A symbolic approach to nonlinearly perturbed heat equation
International journal of pure and applied mathematics(2016)
Abstract
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.
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Key words
heat,symbolic approach
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