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Multiple periodic solutions in impulsive hybrid neural networks with delays |
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| Authors: | Eva Kaslik Seenith Sivasundaram |
| Institution: | a Institute eAustria Timisoara, Bd. V. Parvan nr. 4, Room 045B, 300223 Timisoara, Romania b Department of Mathematics and Computer Science, West University of Timisoara, Bd. V. Parvan nr. 4, 300223 Timisoara, Romania c Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USA |
| Abstract: | The existence of multiple periodic solutions and their exponential stability are investigated for impulsive hybrid Hopfield-type neural networks with both time-dependent and distributed delays, using the Leray-Schauder fixed point theorem and Lyapunov functionals. The criteria given are easily verifiable, possess many adjustable parameters, and depend on impulses, providing flexibility for the analysis and design of delayed neural networks with impulse effects. Examples are given. |
| Keywords: | Hopfield-type neural networks Periodic solutions Multiperiodicity Time-dependent delays Distributed delays Impulses |
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