Sökning: "algebraic dynamical systems"

Visar resultat 1 - 5 av 11 avhandlingar innehållade orden algebraic dynamical systems.

  1. 1. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations

    Författare :Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; discrete dynamical systems; p-adic numbers; finite fields; number of periodic points; Chebotarev s Density Theorem; computational number theory; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. LÄS MER

  3. 2. P-adic dynamical systems and van der Put basis technique

    Författare :Ekaterina Yurova Axelsson; Andrei Khrennikov; Franco Vivaldi; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; dynamical systems; p-adic; 1-Lipschitz; measure-preserving; ergodicity; spheres; uniformly differentiable; Tillämpad matematik; Applied Mathematics;

    Sammanfattning : Theory of dynamical systems in fields of p-adic numbers is  an important part of algebraic and arithmetic dynamics. The study of p-adic dynamical systems is motivated by their applications in various areas of mathematics, e.g., in physics, genetics, biology, cognitive science, neurophysiology, computer science, cryptology, etc. LÄS MER

  4. 3. Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation

    Författare :Hans Olsson; Institutionen för datavetenskap; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computer science; stiffness; software; computational process; differential algebraic equations; ordinary differential equations; Runge-Kutta; initial value problems; time-stepping; system; kontroll; numerisk analys; Datalogi; control; numerical analysis; systems;

    Sammanfattning : The last decades have seen a strongly increasing use of computers for modeling larger and more complex systems. This has been made possible by a combination of increasing computer power and easy-to-use graphical modeling environments and libraries of components. LÄS MER

  5. 4. Delocalization in nonperiodic systems

    Författare :Lars Kroon; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The localization properties of non-interacting linear excitations in one-dimensional aperiodically ordered structures are investigated from a theoretical point of view. The models used have various relevance for real systems, like quasicrystals, photonic crystals, and deterministic aperiodic superlattices. LÄS MER

  7. 5. Optimizing Networked Systems and Inverse Optimal Control

    Författare :Han Zhang; Xiaoming Hu; Elias Jarlebring; Yiguang Hong; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Networked systems; energy optimal consensus control; semi-definite programming; distributed optimization; inverse optimal control; Mathematics; Matematik;

    Sammanfattning : This thesis is concerned with the problems of optimizing networked systems, including designing a distributed energy optimal consensus controller for homogeneous networked linear systems, maximizing the algebraic connectivity of a network by projected saddle point dynamics. In addition, the inverse optimal control problems for discrete-time finite time-horizon Linear Quadratic Regulators (LQRs) are considered. LÄS MER