Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction-Diffusion Systems in R2

David Iron; Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada, John Rumsey; Faculty of Management, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada, Michael Ward; Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z2, Canada, Juncheng Wei, Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z2, Canada and Department of Mathematics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong.