This article investigates quantum gravity through a new approach based on quantization of spacetime and Lyra geometry. Singularity functions are applied to the study, whose main focus is to investigate the physics in ...This article investigates quantum gravity through a new approach based on quantization of spacetime and Lyra geometry. Singularity functions are applied to the study, whose main focus is to investigate the physics in the surroundings of supermassive bodies. Present work is a continuation of the research program on quantum gravity and time machines established by the author in a previous publication. The physical and geometrical features of the model are discussed.展开更多
In this paper, we study the existence, uniqueness and stability of memristor-based syn- chronous switching neural networks with time delays. Several criteria of exponential stability are given by introducing multiple ...In this paper, we study the existence, uniqueness and stability of memristor-based syn- chronous switching neural networks with time delays. Several criteria of exponential stability are given by introducing multiple Lyapunov functions. In comparison with the existing publications on simplice memristive neural networks or switching neural net- works, we consider a system with a series of switchings, these switchings are assumed to be synchronous with memristive switching mechanism. Moreover, the proposed stability conditions are straightforward and convenient and can reflect the impact of time delay on the stability. Two examples are also presented to illustrate the effectiveness of the theoretical results.展开更多
文摘This article investigates quantum gravity through a new approach based on quantization of spacetime and Lyra geometry. Singularity functions are applied to the study, whose main focus is to investigate the physics in the surroundings of supermassive bodies. Present work is a continuation of the research program on quantum gravity and time machines established by the author in a previous publication. The physical and geometrical features of the model are discussed.
文摘In this paper, we study the existence, uniqueness and stability of memristor-based syn- chronous switching neural networks with time delays. Several criteria of exponential stability are given by introducing multiple Lyapunov functions. In comparison with the existing publications on simplice memristive neural networks or switching neural net- works, we consider a system with a series of switchings, these switchings are assumed to be synchronous with memristive switching mechanism. Moreover, the proposed stability conditions are straightforward and convenient and can reflect the impact of time delay on the stability. Two examples are also presented to illustrate the effectiveness of the theoretical results.
