Symmetries of systems with spatially bounded domains

Journal article

Cerqueti, R and Sarnari, F (2014). Symmetries of systems with spatially bounded domains. Journal of Advanced Research in Dynamical and Control Systems. 6 (1), pp. 11-25.

Publication dates
Authors	Cerqueti, R and Sarnari, F
Abstract	This paper deals with the investigation of the dynamics occurring in a 1-dimensional linear second-order partial differential equation. Our main focus is the investigation of the effects produced on these dynamics by both reflection and translation symmetry-breakings in bounded domains. This is performed by considering two different sets of boundary conditions, first Robin, and then periodic, along with the presence of an advection term. Dynamical systems like this are widely encountered in several fields of applied science. In particular, in Theoretical Physics, they describe a diffusive problem in the presence of throughflow, driven by a forcing. Often this kind of system constitutes the grounds for nonlinear problems where persistent travelling waves are observed. In the present work major focus is given to the investigation of the eventual occurrence of time-dependent solutions via Hopf bifurcation.
Year	2014
Journal	Journal of Advanced Research in Dynamical and Control Systems
Journal citation	6 (1), pp. 11-25
Publisher	Institute of Advanced Scientific Research
ISSN	1943-023X
Web address (URL)	https://www.jardcs.org/backissues/abstract.php?archiveid=231
Print	2014
Publication process dates
Accepted	01 Aug 2014
Deposited	19 Jun 2020
Accepted author manuscript	License CC BY 4.0 File Access Level Open
Additional information	Due to copyright restrictions we cannot openly share this article.

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