Applied and Computational Mathematics

Volume 11, Issue 1, February 2022

  • A Quantitative Reasoning Framework and the Importance of Quantitative Modeling in Biology

    Robert Mayes, David Owens, Joseph Dauer, Kent Rittschof

    Issue: Volume 11, Issue 1, February 2022
    Pages: 1-17
    Received: Aug. 20, 2021
    Accepted: Oct. 09, 2021
    Published: Jan. 18, 2022
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    Abstract: Biology is becoming more quantitative. If we are to support the future of quantitative biology, then the next generation of biologists must be prepared to consistently integrate quantitative reasoning into subject matter that has traditionally been considered through a qualitative lens. We introduce a quantitative reasoning framework and discuss th... Show More
  • Bifurcations and Dynamical Behavior of 2D Coupled Chaotic Sine Maps

    Yamina Soula, Abdel Kaddous Taha, Daniele Fournier-Prunaret, Nasr-Eddine Hamri

    Issue: Volume 11, Issue 1, February 2022
    Pages: 18-30
    Received: Jan. 14, 2022
    Accepted: Feb. 04, 2022
    Published: Feb. 18, 2022
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    Abstract: The main characteristics of a dynamical system are determined by the bifurcation theory. In particular, in this paper we examined the properties of the discrete dynamical system of a two coupled maps, i.e. the maps with an invariant unidimensional submanifold. The study of coupled chaotic systems shows rich and complex dynamic behaviors, particular... Show More
  • Discrete Probability of Random Möbius Groups: Random Subgroups by Two Generators

    Binlin Dai, Zekun Li

    Issue: Volume 11, Issue 1, February 2022
    Pages: 31-37
    Received: Jan. 18, 2022
    Accepted: Feb. 07, 2022
    Published: Feb. 19, 2022
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    Abstract: Let be real Möbius groups. For any 2×2 matrix A in induces real Möbius transformations g by the formula where . The collection of all real Möbius transformations for which takes the values 1 forms a group which can be identified with . We write to mean that f is a random variable in. In this paper, we study the random Möbius subgroup. We can g... Show More