Essays about: "Dynamical systems"

Showing result 1 - 5 of 81 essays containing the words Dynamical systems.

  1. 1. Local Rigidity of Some Lie Group Actions

    University essay from KTH/Matematik (Avd.)

    Author : Sven Sandfeldt; [2020]
    Keywords : Mathematics; dynamical systems; smooth dynamical systems; local rigidity; cocycle rigidity; higher rank actions; Nash-Moser inverse function theorem; Matematik; dynamiska system; släta dynamiska system; lokal rigiditet; cocycel rigiditet; högre rank gruppverkan; Nash-Moser inversa funktionssats;

    Abstract : In this paper we study local rigidity of actions of simply connected Lie groups. In particular, we apply the Nash-Moser inverse function theorem to give sufficient conditions for the action of a simply connected Lie group to be locally rigid. Let $G$ be a Lie group, $H < G$ a simply connected subgroup and $\Gamma < G$ a cocompact lattice. READ MORE

  2. 2. Chaos in Stellar Dynamics - Outcomes of Binary-Single interactions in Globular Clusters

    University essay from Lunds universitet/Astronomi; Lunds universitet/Institutionen för astronomi och teoretisk fysik

    Author : Lucas Hellström; [2020]
    Keywords : Stellar Dynamics; Binary-Single interactions; Dynamical encounters; Additional processes; Physics and Astronomy;

    Abstract : Gravitational encounters between a single star and a binary system can frequently occur in the cores of dense stellar systems like globular clusters. These three-body scattering encounters can lead to a variety of outcomes since the energy of the binary components can be exchanged with the interacting single star. READ MORE

  3. 3. Dynamical Borel-Cantelli lemmas and applications

    University essay from Lunds universitet/Matematik LTH

    Author : Viktoria Xing; [2020]
    Keywords : Borel-Cantelli lemma; dynamical systems; Mathematics and Statistics;

    Abstract : The classical Borel–Cantelli lemma is a beautiful discovery with wide applications in the mathematical field. The Borel–Cantelli lemmas in dynamical systems are particularly fascinating. Here, D. Kleinbock and G. READ MORE

  4. 4. Diophantine Approximation and Dynamical Systems

    University essay from Lunds universitet/Matematik LTH

    Author : Antony Lee; [2020]
    Keywords : diophantine approximation; continued fractions; sturmian sequences; hyperbolic geometry; Mathematics and Statistics;

    Abstract : The subject of diophantine approximation is a classical mathematic problem, as old as it is well studied. There are many different texts describing its connection to more modern areas of study, but few which do so with the aim of exploring the connections themselves. READ MORE

  5. 5. A dynamical system with oscillating time average

    University essay from Lunds universitet/Matematik LTH

    Author : Joel Nilsson; [2020]
    Keywords : dynamical system; time average; ergodic theorem; ergodic measure; Mathematics and Statistics;

    Abstract : Given a discrete dynamical system T, one can ask what the time average of the system will be, that is, what is the average position of T^n(x) for large n? Birkhoff’s ergodic theorem, one of the most important results in ergodic theory, says that for an ergodic system on a finite measure space, the time average will in the limit as n -> infinity be equal to the space average for almost all initial values x. In this thesis we study time averages of a dynamical system T : [0, 1] -> [0, 1] that depends on a parameter alpha. READ MORE