Konstantin Mischaikow - Publications

Affiliations: 
Georgia Institute of Technology, Atlanta, GA 
Area:
Mathematics

97 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2021 Diegmiller R, Zhang L, Gameiro M, Barr J, Imran Alsous J, Schedl P, Shvartsman SY, Mischaikow K. Mapping parameter spaces of biological switches. Plos Computational Biology. 17: e1008711. PMID 33556054 DOI: 10.1371/journal.pcbi.1008711  0.44
2016 Harker S, Kokubu H, Mischaikow K, Pilarczyk P. Inducing a map on homology from a correspondence Proceedings of the American Mathematical Society. 144: 1787-1801. DOI: 10.1090/proc/12812  0.88
2016 Miyaji T, Pilarczyk P, Gameiro M, Kokubu H, Mischaikow K. A study of rigorous ODE integrators for multi-scale set-oriented computations Applied Numerical Mathematics. 107: 34-47. DOI: 10.1016/j.apnum.2016.04.005  0.88
2015 Taylor D, Klimm F, Harrington HA, Kramár M, Mischaikow K, Porter MA, Mucha PJ. Topological data analysis of contagion maps for examining spreading processes on networks. Nature Communications. 6: 7723. PMID 26194875 DOI: 10.1038/ncomms8723  0.88
2015 Goullet A, Harker S, Mischaikow K, Kalies WD, Kasti D. Efficient computation of Lyapunov functions for morse decompositions Discrete and Continuous Dynamical Systems - Series B. 20: 2419-2451. DOI: 10.3934/dcdsb.2015.20.2419  0.88
2015 Kramár M, Levanger R, Tithof J, Suri B, Xu M, Paul M, Schatz MF, Mischaikow K. Analysis of Kolmogorov flow and Rayleigh-Bénard convection using persistent homology Physica D: Nonlinear Phenomena. DOI: 10.1016/j.physd.2016.02.003  0.88
2015 Gameiro M, Hiraoka Y, Izumi S, Kramar M, Mischaikow K, Nanda V. A topological measurement of protein compressibility Japan Journal of Industrial and Applied Mathematics. 32. DOI: 10.1007/s13160-014-0153-5  0.88
2015 Kalies WD, Mischaikow K, Vandervorst RCAM. Lattice Structures for Attractors II Foundations of Computational Mathematics. DOI: 10.1007/s10208-015-9272-x  0.88
2014 Kramár M, Goullet A, Kondic L, Mischaikow K. Evolution of force networks in dense particulate media. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 90: 052203. PMID 25493787 DOI: 10.1103/PhysRevE.90.052203  0.88
2014 Kramár M, Goullet A, Kondic L, Mischaikow K. Quantifying force networks in particulate systems Physica D: Nonlinear Phenomena. 283: 37-55. DOI: 10.1016/j.physd.2014.05.009  0.88
2014 Harker S, Mischaikow K, Mrozek M, Nanda V. Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps Foundations of Computational Mathematics. 14: 151-184. DOI: 10.1007/s10208-013-9145-0  0.88
2013 Mireles James JD, Mischaikow K. Rigorous a posteriori computation of (Un)stable manifolds and connecting orbits for analytic maps Siam Journal On Applied Dynamical Systems. 12: 957-1006. DOI: 10.1137/12088224X  0.88
2013 Kramar M, Goullet A, Kondic L, Mischaikow K. Persistence of force networks in compressed granular media Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 87. DOI: 10.1103/PhysRevE.87.042207  0.88
2013 Mischaikow K, Nanda V. Morse Theory for Filtrations and Efficient Computation of Persistent Homology Discrete and Computational Geometry. 50: 330-353. DOI: 10.1007/s00454-013-9529-6  0.88
2012 Bush J, Gameiro M, Harker S, Kokubu H, Mischaikow K, Obayashi I, Pilarczyk P. Combinatorial-topological framework for the analysis of global dynamics. Chaos (Woodbury, N.Y.). 22: 047508. PMID 23278094 DOI: 10.1063/1.4767672  0.88
2012 Kokubu H, Mischaikow K. A combinatorial framework for analysis of global dynamics and bifurcations Procedia Iutam. 5: 195-198. DOI: 1016/j.piutam.2012.06.026  0.88
2012 Kondic L, Goullet A, O'Hern CS, Kramar M, Mischaikow K, Behringer RP. Topology of force networks in compressed granular media Epl. 97. DOI: 10.1209/0295-5075/97/54001  0.88
2011 Kurtuldu H, Mischaikow K, Schatz MF. Extensive scaling from computational homology and Karhunen-Loève decomposition analysis of Rayleigh-Bénard convection experiments. Physical Review Letters. 107: 034503. PMID 21838366 DOI: 10.1103/PhysRevLett.107.034503  0.88
2011 Van Den Berg JB, Mireles-James JD, Lessard JP, Mischaikow K. Rigorous numerics for symmetric connecting orbits: Even homoclinics of the Gray-Scott equation Siam Journal On Mathematical Analysis. 43: 1557-1594. DOI: 10.1137/100812008  0.88
2011 Kurtuldu H, Mischaikow K, Schatz MF. Measuring the departures from the Boussinesq approximation in Rayleigh-BÃnard convection experiments Journal of Fluid Mechanics. 682: 543-557. DOI: 10.1017/jfm.2011.244  0.88
2010 Mischaikow K, Wanner T. Topology-guided sampling of nonhomogeneous random processes Annals of Applied Probability. 20: 1068-1097. DOI: 10.1214/09-AAP652  0.88
2010 van den Berg JB, Lessard JP, Mischaikow K. Global smooth solution curves using rigorous branch following Mathematics of Computation. 79: 1565-1584. DOI: 10.1090/S0025-5718-10-02325-2  0.88
2010 Berwald J, Gedeon T, Mischaikow K. Modeling complexity of physiological time series in-silico Biosignals 2010 - Proceedings of the 3rd International Conference On Bio-Inpsired Systems and Signal Processing, Proceedings. 61-67.  0.88
2009 Wilson JR, Gameiro M, Mischaikow K, Kalies W, Voorhees PW, Barnett SA. Three-dimensional analysis of solid oxide fuel cell Ni-YSZ anode interconnectivity. Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada. 15: 71-7. PMID 19144260 DOI: 10.1017/S1431927609090096  0.88
2009 Arai Z, Kalies W, Kokubu H, Mischaikow K, Oka H, Pilarczyk P. A database schema for the analysis of global dynamics of multiparameter systems Siam Journal On Applied Dynamical Systems. 8: 757-789. DOI: 10.1137/080734935  0.88
2009 Aral Z, Kalies W, Kokubu H, Mischaikow K, Oka H, Pilarczyk P. A database schema for the analysis of global dynamics Aip Conference Proceedings. 1168: 918-921. DOI: 10.1063/1.3241632  0.88
2008 Gedeon T, Mischaikow K, Patterson K, Traldi E. When activators repress and repressors activate: a qualitative analysis of the Shea-Ackers model. Bulletin of Mathematical Biology. 70: 1660-83. PMID 18648889 DOI: 10.1007/s11538-008-9313-6  0.88
2008 Chen G, Mischaikow K, Laramee RS, Zhang E. Efficient morse decompositions of vector fields. Ieee Transactions On Visualization and Computer Graphics. 14: 848-62. PMID 18467759 DOI: 10.1109/TVCG.2008.33  0.88
2008 Gedeon T, Mischaikow K, Patterson K, Traldi E. Binding cooperativity in phage lambda is not sufficient to produce an effective switch. Biophysical Journal. 94: 3384-92. PMID 18400951 DOI: 10.1529/biophysj.107.121756  0.88
2008 Day S, Kokubu H, Luzzatto S, Mischaikow K, Oka H, Pilarczyk P. Quantitative hyperbolicity estimates in one-dimensional dynamics Nonlinearity. 21: 1967-1987. DOI: 10.1088/0951-7715/21/9/002  0.88
2008 Gameiro M, Lessard JP, Mischaikow K. Validated continuation over large parameter ranges for equilibria of PDEs Mathematics and Computers in Simulation. 79: 1368-1382. DOI: 10.1016/j.matcom.2008.03.014  0.88
2008 Maier-Paape S, Miller U, Mischaikow K, Wanner T. Rigorous numerics for the Cahn-Hilliard equation on the unit square Revista Matematica Complutense. 21: 351-426.  0.88
2007 Boczko E, Gedeon T, Mischaikow K. Dynamics of a simple regulatory switch. Journal of Mathematical Biology. 55: 679-719. PMID 17622532 DOI: 10.1007/s00285-007-0102-x  0.88
2007 Chen G, Mischaikow K, Laramee RS, Pilarczyk P, Zhang E. Vector field editing and periodic orbit extraction using Morse decomposition. Ieee Transactions On Visualization and Computer Graphics. 13: 769-85. PMID 17495336 DOI: 10.1109/TVCG.2007.1021  0.88
2007 Mischaikow K, Wanner T. Probabilistic validation of homology computations for nodal domains Annals of Applied Probability. 17: 980-1018. DOI: 10.1214/105051607000000050  0.88
2007 Maier-Paape S, Mischaikow K, Wanner T. Structure of the attractor of the Cahn-Hilliard equation on a square International Journal of Bifurcation and Chaos. 17: 1221-1263. DOI: 10.1142/S0218127407017781  0.88
2007 Day S, Lessard JP, Mischaikow K. Validated continuation for equilibria of PDEs Siam Journal On Numerical Analysis. 45: 1398-1424. DOI: 10.1137/050645968  0.88
2007 Day S, Kalies WD, Mischaikow K, Wanner T. Probabilistic and numerical validation of homology computations for nodal domains Electronic Research Announcements of the American Mathematical Society. 13: 60-73. DOI: 10.1090/S1079-6762-07-00175-8  0.88
2007 Krishan K, Kurtuldu H, Schatz MF, Gameiro M, Mischaikow K, Madruga S. Homology and symmetry breaking in Rayleigh-Bénard convection: Experiments and simulations Physics of Fluids. 19. DOI: 10.1063/1.2800365  0.88
2007 Boczko E, Kalies WD, Mischaikow K. Polygonal approximation of flows Topology and Its Applications. 154: 2501-2520. DOI: 10.1016/j.topol.2006.04.033  0.88
2007 Gameiro M, Gedeon T, Kalies W, Kokubu H, Mischaikow K, Oka H. Topological horseshoes of traveling waves for a fast-slow predator-prey system Journal of Dynamics and Differential Equations. 19: 623-654. DOI: 10.1007/s10884-006-9013-6  0.88
2006 Niethammer M, Kalies WD, Mischaikow K, Tannenbaum A. On the detection of simple points in higher dimensions using cubical homology. Ieee Transactions On Image Processing : a Publication of the Ieee Signal Processing Society. 15: 2462-9. PMID 16900699 DOI: 10.1109/TIP.2006.877309  0.88
2006 Szymczak A, Stillman A, Tannenbaum A, Mischaikow K. Coronary vessel trees from 3D imagery: a topological approach. Medical Image Analysis. 10: 548-59. PMID 16798058 DOI: 10.1016/j.media.2006.05.002  0.88
2006 Zhang E, Mischaikow K, Turk G. Vector field design on surfaces Acm Transactions On Graphics. 25: 1294-1326. DOI: 10.1145/1183287.1183290  0.88
2006 Arai Z, Mischaikow K. Rigorous computations of homoclinic tangencies Siam Journal On Applied Dynamical Systems. 5: 280-292. DOI: 10.1137/050626429  0.88
2006 Gedeon T, Kokubu H, Mischaikow K, Oka H. The Conley index for fast-slow systems II: Multidimensional slow variable Journal of Differential Equations. 225: 242-307. DOI: 10.1016/j.jde.2005.11.006  0.88
2005 Boczko EM, Cooper TG, Gedeon T, Mischaikow K, Murdock DG, Pratap S, Wells KS. Structure theorems and the dynamics of nitrogen catabolite repression in yeast. Proceedings of the National Academy of Sciences of the United States of America. 102: 5647-52. PMID 15814615 DOI: 10.1073/pnas.0501339102  0.88
2005 Zhang E, Mischaikow K, Turk G. Feature-based surface parameterization and texture mapping Acm Transactions On Graphics. 24: 1-27. DOI: 10.1145/1037957.1037958  0.88
2005 Day S, Hiraoka Y, Mischaikow K, Ogawa T. Rigorous numerics for global dynamics: A study of the swift-hohenberg equation Siam Journal On Applied Dynamical Systems. 4: 1-31. DOI: 10.1137/040604479  0.88
2005 Szymczak A, Tannenbaum A, Mischaikow K. Coronary vessel cores from 3D imagery: A topological approach Progress in Biomedical Optics and Imaging - Proceedings of Spie. 5747: 505-513. DOI: 10.1117/12.593837  0.88
2005 Hutson V, Lou Y, Mischaikow K. Convergence in competition models with small diffusion coefficients Journal of Differential Equations. 211: 135-161. DOI: 10.1016/j.jde.2004.06.003  0.88
2005 Gameiro M, Mischaikow K, Wanner T. Evolution of pattern complexity in the Cahn-Hilliard theory of phase separation Acta Materialia. 53: 693-704. DOI: 10.1016/j.actamat.2004.10.022  0.88
2005 Kalies WD, Mischaikow K, VanderVorst RCAM. An algorithmic approach to chain recurrence Foundations of Computational Mathematics. 5: 409-449. DOI: 10.1007/s10208-004-0163-9  0.88
2005 Mischaikow K, Mrozek M, Pilarczyk P. Graph approach to the computation of the homology of continuous maps Foundations of Computational Mathematics. 5: 199-229. DOI: 10.1007/s10208-004-0125-2  0.88
2004 Gameiro M, Mischaikow K, Kalies W. Topological characterization of spatial-temporal chaos. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 035203. PMID 15524574 DOI: 10.1103/PhysRevE.70.035203  0.88
2004 Hutson V, Lou Y, Mischaikow K, Poláčik P. Competing species near a degenerate limit Siam Journal On Mathematical Analysis. 35: 453-491. DOI: 10.1137/S0036141002402189  0.88
2004 Day S, Junge O, Mischaikow K. A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems Siam Journal On Applied Dynamical Systems. 3. DOI: 10.1137/030600210  0.88
2004 Flores G, Mischaikow K. Selection of slow diffusion in a reaction diffusion model: Limiting cases Rocky Mountain Journal of Mathematics. 34: 1299-1324.  0.88
2003 Kaczynski T, Mischaikow K, Mrozek M. Computing homology Homology, Homotopy and Applications. 5: 233-256.  0.88
2002 Mischaikow K, Mrozek M. Chapter 9 Conley index Handbook of Dynamical Systems. 2: 393-460. DOI: 10.1016/S1874-575X(02)80030-3  0.88
2002 Hutson V, Lou Y, Mischaikow K. Spatial heterogeneity of resources versus lotka-volterra dynamics Journal of Differential Equations. 185: 97-136. DOI: 10.1006/jdeq.2001.4157  0.88
2002 Gedeon T, Kokubu H, Mischaikow K, Oka H. Chaotic Solutions in Slowly Varying Perturbations of Hamiltonian Systems with Applications to Shallow Water Sloshing Journal of Dynamics and Differential Equations. 14: 63-84.  0.88
2002 Niethammer M, Stein AN, Kalies WD, Pilarczyk P, Mischaikow K, Tannenbaum A. Analysis of blood vessel topology by cubical homology Ieee International Conference On Image Processing. 2.  0.88
2001 Hutson V, Mischaikow K, Poláčik P. The evolution of dispersal rates in a heterogeneous time-periodic environment Journal of Mathematical Biology. 43: 501-533. PMID 11822544 DOI: 10.1007/s00285-003-0210-1  0.88
2001 Mischaikow K, Mrozek M, Szymczak A. Chaos in the Lorenz equations: A computer assisted proof part III: Classical parameter values Journal of Differential Equations. 169: 17-56. DOI: 10.1006/jdeq.2000.3894  0.88
2001 Zgliczyński P, Mischaikow K. Rigorous Numerics for Partial Differential Equations: The Kuramoto-Sivashinsky Equation Foundations of Computational Mathematics. 1: 255-288.  0.88
2001 Allili M, Mischaikow K, Tannenbaum A. Cubical homology and the topological classification of 2D and 3D imagery Ieee International Conference On Image Processing. 2: 173-176.  0.88
2000 Hutson V, Mischaikow K, Vickers GT. Multiple Travelling Waves in Evolutionary Game Dynamics Japan Journal of Industrial and Applied Mathematics. 17: 341-356.  0.88
1999 Carbinatto MC, Mischaikow K. Horseshoes and the Conley index spectrum - II: The theorem is sharp Discrete and Continuous Dynamical Systems. 5: 599-616.  0.88
1999 Mischaikow K, Mrozek M, Reineck JF. Singular index pairs Journal of Dynamics and Differential Equations. 11: 399-425.  0.88
1999 Mischaikow K, Mrozek M, Reiss J, Szymczak A. Construction of Symbolic Dynamics from Experimental Time Series Physical Review Letters. 82: 1144-1147.  0.88
1999 Gedeon T, Kokubu H, Mischaikow K, Oka H, Reineck JF. The Conley index for fast-slow systems I. One-dimensional slow variable Journal of Dynamics and Differential Equations. 11: 427-470.  0.88
1998 Hutson V, Mischaikow K. An approach to practical persistence Journal of Mathematical Biology. 37: 447-466.  0.88
1998 Franzosa R, Mischaikow K. Algebraic transition matrices in the conley index theory Transactions of the American Mathematical Society. 350: 889-912.  0.88
1998 Mischaikow K, Mrozek M. Chaos in the Lorenz equations: A computer assisted proof. Part II: Details Mathematics of Computation. 67: 1023-1046.  0.88
1998 Dockery J, Hutson V, Mischaikow K, Pernarowski M. The evolution of slow dispersal rates: A reaction diffusion model Journal of Mathematical Biology. 37: 61-83.  0.88
1997 Kokubu H, Mischaikow K, Nishiura Y, Oka H, Takaishi T. Connecting Orbit Structure of Monotone Solutions in the Shadow System Journal of Differential Equations. 140: 309-364. DOI: 10.1006/jdeq.1997.3317  0.88
1996 Kokubu H, Mischaikow K, Oka H. Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation Nonlinearity. 9: 1263-1280. DOI: 10.1088/0951-7715/9/5/009  0.88
1996 Hutson V, Mischaikow K. Singular limits for travelling waves for a pair of equations Royal Society of Edinburgh - Proceedings A. 126: 399-411.  0.88
1996 McCord C, Mischaikow K. On the global dynamics of attractors for scalar delay equations Journal of the American Mathematical Society. 9: 1095-1133.  0.88
1995 Mischaikow K, Mrozek M. Chaos in the lorenz equations: A computer-assisted proof Bulletin of the American Mathematical Society. 32: 66-72. DOI: 10.1090/S0273-0979-1995-00558-6  0.88
1995 Mischaikow K, Smith H, Thieme HR. Asymptotically autonomous semiflows: Chain recurrence and lyapunov functions Transactions of the American Mathematical Society. 347: 1669-1685. DOI: 10.1090/S0002-9947-1995-1290727-7  0.88
1995 Mischaikow K, Mrozek M. Isolating neighborhoods and chaos Japan Journal of Industrial and Applied Mathematics. 12: 205-236. DOI: 10.1007/BF03167289  0.88
1995 Gedeon T, Mischaikow K. Structure of the global attractor of cyclic feedback systems Journal of Dynamics and Differential Equations. 7: 141-190. DOI: 10.1007/BF02218817  0.88
1995 Mccord C, Mischaikow K, Mrozek M. Zeta Functions, Periodic Trajectories, and the Conley Index Journal of Differential Equations. 121: 258-292. DOI: 10.1006/jdeq.1995.1129  0.88
1994 Mischaikow K, Reineck JF. A product theorem for connection matrices and the structure of connecting orbits Nonlinear Analysis. 23: 1293-1314. DOI: 10.1016/0362-546X(94)90148-1  0.88
1994 Mischaikow K, Morita Y. Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation Japan Journal of Industrial and Applied Mathematics. 11: 185-202. DOI: 10.1007/BF03167221  0.88
1992 McCord C, Mischaikow K. Connected simple systems, transition matrices and heteroclinic bifurcations Transactions of the American Mathematical Society. 333: 397-422. DOI: 10.1090/S0002-9947-1992-1059711-X  0.88
1992 Fiedler B, Mischaikow K. Dynamics of bifurcations for variational problems with o(3) equivariance: A conley index approach Archive For Rational Mechanics and Analysis. 119: 145-196. DOI: 10.1007/BF00375120  0.88
1991 Hattori H, Mischaikow K. A dynamical system approach to a phase transition problem Journal of Differential Equations. 94: 340-378. DOI: 10.1016/0022-0396(91)90096-R  0.88
1990 Mischaikow K, Wolkowicz G. A predator-prey system involving group defense: a connection matrix approach Nonlinear Analysis. 14: 955-969. DOI: 10.1016/0362-546X(90)90112-T  0.88
1990 Mischaikow K, Hattori H. On the existence of intermediate magnetohydrodynamic shock waves Journal of Dynamics and Differential Equations. 2: 163-175. DOI: 10.1007/BF01057417  0.88
1989 Mischaikow K. Transition systems Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 112: 155-175. DOI: 10.1017/S0308210500028225  0.88
1989 Mischaikow K. Homoclinic orbits in hamiltonian systems and heteroclinic orbits in gradient and gradient-like systems Journal of Differential Equations. 81: 167-213. DOI: 10.1016/0022-0396(89)90182-4  0.88
1988 Mischaikow K. Existence of generalized homoclinic orbits for one parameter families of flows Proceedings of the American Mathematical Society. 103: 59-68. DOI: 10.1090/S0002-9939-1988-0938645-7  0.88
1988 Mischaikow K. Bifurcations into pathology for Hamiltonian systems Journal of Differential Equations. 72: 56-94. DOI: 10.1016/0022-0396(88)90149-0  0.88
1988 Franzosa RD, Mischaikow K. The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces Journal of Differential Equations. 71: 270-287. DOI: 10.1016/0022-0396(88)90028-9  0.88
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