In this paper we consider the first order discrete Hamiltonian systems {x1(n+1)-x1(n)=Hx2(n,x(n)),x2(n)-x2(n-1)=Hx1(n,x(n)),where x(n) = (x2(n)x1(n))∑ R^2N, H(n,z) = 1/2S(n)z. z + R(n,z...In this paper we consider the first order discrete Hamiltonian systems {x1(n+1)-x1(n)=Hx2(n,x(n)),x2(n)-x2(n-1)=Hx1(n,x(n)),where x(n) = (x2(n)x1(n))∑ R^2N, H(n,z) = 1/2S(n)z. z + R(n,z) is periodic in n and superlinear as {z} →4 ∞. We prove the existence and infinitely many (geometrically distinct) homoclonic orbits of the system by critical point theorems for strongly indefinite functionals.展开更多
The paper reveals the relation between the linear AND-OR gate and the emitter function logic. With theoretic calculation and PSPICE simulation, the paper proves that the linear AND-OR gates can work at super-high-spee...The paper reveals the relation between the linear AND-OR gate and the emitter function logic. With theoretic calculation and PSPICE simulation, the paper proves that the linear AND-OR gates can work at super-high-speed and can be multi-cascaded. On the basis of analyzing the high-speed switch units which coordinate with linear AND-OR gates, two kinds of emitter coupled logic circuits are designed. The paper also discusses the design principles of super-high-speed digital circuits, and some examples of combinational and sequential circuits using linear AND-OR gate are given.展开更多
基金CHEN WenXiong supported by Science Foundation of Huaqiao UniversityYANG Minbo was supported by Natural Science Foundation of Zhejiang Province (Grant No. Y7080008)+1 种基金YANG Minbo was supported by National Natural Science Foundation of China (Grant No. 11101374, 10971194)DING Yanheng was supported partially by National Natural Science Foundation of China (Grant No. 10831005)
文摘In this paper we consider the first order discrete Hamiltonian systems {x1(n+1)-x1(n)=Hx2(n,x(n)),x2(n)-x2(n-1)=Hx1(n,x(n)),where x(n) = (x2(n)x1(n))∑ R^2N, H(n,z) = 1/2S(n)z. z + R(n,z) is periodic in n and superlinear as {z} →4 ∞. We prove the existence and infinitely many (geometrically distinct) homoclonic orbits of the system by critical point theorems for strongly indefinite functionals.
基金Supported by the National Natural Science Foundation of China
文摘The paper reveals the relation between the linear AND-OR gate and the emitter function logic. With theoretic calculation and PSPICE simulation, the paper proves that the linear AND-OR gates can work at super-high-speed and can be multi-cascaded. On the basis of analyzing the high-speed switch units which coordinate with linear AND-OR gates, two kinds of emitter coupled logic circuits are designed. The paper also discusses the design principles of super-high-speed digital circuits, and some examples of combinational and sequential circuits using linear AND-OR gate are given.
基金supported by China Postdoctoral Science Foundation(2015M582355)the Doctor Scientific Research Start Project from Hubei University of Science and Technology(BK1418)National Natural Science Foundation of China(61271256)