| Year |
Citation |
Score |
| 2023 |
Cummins B, Vrana J, Moseley RC, Eramian H, Deckard A, Fontanarrosa P, Bryce D, Weston M, Zheng G, Nowak J, Motta FC, Eslami M, Johnson KL, Goldman RP, Myers CJ, ... ... Mischaikow K, et al. Robustness and reproducibility of simple and complex synthetic logic circuit designs using a DBTL loop. Synthetic Biology (Oxford, England). 8: ysad005. PMID 37073283 DOI: 10.1093/synbio/ysad005 |
0.695 |
|
| 2022 |
Cummins B, Motta FC, Moseley RC, Deckard A, Campione S, Gameiro M, Gedeon T, Mischaikow K, Haase SB. Experimental guidance for discovering genetic networks through hypothesis reduction on time series. Plos Computational Biology. 18: e1010145. PMID 36215333 DOI: 10.1371/journal.pcbi.1010145 |
0.701 |
|
| 2021 |
Gameiro M, Gedeon T, Kepley S, Mischaikow K. Rational design of complex phenotype via network models. Plos Computational Biology. 17: e1009189. PMID 34324484 DOI: 10.1371/journal.pcbi.1009189 |
0.722 |
|
| 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 |
0.729 |
|
| 2019 |
Levanger R, Xu M, Cyranka J, Schatz MF, Mischaikow K, Paul MR. Correlations between the leading Lyapunov vector and pattern defects for chaotic Rayleigh-Bénard convection. Chaos (Woodbury, N.Y.). 29: 053103. PMID 31154776 DOI: 10.1063/1.5071468 |
0.312 |
|
| 2018 |
Cummins B, Gedeon T, Harker S, Mischaikow K. Model Rejection and Parameter Reduction via Time Series. Siam Journal On Applied Dynamical Systems. 17: 1589-1616. PMID 31762711 DOI: 10.1137/17M1134548 |
0.335 |
|
| 2018 |
Cummins B, Gedeon T, Harker S, Mischaikow K. DSGRN: Examining the Dynamics of Families of Logical Models. Frontiers in Physiology. 9: 549. PMID 29875674 DOI: 10.3389/Fphys.2018.00549 |
0.379 |
|
| 2018 |
Huttinga Z, Cummins B, Gedeon T, Mischaikow K. Global dynamics for switching systems and their extensions by linear differential equations. Physica D. Nonlinear Phenomena. 367: 19-37. PMID 29867284 DOI: 10.1016/J.Physd.2017.11.003 |
0.333 |
|
| 2018 |
Dijksman JA, Kovalcinova L, Ren J, Behringer RP, Kramar M, Mischaikow K, Kondic L. Characterizing granular networks using topological metrics. Physical Review. E. 97: 042903. PMID 29758651 DOI: 10.1103/Physreve.97.042903 |
0.329 |
|
| 2018 |
Gedeon T, Cummins B, Harker S, Mischaikow K. Identifying robust hysteresis in networks. Plos Computational Biology. 14: e1006121. PMID 29684007 DOI: 10.1371/Journal.Pcbi.1006121 |
0.339 |
|
| 2017 |
Gedeon T, Harker S, Kokubu H, Mischaikow K, Oka H. Global Dynamics for Steep Nonlinearities in Two Dimensions. Physica D. Nonlinear Phenomena. 339: 18-38. PMID 28392611 DOI: 10.1016/J.Physd.2016.08.006 |
0.419 |
|
| 2017 |
Alsing P, Blair H, Corne M, Jones G, Miller W, Mischaikow K, Nanda V. Topological Signals of Singularities in Ricci Flow Axioms. 6: 24. DOI: 10.3390/Axioms6030024 |
0.357 |
|
| 2017 |
Jaquette J, Lessard J, Mischaikow K. Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation Journal of Differential Equations. 263: 7263-7286. DOI: 10.1016/J.Jde.2017.08.018 |
0.53 |
|
| 2016 |
Cummins B, Gedeon T, Harker S, Mischaikow K, Mok K. Combinatorial representation of parameter space for switching networks. Siam Journal On Applied Dynamical Systems. 15: 2176-2212. PMID 30774565 DOI: 10.1137/15M1052743 |
0.405 |
|
| 2016 |
Bush J, Cowan W, Harker S, Mischaikow K. Conley--Morse Databases for the Angular Dynamics of Newton's Method on the Plane Siam Journal On Applied Dynamical Systems. 15: 736-766. DOI: 10.1137/15M1017971 |
0.352 |
|
| 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 |
0.723 |
|
| 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 |
0.336 |
|
| 2015 |
Kalies WD, Mischaikow K, Vandervorst RCAM. Lattice Structures for Attractors II Foundations of Computational Mathematics. DOI: 10.3934/Jcd.2014.1.307 |
0.37 |
|
| 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 |
0.352 |
|
| 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 |
0.355 |
|
| 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 |
0.702 |
|
| 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 |
0.322 |
|
| 2014 |
Bush J, Mischaikow K. Coarse Dynamics for Coarse Modeling: An Example From Population Biology Entropy. 16: 3379-3400. DOI: 10.3390/E16063379 |
0.394 |
|
| 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 |
0.318 |
|
| 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 |
0.352 |
|
| 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 |
0.39 |
|
| 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 |
0.735 |
|
| 2012 |
Kokubu H, Mischaikow K. A combinatorial framework for analysis of global dynamics and bifurcations Procedia Iutam. 5: 195-198. DOI: 10.1016/J.Piutam.2012.06.026 |
0.348 |
|
| 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 |
0.586 |
|
| 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 |
0.312 |
|
| 2010 |
Mischaikow K, Wanner T. Topology-guided sampling of nonhomogeneous random processes Annals of Applied Probability. 20: 1068-1097. DOI: 10.1214/09-Aap652 |
0.34 |
|
| 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 |
0.56 |
|
| 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 |
0.681 |
|
| 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 |
0.423 |
|
| 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 |
0.309 |
|
| 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 |
0.358 |
|
| 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. DOI: 10.5209/Rev_Rema.2008.V21.N2.16380 |
0.398 |
|
| 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 |
0.65 |
|
| 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 |
0.755 |
|
| 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 |
0.708 |
|
| 2007 |
Mischaikow K, Wanner T. Probabilistic validation of homology computations for nodal domains Annals of Applied Probability. 17: 980-1018. DOI: 10.1214/105051607000000050 |
0.372 |
|
| 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 |
0.413 |
|
| 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 |
0.716 |
|
| 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 |
0.645 |
|
| 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 |
0.706 |
|
| 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 |
0.725 |
|
| 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 |
0.715 |
|
| 2007 |
Gedeon T, Boczko E, Mischaikow K. Dynamics of a transport mediating switch Pamm. 7: 1120103-1120104. DOI: 10.1002/Pamm.200700962 |
0.702 |
|
| 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 |
0.304 |
|
| 2006 |
Arai Z, Mischaikow K. Rigorous computations of homoclinic tangencies Siam Journal On Applied Dynamical Systems. 5: 280-292. DOI: 10.1137/050626429 |
0.346 |
|
| 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 |
0.334 |
|
| 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 |
0.721 |
|
| 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 |
0.676 |
|
| 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 |
0.722 |
|
| 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 |
0.387 |
|
| 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 |
0.3 |
|
| 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 |
0.711 |
|
| 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 |
0.686 |
|
| 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. DOI: 10.1023/A:1012967211737 |
0.312 |
|
| 2002 |
Mischaikow K. Topological techniques for efficient rigorous computation in dynamics Acta Numerica. 11: 435-477. DOI: 10.1017/S0962492902000065 |
0.405 |
|
| 2001 |
Zgliczyński P, Mischaikow K. Rigorous Numerics for Partial Differential Equations: The Kuramoto-Sivashinsky Equation Foundations of Computational Mathematics. 1: 255-288. DOI: 10.1007/S002080010010 |
0.322 |
|
| 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 |
0.302 |
|
| 2000 |
Hutson V, Mischaikow K, Vickers GT. Multiple Travelling Waves in Evolutionary Game Dynamics Japan Journal of Industrial and Applied Mathematics. 17: 341-356. DOI: 10.1007/Bf03167371 |
0.335 |
|
| 1999 |
Kalies W, Mischaikow K, Watson G. Cubical approximation and computation of homology Banach Center Publications. 47: 115-131. DOI: 10.4064/-47-1-115-131 |
0.323 |
|
| 1999 |
Carbinatto MC, Mischaikow K. Horseshoes and the Conley index spectrum - II: The theorem is sharp Discrete and Continuous Dynamical Systems. 5: 599-616. DOI: 10.3934/Dcds.1999.5.599 |
0.352 |
|
| 1999 |
Mischaikow K, Mrozek M, Reiss J, Szymczak A. Construction of Symbolic Dynamics from Experimental Time Series Physical Review Letters. 82: 1144-1147. DOI: 10.1103/Physrevlett.82.1144 |
0.358 |
|
| 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. DOI: 10.1023/A:1021961819853 |
0.304 |
|
| 1998 |
Mischaikow K, Mrozek M. Chaos in the Lorenz equations: A computer assisted proof. Part II: Details Mathematics of Computation. 67: 1023-1046. DOI: 10.1090/S0025-5718-98-00945-4 |
0.413 |
|
| 1998 |
Franzosa R, Mischaikow K. Algebraic transition matrices in the conley index theory Transactions of the American Mathematical Society. 350: 889-912. DOI: 10.1090/S0002-9947-98-01666-3 |
0.319 |
|
| 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 |
0.384 |
|
| 1996 |
McCord C, Mischaikow K. On the global dynamics of attractors for scalar delay equations Journal of the American Mathematical Society. 9: 1095-1133. DOI: 10.1090/S0894-0347-96-00207-X |
0.371 |
|
| 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 |
0.365 |
|
| 1995 |
Mischaikow K. Global Asymptotic Dynamics of Gradient-Like Bistable Equations Siam Journal On Mathematical Analysis. 26: 1199-1224. DOI: 10.1137/S0036141093250827 |
0.332 |
|
| 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 |
0.419 |
|
| 1995 |
Mischaikow K, Mrozek M. Isolating neighborhoods and chaos Japan Journal of Industrial and Applied Mathematics. 12: 205-236. DOI: 10.1007/Bf03167289 |
0.366 |
|
| 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 |
0.398 |
|
| 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 |
0.345 |
|
| 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 |
0.332 |
|
| 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 |
0.408 |
|
| 1988 |
Mischaikow K. Bifurcations into pathology for Hamiltonian systems Journal of Differential Equations. 72: 56-94. DOI: 10.1016/0022-0396(88)90149-0 |
0.308 |
|
| 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 |
0.329 |
|
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