Periodic orbits in non-smooth systems with impact

In this project we will study time-dependent non smooth systems with impatcs. We will focus in two models: the rocking block model and an oscillator with impacts. We will show how to compute, analitycally and numerically, periodic orbits in these systems, where the solutions are only continuous func...

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Detalles Bibliográficos
Autor: Hashemi, Seyedpedram
Tipo de recurso: tesis de maestría
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099.1/23914
Acceso en línea:https://hdl.handle.net/2099.1/23914
Access Level:acceso abierto
Palabra clave:Differentiable dynamical systems
Periodic orbits in non-smooth systems with impact
Dynamical System
Application
Rocking Block
Inverted Pendulum
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
Descripción
Sumario:In this project we will study time-dependent non smooth systems with impatcs. We will focus in two models: the rocking block model and an oscillator with impacts. We will show how to compute, analitycally and numerically, periodic orbits in these systems, where the solutions are only continuous functions of time.