Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  have three goals: the first is to delineate the advantages of a variably delayed system, the second is to find a more intuitive Lyapunov function for a delayed neural network, and the third is to design a delayed neural network for a quadratic cost function. For delayed neural networks, most researchers construct a Lyapunov function based on the linear matrix inequality (LMI) approach. Hover, that approach is not intuitive.  provide a alternative candidate Lyapunov function for a delayed neural network. On the other hand, if  are first given a quadratic cost function,  can construct a delayed neural network by suitably dividing the second-order term into two parts: a self-feedback connection ight and a delayed connection ight. To demonstrate the advantage of a variably delayed neural network,  propose a transiently chaotic neural network with variable delay and show numerically that the model should possess a better searching ability than Chen-Aihara's model, Wang's model, and Zhao's model.  discuss both the chaotic and the convergent phases. During the chaotic phase,  simply present bifurcation diagrams for a single neuron with a constant delay and with a variable delay.  show that the variably delayed model possesses the stochastic property and chaotic wandering. During the convergent phase,  not only provide a novel Lyapunov function for neural networks with a delay (the Lyapunov function is independent of the LMI approach) but also establish a correlation beten the Lyapunov function for a delayed neural network and an objective function for the traveling salesman problem.
['Shyan Shiou Chen']
I am writing a research paper on a idea Chaotic Simulated Annealing by a Neural Network With a Variable Delay: Design and Application
[{"from": "human", "value": "I am writing a research paper on a idea Chaotic Simulated Annealing by a Neural Network With a Variable Delay: Design and Application"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  have three goals: the first is to delineate the advantages of a variably delayed system, the second is to find a more intuitive Lyapunov function for a delayed neural network, and the third is to design a delayed neural network for a quadratic cost function. For delayed neural networks, most researchers construct a Lyapunov function based on the linear matrix inequality (LMI) approach. Hover, that approach is not intuitive.  provide a alternative candidate Lyapunov function for a delayed neural network. On the other hand, if  are first given a quadratic cost function,  can construct a delayed neural network by suitably dividing the second-order term into two parts: a self-feedback connection ight and a delayed connection ight. To demonstrate the advantage of a variably delayed neural network,  propose a transiently chaotic neural network with variable delay and show numerically that the model should possess a better searching ability than Chen-Aihara's model, Wang's model, and Zhao's model.  discuss both the chaotic and the convergent phases. During the chaotic phase,  simply present bifurcation diagrams for a single neuron with a constant delay and with a variable delay.  show that the variably delayed model possesses the stochastic property and chaotic wandering. During the convergent phase,  not only provide a novel Lyapunov function for neural networks with a delay (the Lyapunov function is independent of the LMI approach) but also establish a correlation beten the Lyapunov function for a delayed neural network and an objective function for the traveling salesman problem."}]