yien; Mallet-Paret, John; Yorke, James A. 2 1985 The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018Kaplan, James L.; Mallet-Paret, John; Yorke, James A. 49 1984 A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 14 1983 Singularly perturbed delay-differential equations. Zbl 0551.34036Chow, Shui-Nee; Mallet-Paret, John 12 1983 An index for the global continuation of relatively isolated sets of periodic orbits. Zbl 0542.58020Alligood, Kathleen T.; Mallet-Paret, J.; Yorke, J. A. 12 1983 Morse decompositions and global continuation of periodic solutions for singularly perturbed delay equations. Zbl 0562.34060Mallet-Paret, John 3 1983 Smooth homotopies for finding zeros of entire functions. Zbl 0514.55004Carr, Jack; Mallet-Paret, John 1 1983 Snakes: oriented families of periodic orbits, their sources, sinks, and continuation. Zbl 0487.34038Mallet-Paret, John; Yorke, James A. 39 1982 Families of periodic orbits: local continuability does not imply global continuability. Zbl 0487.58022Alligood, Kathleen T.; Mallet-Paret, John; Yorke, James A. 12 1981 An example of bifurcation to homoclinic orbits. Zbl 0439.34035Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 112 1980 Two types of Hopf bifurcation points: Sources and sinks of families of periodic orbits. Zbl 0485.58014Mallet-Paret, John; Yorke, James A. 3 1980 The parameterized obstacle problem. Zbl 0454.49005Chow, Shui-Nee; Mallet-Paret, John 1 1980 Generic bifurcation in the obstacle problem. Zbl 0425.35013Mallet-Paret, John 1 1980 A homotopy method for locating all zeros of a system of polynomials. Zbl 0427.65034Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 13 1979 Generic unfoldings and normal forms of some singularities arising in the obstacle problem. Zbl 0425.35014Mallet-Paret, John 1 1979 Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 109 1978 The Fuller index and global Hopf bifurcation. Zbl 0369.34020Chow, Shui-Nee; Mallet-Paret, John 67 1978 Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 32 1978 Integral averaging and bifurcation. Zbl 0367.34033Chow, Shui-Nee; Mallet-Paret, John 107 1977 Generic periodic solutions of functional differential equations. Zbl 0358.34078Mallet-Paret, John 15 1977 Buckling of cylindrical shells with small curvature. Zbl 0402.73043Mallet-Paret, John 5 1977 Buckling of cylindrical shells with small curvature. Zbl 0534.73041Mallet-Paret, John 3 1977 The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007Marsden, J. E.; McCracken, M. 491 1976 Negatively invariant sets of compact maps and an extension of a theorem of Cartwright. Zbl 0354.34072Mallet-Paret, John 64 1976 Applications of generic bifurcation. II. Zbl 0346.47050Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 24 1976 Applications of generic bifurcation. I. Zbl 0328.47036Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 38 1975 Generic properties of retarded functional differential equations. Zbl 0325.34081Mallet-Paret, John 8 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,875 Authors 33 Wu, Jianhong 30 Mallet-Paret, John Joseph 25 Nussbaum, Roger David 23 Hupkes, Hermen Jan 22 Trofimchuk, Sergei I. 22 Walther, Hans-Otto 21 Hsu, Cheng-Hsiung 19 Fiedler, Bernold 18 Shen, Wenxian 18 Van Vleck, Erik S. 17 Hale, Jack Kenneth 16 Lin, Song-Sun 16 Thieme, Horst R. 16 Yorke, James Alan 15 Yu, Bo 15 Zhao, Caidi 15 Zhou, Shengfan 14 Smith, Hal Leslie 14 Wang, Bixiang 13 Ban, Jungchao 13 Lu, Kening 13 Temam, Roger Meyer 12 Krisztin, Tibor 12 Rezunenko, Oleksandr V”yacheslavovych 12 Watson, Layne Terry 11 Rocha, Carlos 11 Stehlík, Petr 11 Wang, Yi 10 Chow, Shui-Nee 10 Gedeon, Tomáš 10 Guo, Jong-Shenq 10 Han, Xiaoying 10 Kloeden, Peter Eris 10 Krawcewicz, Wieslaw Z. 10 Lin, Xiaobiao 10 Mischaikow, Konstantin 10 Sell, George Roger 10 Su, Menglong 9 Abdallah, Ahmed Y. 9 Guo, Shangjiang 9 Ivanov, Anatoli F. 9 Kostianko, Anna 9 Li, Yong 9 Liz, Eduardo 9 Zhang, Weinian 8 Humphries, Antony R. 8 Röst, Gergely 8 Ruan, Shigui 8 Titi, Edriss Saleh 8 Wang, Yejuan 8 Wei, Junjie 8 Zelik, Sergey V. 7 Caraballo Garrido, Tomás 7 Cheng, Cuiping 7 Ford, Neville J. 7 Hasík, Karel 7 Huang, Wenzhang 7 Lessard, Jean-Philippe 7 Li, Wan-Tong 7 Lin, Zhenghua 7 Lumb, Patricia M. 7 Peperko, Aljoša 7 Qin, Wenxin 7 Ruiz-Herrera, Alfonso 7 Song, Yongli 7 Xu, Zhaoquan 7 Zhou, Dun 7 Zhu, Zhichuan 7 Zou, Xingfu 6 Balanov, Zalman I. 6 Chang, Chih-Hung 6 Chen, Yuming 6 Chueshov, Igor’ Dmitrievich 6 Fan, Xiaona 6 Faria, Teresa 6 Fečkan, Michal 6 Guo, Zhiming 6 Holmes, Philip J. 6 Hu, Wen-Guei 6 Langa, Jose’ Antonio 6 Lima, Pedro Miguel 6 Ma, Shiwang 6 Pituk, Mihály 6 Stewart, Ian Nicholas 6 Vas, Gabriella 6 Weng, Peixuan 6 Wu, Chin-Chin 6 Wu, Shiliang 6 Xiao, Huafeng 6 Yang, Tzi-Sheng 6 Yu, Jian-She 5 Alexander, James Crew 5 Alligood, Kathleen T. 5 Bates, Peter W. 5 Boĭchuk, Oleksandr Andriĭovych 5 Bratus, Alexander S. 5 de la Llave, Rafael 5 Diblík, Josef 5 Fernandez, Bastien 5 Foiaș, Ciprian ...and 1,775 more Authors all top 5 Cited in 275 Serials 257 Journal of Differential Equations 117 Journal of Dynamics and Differential Equations 87 Journal of Mathematical Analysis and Applications 65 Physica D 56 Nonlinear Analysis. 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New Series ...and 175 more Serials all top 5 Cited in 51 Fields 897 Ordinary differential equations (34-XX) 547 Dynamical systems and ergodic theory (37-XX) 510 Partial differential equations (35-XX) 333 Biology and other natural sciences (92-XX) 183 Numerical analysis (65-XX) 177 Operator theory (47-XX) 68 Systems theory; control (93-XX) 66 Difference and functional equations (39-XX) 60 Global analysis, analysis on manifolds (58-XX) 53 Probability theory and stochastic processes (60-XX) 53 Fluid mechanics (76-XX) 44 Operations research, mathematical programming (90-XX) 42 Measure and integration (28-XX) 34 Mechanics of deformable solids (74-XX) 32 Real functions (26-XX) 29 Mechanics of particles and systems (70-XX) 28 Integral equations (45-XX) 26 Algebraic topology (55-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 General topology (54-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Functional analysis (46-XX) 17 Computer science (68-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Combinatorics (05-XX) 10 Manifolds and cell complexes (57-XX) 9 Optics, electromagnetic theory (78-XX) 7 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Field theory and polynomials (12-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Approximations and expansions (41-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 2 Topological groups, Lie groups (22-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year