A symbolic approach to nonlinearly perturbed heat equation

We consider a system described by the linear heat equation with adiabatic boundary conditions which is perturbed periodicaly. This perturbation is nonlinear and is characterized by a one-parameter family of quadratic maps. The system, depending on the parameters, presents very complex behaviour. We...

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Bibliographic Details
Main Author: Ramos, Carlos (author)
Other Authors: Santos, Ana Isabel (author), Vinagre, Sandra (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10174/19624
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/19624
Description
Summary:We consider a system described by the linear heat equation with adiabatic boundary conditions which is perturbed periodicaly. This perturbation is nonlinear and is characterized by a one-parameter family of quadratic maps. The system, depending on the parameters, presents very complex behaviour. We introduce a symbolic framework to analyze the system and resume its most important features.