Severino Horacio da Silva
In this work we study the global dynamics of an evolution equation for neural fields, where the flow generated by this equation in the phase space , is . Furthermore we exhibit a continuous Lyapunov functional and use it for proving that this flow has the gradient property.
Submitted March 28, 2011. Published March 16, 2012.
Math Subject Classifications: 45J05, 45M05, 37B25.
Key Words: Well-posedness; smooth orbit; gradient flow.
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| Severino Horácio da Silva |
Unidade Acad&ecric;mica de Matemática e Estatíistica UAME/CCT/UFCG
Rua Apríigio Veloso, 882, Bairro Universitário CEP 58429-900
Campina Grande - PB, Brasil
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