A symbolic approach to nonlinearly perturbed heat equation


Autoria(s): Ramos, Carlos; Santos, Ana Isabel; Vinagre, Sandra
Data(s)

09/01/2017

09/01/2017

2016

Resumo

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.

Identificador

C. C. Ramos, A. I. Santos and S. Vinagre, A symbolic approach to nonlinearly perturbed heat equation, Int. J. of Pure and Applied Math., 107, (2016), n.º 4, 821-843.

821-843

1311-8080

http://hdl.handle.net/10174/19624

107

International Journal of Pure and Applied Mathematics

4

MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

ccr@uevora.pt

aims@uevora.pt

smv@uevora.pt

A symbolic approach to nonlinearly perturbed heat equation

721

10.12732/ijpam.v107i4.3

Idioma(s)

eng

Publicador

International Journal of Pure and Applied Mathematics

Direitos

openAccess

Palavras-Chave #heat equation #chaotic dynamics #symbolic dynamics #iteration theory #topological entropy #complex systems
Tipo

article