Abstract: In this paper, chaotic dynamical networks with coupling delays are considered. These coupling delays are viewed as the unknown parameters, which need to be identified. To achieve this goal, some auxiliary systems (also called as network estimators) are designed. Linear feedback control and adaptive strategy are both applied in designing these network estimators. The sufficient conditi...

I examine the solution of the BFKL equation with NLO corrections relevant for deep inelastic scattering. Particular emphasis is placed on the part played by the running of the coupling. It is shown that the solution factorizes into a part describing the evolution in Q, and a constant part describing the input distribution. The latter is infrared dominated, being described by a coupling which gr...

We stress that in contradiction with what happens in space dimensions n ≥ 3, there is no strict bound on the number of bound states with the same structure as the semi-classical estimate for large coupling constant and give, in two dimensions, examples of weak potentials with one or infinitely many bound states. We derive bounds for one and two dimensions which have the “right” coupling constan...

We report experimental observation of cycle-cycle bursting near homoclinic bifurcation in a selfoscillating Chua oscillator when it is diffusively coupled to another excitable Chua oscillator. The excitable oscillator induces an asymmetry in the self-oscillating Chua oscillator via coupling. The coupling strength controls the strength of the asymmetry that plays a key role in transition to burs...

When the author left the sugar industry in 1986, he requested and wasgranted permission by Tongaat-Hulett Sugar to commercially exploit the design of the coupling. A milldrive coupling was designed along the same lines as the original Amatikulu couplings, but pricing the various components indicated that the coupling would be too expensive to sell. Thoughts about ways to reduce costs by elimina...

The phase diagram of the Z2 lattice Higgs model is studied without freezing out the radial excitations. Comparing the results of three meanfield models, effects of mode-mode correlations on the phase diagram are investigated. The second order end point of the first order transition line between the Higgs and the confinement phase, observed at the frozen limit of the radial mode, is shown to rea...

This paper explores the mixing time of the random transposition walk on the symmetric group Sn. While it has long been known that this walk mixes in O(n log n) time, this result has not previously been attained using coupling. A coupling argument showing the correct order mixing time is presented. This is accomplished by first projecting to conjugacy classes, and then using the Bubley-Dyer path...

We define a new variable flavour number scheme for use in deep inelastic scattering, motivated by the need to consistently implement high energy resummations alongside a fixed order QCD expansion. We define the DIS(χ) scheme at fixed order, and show how to obtain the small x coefficient functions and heavy flavour matrix elements to leading order in the high energy resummation. We then implemen...

Scale-invariant running couplings are constructed for several quarks being decoupled together, without reference to intermediate thresholds. Large-momentum scales can also be included. The result is a multi-scale generalization of the renormalization group applicable to any order. Inconsistencies in the usual decoupling procedure with a single running coupling can then be avoided, e.g. when can...

We study the synchronization of time-delayed nonidentical maps subject to unidirectional (master-slave) coupling. The individual dynamics of the maps have a delay n1, and the coupling acts with a delay n2. We show analytically that, suitably tuning the slave map parameters, two distinct synchronization regimes can occur. In one regime the lag time between the slave and the master maps is given ...