In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes f...

This paper describes some recent results in HamiltonJacobi theory that hold under strong convexity assumptions on the data. Generalizations of linearquadratic control models satisfy such assumptions, for example. The results include a global method of characteristics and a strong duality theory.

We prove several formulas related to Hodge theory and the Kodaira-SpencerKuranishi deformation theory of Kähler manifolds. As applications, we present a construction of globally convergent power series of integrable Beltrami differentials on Calabi-Yau manifolds, and use an iteration method to construct global canonical families of holomorphic (n, 0)-forms on the deformation spaces of Kähler ma...

In this paper we shall present a simple hybrid model of impact dynamics in heat exchangers. The method, based on graph theory and probability theory, enables us to model the variation in global dynamics as measurable local parameters are changed. We find a sudden jump from no to many repeated impacts, in agreement with numerical and experimental evidence.

This paper shows how to construct anomaly free world sheet actions in string theory with D-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to D-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

This paper shows how to construct anomaly free world sheet actions in string theory with D-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to D-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

This paper shows how to construct anomaly free world sheet actions in string theory with D-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to D-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

A method is described for finding the global minimum or infimum of a polynomial in several variables. Both the value of the minimum or infimum is obtained as well as at least one point where the minimum is attained if it is attained. If the minimum is attained in finitely many points, the method finds them all. The method is based on the Stetter–Möller matrix method from the theory of construct...

Background & Objective: To recognize the challenges and obstacles of academic culture in institutionalizing the quality culture in higher education, the Grounded Theory research method helped us to provide a conceptual model in higher education. This model would provide a correct understanding of the challenges and obstacles of academic culture for the beneficiaries. Materials & Methods: The p...