Kenneth Showalter

Personal Home Page

http://www.wvu.edu/~chemistry/people/KennethShowalter.html

Articles in Scholarly Journals [Incomplete List]

  1. Wave Mediated Synchronization of Nonuniform Oscillatory Media
    Physical Review Letters, vol. 98, no. 7, 2007
  2. Minimum-Risk Path Finding by an Adaptive Amoebal Network
    Physical Review Letters, vol. 99, no. 6, 2007
  3. Resonance Pacemakers in Excitable Media
    Physical Review Letters, vol. 96, no. 24, 2006
  4. Fibonacci order in the period-doubling cascade to chaos
    Physics Letters A, vol. 359, no. 6, pp. 638–639, 2006
  5. Control of waves, patterns and turbulence in chemical systems
    Physics Reports, vol. 425, no. 2-3, pp. 79–194, 2006
  6. Spatiotemporal dynamics of networks of excitable nodes
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 16, no. 1, p. 015110, 2006
  7. Stochastic resonance of electrochemical aperiodic spike trains
    Physical Review E, vol. 71, no. 3, 2005
  8. Wave Front Interaction Model of Stabilized Propagating Wave Segments
    Physical Review Letters, vol. 94, no. 6, 2005
  9. Spatiotemporal Networks in Addressable Excitable Media
    Physical Review Letters, vol. 95, no. 3, 2005
  10. Synchronization of spatiotemporal patterns in locally coupled excitable media
    Physical Review E, vol. 68, no. 2, 2003
  11. Uncertain dynamics in nonlinear chemical reactions
    Physical Chemistry Chemical Physics, vol. 5, no. 24, p. 5444, 2003
  12. Feedback stabilization of unstable propagating waves
    Physical Review E, vol. 65, no. 6, 2002
  13. Design and Control of Wave Propagation Patterns in Excitable Media
    Science, vol. 296, no. 5575, pp. 2009–2012, 2002
  14. Wave Propagation in Subexcitable Media with Periodically Modulated Excitability
    Physical Review Letters, vol. 86, no. 8, pp. 1646–1649, 2001
  15. Spatial Symmetry Breaking in the Belousov-Zhabotinsky Reaction with Light-Induced Remote Communication
    Physical Review Letters, vol. 87, no. 8, 2001
  16. Topographic organization of Hebbian neural connections by synchronous wave activity
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 11, no. 1, p. 287, 2001
  17. Experimental and theoretical studies of feedback stabilization of propagating wave segments
    Faraday Discussions, vol. 120, pp. 383–394, 2001
  18. Coherent structure analysis of spatiotemporal chaos
    Physical Review E, vol. 61, no. 2, pp. 2095–2098, 2000
  19. Self-Segregation of Competitive Chaotic Populations
    Physical Review Letters, vol. 84, no. 21, pp. 5018–5021, 2000
  20. Noise Driven Avalanche Behavior in Subexcitable Media
    Physical Review Letters, vol. 82, no. 4, pp. 855–858, 1999
  21. The Journal of Physical Chemistry A, vol. 103, no. 41, pp. 8246–8251, 1999
  22. Competitive autocatalysis in reaction-diffusion systems Exclusive product selectivity
    Journal of the Chemical Society, Faraday Transactions, vol. 94, no. 1, pp. 53–57, 1998
  23. Nature, vol. 391, no. 6669, pp. 770–772, 1998
  24. Noise sustained waves in subexcitable media: From chemical waves to brain waves
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 8, no. 3, p. 567, 1998
  25. Formation and evolution of scroll waves in photosensitive excitable media
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 8, no. 4, p. 872, 1998
  26. Nonlinear prediction, filtering, and control of chemical systems from time series
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 7, no. 4, p. 614, 1997
  27. Introduction: Control and synchronization of chaos
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 7, no. 4, p. 509, 1997
  28. The Journal of Physical Chemistry A, vol. 101, no. 44, pp. 8200–8206, 1997
  29. Modelling studies of spiral waves and target patterns in premixed flames
    Journal of the Chemical Society, Faraday Transactions, vol. 93, no. 9, pp. 1733–1739, 1997
  30. Wave-induced chaos in a continuously fed unstirred reactor
    Journal of the Chemical Society, Faraday Transactions, vol. 92, no. 16, p. 2911, 1996
  31. The Journal of Physical Chemistry, vol. 100, no. 31, pp. 13132–13147, 1996
  32. The Journal of Physical Chemistry, vol. 100, no. 49, pp. 18970–18975, 1996
  33. Nonlinear Control of Dynamical Systems from Time Series
    Physical Review Letters, vol. 76, no. 18, pp. 3312–3315, 1996
  34. Wave-Induced Chemical Chaos
    Physical Review Letters, vol. 76, no. 3, pp. 546–549, 1996
  35. Spiral Wave Formation in Three-Dimensional Excitable Media
    Physical Review Letters, vol. 77, no. 15, pp. 3244–3247, 1996
  36. Tracking Unstable Turing Patterns through Mixed-Mode Spatiotemporal Chaos
    Physical Review Letters, vol. 75, no. 15, pp. 2895–2898, 1995
  37. Stabilizing and characterizing unstable states in high-dimensional systems from time series
    Physical Review E, vol. 51, no. 5, pp. 3988–3996, 1995
  38. Instabilities in propagating reaction-diffusion fronts of the iodate-arsenous acid reaction
    The Journal of Chemical Physics, vol. 102, no. 6, p. 2471, 1995
  39. Logic gates in excitable media
    The Journal of Chemical Physics, vol. 103, no. 6, p. 2058, 1995
  40. Controlling spatiotemporal dynamics of flame fronts
    The Journal of Chemical Physics, vol. 101, no. 8, p. 6606, 1994
  41. Tracking unstable periodic orbits in the Belousov-Zhabotinsky reaction
    Physical Review Letters, vol. 72, no. 18, pp. 2955–2958, 1994
  42. Journal of Physical Chemistry, vol. 98, no. 2, pp. 522–531, 1994
  43. Journal of Physical Chemistry, vol. 98, no. 26, pp. 6505–6508, 1994
  44. Controlling chaos in the Belousov—Zhabotinsky reaction
    Nature, vol. 361, no. 6409, Article ID 361240a0, 3 pages, 1993
  45. Instabilities in propagating reaction-diffusion fronts
    The Journal of Chemical Physics, vol. 98, no. 8, p. 6332, 1993
  46. A map-based algorithm for controlling low-dimensional chaos
    The Journal of Chemical Physics, vol. 96, no. 10, p. 7506, 1992
  47. Mixed-mode oscillations in chemical systems
    The Journal of Chemical Physics, vol. 97, no. 9, p. 6191, 1992
  48. Journal of Physical Chemistry, vol. 96, no. 22, pp. 8702–8711, 1992
  49. Journal of Physical Chemistry, vol. 95, no. 3, pp. 1299–1306, 1991
  50. Journal of Physical Chemistry, vol. 95, no. 13, pp. 4957–4959, 1991
  51. Cross-membrane coupling of chemical spatiotemporal patterns
    Nature, vol. 351, no. 6322, Article ID 351132a0, 3 pages, 1991
  52. Onset of convection for autocatalytic reaction fronts: Laterally unbounded system
    Physical Review A, vol. 43, no. 2, pp. 749–760, 1991
  53. Transverse coupling of chemical waves
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 1, no. 4, p. 435, 1991
  54. Transient chaos in a closed chemical system
    The Journal of Chemical Physics, vol. 94, no. 2, p. 1134, 1991
  55. Erratum: Transient chaos in a closed chemical system [J. Chem. Phys. 94, 1134 (1991)]
    The Journal of Chemical Physics, vol. 95, no. 3, p. 2227, 1991
  56. Single and double rotor spiral waves on spherical surfaces
    Reaction Kinetics and Catalysis Letters, vol. 42, no. 2, pp. 263–274, 1990
  57. Journal of Physical Chemistry, vol. 94, no. 12, pp. 4973–4979, 1990
  58. Journal of Physical Chemistry, vol. 94, no. 13, pp. 5243–5246, 1990
  59. Chemical waves on spherical surfaces
    Nature, vol. 339, no. 6226, Article ID 339609a0, 2 pages, 1989
  60. Regular and irregular spatial patterns in an immobilized-catalyst Belousov-Zhabotinskii reaction
    Journal of Physical Chemistry, vol. 93, no. 7, pp. 2774–2780, 1989
  61. Relaxation behavior in a bistable chemical system. Plateau behavior
    The Journal of Chemical Physics, vol. 91, no. 2, p. 938, 1989
  62. Period lengthening and associated bifurcations in a two-variable, flow Oregonator
    The Journal of Chemical Physics, vol. 88, no. 2, p. 778, 1988
  63. Journal of the American Chemical Society, vol. 109, no. 16, pp. 4869–4876, 1987
  64. Journal of Physical Chemistry, vol. 90, no. 2, pp. 225–226, 1986
  65. Journal of Physical Chemistry, vol. 89, no. 10, pp. 2118–2119, 1985
  66. Relaxation behavior in a bistable chemical system near the unstable steady state and separatrix
    The Journal of Chemical Physics, vol. 83, no. 3, p. 1101, 1985
  67. Bistability, mushrooms, and isolas
    The Journal of Chemical Physics, vol. 80, no. 9, p. 4177, 1984
  68. Journal of the American Chemical Society, vol. 106, no. 3, pp. 816–817, 1984
  69. Journal of Physical Chemistry, vol. 87, no. 7, pp. 1098–1099, 1983
  70. Journal of the American Chemical Society, vol. 104, no. 14, pp. 3838–3844, 1982
  71. Journal of the American Chemical Society, vol. 103, no. 23, pp. 7012–7013, 1981
  72. Journal of Physical Chemistry, vol. 85, no. 4, pp. 440–447, 1981
  73. Journal of Physical Chemistry, vol. 85, no. 15, pp. 2152–2155, 1981
  74. Journal of Physical Chemistry, vol. 85, no. 17, pp. 2575–2582, 1981
  75. Pattern formation in a ferroin-bromate system
    The Journal of Chemical Physics, vol. 73, no. 8, p. 3735, 1980
  76. Journal of the American Chemical Society, vol. 101, no. 25, pp. 7463–7469, 1979
  77. Journal of the American Chemical Society, vol. 100, no. 4, pp. 1042–1049, 1978
  78. A modified Oregonator model exhibiting complicated limit cycle behavior in a flow system
    The Journal of Chemical Physics, vol. 69, no. 6, p. 2514, 1978
  79. Journal of the American Chemical Society, vol. 98, no. 12, pp. 3730–3731, 1976
  80. Journal of the American Chemical Society, vol. 98, no. 25, pp. 8087–8093, 1976