Sökning: "discrete dynamical system"

Visar resultat 1 - 5 av 14 uppsatser innehållade orden discrete dynamical system.

1. 1. A Borel-Cantelli lemma for non-stationary dynamical systems

   Master-uppsats, Lunds universitet/Matematik LTH

   Författare :Teodor Åberg; [2023]
   Nyckelord :Borel-Cantelli lemmas; Dynamical systems; Mathematics and Statistics;

   Sammanfattning : In this thesis we present a Borel–Cantelli lemma for dynamical systems such that the dynamics driving the system varies with time. These results are largely based on a decomposition of transfer operators produced by Rychlik. Some limitations on the structure of sequences that is necessary for the results is given some discussion. LÄS MER

3. 2. Time-dependent light-matter coupling and quantum dynamics

   Kandidat-uppsats, Lunds universitet/Matematisk fysik; Lunds universitet/Fysiska institutionen

   Författare :Daniel Elgbro; [2023]
   Nyckelord :light-matter interaction; Rabi oscillations; quantum dynamics; optical cavity; qubit; coupled qubit; coupling strength; time-dependent coupling; dynamical qubits; entanglement; concurrence; qubit state manipulation; Jaynes-Cummings; Tavis-Cummings; Physics and Astronomy;

   Sammanfattning : In this thesis, two quantum dynamical system’s of one and two qubits coupled to a field mode confined in an optical cavity have been studied. Within the Jaynes- and Tavis- Cummings model, the dynamics of the corresponding light-matter interaction was defined in terms of the system’s coupling constants. LÄS MER

4. 3. A Continuous-time ODE Framework to Centrality in Dynamic Networks

   Kandidat-uppsats, Lunds universitet/Matematikcentrum; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Författare :Francisco Garcia Atienza; [2023]
   Nyckelord :networks; centrality; continuous-time; matrix logarithm; ode framework; katz; resolvent; Mathematics and Statistics;

   Sammanfattning : The present study discusses and evaluates a novel continuous-time approach to network centrality, a fundamental concept in network analysis. Static methods based on discrete snapshots or time slices for measuring node interaction in networks that change over time do not fully capture the dynamical nature of network evolution. LÄS MER

5. 4. Investigating Multi-Objective Reinforcement Learning for Combinatorial Optimization and Scheduling Problems : Feature Identification for multi-objective Reinforcement Learning models

   Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

   Författare :Rikard Fridsén Skogsberg; [2022]
   Nyckelord :Multi-Objective Reinforcement Learning; Radio Resource Scheduling; Deep Q-Networks; Single-policy; Multi-policy; Scalarization.; Flermåls förstärkningsinlärning; Radio resurs schemaläggning; Djupa Q-nätverk; Enskilt mål; Flermål;

   Sammanfattning : Reinforcement Learning (RL) has in recent years become a core method for sequential decision making in complex dynamical systems, being of great interest to support improvements in scheduling problems. This could prove important to areas in the newer generation of cellular networks. LÄS MER

7. 5. Tribonacci Cat Map : A discrete chaotic mapping with Tribonacci matrix

   Master-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

   Författare :Linnea Fransson; [2021]
   Nyckelord :Arnold s cat map; Tribonacci matrix; chaotic map; discrete dynamical system; linear recurrence sequence; Trisano period; 3D image encryption; colour encryption;

   Sammanfattning : Based on the generating matrix to the Tribonacci sequence, the Tribonacci cat map is a discrete chaotic dynamical system, similar to Arnold's discrete cat map, but on three dimensional space. In this thesis, this new mapping is introduced and the properties of its matrix are presented. LÄS MER