Sökning: "Denis Gaidashev"

Hittade 3 avhandlingar innehållade orden Denis Gaidashev.

  1. 1. Properties of invariant sets in certain two-dimensional dynamical systems : Renormalization and beyond

    Författare :Dan Lilja; Denis Gaidashev; Konstantin Khanin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Dynamical systems; renormalization; area-preserving maps; unbounded geometry; almost commuting pairs; universality; non-rigidity;

    Sammanfattning : This thesis consists of an introduction and four research papers concerning dynamical systems, focusing on renormalization in two dimensions.Paper I (joint with Jordi-Lluís Figueras) studies a generalization of the anti-integrable limit of skew-product systems based on a Frenkel-Kontorova model. LÄS MER

  3. 2. Computational dynamics – real and complex

    Författare :Anna Belova; Warwick Tucker; Denis Gaidashev; Àlex Haro Provinciale; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Continued fractions; Generating functions; Rotation numbers; Rigorous computations; Interval analysis; Interval arithmetic; Multipliers; Quadratic map; Kuramoto-Sivashinsky equation; Mathematics; Matematik;

    Sammanfattning : The PhD thesis considers four topics in dynamical systems and is based on one paper and three manuscripts.In Paper I we apply methods of interval analysis in order to compute the rigorous enclosure of rotation number. LÄS MER

  4. 3. Mathematical modelling approach to collective decision-making

    Författare :Natalia Zabzina; Denis Gaidashev; Torbjörn Lundh; Uppsala universitet; []
    Nyckelord :collective behaviour; collective decision-making; communication mechanisms; positive feedback; mathematical modelling; bifurcation phenomena; steady state solutions; symmetry breaking; symmetry restoring; diffusion-limited aggregation; fractal dimension;

    Sammanfattning : In everyday situations individuals make decisions. For example, a tourist usually chooses a crowded or recommended restaurant to have dinner. Perhaps it is an individual decision, but the observed pattern of decision-making is a collective phenomenon. LÄS MER