Essays about: "Dynamical systems"

Showing result 36 - 40 of 123 essays containing the words Dynamical systems.

  1. 36. 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. 37. Chaos in Stellar Dynamics - Outcomes of Binary-Single interactions in Globular Clusters

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

    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. 38. Universality and Individuality in Recurrent Networks extended to Biologically inspired networks

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Nishant Joshi; [2020]
    Keywords : Recurrent Neural Networks; rate Networks; Fixed Points; Dynamical Systems; Leaky Integrate and Fire; Computational Neuroscience;

    Abstract : Activities in the motor cortex are found to be dynamical in nature. Modeling these activities and comparing them with neural recordings helps in understanding the underlying mechanism for the generation of these activities. For this purpose, Recurrent Neural networks or RNNs, have emerged as an appropriate tool. READ MORE

  4. 39. Neural Network Approaches for Model Predictive Control

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Rebecka Winqvist; [2020]
    Keywords : ;

    Abstract : Model Predictive Control (MPC) is an optimization-based paradigm forfeedback control. The MPC relies on a dynamical model to make predictionsfor the future values of the controlled variables of the system. READ MORE

  5. 40. Stars Eating Planets

    University essay from Lunds universitet/Astronomi - Genomgår omorganisation

    Author : John Wimarsson; [2020]
    Keywords : Earth and planetary astrophysics; planetary dynamics; planet-planet scattering; planet consumption; Physics and Astronomy;

    Abstract : In a phase of instability during the dynamical evolution of some multiple exoplanetary systems, exchange of angular momentum and/or energy through gravitational interactions between planets will lead to alterations of their orbital properties. In some cases, planetary orbits end up crossing, which leads to close encounters between two planets. READ MORE