Comptes rendus de l’Acade'mie bulgare des Sciences, Vol 71, No12, pp.1672-1678

Solving an Emotional Memory Equation

George Mengov, Trifon Trifonov, Kalin Georgiev


To understand how the brain gives rise to emotional human behaviour, modern neuroscience extensively uses computer modelling. The differential equation for long-term memory (LTM) is an important element of a variety of cognitive-emotional models, including the Grossberg–Schmajuk recurrent gated dipole. Usually, such models are composed of coupled ordinary nonlinear differential equations with no analytical solution in the general case. Here we solve analytically a special case of the LTM equation as used in the gated dipole. In this version, the equation contains three Boolean variables, accounting for internally generated and externally induced emotions. We develop a software application showing the solution’s usefulness.

Key words: Recurrent gated dipole, long-term memory differential equation, emotional memory

DOI: 10.7546/CRABS.2018.12.12