Mathematical modeling and applicatio...
Luo, Albert C.J.

 

  • Mathematical modeling and applications in nonlinear dynamics[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 531.01515
    書名/作者: Mathematical modeling and applications in nonlinear dynamics/ edited by Albert C.J. Luo, Huseyin Merdan.
    其他作者: Luo, Albert C.J.
    出版者: Cham : : Springer International Publishing :, 2016.
    面頁冊數: vii, 205 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Nonlinear mechanics - Mathematical models.
    標題: Engineering.
    標題: Complexity.
    標題: Mathematical Models of Cognitive Processes and Neural Networks.
    標題: Nonlinear Dynamics.
    標題: Systems Biology.
    標題: Complex Networks.
    ISBN: 9783319266305
    ISBN: 9783319266282
    內容註: From the Contents: Introduction -- Mathematical Neuroscience: from neurons to networks -- Jupiters belts, our Ozone holes, and Degenerate tori -- Analytical solutions of periodic motions in time-delay systems -- DNA elasticity and its biological implications -- Epidemiology, dynamics, control and multi-patch mobility.
    摘要、提要註: The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems. Provides methods for mathematical models with switching, thresholds, and impulses, each of particular importance for discontinuous processes Includes qualitative analysis of behaviors on Tumor-Immune Systems and methods of analysis for DNA, neural networks and epidemiology Introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modeling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in mechanics, astronomy, and physics Demonstrates mathematic modeling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in mechanics, astronomy, and physics.
    電子資源: http://dx.doi.org/10.1007/978-3-319-26630-5
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