This paper investigates the anti-synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) via sliding mode control. The stability results derived in this paper for the anti-synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control metho...

When elections are close in time, voters may stick to their preferred party or chose a different option for several reasons; reliable estimates of the amount of transitions across the available options can allow to answer a number of relevant questions about electoral behaviour. We describe a modified version of the model due to Brown and Payne (J Am Stat Assoc 81:453–460, 1986) and argue that ...

The cosmopolitan inversion In(3R)Payne in Drosophila melanogaster decreases in frequency with increasing distance from the equator on three continents, indicating it is subject to strong natural selection. We investigated patterns of genetic variation and linkage disequilibrium (LD) in 24 molecular markers located within and near In(3R)Payne to determine if different parts of the inversion resp...

There has been much interest over many years in studying charged systems after the artificial imposition of periodic boundary conditions, and correcting for resulting divergence electrostatic energy density. A correction cubic cells was derived by Makov Payne 1995, its leading error term is form ${L}^{\ensuremath{-}5}$ a cube side $L$. Most modern density functional theory codes use different t...

In this paper, we completely determine the point regular automorphism groups of Payne derived quadrangle symplectic W(q), q odd. As a corollary, show that finite act regularly on points generalized can have unbounded nilpotency class.

This paper investigates the global chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode co...

We study critical threshold phenomena in a dynamic continuum traffic flow model known as the Payne and Whitham (PW) model. This model is a quasi-linear hyperbolic relaxation system, and when equilibrium velocity is specifically associated with pressure, the equilibrium characteristic speed resonates with one characteristic speed of the full relaxation system. For a scenario of physical interest...

We address the question of the uniqueness of solution to the initial value problem associated to the equation ∂tu+ iα∂ 2 xu+ β∂ 3 xu+ iγ|u| 2 u+ δ|u|∂xu+ ǫu 2 ∂xu = 0, x, t ∈ R, and prove that a certain decay property of the difference u1 − u2 of two solutions u1 and u2 at two different instants of times t = 0 and t = 1, is sufficient to ensure that u1 = u2 for all the time.

It is argued that the dominant subleading shape-function contributions to the endpoint region of the charged-lepton energy spectrum in B → Xu l ν decays can be related in a model-independent way to an integral over the B → Xsγ photon spectrum. The square root of the fraction of B → Xu l ν events with chargedlepton energy above E0 = 2.2GeV can be calculated with a residual theoretical uncertaint...