Publications
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2023
B. Ahmed, D. Mersing, M. R. Tinsley, and K. Showalter, "Propagating wave merging in a precipitation reaction ," Chaos 33, 042105 (2023).
2021
D. Mersing, S. A. Tyler, B. Ponboonjaroenchai, M. R. Tinsley, and K. Showalter, "Novel modes of synchronization in star networks of coupled chemical oscillators," Chaos 31(9), 093127 (2021).
2020
S. J. S. Jamaluddin, K. Khaothong, M. R. Tinsley, and K. Showalter, "Photochemical motion control of surface active Belousov-Zhabotinsky droplets ," Chaos 30, 083143-1-10 (2020).
J. F. Totz, M. R. Tinsley, H. Engel, and K. Showalter, "Transition from spiral wave chimeras to phase cluster states," Sci Rep 10 (1), 7821-7821 (2020).
Supplementary information
2019
P. Porjai, M. Sutthiopad, K. Khaothong, M. Phantu, N. Kumchaiseemak, J. Luengviriya, K. Showalter, and C. Luengviriya, "Twisted scroll wave dynamics: partially pinned waves in excitable chemical media," Phys. Chem. Chem. Phys. (2019). DOI: 10.1039/c8cp06948d
2018
D. Wilson, S. Faramarzi, J. Moehlis, M. R. Tinsley, and K. Showalter, "Synchronization of heterogeneous oscillator populations in response to weak and strong coupling," Chaos 28(12), 123114 (2018).
D. Yengi, M. R. Tinsley, and K. Showalter, "Autonomous cycling between excitatory and inhibitory coupling in photosensitive chemical oscillators," Chaos 28, 045114 (2018).
U. Feudel, A. N. Pisarchik, and K. Showalter, "Multistability and tipping: From mathematics and physics to climate and brain - Minireview and preface to the focus issue," Chaos 28, 033501 (2018).
J. F. Totz, J. Rode, M. R. Tinsley, K. Showalter, and H. Engel, "Spiral wave chimera states in large populations of coupled chemical oscillators," Nature Physics 14, 282-285 (2018). Click the following link to access: nature
2016
T. Chen, M. R. Tinsley, E. Ott, and K. Showalter, "Echo Behavior in Large Populations of Chemical Oscillators," Physical Review X 6, 041054 (2016).
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D. Ehrenstein, Physics, Synopsis - Chemical Echo
Simbarashe Nkomo, Mark R. Tinsley, and Kenneth Showalter, ''Chimera and chimera-like states in populations of nonlocally coupled homogeneous and heterogeneous chemical oscillators,'' Chaos 26, 094826 (2016).
2015
R. Snari, M. R. Tinsley, D. Wilson, S. Faramarzi, T. I. Netoff, J. Moehlis, and K. Showalter, '' Desynchronization of Stochastically Synchronized Chemical Oscillators," Chaos 25, 123116 (2015).
J. F. Totz, R. Snari, D. Yengi, M. R. Tinsley, H. Engel, and K. Showalter, '' Phase-Lag Synchronization in Networks of Coupled Chemical Oscillators," Phys. Rev. E 92, 022819 (2015).
A. F. Taylor, M. R. Tinsley, and K. Showalter, '' Insights into collective cell behaviour from populations of coupled chemical oscillators," Phys. Chem. Chem. Phys. 17, 20047-20055 (2015).
M. R. Tinsley, D. Collison and K. Showalter, '' Three-dimensional modeling of propagating precipitation waves," Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (6), 064306 (2015).
Kenneth Showalter and Irving R. Epstein, '' From chemical systems to systems chemistry: Patterns in space and time," Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (9), 097613 (2015).
2014
H. Ke, M. R. Tinsley, A. Steele, F. Wang and K. Showalter, '' Link weight evolution in a network of coupled chemical oscillators," Phys. Rev. E 89, 052712 (2014).
M. S. Patel, U. Patel, A. Sen, G. C. Sethia, C. Hens, S. K. Dana, U. Feudel, K. Showalter, C. N. Ngonghala, and R. E. Amritkar, '' Experimental observation of extreme multistability in an electronic system of two coupled Rossler oscillator," Phys. Rev. E 89, 022918 (2014).
2013
M. R. Tinsley, D. Collison, and K. Showalter, '' Propagating Precipitation Waves: Experiments and Modeling," The Journal of Physical Chemistry A 117, 12719-12725 (2013).
S. Nkomo, M. R. Tinsley, and K. Showalter, '' Chimera States in Populations of Nonlocally Coupled Chemical Oscillators," Phys. Rev. Lett. 110, 244102 (2013).
2011
S. Bahar, A. B. Neiman, P. Jung, J. Kurths, L. Schimansky-Geier, and K. Showalter, '' Introduction to Focus Issue: Nonlinear and Stochastic Physics in Biology," Chaos 21 (4) (2011).
M. R. Tinsley, A. F. Taylor, Z. Huang, and K. Showalter, '' Complex organizing centers in groups of oscillatory particles," PCPP 13 (39), 17802-17808 (2011).
A. F. Taylor,M. R. Tinsley, F. Wang, and K. Showalter, '' Phase Clusters in Large Populations of Chemical Oscillators," Angew. Chem.-Int. Edit. 50 (43), 10161-10164 (2011).
C. Ngonghala, U. Feudel, and K. Showalter, '' Extreme multistability in a chemical model system," Phys. Rev. E 83(5), 056206 (2011).
2010
Hua Ke, Shengrong Ye, R. Lloyd Carroll, and Kenneth Showalter, '' Motion Analysis of Self-Propelled Pt-Silica Particles in Hydrogen Peroxide Solutions," J. Phys. Chem. A 114, 5462-5467 (2010).
Mark R. Tinsley, Annette F. Taylor, Zhaoyang Huang, Fang Wang and Kenneth Showalter, '' Dynamical Quorum Sensing and Synchronization in Collections of Excitable and Oscillatory Catalytic Particles," Physica D 239, 785-790 (2010).
2009
Mark R. Tinsley, Annette F. Taylor, Zhaoyang Huang, and Kenneth Showalter, '' Emergence of Collective Behavior in Groups of Excitable Catalyst-Loaded Particles: Spatiotemporal Dynamical Quorum Sensing," Phys. Rev. Lett. 102, 158301-1-4 (2009).
A. F. Taylor, M. R. Tinsley, F. Wang, Z. Huang, and K. Showalter, '' Dynamical Quorum Sensing and Synchronization in Large Populations of Chemical Oscillations," Science 323, 614-617 (2009). '' Supporting Online Material."
2008
M. R. Tinsley, A. J. Steele, and K. Showalter, '' Collective Behavior of Particle-Like Chemical Waves," Eur. Phys. J. Special Topics 165, 161-167 (2008).
A. J. Steele, M. R. Tinsley, and K. Showalter, '' Collective Behavior of Stabilized Reaction-Diffusion Waves," Chaos 18, 026108-1-8 (2008).
A. S. Mikhailov and K. Showalter, "Introduction to Focus Issue: Design and Control of Self-Organization in Distributed Active Systems," Chaos 18, 026101-1-3 (2008).
2007
T. Nakagaki, M. Iima, T. Ueda, Y. Nishiura, T. Saigusa, A. Tero, R. Kobayashi, and K. Showalter, "Minimum-Risk Path Finding by an adaptive Amoedal Network," Phys. Rev. Lett. 99, 068104-1-4 (2007).
O.-U. Kheowan, E. Mihaliuk, B. Blasius, I. Sendiña-Nadal, and K. Showalter, "Wave Mediated Synchronization of Nonuniform Oscillatory Media," Phys. Rev. Lett. 98, 074101 (2007).
2006
T. R. Chigwada, P. Parmananda, and K. Showalter, "Resonance Pacemakers in Excitable Media," Phys. Rev. Lett. 96, 244101-1-4 (2006).
A. J. Steele, M. R. Tinsley, and K. Showalter, "Spatiotemporal Dynamics of Networks of Excitable Nodes," Chaos 16, 015110-1-9 (2006).
A. S. Mikhailov and K. Showalter, "Control of Waves, Patterns and Turbulence in Chemical Systems," Physics Reports 425, 79-194 (2006).
2005
M. Tinsley, J. Cui, F. V. Chirila, A. Taylor, S. Zhong, and K. Showalter, "Spatiotemporal networks in addressable excitable media," Phys. Rev. Lett. 95, 038306 (1-4) (2005).
P. Parmananda, G. J. E. Santos, M. Rivera, and K. Showalter, "Stochastic resonance of electrochemical aperiodic spike trains," Phys. Rev. E 71, 0311101-6 (2005).
V. S. Zykov and K. Showalter, "Wave front interaction model of stabilized propagating wave segments," Phys. Rev. Lett. 94, 0683021-4 (2005).
2003
J. Wang, H. Sun, S. K. Scott, and K. Showalter, "Uncertain Dynamics in Nonlinear Chemical Reactions," Phys. Chem. Chem. Phys. 5, 5444-5447 (2003).
R. Wackerbauer and K. Showalter, "Collapse of Spatiotemporal Chaos," Phys. Rev. Lett. 91, 1741031-4 (2003).
M. Hildebrand, J. Cui, E. Mihaliuk, J. Wang, and K. Showalter, "Synchronization of Spatiotemporal Patterns in Locally Coupled Excitable Media," Phys. Rev. E 68, 0262051-4 (2003).
2002
T. Sakurai, E. Mihaliuk, F. Chirila, and K. Showalter, "Design and Control of Wave Propagation Patterns in Excitable Media," Science 296, 2009-2012 (2002).
E. Mihaliuk, T. Sakurai, F. Chirila, and K. Showalter, "Feedback Stabilization of Unstable Propagating Waves," Phys. Rev. E 65, 0656021-4 (2002).
E. Mihaliuk, T. Sakurai, F. Chirila, and K. Showalter, "Experimental and Theoretical Studies of Feedback Stabilization of Propagating Wave Segments," Faraday Discussions, Roy. Chem. Soc. 120, 383-394 (2002).
2001
M. Hildebrand, H. Skødt, and K. Showalter, "Spatial Symmetry Breaking in the Belousov-Zhabotinsky Reaction with Light-Induced Remote Communication," Phys. Rev. Lett. 87, 883031-4 (2001).
E. Mihaliuk, R. Wackerbauer, and K. Showalter, "Topographic Organization of Hebbian Neural Connections by Synchronous Wave Activity," CHAOS 11, 287-292 (2001).
I. Sendiña-Nadal, E. Mihaliuk, J. Wang, V. Pérez-Muñuzuri, and K. Showalter, "Wave Propagation in Subexcitable Media with Periodically Modulated Excitability," Phys. Rev. Lett. 86, 1646-1649 (2001).
2000
K. Showalter, "Controlling Chaos in Dynamical Systems," in Self-Organized Biological Dynamics and Nonlinear Control, edited by J. Walleczek (Cambridge University Press, Cambridge, 2000), pp. 328-340.
R. Wackerbauer, H. Sun, and K. Showalter, "Self-Segregation of Competitive Chaotic Populations," Phys. Rev. Lett. 84, 5018-5021 (2000).
P. Jung, J. Wang, R. Wackerbauer, and K. Showalter, "Coherent Structure Analysis of Spatiotemporal Chaos," Phys. Rev. E 61, 2095-2098 (2000).
1999
J. Wang, S. Kádár, P. Jung, and K. Showalter, "Noise Driven Avalanche Behavior in Subexcitable Media," Phys. Rev. Lett. 82, 855-888 (1999).
E. Mihaliuk, H. Skødt, F. Hynne, P.G. Sørensen, and K. Showalter, "Normal Modes for Chemical Reactions from Time Series Analysis," J. Phys. Chem. 103, 8246-8251 (1999).
H. Sun, S.K. Scott, and K. Showalter, "Uncertain Destination Dynamics," Phys. Rev. E 60, 3876-3880 (1999).
1998
S. Kádár, J. Wang, and K. Showalter, "Noise Supported Traveling Waves in Subexcitable Media," Nature 391, 770-772 (1998).
P. Jung, A. Cornell-Bell, F. Moss, S. Kádár, J. Wang, and K. Showalter, "Noise sustained waves in subexcitable media: From chemical waves to brain waves," Chaos 8, 567-575 (1998).
T. Amemiya, P. Kettunen, S. Kádár, T. Yamaguchi, and K. Showalter, "Formation and Evolution of Scroll Waves in Photosensitive Excitable Media," Chaos 8, 872-878 (1998).
T. Amemiya, P. Kettunen, S. Kádár, T. Yamaguchi, and K. Showalter, "Perturbation-Induced Scroll Waves in Photosensitive Excitable Media,"in Proceedings of the 4th Experimental Chaos Conference, edited by W. L. Ditto, L. Pecora, M. Shlesinger, M. Spano, and S. Vohra (World Scientific, Singapore, 1998), pp. 19-24.
J. H. Merkin, A. J. Poole, S. K. Scott, J. Masere and K. Showalter, "Competitive Autocatalysis in Reaction-Diffusion Systems: Exclusive Product Selectivity," Faraday Transactions, Roy. Chem. Soc. 94, 53-58 (1998).
1997
R. Larter and K. Showalter, "Computational Studies in Nonlinear Dynamics," Reviews in Computational Chemistry, edited by K.B. Lipkowitz and D.B. Boyd, (VCH Publishers, New York, NY, 1997), pp. 177-270.
S. K. Scott, J. Wang, and K. Showalter, "Modeling Studies of Spiral Waves and Target Patterns in Premixed Flames," Faraday Transactions, Roy. Chem. Soc. 93, 1733-1739 (1997).
S. Kádár, T. Amemiya, and K. Showalter, "Reaction Mechanism for Light Sensitivity of the Ru(bpy)32+-Catalyzed Belousov-Zhabotinsky Reaction," J. Phys. Chem. 101, 8200-8206 (1997).
W. L. Ditto and K. Showalter, "Introduction: Control and Synchronization of Chaos," Chaos 7, 509-511 (1997).
V. Petrov and K. Showalter, "Nonlinear Prediction, Filtering, and Control of Chemical Systems from Time Series," Chaos 7, 614-620 (1997).
1996
J. H. Merkin, V. Petrov, S. K. Scott, and K. Showalter, "Wave-Induced Chemical Chaos," Phys. Rev. Lett. 76, 546-549 (1996).
V. Petrov and K. Showalter, "Nonlinear Control of Dynamical Systems from Time Series," Phys. Rev. Lett. 76, 3312-3315 (1996).
I. R. Epstein and K. Showalter, Feature Article, Centennial Issue: "Nonlinear Chemical Dynamics: Oscillations, Patterns and Chaos," J. Phys. Chem. 100, 13132-13147 (1996).
J. H. Merkin, V. Petrov, S. K. Scott, and K. Showalter, "Wave-Induced Chaos in a Continuously-Fed Unstirred Reactor," Faraday Transactions, Roy. Chem. Soc. 92, 2911-2918 (1996).
O. Steinbock, P. Kettunen, and K. Showalter, "Chemical Wave Logic Gates," J. Phys. Chem. 100, 18970-18975 (1996).
T. Amemiya, S. Kádár, P. Kettunen, and K. Showalter, "Spiral Wave Formation in Three-Dimensional Excitable Media," Phys. Rev. Lett. 77, 3244-3247 (1996).
1995
S. K. Scott and K. Showalter, "Simple and Complex Reaction-Diffusion Fronts," in Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer, Dordrecht, 1995), pp. 485-516.
D. Horváth and K. Showalter, "Instabilities in Propagating Reaction-Diffusion Fronts of the Iodate-Arsenous Acid Reaction," J. Chem. Phys. 102, 2471-2478 (1995).
O. Steinbock, Á. Tóth, and K. Showalter, "Navigating Complex Labyrinths: Optimal Paths from Chemical Waves," Science 267, 868-871 (1995).
K. Showalter, Cover Article: "Bringing Out the Order in Chaos," Chemistry in Britain 31, 202-205 (1995).
V. Petrov, M. F. Crowley, and K. Showalter, "Stabilizing and Tracking Unstable Periodic Orbits in Chemical Systems," in Proceedings of the 2nd Experimental Chaos Conference, edited by W. Ditto, L. Pecora, M. Shlesinger, M. Spano, and S. Vohra (World Scientific, Singapore, 1995), pp. 288-303.
V. Petrov, E. Mihaliuk, S. K. Scott, and K. Showalter, "Stabilizing and Characterizing Unstable States in High Dimensional Systems from Time Series," Phys. Rev. E. 51, 3988-3996 (1995).
Á. Tóth and K. Showalter, "Logic Gates in Excitable Media," J. Chem. Phys. 103, 2058-2066 (1995).
K. Showalter, Cover Article: "Quadratic and Cubic Reaction-Diffusion Fronts," Nonlinear Science Today 4, 1-10 (1995).
O. Steinbock, P. Kettunen, and K. Showalter, "Anisotropy and Spiral Organizing Centers in Patterned Excitable Media," Science 269, 1857-1860 (1995).
V. Petrov, S. Metens, P. Borckmans, G. Dewel, and K. Showalter, "Tracking Unstable Turing Patterns through Mixed-Mode Spatiotemporal Chaos," Phys. Rev. Lett. 75, 2895-2899 (1995).
R. Kapral and K. Showalter, Eds., "Chemical Waves and Patterns," (Kluwer Academic Publishers, Dordrecht, 1995)
1994
Á. Tóth, V. Gáspár, and K. Showalter, "Signal Transmission in Chemical Systems: Propagation of Chemical Waves through Capillary Tubes," J. Phys. Chem. 98, 522-531 (1994).
V. Petrov, M. F. Crowley, and K. Showalter, "Tracking Unstable Periodic Orbits in the Belousov-Zhabotinsky Reaction," Phys. Rev. Lett. 72, 2955-2958 (1994).
V. Petrov, S. K. Scott, and K. Showalter, "Excitability, Wave Reflection, and Wave Splitting in a Cubic Autocatalysis Reaction-Diffusion System," Phil. Trans. Roy. Soc. Lond. A 443, 631-642 (1994).
J. Masere, D. A. Vasquez, B. F. Edwards, J. W. Wilder, and K. Showalter, "Nonaxisymmetric and Axisymmetric Convection in Propagating Reaction-Diffusion Fronts," J. Phys. Chem. 98, 6505-6508 (1994).
V. Petrov, M. F. Crowley, K. Showalter, "Controlling Spatiotemporal Dynamics of Flame Fronts," J. Chem. Phys. 101, 6606-6614 (1994).
V. Petrov, M. F. Crowley, and K. Showalter, "An Adaptive Control Algorithm for Tracking Unstable Periodic Orbits," Int. J. Bifurcation and Chaos 4, 1311-1317 (1994).
1993
D. Horváth, V. Petrov, S. K. Scott, and K. Showalter, "Instabilities in Propagating Reaction-Diffusion Fronts," J. Chem. Phys. 98, 6332-6343 (1993).
V. Petrov, V. Gáspár, J. Masere, and K. Showalter, "Controlling Chaos in the Belousov-Zhabotinsky Reaction," Nature 361, 240-243 (1993).
K. Showalter, "In and Out of Chaos," The World & I 11, 192-199 (1993).
1992
V. Petrov, B. Peng, and K. Showalter, "A Map-Based Algorithm for Controlling Low-Dimensional Chaos," J. Chem. Phys. 96, 7506-7513 (1992).
B. Peng, V. Petrov, and K. Showalter, "Controlling Low-Dimensional Chaos by Proportional Feedback," Physica A 188, 210-216 (1992).
V. Petrov, S. K. Scott, and K. Showalter, "Mixed-Mode Oscillations in Chemical Systems," J. Chem. Phys. 97, 6191-6198 (1992).
S. K. Scott and K. Showalter, Feature Article: "Simple and Complex Reaction-Diffusion Fronts," J. Phys. Chem. 96, 8702-871 1 (1992).
1991
B. F. Edwards, J. W. Wilder, and K. Showalter, "Onset of Convection for Autocatalytic Reaction Fronts: Laterally Unbounded System," Phys. Rev. A 43, 749-760 (1991).
S. K. Scott, B. Peng, A. S. Tomlin, and K. Showalter, "Transient Chaos in a Closed Chemical System," J. Chem. Phys. 94, 1134-1140 (1991).
J. Maselko and K. Showalter, "Chemical Waves in Inhomogeneous Excitable Media," Physica D 49, 21-32 (1991).
J. A. Pojman, I. R. Epstein, T. J. McManus, and K. Showalter, "Convective Effects on Chemical Waves. Simple Convection in the Iodate-Arsenous Acid System," J. Phys. Chem. 95, 1299-1306 (1991).
D. Winston, M. Arora, J. Maselko, V. Gáspár, and K. Showalter, "Cross-Membrane Coupling of Chemical Spatiotemporal Patterns," Nature 351, 132-134 (1991).
B. Peng, V. Petrov, and K. Showalter, "Controlling Chemical Chaos," J. Phys. Chem. 95, 4957-4959 (1991).
B. Peng, V. Gáspár, and K. Showalter, "False Bifurcations in Chemical Systems: Canards," Phil. Trans. Roy. Soc. 337, 275-289 (1991).
V. Gáspár, J. Maselko, and K. Showalter, "Transverse Coupling of Chemical Waves," Chaos 1, 435-444 (1991).
P. Gray, K. Showalter, and S. K. Scott, "The Influence of the Form of Autocatalysis on the Speed of Chemical Waves," Phil. Trans. Roy. Soc. 337, 249-260 (1991).
1990
V. Gáspár and K. Showalter, "A Simple Model for the Oscillatory Iodate Oxidation of Sulfite and Ferrocyanide," J. Phys. Chem. 94, 4973-4979 (1990).
B. Peng, S. K. Scott, and K. Showalter, "Period Doubling and Chaos in a Three-Variable Autocatalator," J. Phys. Chem. 94, 5243-5246 (1990).
J. Maselko and K. Showalter, "Single- and Double-Rotor Spiral Waves on Spherical Surfaces," React. Kinet. Catal. Lett. 42, 263-274 (1990).
1989
V. Gáspár, B. Peng, and K. Showalter, "Saddle-Loop Bifurcations in a Two-Variable, Flow Oregonator," in Spatial Inhomogeneities and Transient Behavior in Chemical Kinetics, Nicolis, G., Gray, P., Baras, F., Borckmans, P., Scott, S. K., Eds.; Manchester Press: Manchester, 1989, pp. 277-288.
K. Showalter, "Conclusions and Perspectives," in Spatial Inhomogeneities and Transient Behavior in Chemical Kinetics, Nicolis, G., Gray, P., Baras, F., Borckmans, P., Scott, S.K., Eds.; Manchester Press: Manchester, 1989, pp. 611-618.
J. Maselko, J. S. Reckley, and K. Showalter, "Regular and Irregular Spatial Patterns in an Immobilized-Catalyst, Belousov-Zhabotinsky Reaction," J. Phys. Chem. 93, 2774-2780 (1989).
J. Maselko and K. Showalter, "Chemical Waves on Spherical Surfaces," Nature 339, 609-611 (1989).
N. Ganapathisubramanian, J. S. Reckley, and K. Showalter, "Relaxation Behavior in a Bistable Chemical System. Plateau Behavior," J. Chem. Phys. 91, 938-942 (1989).
K. Showalter, Book Review of "A Primer of Diffusion Problems," J. Am. Chem. Soc. 111, 9138 (1989).
1988
V. Gáspár and K. Showalter, "Period Lengthening and Associated Bifurcations in a Two-Variable, Flow Oregonator," J. Chem. Phys. 88, 778-791 (1988).
1987
K. Showalter and J. J. Tyson, "Luther's 1906 Discovery and Analysis of Chemical Waves," J. Chem. Ed. 64, 742-744 (1987).
V. Gáspár and K. Showalter, "The Oscillatory Landolt Reaction. Empirical Rate Law and Detailed Mechanism," J. Am. Chem. Soc. 109, 4869-4876 (1987).
K. Showalter, "Chemical Waves" in Kinetics of Nonhomogeneous Processes, Freeman, G., Ed.; Wiley-Interscience: New York, 1987, pp. 769-821.
P. Gray, K. Showalter, and S. K. Scott, "Propagating Reaction-Diffusion Fronts with Cubic Autocatalysis: The Effects of Reversibility," J. Chim. Physique 84, 1329-1333 (1987).
R. Arnold, K. Showalter, and J. J. Tyson, Translation of "Propagation of Chemical Reactions in Space" by R. Luther, J. Chem. Ed. 64, 740-742 (1987).
1986
J. Harrison and K. Showalter, "Propagating Acidity Fronts in the Iodate-Arsenous Acid Reaction," J. Phys. Chem. 90, 225-226 (1986).
N. Ganapathisubramanian and K. Showalter, "Relaxation Behavior in a Bistable Chemical System Near the Critical Point and Hysteresis Limits," J. Chem. Phys. 84, 5427-5436 (1986).
K. Showalter, Book Review of "Temporal Order," Applied Optics 25, 2680 (1986).
1985
N. Ganapathisubramanian and K. Showalter, "Comment on 'A New Iodate Driven Nonperiodic Oscillatory Reaction in a Continuously Stirred Tank Reactor'," J. Phys. Chem. 89, 2118-2119 (1985).
T. Pifer, N. Ganapathisubramanian, and K. Showalter, "Relaxation Behavior in a Bistable Chemical System Near the Unstable Steady State and Separatrix," J. Chem. Phys. 83, 1101-1110 (1985).
A. Saul and K. Showalter, "Propagating Reaction-Diffusion Fronts" in Oscillations and Traveling Waves in Chemical Systems, Field, R. J., Burger, M., Eds.; Wiley-Interscience: New York, 1985, pp. 419-439.
1984
N. Ganapathisubramanian and K. Showalter, "Washout Effects in Pumped Tank Reactors," J. Am. Chem. Soc. 106, 816-817 (1984).
N. Ganapathisubramanian and K. Showalter, "Bistability, Mushrooms, and Isolas," J. Chem. Phys. 80, 4177-4184 (1984).
T. Pifer, N. Ganapathisubramanian, and K. Showalter, "Measurements and Modelling of Unstable Steady State, Separatrix, and Critical Point Behavior" in Non-Equilibrium Dynamics in Chemical Systems; Vidal, C., Pacault, A., Eds.; Springer-Verlag: New York, 1984; Vol. 27, pp. 50-54.
1983
N. Ganapathisubramanian and K. Showalter, "Critical Slowing Down in the Bistable Iodate-Arsenic(III) Reaction," J. Phys. Chem. 87, 1098-1099, 4014 (1983).
1982
A. Hanna, A. Saul, and K. Showalter, "Detailed Studies of Propagating Fronts in the Iodate Oxidation of Arsenous Acid," J. Am. Chem. Soc. 104, 3838-3844 (1982).
1981
K. Showalter, "Trigger Waves in the Acidic Bromate Oxidation of Ferroin," J. Phys. Chem. 85, 440-447 (1981).
T. A. Gribschaw, K. Showalter, D. L. Banville, and I. R. Epstein, "Chemical Waves in the Acidic Iodate Oxidation of Arsenite," J. Phys. Chem. 85, 2152-2155 (1981).
G. A. Papsin, A. Hanna, and K. Showalter, "Bistability in the Iodate Oxidation of Arsenous Acid," J. Phys. Chem. 85, 2575-2582 (1981).
J. S. Reckley and K. Showalter, "Kinetic Bistability in the Permanganate Oxidation of Oxalate," J. Am. Chem. Soc. 103, 7012-7013 (1981).
A. Hanna, A. Saul, and K. Showalter, "Chemical Waves in the Iodate-Arsenous Acid System" in Nonlinear Phenomena in Chemical Dynamics; Vidal, C., Pacault, A., Eds.; Springer-Verlag: New York, 1981; Vol. 12, pp. 160-165.
1980
K. Showalter, "Pattern Formation in a Ferroin-Bromate System," J. Chem. Phys. 73, 3735-3742 (1980).
1979
K. Showalter, R. M. Noyes, and H. Turner, "Detailed Studies of Trigger Wave Initiation and Detection," J. Am. Chem. Soc. 101, 7463-7469 (1979).
K. Showalter, Book Review of "Synergetics," J. Am. Chem. Soc. 101, 3708 (1979).
1978
K. Showalter and R. M. Noyes, "Oscillations in Chemical Systems. 24. Oscillatory Decomposition of Formic Acid in Sulfuric Acid," J. Am. Chem. Soc. 100, 1042-1049 (1978).
K. Showalter, R. M. Noyes, and K. Bar-Eli, "A Modified Oregonator Model Exhibiting Complicated Limit Cycle Behavior in a Flow System," J. Chem. Phys. 69, 2514-2524 (1978).
1976
K. Showalter and R. M. Noyes, "Oscillations in Chemical Systems. 15. Deliberate Generation of Trigger Waves of Chemical Reactivity," J. Am. Chem. Soc. 98, 3730 (1976).
K. Showalter and E. L. King, "Studies of Propanediol-Chromium (III) Species in Acidic Solution," J. Am. Chem. Soc. 98, 8087-8093 (1976).