Werner Horsthemke - Publications

Affiliations: 
Physics University of Texas at Austin, Austin, Texas, U.S.A. 

93 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
2020 Zemskov EP, Tsyganov MA, Horsthemke W. Oscillatory multipulsons: Dissipative soliton trains in bistable reaction-diffusion systems with cross diffusion of attractive-repulsive type. Physical Review. E. 101: 032208. PMID 32289978 DOI: 10.1103/Physreve.101.032208  0.309
2019 Zemskov EP, Tsyganov MA, Horsthemke W. Multifront regime of a piecewise-linear FitzHugh-Nagumo model with cross diffusion. Physical Review. E. 99: 062214. PMID 31330591 DOI: 10.1103/Physreve.99.062214  0.394
2019 Méndez V, Assaf M, Masó-Puigdellosas A, Campos D, Horsthemke W. Demographic stochasticity and extinction in populations with Allee effect. Physical Review. E. 99: 022101. PMID 30934329 DOI: 10.1103/Physreve.99.022101  0.367
2018 Zemskov EP, Tsyganov MA, Horsthemke W. Oscillatory pulse-front waves in a reaction-diffusion system with cross diffusion. Physical Review. E. 97: 062206. PMID 30011462 DOI: 10.1103/Physreve.97.062206  0.309
2017 Méndez V, Assaf M, Horsthemke W, Campos D. Stochastic foundations in nonlinear density-regulation growth. Physical Review. E. 96: 022147. PMID 28950645 DOI: 10.1103/Physreve.96.022147  0.328
2017 Zemskov EP, Tsyganov MA, Horsthemke W. Oscillatory pulses and wave trains in a bistable reaction-diffusion system with cross diffusion. Physical Review. E. 95: 012203. PMID 28208357 DOI: 10.1103/Physreve.95.012203  0.328
2017 Méndez V, Iomin A, Horsthemke W, Campos D. Langevin dynamics for ramified structures Journal of Statistical Mechanics: Theory and Experiment. 2017: 63205. DOI: 10.1088/1742-5468/Aa6Bc6  0.43
2016 Zemskov EP, Horsthemke W. Diffusive instabilities in hyperbolic reaction-diffusion equations. Physical Review. E. 93: 032211. PMID 27078348 DOI: 10.1103/Physreve.93.032211  0.436
2015 Méndez V, Iomin A, Campos D, Horsthemke W. Mesoscopic description of random walks on combs. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 92: 062112. PMID 26764637 DOI: 10.1103/Physreve.92.062112  0.379
2015 Zemskov EP, Tsyganov MA, Horsthemke W. Wavy fronts in a hyperbolic FitzHugh-Nagumo system and the effects of cross diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 062917. PMID 26172782 DOI: 10.1103/Physreve.91.062917  0.412
2015 Méndez V, Assaf M, Campos D, Horsthemke W. Stochastic dynamics and logistic population growth. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 062133. PMID 26172687 DOI: 10.1103/Physreve.91.062133  0.355
2015 Palau AS, Méndez V, Campos D, Horsthemke W. Erratum: Efficiency of harvesting energy from colored noise by linear oscillators [Phys. Rev. E 88, 022124 (2013)] Physical Review E. 91: 29904. DOI: 10.1103/Physreve.91.029904  0.333
2014 Méndez V, Campos D, Horsthemke W. Growth and dispersal with inertia: hyperbolic reaction-transport systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 90: 042114. PMID 25375445 DOI: 10.1103/Physreve.90.042114  0.421
2014 Méndez V, Denisov SI, Campos D, Horsthemke W. Role of the interpretation of stochastic calculus in systems with cross-correlated Gaussian white noises. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 90: 012116. PMID 25122260 DOI: 10.1103/Physreve.90.012116  0.489
2013 Méndez V, Campos D, Horsthemke W. Efficiency of harvesting energy from colored noise by linear oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 88: 022124. PMID 24032792 DOI: 10.1103/Physreve.88.022124  0.368
2013 Méndez V, Campos D, Horsthemke W. Stationary energy probability density of oscillators driven by a random external force. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 87: 062132. PMID 23848652 DOI: 10.1103/Physreve.87.062132  0.411
2013 Zemskov EP, Kassner K, Hauser MJB, Horsthemke W. Turing space in reaction-diffusion systems with density-dependent cross diffusion Physical Review E. 87: 32906. DOI: 10.1103/Physreve.87.032906  0.432
2012 Méndez V, Campos D, Horsthemke W. Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 86: 011919. PMID 23005464 DOI: 10.1103/Physreve.86.011919  0.379
2011 Méndez V, Horsthemke W, Mestres P, Campos D. Instabilities of the harmonic oscillator with fluctuating damping. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 041137. PMID 22181117 DOI: 10.1103/Physreve.84.041137  0.425
2011 Méndez V, Llopis I, Campos D, Horsthemke W. Effect of environmental fluctuations on invasion fronts. Journal of Theoretical Biology. 281: 31-8. PMID 21549716 DOI: 10.1016/J.Jtbi.2011.04.025  0.465
2011 Kumar N, Horsthemke W. Effects of cross diffusion on Turing bifurcations in two-species reaction-transport systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 036105. PMID 21517556 DOI: 10.1103/Physreve.83.036105  0.372
2010 Méndez V, Llopis I, Campos D, Horsthemke W. Extinction conditions for isolated populations affected by environmental stochasticity. Theoretical Population Biology. 77: 250-6. PMID 20219497 DOI: 10.1016/J.Tpb.2010.02.006  0.473
2010 Méndez V, Campos D, Llopis I, Horsthemke W. Extinction and chaotic patterns in map lattices under hostile conditions. Bulletin of Mathematical Biology. 72: 432-43. PMID 19760463 DOI: 10.1007/S11538-009-9453-3  0.318
2010 Kumar N, Horsthemke W. Turing bifurcation in a reaction–diffusion system with density-dependent dispersal Physica a-Statistical Mechanics and Its Applications. 389: 1812-1818. DOI: 10.1016/J.Physa.2009.12.052  0.391
2010 Méndez V, Fedotov S, Horsthemke W. Reaction–Diffusion Fronts Real-Time Systems. 123-153. DOI: 10.1007/978-3-642-11443-4_4  0.379
2010 Méndez V, Fedotov S, Horsthemke W. RandomWalks and Mesoscopic Reaction–Transport Equations Real-Time Systems. 55-120. DOI: 10.1007/978-3-642-11443-4_3  0.364
2010 Méndez V, Fedotov S, Horsthemke W. Reactions and Transport: Diffusion, Inertia, and Subdiffusion Real-Time Systems. 33-54. DOI: 10.1007/978-3-642-11443-4_2  0.344
2010 Méndez V, Fedotov S, Horsthemke W. Pattern Formation in Spatially Discrete Systems Real-Time Systems. 365-420. DOI: 10.1007/978-3-642-11443-4_13  0.324
2010 Méndez V, Fedotov S, Horsthemke W. Chemical and Biological Applications of Turing Systems Real-Time Systems. 345-364. DOI: 10.1007/978-3-642-11443-4_12  0.316
2010 Méndez V, Fedotov S, Horsthemke W. Turing Instabilities in Reaction-Diffusion Systems with Temporally or Spatially Varying Parameters. Real-Time Systems. 333-344. DOI: 10.1007/978-3-642-11443-4_11  0.39
2010 Méndez V, Fedotov S, Horsthemke W. Turing Instabilities in Homogeneous Systems Real-Time Systems. 287-331. DOI: 10.1007/978-3-642-11443-4_10  0.371
2009 Denisov SI, Horsthemke W, Hänggi P. Generalized Fokker-Planck equation: Derivation and exact solutions European Physical Journal B. 68: 567-575. DOI: 10.1140/Epjb/E2009-00126-3  0.475
2008 Yadav A, Milu SM, Horsthemke W. Turing instability in reaction-subdiffusion systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 78: 026116. PMID 18850906 DOI: 10.1103/Physreve.78.026116  0.355
2008 Denisov SI, Horsthemke W, Hänggi P. Steady-state Lévy flights in a confined domain. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 77: 061112. PMID 18643222 DOI: 10.1103/Physreve.77.061112  0.423
2007 Méndez V, Horsthemke W, Zemskov EP, Casas-Vázquez J. Segregation and pursuit waves in activator-inhibitor systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 046222. PMID 17995097 DOI: 10.1103/Physreve.76.046222  0.353
2007 Méndez V, Fedotov S, Campos D, Horsthemke W. Biased random walks and propagation failure. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 011118. PMID 17358121 DOI: 10.1103/Physreve.75.011118  0.415
2007 Méndez V, Fedotov S, Horsthemke W. Effect of memory kernels on the speed of reaction-diffusion fronts Epl. 77: 58006. DOI: 10.1209/0295-5075/77/58006  0.325
2007 Méndez V, Horsthemke W, Casas-Vázquez J, Zemskov EP. Variational principles and the effect of a cutoff on population pattern size European Physical Journal-Special Topics. 146: 189-197. DOI: 10.1140/Epjst/E2007-00179-6  0.311
2007 Yadav A, Fedotov S, Méndez V, Horsthemke W. Propagating fronts in reaction-transport systems with memory Physics Letters A. 371: 374-378. DOI: 10.1016/J.Physleta.2007.06.044  0.325
2006 Yadav A, Horsthemke W. Kinetic equations for reaction-subdiffusion systems: derivation and stability analysis. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 74: 066118. PMID 17280132 DOI: 10.1103/Physreve.74.066118  0.404
2006 Denisov SI, Vitrenko AN, Horsthemke W, Hänggi P. Anomalous diffusion for overdamped particles driven by cross-correlated white noise sources. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 73: 036120. PMID 16605611 DOI: 10.1103/Physreve.73.036120  0.419
2005 Moore PK, Horsthemke W. Localized patterns in homogeneous networks of diffusively coupled reactors Physica D: Nonlinear Phenomena. 206: 121-144. DOI: 10.1016/J.Physd.2005.05.002  0.374
2004 Horsthemke W, Moore PK. Turing Instability in Inhomogeneous Arrays of Diffusively Coupled Reactors Journal of Physical Chemistry A. 108: 2225-2231. DOI: 10.1021/Jp037029K  0.354
2004 Horsthemke W, Lam K, Moore PK. Network topology and Turing instabilities in small arrays of diffusively coupled reactors Physics Letters A. 328: 444-451. DOI: 10.1016/J.Physleta.2004.06.044  0.344
2003 Denisov SI, Vitrenko AN, Horsthemke W. Nonequilibrium transitions induced by the cross-correlation of white noises. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 68: 046132. PMID 14683027 DOI: 10.1103/Physreve.68.046132  0.479
2002 Denisov SI, Horsthemke W. Exactly solvable model with an absorbing state and multiplicative colored Gaussian noise. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 65: 061109. PMID 12188705 DOI: 10.1103/Physreve.65.061109  0.396
2002 Denisov SI, Horsthemke W. Statistical properties of a class of nonlinear systems driven by colored multiplicative Gaussian noise. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 65: 031105. PMID 11909027 DOI: 10.1103/Physreve.65.031105  0.445
2002 Horsthemke W. External Noise And Front Propagation In Reaction-Transport Systems With Inertia: The Mean Speed Of Fisher Waves Fluctuation and Noise Letters. 2. DOI: 10.1142/S0219477502000932  0.447
2001 Denisov SI, Horsthemke W. Anomalous diffusion and stochastic localization of damped quantum particles Physics Letters A. 282: 367-372. DOI: 10.1016/S0375-9601(00)00814-8  0.379
2000 Denisov SI, Horsthemke W. Anomalous diffusion of particles driven by correlated noise Physical Review E. 62: 7729-7734. PMID 11138045 DOI: 10.1103/Physreve.62.7729  0.345
1999 Horsthemke W. Spatial instabilities in reaction random walks with direction-independent kinetics. Physical Review E. 60: 2651-2663. PMID 11970066 DOI: 10.1103/Physreve.60.2651  0.412
1999 Horsthemke W. Fisher waves in reaction random walks Physics Letters A. 263: 285-292. DOI: 10.1016/S0375-9601(99)00711-2  0.368
1994 Doering CR, Horsthemke W, Riordan J. Nonequilibrium fluctuation-induced transport Physical Review Letters. 72: 2984-2987. DOI: 10.1103/Physrevlett.72.2984  0.383
1993 Doering CR, Horsthemke W. Stability of reaction-diffusion-convection systems: the case of linear shear flow Physics Letters A. 182: 227-231. DOI: 10.1016/0375-9601(93)91062-A  0.343
1993 Horsthemke W. Noise-induced clumping in the one-dimensional reversible diffusion-limited single-species coagulation process Journal of Statistical Physics. 70: 149-162. DOI: 10.1007/Bf01053960  0.475
1992 Horsthemke W, Doering CR, Ray TS, Burschka MA. Fluctuations and correlations in a diffusion-reaction system: Unified description of internal fluctuations and external noise. Physical Review. A. 45: 5492-5503. PMID 9907647 DOI: 10.1103/Physreva.45.5492  0.493
1991 Röhricht B, Horsthemke W. A bifurcation sequence to stationary spatial patterns in a nonuniform chemical model system with equal diffusion coefficients Journal of Chemical Physics. 94: 4421-4426. DOI: 10.1063/1.460703  0.353
1991 Doering CR, Burschka MA, Horsthemke W. Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics Journal of Statistical Physics. 65: 953-970. DOI: 10.1007/Bf01049592  0.374
1989 Pearson JE, Horsthemke W. Turing instabilities with nearly equal diffusion coefficients Journal of Chemical Physics. 90: 1588-1599. DOI: 10.1063/1.456051  0.384
1989 Sigeti D, Horsthemke W. Pseudo-regular oscillations induced by external noise Journal of Statistical Physics. 54: 1217-1222. DOI: 10.1007/Bf01044713  0.699
1989 Schumaker M, Horsthemke W. A modified pitchfork bifurcation as a model of the TI-TII transition in liquid helium counterflow with external noise Journal of Statistical Physics. 54: 1189-1206. DOI: 10.1007/Bf01044711  0.46
1989 Horsthemke W, Schumaker MF. Noise and superfluid turbulence in He II: Theory Journal of Statistical Physics. 54: 1175-1188. DOI: 10.1007/Bf01044710  0.415
1988 Tam WY, Vastano JA, Swinney HL, Horsthemke W. Regular and chaotic chemical spatiotemporal patterns. Physical Review Letters. 61: 2163-2166. PMID 10039004 DOI: 10.1103/Physrevlett.61.2163  0.364
1988 McCarty P, Horsthemke W. Effective diffusion coefficient for steady two-dimensional convective flow. Physical Review. A. 37: 2112-2117. PMID 9899904 DOI: 10.1103/Physreva.37.2112  0.3
1988 Vastano JA, Pearson JE, Horsthemke W, Swinney HL. Turing patterns in an open reactor The Journal of Chemical Physics. 88: 6175-6181. DOI: 10.1063/1.454456  0.372
1987 Schumaker MF, Horsthemke W. Imperfect pitchfork bifurcation with weak noise and an application to superfluid turbulence in liquid helium. Physical Review. A. 36: 354-364. PMID 9898691 DOI: 10.1103/Physreva.36.354  0.38
1987 Noszticzius Z, Horsthemke W, McCormick WD, Swinney HL, Tam WY. Sustained chemical waves in an annular gel reactor: A chemical pinwheel Nature. 329: 619-620. DOI: 10.1038/329619A0  0.301
1987 Vastano JA, Pearson JE, Horsthemke W, Swinney HL. Chemical pattern formation with equal diffusion coefficients Physics Letters A. 124: 320-324. DOI: 10.1016/0375-9601(87)90019-3  0.363
1986 Sagues F, Horsthemke W. Diffusive transport in spatially periodic hydrodynamic flows. Physical Review A. 34: 4136-4143. PMID 9897759 DOI: 10.1103/Physreva.34.4136  0.305
1986 Horsthemke W, McCarty PE. The effect of light intensity fluctuations on an autocatalytic photochemical reaction: The case of white shot noise Physics Letters A. 117: 10-14. DOI: 10.1016/0375-9601(86)90227-6  0.389
1985 Horsthemke W, Doering CR, Lefever R, Chi AS. Effect of external-field fluctuations on instabilities in nematic liquid crystals. Physical Review. A. 31: 1123-1135. PMID 9895593 DOI: 10.1103/Physreva.31.1123  0.4
1985 Schumaker MF, Horsthemke W. The influence of internal fluctuations and external noise on the gene frequency in a haploid population. Bulletin of Mathematical Biology. 47: 513-533. DOI: 10.1016/S0092-8240(85)90018-7  0.407
1985 Doering CR, Horsthemke W. A comparison between transitions induced by random and periodic fluctuations Journal of Statistical Physics. 38: 763-783. DOI: 10.1007/Bf01010489  0.399
1984 Horsthemke W, Hannon L. Nonequilibrium chemical instabilities in continuous flow stirred tank reactors: The effect of stirring Journal of Chemical Physics. 81: 4363-4368. DOI: 10.1063/1.447447  0.329
1984 Horsthemke W, Lefever R. Finite size effects and external noise in nonequilibrium systems Physics Letters A. 106: 10-12. DOI: 10.1016/0375-9601(84)90481-X  0.387
1981 Horsthemke W, Lefever R. Voltage-noise-induced transitions in electrically excitable membranes. Biophysical Journal. 35: 415-32. PMID 7272445 DOI: 10.1016/S0006-3495(81)84799-6  0.384
1980 Kitahara K, Horsthemke W, Lefever R, Inaba Y. Phase Diagrams of Noise Induced Transitions Exact Results for a Class of External Coloured Noise Progress of Theoretical Physics. 64: 1233-1247. DOI: 10.1143/Ptp.64.1233  0.423
1980 Horsthemke W, Lefever R. A perturbation expansion for external wide band Markovian noise: Application to transitions induced by Ornstein-Uhlenbeck noise Zeitschrift FüR Physik B Condensed Matter. 40: 241-247. DOI: 10.1007/Bf01294534  0.418
1979 Lefever R, Horsthemke W. Multiple transitions induced by light intensity fluctuations in illuminated chemical systems. Proceedings of the National Academy of Sciences of the United States of America. 76: 2490-4. PMID 16592658 DOI: 10.1073/Pnas.76.6.2490  0.414
1979 Lefever R, Horsthemke W. Bistability in fluctuating environments. Implications in tumor immunology. Bulletin of Mathematical Biology. 41: 469-90. PMID 465832 DOI: 10.1016/S0092-8240(79)80003-8  0.324
1979 Kitahara K, Horsthemke W, Lefever R. Coloured-noise-induced transitions: Exact results for external dichotomous Markovian noise Physics Letters A. 70: 377-380. DOI: 10.1016/0375-9601(79)90336-0  0.424
1979 Arnold L, Horsthemke W, Stucki JW. The Influence of External Real and White Noise on the LOTKA‐VOLTERRA Model Biometrical Journal. 21: 451-471. DOI: 10.1002/Bimj.4710210507  0.415
1978 Boissonade J, Horsthemke W. Molecular dynamics studies of the role of diffusion in chemical models with absorbing boundary states Physics Letters A. 68: 283-285. DOI: 10.1016/0375-9601(78)90832-0  0.341
1978 Arnold L, Horsthemke W, Lefever R. White and coloured external noise and transition phenomena in nonlinear systems Zeitschrift FüR Physik B Condensed Matter and Quanta. 29: 367-373. DOI: 10.1007/Bf01324036  0.415
1977 Malek-Mansour M, Brenig L, Horsthemke W. A stochastic approach to the kinetic theory of gases Physica a: Statistical Mechanics and Its Applications. 88: 407-424. DOI: 10.1016/0378-4371(77)90118-2  0.682
1977 Broeck CVD, Horsthemke W, Malek-Mansour M. On the diffusion operator of the multivariate master equation Physica a-Statistical Mechanics and Its Applications. 89: 339-352. DOI: 10.1016/0378-4371(77)90108-X  0.425
1977 Horsthemke W, Lefever R. Phase transition induced by external noise Physics Letters A. 64: 19-21. DOI: 10.1016/0375-9601(77)90512-6  0.36
1977 Brenig L, Horsthemke W, Malek-Mansour M. A stochastic master equation representation of statistical mechanics Physics Letters A. 60: 273-274. DOI: 10.1016/0375-9601(77)90095-0  0.655
1977 Horsthemke W, Malek-Mansour M, Hayez B. An asymptotic expansion of the nonlinear master equation Journal of Statistical Physics. 16: 201-215. DOI: 10.1007/Bf01418752  0.447
1977 Horsthemke W, Malek-Mansour M, Brenig L. Mean-field theory of critical behaviour and first order transition: A comparison between the Master Equation and the nonlinear Fokker-Planck equation European Physical Journal B. 28: 135-139. DOI: 10.1007/Bf01325452  0.657
1977 Horsthemke W, Brenig L. Non-linear Fokker-Planck equation as an asymptotic representation of the master equation Zeitschrift F�R Physik B: Condensed Matter and Quanta. 27: 341-348. DOI: 10.1007/Bf01320526  0.673
1976 Brenig L, Malek-Mansour M, Horsthemke W. A stochastic approach to hydrodynamics Physics Letters A. 59: 341-342. DOI: 10.1016/0375-9601(76)90401-1  0.667
1975 Horsthemke W, Bach A. Onsager-Machlup Function for one dimensional nonlinear diffusion processes European Physical Journal B. 22: 189-192. DOI: 10.1007/Bf01322364  0.422
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