Let (X,L) be a polarised manifold. We show that K-stability and asymptotic Chow stability of the blowup of X along a 0-dimensional cycle are closely related to Chow stability of the cycle itself, for polarizations making the exceptional divisors small. This can be used to give (almost) a converse to the results of Arezzo and Pacard in [1], [2], and to give new examples of Kähler classes with no...

stability studies play a critical role in assuring product quality at all points in the vaccine life cycle and havea major impact on the success of immunization programs worldwide. the purpose of stability study isdetermination of the vaccine quality under the variety of environmental factors and to establish a re-testperiod or a shelf life and recommended storage conditions. in this study thre...

We study the evolution of a conservative dynamical system with three degrees of freedom, where small non conservative terms are added. The conservative part is a Hamiltonian system, describing the motion of a planetary system consisting of a star, with a large mass, and of two planets, with small but not negligible masses, that interact gravitationally. This is a special case of the three body ...

Oscillatory chemical reactions are of significant importance in chemical and biological sciences. In the present paper we have studied the oscillatory behaviours of two chemical reactions (or oscillators). The first is the classical Lotka model of auto-catalytic chemical reaction and the second is the limit cycle chemical reaction (Tri-molecular reaction) due to Schnakenberg. Beside the determi...

We propose a hysteresis neural network system solving NPHard optimization problems, the N-Queens Problem. The continuous system with binary outputs searches a solution of the problem without energy function. The output vector corresponds to a complete solution when the output vector becomes stable. That is, this system does never become stable without satisfying the constrains of the problem. T...