Stability switches, Hopf bifurcation and chaos of a neuron model with delay-dependent parameters

Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters

Edoardo Beretta, Yang Kuang · SIAM Journal on Mathematical Analysis · 2002 · 639 citations

Engineering, Mathematics, Systems Engineering +17

LMI-based approach for asymptotically stability analysis of delayed neural networks

Xiaofeng Liao, Guanrong Chen, Edgar N. Sánchez · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2002 · 346 citations

Natural Sciences, Mathematics, Differential Equations +16

Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation

N. D. Hayes · Journal of the London Mathematical Society · 1950 · 329 citations

Natural Sciences, Mathematics, Algebra +6

Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays

Leslie P. Shayer, Sue Ann Campbell · SIAM Journal on Applied Mathematics · 2000 · 239 citations

Natural Sciences, Mathematics, Neuroscience +17

Delay induced periodicity in a neural netlet of excitation and inhibition

K. Gopalsamy, Issic K. C. Leung · Physica D Nonlinear Phenomena · 1996 · 226 citations

Life Sciences, Neurobiology, Neuroscience +12