E. P. Zemskov, M. A. Tsyganov, and W. Horsthemke: "Oscillatory pulse-front waves in a reaction-diffusion system with cross diffusion," Phys. Rev. E, 97, 062206 (8 pages) (2018)

V. Méndez, M. Asssaf, W. Horsthemke, and D. Campos: "Stochastic foundations in nonlinear density-regulation growth," Phys. Rev. E
**96**, 022147 (11 pages) (2017)

V. Méndez, A. Iomin, W. Horsthemke, and D. Campos: "Langevin dynamics for ramified structures," J. Stat. Mech.: Theor. Exp.
**2017**, 063205 (18 pages) (2017)

E. P. Zemskov, M. A. Tsyganov, and W. Horsthemke: "Oscillatory pulses and wave trains in a bistable reaction-diffusion system with cross diffusion," Phys. Rev. E, **95**, 012203 (9 pages) (2017)

E. P. Zemskov and W. Horsthemke: "Diffusive instabilities in hyperbolic reaction-diffusion equations,"
Phys. Rev. E, **93**, 032211
(9 pages) (2016)

V. Méndez, A. Iomin, D. Campos, and W. Horsthemke: "Mesoscopic description of random walks on combs," Phys. Rev. E
**92**, 062112 (9 pages) (2015)

E. P. Zemskov, M. A. Tsyganov, and W. Horsthemke: "Wavy fronts in a hyperbolic FitzHugh-Nagumo system and the effects of cross diffusion,"
Phys. Rev. E, **91**, 062917
(6 pages) (2015)

V. Méndez, M. Asssaf, D. Campos, and W. Horsthemke: "Stochastic dynamics and logistic population growth," Phys. Rev. E
**91**, 062133 (12 pages) (2015)

V. Méndez, D. Campos, and W. Horsthemke: "Growth and dispersal with inertia: Hyperbolic reaction-transport systems," Phys. Rev. E
**90**, 042114 (14 pages) (2014)

V. Méndez, S. I. Denisov, D. Campos, and W. Horsthemke: "Role of the interpretation of stochastic calculus in systems with cross-correlated Gaussian white noises," Phys. Rev. E
**90**, 012116 (11 pages) (2014)

V. Méndez, D. Campos, and W. Horsthemke: "Efficiency of harvesting energy from colored noise by linear oscillators," Phys. Rev. E
**88**, 022124 (6 pages) (2013)

V. Méndez, D. Campos, and W. Horsthemke: "Stationary energy probability density of oscillators driven by a random external force," Phys. Rev. E
**87**, 062132 (10 pages) (2013)

E. P. Zemskov, K. Kassner, M. J. B. Hauser, and W. Horsthemke: "Turing space in reaction-diffusion systems with density-dependent cross diffusion,"
Phys. Rev. E. **87**,
032906 (9 pages) (2013)

V. Méndez, D. Campos, and W. Horsthemke: "Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model," Phys. Rev. E
**86**, 011919 (8 pages) (2012)

V. Méndez, W. Horsthemke, P. Mestres, and D. Campos: "Instabilities of the harmonic
oscillator with fluctuating damping," Phys. Rev. E
**84**, 041137 (8 pages) (2011)

V. Méndez, I. Llopis, D. Campos, and
W. Horsthemke: "Effect of environmental fluctuations on invasion fronts,"
J. Theor. Biol.
**281**, 31 - 38 (2011)

N. Kumar and W. Horsthemke: "Effects of cross diffusion on Turing bifurcations in two-species
reaction-transport systems," Phys. Rev. E
**83**, 036105 (8 pages) (2011)

V. Méndez, S. Fedotov, and W. Horsthemke: "Reaction-Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities" (Springer-Verlag, Berlin, 2010)

V. Méndez, I. Llopis, D. Campos, and
W. Horsthemke: "Extinction Conditions for Isolated Populations Affected
by Environmental Stochasticity,"
Theor. Popul. Biol. **77**,
250 - 256 (2010)

N. Kumar and W. Horsthemke: "Turing Bifurcation in a
Reaction-Diffusion System with
Density-Dependent Dispersal," Physica A
**389**, 1812 - 1818
(2010)

V. Méndez, D. Campos, I. Llopis, and W. Horsthemke: "Extinction
and Chaotic Patterns in Map Lattices under Hostile
Conditions,"
Bull. Math. Biol. **72**, 432 - 443 (2010)

P. K. Moore and W. Horsthemke: "Three-Dimensional Patterns in the
Lengyel-Rabai-Epstein Model of the CDIMA Reaction," Chaos **19**, 043116
(11 pages) (2009)

S. I. Denisov, W. Horsthemke, and P. Hänggi: "Generalized Fokker-Planck equation:
Derivation and exact solutions,"
Eur. Phys. J. B **68**, 567 – 575 (2009)

A. Yadav, S. M. Milu, and W. Horsthemke: "Turing Instability in
Reaction-Subdiffusion Systems,"
Phys. Rev. E **78**, 026116
(8 pages) (2008)

S. I. Denisov, W. Horsthemke, and P. Hänggi:
"Steady-State Lévy Flights in a Confined Domain,"
Phys. Rev. E **77**, 061112 (4 pages) (2008)

A. Yadav, S. Fedotov, V. Méndez, and W. Horsthemke:
"Propagating Fronts in Reaction-Transport Systems with
Memory,"
Phys. Lett. A **371**, 374 - 378 (2007)

V. Méndez, W. Horsthemke,
E. P. Zemskov, and J Casas-Vázquez: "Segregation and Pursuit Waves
in Activator-Inhibitor Systems," Phys. Rev. E **76**, 046222
(6 pages) (2007)

V. Méndez, W. Horsthemke, J. Casas-Vázquez, and E. P.
Zemskov: "Variational Principles and the Effect of a Cutoff on
Population Pattern Size," Eur. Phys. J. ST
**146**, 189 - 197
(2007)

V. Méndez, S. Fedotov, and W. Horsthemke: "Effect of Memory on
the Speed of Reaction-Diffusion Fronts,"
Europhys. Lett. **77**, 58006 (5 pages) (2007)

V. Méndez, S. Fedotov, D. Campos, and
W. Horsthemke: "Biased Random Walks and Propagation Failure,"
Phys. Rev. E **75**, 011118 (4 pages) (2007)

A. Yadav and W. Horsthemke: "Kinetic Equations for Reaction-Subdiffusion
Systems: Derivation and Stability Analysis,"
Phys. Rev. E
**74**, 066118 (10 pages) (2006)

W. Horsthemke, C. E. Zachary, and P. K. Moore:
"Instabilities in Networks of Reactors Coupled by Photochemical Feedback,"
Chem. Phys. Lett. **432**, 457 - 461 (2006)

S. I. Denisov, A. N. Vitrenko, W. Horsthemke, and P. Hänggi:
"Anomalous Diffusion for Overdamped Particles Driven by
Cross-Correlated White Noise Sources,"
Phys. Rev. E
**73**,
036120 (6 pages) (2006)

P. K. Moore and W. Horsthemke: "Localized Patterns in Homogeneous Networks
of Diffusively Coupled Reactors," Physica D **206**,
121 - 144 (2005)

W. Horsthemke: "Pattern Formation in Random Walks with Inertia," in
*Noise in Complex Systems and Stochastic Dynamics III*, edited by L.
B. Kish, K. Lindenberg, and Z. Gingl, Proc. of SPIE Vol. 5845 (SPIE,
Bellingham, WA, 2005) 12 - 26 preprint

W. Horsthemke, K. Lam, and P. K. Moore: "Network Topology and Turing
Instabilities in Small Arrays of Diffusively Coupled Reactors," Phys. Lett. A
**328**, 444 - 451 (2004)

W. Horsthemke and P. K. Moore: "Turing Instability in Inhomogeneous Arrays
of Diffusively Coupled Reactors," J. Phys. Chem. A **108**,
2225 - 2231 (2004)

S. I. Denisov, A. N. Vitrenko, and W. Horsthemke: "Nonequilibrium
Transitions Induced by the Cross-Correlation of White Noise," Phys. Rev. E **68**,
046132 (5 pages) (2003)

W. Horsthemke: "External Noise and Front Propagation in Reaction-Transport
Systems with Inertia: The Mean Speed of Fisher Waves,"
Fluct. Noise Lett. **2**, R109 - R124 (2002)

S. I. Denisov and W. Horsthemke: "Exactly Solvable Model with an Absorbing
State and Multiplicative Colored Gaussian Noise," Phys. Rev. E
**65**, 061109 (10 pages) (2002)

S. I. Denisov and W. Horsthemke: "Anomalous Diffusion of Particles Driven
by Correlated Noise," Phys. Rev. E
**62**, 7729 - 7734 (2000)

W. Horsthemke: "Fisher Waves in Reaction Random Walks," Phys. Lett. A
**263**, 285 - 292 (1999)

W. Horsthemke: "Spatial Instabilities in Reaction Random Walks with
Direction-Independent Kinetics," Phys. Rev. E
**60**, 2651 - 2663 (1999)

C. R. Doering, W. Horsthemke, and J. Riordan: "Nonequilibrium
Fluctuation-Induced Transport," Phys. Rev. Lett.
**72**, 2984 - 2987 (1994)

W. Horsthemke, C. R. Doering, T. S. Ray, and M. A. Burschka: "Fluctuations
and Correlations in a Diffusion-Reaction System: Unified Description of
Internal Fluctuations and External Noise," Phys. Rev. A
**45**, 5492 - 5503 (1992)

B. Röhricht and W. Horsthemke: "A Bifurcation Sequence to Stationary
Spatial Patterns in a Nonuniform Chemical Model System With Equal Diffusion
Coefficients,"
J. Chem. Phys. **94**, 4421 - 4426 (1991)

J. E. Pearson and W. Horsthemke: "Turing Instabilities with Nearly Equal
Diffusion Coefficients,"
J. Chem. Phys. **90**, 1588 - 1599 (1989)

W. Y. Tam, W. Horsthemke, Z. Noszticzius, and H. L. Swinney: "Sustained
Spiral Waves in a Continuously Fed Unstirred Chemical Reactor,"
J. Chem. Phys. **88**, 3395 - 3396 (1988)

Z. Noszticzius, W. Horsthemke, W. D. McCormick, H. L. Swinney, and W. Y.
Tam: "Sustained Chemical Waves in an Annular Gel Reactor: A Chemical
Pinwheel,"
Nature **329**, 619-620 (1987)

L. Hannon and W. Horsthemke: "Stirring Effects and Bistability in the
Iodate-Arsenous Acid Reaction: Premixed Vs Segregated Flows,"
J. Chem. Phys. **86**, 140 - 143 (1987)

W. Horsthemke and R. Lefever: "*Noise-Induced Transitions. Theory and
Applications in Physics, Chemistry, and Biology*" (Springer Verlag,
Berlin, 1984; 2nd printing, 2006) (Russian edition: MIR, Moscow, 1987)

W. Horsthemke and R. Lefever: "Voltage-Noise-Induced Transitions in
Electrically Excitable Membranes,"
Biophys. J. **35**, 415 - 432 (1981)

R. Lefever and W. Horsthemke: "Multiple Transitions Induced by Light
Intensity Fluctuations in Illuminated Chemical Systems,"
Proc. Natl. Acad.
Sci. USA **76**, 2490 - 2494 (1979)

L. Arnold, W. Horsthemke, and R. Lefever: "White and Coloured External
Noise and Transition Phenomena in Nonlinear Systems,"
Z. Physik B
**29**, 367 - 373 (1978)

W. Horsthemke and M. Malek-Mansour: "The Influence of External Noise on
Non-Equilibrium Phase Transitions,"
Z. Physik B **24**, 307 - 313
(1976)

W. Horsthemke and A. Bach: "Onsager-Machlup Function for One-Dimensional
Nonlinear Diffusion Processes,"
Z. Physik B **22**, 189 - 192 (1975)

Last updated June 12, 2018