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|Title: ||Dynamics of a Certain Nonlinearly Perturbed Heat Equation|
|Authors: ||Ramos, Carlos|
Santos, Ana Isabel
|Editors: ||Pinelas, Sandra|
Graef, John R.
|Issue Date: ||2020|
|Citation: ||C.C. Ramos, A.I. Santos and S. Vinagre, (2020), Dynamics of a Certain Nonlinearly Perturbed Heat Equation, In: S.
Pinelas, J.R. Graef, S. Hilger, P. Kloeden and C. Schinas (eds), International
Conference on Differential and Difference Equations with Applications 2019,
Springer Proceedings in Mathematics & Statistics, vol. 333, Springer,
|Abstract: ||We consider a system described by the linear heat equation, with appropriate
boundary conditions in order to model the temperature on a wire with adiabatic
endpoints, which is perturbed nonlinearly by a family of quadratic maps. The time
instants of the perturbation are determined by an additional dynamical system, seen
here as part of the external interacting system. We study the complex behaviour of
the system, namely the dependence on initial conditions.|
|Appears in Collections:||MAT - Artigos em Livros de Actas/Proceedings|
CIMA - Artigos em Livros de Actas/Proceedings
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