F. P. Kemeth, S. W. Haugland, L. Schmidt, I. G. Kevrekidis and K. Krischer A classification scheme for chimera states Chaos 26, 094815 (2016) Python code for the classification of chimera states is now available, and can be installed using (sudo) pip install classify_chimeras or from source via the GitHub repository.
L. Schmidt, K. Schönleber, V. García-Morales and K. Krischer Unusual synchronization phenomena during electrodissolution of silicon: the role of nonlinear global coupling in A.S. Mikhailov and G. Ertl (Eds.) Engineering of Chemical Complexity II World Scientific Lecture Notes in Complex Systems, volume 12 (World Scientific Publishing Co. Pte. Ltd., Singapore, 2015).
R. W. Hölzel and K. Krischer Pattern recognition minimizes entropy production in a neural network of electrical oscillators Physics Letters A 39, 2766-2770 (2013)
E. Ramirez-Alvarez, R. Rico-Martinez and K. Krischer Self-organized reactivity patterns during the oxidation of H2–CO mixtures on a rotating Pt ring-electrode Electrochimica Acta 112, 894 – 898 (2013)
D. A. Crespo-Yapur, A. Bonnefont, R. Schuster, K. Krischer and E. R. Savinova Cooperative Behaviour of Pt Microelectrodes during CO Bulk Electrooxidation ChemPhysChem 114, 1117 - 1121 (2013)
K. Kostorz, R. W. Hölzel and K. Krischer Distributed coupling complexity in a weakly coupled oscillatory network with associative properties New J. Phys. 15, 083010 (2013)
S. Malkhandi, P. R. Bauer, A. Bonnefont and K. Krischer Mechanistic aspects of oscillations during CO electrooxidation on Pt in the presence of anions: Experiments and simulations Catalysis Today 202, 144 (2013)
H. Gasteiger, K. Krischer and B. Scrosati Electrochemical Cells: Basics in B. Scrosati, K. M. Abraham, W. van Schalkwijk and J. Hassoun (Eds.) Lithium Batteries: Advanced Technologies and Applications (John Wiley & Sons, 2013)
V. García-Morales and K. Krischer Turbulence and synchrony in spatially extended electrochemical oscillators in A.S. Mikhailov and G. Ertl (Eds.) Engineering of Chemical Complexity World Scientific Lecture Notes in Complex Systems (World Scientific, Singapore, 2013), ISBN-13: 978-981-4390-45-3.
2012
K. Schönleber and K. Krischer High-Amplitude versus Low-Amplitude Current Oscillations during the Anodic Oxidation of p-Type Silicon in Fluoride Containing Electrolytes ChemPhysChem 13, 2989 (2012)
I. Miethe and K. Krischer Ellipsometric studies of the anodic oxidation of p-type silicon in fluoride containing electrolytes during current oscillations J. Electroanal. Chem. 666, 1 (2012)
V. García-Morales and K. Krischer The Complex Ginzburg-Landau Equation: An introduction Contemp. Physics 53, 79 (2012)
2011
S. Kirsch, R. Hanke-Rauschenbach, A. El-Sibai, D. Flockeryie, K. Krischer and K. Sundmacher The S-Shaped Negative Differential Resistance during the Electrooxidation of H(2)/CO in Polymer Electrolyte Membrane Fuel Cells: Modeling and Experimental Proof J. Phys. Chem. C 115, 25315 (2011)
V. García-Morales and K. Krischer Superstatistics in Nanoscale Electrochemical Systems PNAS 108, 19535 (2011)
V. García-Morales and K. Krischer Kinetic enhancement in nanoscale electrochemical systems caused by non-normal distributions of the electrode potential J. Chem. Phys. 134, 244512 (2011)
R.W. Hölzel and K. Krischer Pattern recognition with simple oscillating circuits New J. Phys. 13 073031 (2011)
2010
V. García-Morales and K. Krischer Fluctuation enhanced electrochemical reaction rates at the nanoscale PNAS 107, 4528 (2010)
Y.E. Seidel, Z. Jusys, R.W. Lindström, M. Stenfeldt, B. Kasemo and K. Krischer Oscillatory behaviour in galvanostatic formaldehyde oxidation on nanostructured Pt / glassy carbon model electrodes ChemPhysChem 11, 1405 (2010)
P. Bauer, A. Bonnefont and K. Krischer Spatially Resolved ATR-FTIRS Study of the Formation of Macroscopic Domains and Microislands during CO Electrooxidation on Pt ChemPhysChem 11, 3002 (2010)
A. Birzu and K. Krischer Resonance tongues in a system of globally coupled FitzHugh-Nagumo oscillators with time-periodic coupling strength Chaos 20, 043114 (2010)
V. García-Morales, A. Orlov and K. Krischer Subharmonic phase clusters in the complex Ginzburg-Landau equation with nonlinear global coupling Phys. Rev. E 82, 065202(R) (2010)
2009
I. Miethe, V. García-Morales and K. Krischer Irregular subharmonic cluster patterns in an autonomous photoelectrochemical oscillator Phys. Rev. Lett. 102, 194101 (2009)
S. Malkhandi, A. Bonnefont and K. Krischer Dynamic instabilities during the continuous electro-oxidation of CO on poly- and single crystalline Pt electrodes Surface Science 603, 1646 - 1651 (2009)
A. Bonnefont, R. Morschl, P. Bauer and K. Krischer Electrochemical impedance spectroscopy of patterned steady states on electrode surfaces Electrochim. Acta 55, 410 (2009), doi:10.1016/j.electacta.2009.03.054
2008
V. García-Morales and K. Krischer Normal-form approach to spatiotemporal pattern formation in globally coupled electrochemical systems Phys. Rev. E 78, 057201 (2008)
V. García-Morales, R.W. Hölzel and K. Krischer Coherent structures emerging from turbulence in the nonlocal complex Ginzburg-Landau equation Phys. Rev. E 78, 026215 (2008)
R. Morschl, J. Bolten, A. Bonnefont and K. Krischer Pattern Formation during CO Electrooxidation on Thin Pt Films studied with Spatially Resolved Infrared Absorption Spectroscopy J. Phys. Chem. C, 112, 9548-9551 (2008) view online abstract or pdf
V. García-Morales and K. Krischer Nonlocal complex Ginzburg-Landau equation for electrochemical systems Phys. Rev. Lett. 100, 054101 (2008)
N. Baba and K. Krischer Mixed-mode oscillations and cluster patterns in an electrochemical relaxation oscillator under galvanostatic control Chaos 18, 015103 (2008) view online abstract or pdf
2007
A. Birzu and K. Krischer Confined Spatio-Temporal Chaos during Metal Electrodissolution: Simulations Z. Phys. Chem. 221,1245-1254 (2007)
J. Siegmeier, N. Baba and K. Krischer Bistability and oscillations during electrooxidation of H2-CO mixtures on Pt: Modeling and bifurcation analysis J. Phys. Chem. C 111, 13481-13489 (2007)
K. Krischer Von Glühwürmchen und Elektroden: Wie Strukturen aus ungeordneter Materie entstehen Verhandlungen der Gesellschaft Deutscher Naturforscher und Ärzte, 124. Versammlung, Georg Thieme Verlag, Stuttgart (2007)
2006
K. Krischer and E.R. Savinova Fundamentals of Electrocatalysis in G. Ertl, H. Knözinger, F. Schüth and J. Weitkamp, Editors Handbook of Heterogeneous Catalysis Wiley-VCH, ISBN: 978-3-527-31241-2
A. Birzu and K. Krischer Two-dimensional electrochemical turbulence during the electrodissolution of metal disk electrodes: Model calculations Phys. Chem. Chem. Phys., 8, 3659-3668, (2006)
2005
F. Plenge, H. Varela and K. Krischer Pattern formation in stiff oscillatory media with nonlocal coupling: A numerical study of the hydrogen oxidation reaction on Pt electrodes in the presence of poisons Phys. Rev. E72, 066211 (2005)
H. Varela, C. Beta, A. Bonnefont and K. Krischer A hierarchy of global coupling induced cluster patterns during the oscillatory H2-electrooxidation reaction on a Pt ring-electrode Phys. Chem. Chem. Phys. 7, 2429-2439 (2005)
F. Plenge, H. Varela and K. Krischer Asymmetric target patterns in one-dimensional reaction-diffusion-type systems with genuine nonlocal coupling Phys. Rev. Lett 94, 198301 (2005)
S. Malkhandi, A. Bonnefont and K. Krischer Strictly potentiostatic current oscillations during bulk CO electrooxidtiaon on platinum in the presence of inhibiting anions Electrochem. Communications, 7, 710-716 (2005)
H. Varela, C. Beta, A. Bonnefont and K. Krischer Transitions to electrochemical turbulence Phys. Rev. Lett. 94, 174104 (2005)
A. Bonnefont, H. Varela and K. Krischer Stationary spatial patterns during bulk CO electrooxidation on platinum J. Phys. Chem. B, 109, 3408-3415 (2005)
2004
F. Plenge, Y.-J. Li and K. Krischer Spatial bifurcations in the generic N-NDR electrochemical oscillator with negative global coupling: Theory and surface plasmon experiments J. Phys. Chem. B, 108, 14255-14264 (2004)
M. Danckwerts, Y.-J. Li, J. Oslonovitch, B. Pettinger and K.Krischer Adsorption of Camphor on Au(111) and its effect on the electroreduction of Periodate J. Phys. Chem. B, 108, 14398-14406 (2004)
2003
R. Rico-Martínez, K. Krischer, G. Flätgen, J. S. Anderson and I. G. Kevrekidis Adaptive Detection of Instabilities: An Experimental Feasibility Study Physica D 176, 1-18 (2003) (Circuit implementing the Rössler-Model can be downloaded here (in PDF)).
A. Bonnefont, H. Varela, and K.Krischer Stationary small and large amplitude patterns during bulk CO electrooxidation on Pt Chem. Phys. Chem. 4 1260-1263 (2003)
H. Varela, A.Bonnefont, and K. Krischer Trapping electrochemical oscillations between self-organized potential walls Chem. Phys. Chem 4 1348-1351 (2003)
A. Birzu, F. Plenge, N.I. Jaeger, J.L. Hudson and K. Krischer Excitable dynamics during electrodissolution of a metal disk electrode: model calculations Phys. Chem. Chem. Phys. 5 3724-3731 (2003)
K. Krischer, H. Varela, A. Birzu, F. Plenge and A. Bonnefont Stability of uniform electrode states in the presence of ohmic drop compensation Electrochimica Acta, 49 103-115 (2003)
K. Krischer and H. Varela Oscillations and other dynamic instabilities in W. Vielstich, A. Lamm and H. Gasteiger, Editors Handbook of Fuel Cells Vol. 2, Part 6, 679-701 John Wiley & Sons, Ltd (2003)
K. Krischer Nonlinear dynamics in electrochemical systems in R.C. Alkire and D.M. Kolb, Editors Advances in Electrochemical Science and Engineering Vol. 8, 89-208 (2003)
F.Plenge, H. Varela, M. Lübke and K. Krischer Quantitative modeling of the oscillatory electrooxidation of hydrogen on Pt in the presence of poisons Z. Phys. Chem. 217, 365-381 (2003)
J. Oslonovitch, Y.-J. Li, C. Donner and K. Krischer The Fe(CN) /Fe(CN) charge transfer reaction on Au(111) revisited in the presence and absence of a two-dimensional, condensed organic film J. Electroanal. Chem., 541, 163-174 (2003)
A. Birzu, F. Plenge, N.I. Jaeger, J.L. Hudson and K.Krischer Complex spatiotemporal antiphase oscillations during electrodissolution of a meltal disk electrode: Model calculations J. Phys. Chem. B 107, 5825-5835 (2003)
2002
H. Varela and K. Krischer Deciphering the origin of high-order periodic and aperiodic cyclic voltammetric responses during oxidation processes on platinum J. Phys. Chem. B 106, 12258-12266 (2002)
M. Danckwerts, B. Pettinger, K. Krischer and G. Ertl Interplay of camphor adsorption with periodate reduction on Au(111): Electrochemical SHG studies ABSTR PAP AM CHEM S 224, 305-COLL (2002)
B. Pettinger, M. Danckwerts and K. Krischer Organic compound adsorption on Au(111): Simultaneous SHG/electrochemical studies Faraday Disc.121, 153-165 (2002)
2001
F. Plenge, P. Rodin, E. Schöll and K. Krischer Breathing Current Domains in Globally Coupled Electrochemical Systems: A Comparison with a Semiconductor Model Phys. Rev. E 64, 056229 (2001) (electronic version available from arxiv.org or from PRE)
P. Grauel and K. Krischer Fronts and Stationary Domains during Electrochemical H2 Oxidation on Pt: The Impact of the Position of the Reference Electrode on the Spatiotemporal Behavior PCCP 3, 2497-2502 (2001)
H. Varela and K. Krischer Nonlinear Phenomena during Electrochemical Oxidation of Hydrogen on Platinum Electrodes Catalysis Today 70, 411-425 (2001) (electronic reprint available here)
P. Grauel, H. Varela and K. Krischer Spatial Bifurcations of Fixed Points and Limit Cycles during the Electrochemical Oxidation of H2 on Pt Ring-Electrodes Faraday Discussions 120, 165-178 (2001)
Yong-Jun Li, Julia Oslonovitch, Nadia Mazouz, Florian Plenge, Katharina Krischer, Gerhard Ertl Turing-type patterns on electrode surfaces Science 291, 2395-2398 (2001) (electronic reprint available here)
K. Krischer Spontaneous formation of spatiotemporal patterns at the electrode/electrolyte interface J. Electroanal. Chem. 501, 1-21 (2001)
K. Krischer, N. Mazouz and P. Grauel Fronten, Wellen und stationäre Muster in elektrochemischen Systemen (Fronts, waves and stationary structures in electrochemical systems, Int. Ed.) Angew. Chem. 113, 842-863 (2001) Angew. Chem. Int. Ed. 40, 850-861 (2001)
Z. Samec, K. Krischer and K. Doblhofer Reduction of peroxodisulfate on gold(111) covered by surface oxides: Inhibition and coupling between two oxide reduction processes J. Electroanal. Chem. 499, 129-135 (2001)
2000
K. Krischer, N. Mazouz and G. Flätgen Pattern formation in globally coupled electrochemical systems with S-shaped current-potential curve J. Phys. Chem. B 104, 7545-7553 (2000) (electronic reprint available here)
N. Mazouz and K. Krischer A theoretical study on Turing patterns in electrochemical systems J. Phys. Chem. B 104, 6081-6090 (2000) (electronic reprint available here)
1999
K. Krischer Principles of Temporal and spatial pattern formation in electrochemical systems in B.E. Conway, J.o'M. Bockris and R.E. White, Editors Modern Aspects of Electrochemistry Vol 32, 1-142, New York: Plenum Press (1999)
L. Treindl, K. Doblhofer, K. Krischer and Z. Samec Mechanism of the oscillatory reduction of peroxidisulfate on gold (110) at electrode potentials positive to the point of zero charge Electrochim. Acta 44, 3963-3967 (1999)
J.S. Anderson, S.Y. Shvartsman, G. Flätgen, I.G. Kevrekidis, R. Rico-Martinez and K. Krischer Adaptive method for the experimental detection of instabilities Phys. Rev. Lett. 82, 532 - 535 (1999)
H.H. Rotermund, K. Krischer and B. Pettinger Imaging of reaction fronts at surfaces in J. Lipkowski and P.N. Ross, Editors Frontiers of Electrochemistry Vol. Imaging of Surfaces and Interfaces 139-209, New York: VCH Publishers (1999)
1998
P. Grauel, J. Christoph, G. Flätgen and K. Krischer Stationary potential patterns during the reduction of peroxodisulfat at Ag ring electrodes J. Phys. Chem. B 102, 10264-10271 (1998)
N. Mazouz, G. Flätgen, K. Krischer and I.G. Kevrekidis The impact of the operation mode on pattern formation in electrode reactions: From potentiostatic to galvanostatic control J. Electrochem. Soc. 145, 2404-2411 (1998)
1997
D. Battogtokh, M. Hildebrand, K. Krischer and A.S. Mikhailov Nucleation kinetics and global coupling in reaction-diffusion systems Phys. Reports 288, 435-456 (1997)
N. Mazouz, G. Flätgen and K. Krischer Tuning the range of spatial coupling in electrochemical systems: From local via nonlocal to global coupling Phys. Rev. E 55, 2260-2266 (1997)
N. Mazouz, K. Krischer, G. Flätgen and G. Ertl Synchronisation and pattern formation in electrochemical oscillators: Model calculations J. Phys. Chem. B 101, 2403-2410 (1997)
1996
K. Krischer, G. Flätgen, N. Mazouz and G. Ertl Temporal and Spatial Pattern Formation in Electrochemical Systems in H. Engel, F.-J Niederosterheide, H.-G. Purwins and E. Schoell, Editors Selforganisation in Activator-Inhibitor-Systems: Semiconductors, Gas-Discharge and Chemical Active Media 88 - 93 Berlin: Wissenschaft und Technik Verlag (1996)
G. Flätgen, K. Krischer and G. Ertl Spatio-temporal pattern formation during the reduction of peroxodisulfate in the bistable and oscillatory regime: a surface plasmon microscopy study J. Electroanal. Chem. 409, 183-194 (1996)
N. Hartmann, M. Bär, I.G. Kevrekidis, K. Krischer and G. Ertl Rotating chemical waves in small circular domains Phys. Rev. Lett. 76, 1384-1387 (1996)
1995
G. Flätgen, K. Krischer and G. Ertl Investigation of front propagation in an electrochemical system: Experiments and numerical simulations Z. Naturforsch. 50a, 1097-1104 (1995)
W. Wolf, M. Lübke, M.T.M. Koper, K. Krischer, M. Eiswirth and G. Ertl Experimental and theoretical description of potentiostatic current oscillations during H2 oxidation J. Electroanal. Chem. 399, 185-196 (1995)
W. Wolf, K. Krischer, M. Lübke, M. Eiswirth and G. Ertl Modelling oscillations in galvanostatic H2 oxidation at Pt in the presence of metal ions J. Electroanal. Chem. 385, 85-93 (1995)
K. Krischer, M. Lübke, W. Wolf, M. Eiswirth and G. Ertl Oscillatory dynamics of electrochemical oxidation of H2 in the presence of Cu2+: Structure sensitivity and the role of anions Electrochim. Acta 40, 69-81 (1995)
G. Flätgen, K. Krischer, B. Pettinger, K. Doblhofer, H. Junkes, and G. Ertl Two-Dimensional Imaging of Potential Waves in Electrochemical Systems by Surface Plasmon Microscopy Science 269, 668-671 (1995)
G. Flätgen and K. Krischer A general model for pattern formation in electrode reactions J. Chem. Phys. 103, 5428-5436 (1995)
G. Flätgen and K. Krischer Accelerating fronts in an electrochemical system due to global coupling Phys. Rev. E 51, 3997-4004 (1995)
