Concepedia

Existence and Global Convergence of Periodic Solutions in Recurrent Neural Network Models with a General Piecewise Alternately Advanced and Retarded Argument

Kuo‐Shou Chiu, Manuel Pinto, Jyh‐Cheng Jeng

Acta Applicandae Mathematicae · 2013 · 53 citations · 43 references

Open access

Concepts

Natural SciencesMathematicsDynamical SystemsChaos TheoryContinuous Dynamical SystemsFixed PointsNeural ModelingNeural NetworksStability TheoryConvergenceGlobal Convergence AnalysisNeural Dynamical SystemsOscillatory DynamicsPeriodic Solutions Of Differential EquationsPiecewise FunctionsRecurrent Neural Networks

References

43

Neural networks and physical systems with emergent collective computational abilities.

J. J. Hopfield · Proceedings of the National Academy of Sciences · 1982 · 19.3K citations

Medicine, Computer Systems, Neurobiology +17

Cellular neural networks: theory

Leon O. Chua, L. Yang · IEEE Transactions on Circuits and Systems · 1988 · 4.8K citations

Engineering, Electrical Engineering, Analog Electronics +14

Cellular neural networks: applications

Leon O. Chua, L. Yang · IEEE Transactions on Circuits and Systems · 1988 · 2.4K citations

Computing, Computer Science, Computer Vision +16

Global Attractivity in Delayed Hopfield Neural Network Models

P. van den Driessche, Xingfu Zou · SIAM Journal on Applied Mathematics · 1998 · 427 citations

Natural Sciences, Mathematics, Complex Systems +16

Boundedness and stability for Cohen–Grossberg neural network with time-varying delays

Jinde Cao, Jinling Liang · Journal of Mathematical Analysis and Applications · 2004 · 340 citations

Natural Sciences, Electrical Engineering, Mathematics +13