• Michael A. Radin


We observe patterns every day throughout our lives. For instance, traffic patterns as we are driving, musical patterns as we are playing an instrument, nature’s patterns such as clouds’ cadence and rhythm of waves as we are spending time outdoors, weather patterns as we are traveling, patterns as we are writing computer programs, when studying psychological behavioral patterns, and mathematical patterns as we are solving particular math problems. Sometimes patterns repeat at the same scale and at other times patterns repeat at different scales.


  1. 23.
    E.M. Izhikevich, Simple Model of Spiking Neurons, IEEE Transactions on Neural Networks, (14)(6)(2003), 1569–1572.MathSciNetCrossRefGoogle Scholar
  2. 33.
    Pisarchik, A.N., Radin, M.A., Vogt, R., Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions. Discrete Dynamics in Nature and Society 2015, Article ID 147282, 6 pages (2015)Google Scholar

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Authors and Affiliations

  • Michael A. Radin
    • 1
  1. 1.School of Mathematical SciencesRochester Institute of TechnologyRochesterUSA

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