It has been shown that there is a universal scaling function describing the cross-over of the effective Feigenbaum convergence rate 8 from its conservative value (8 = 8.721097 . . . . ) to its dissipative value (8 = 4.669201 . . . . ), as a function of the "effective dissipation". Using renormalization theory I obtain an explicit analytical expression for this cross-over function and show that ...

This a first step to develop a theory of smooth, étale and unramified morphisms between noetherian formal schemes. Our main tool is the complete module of differentials, that is a coherent sheaf whenever the map of formal schemes is of pseudo finite type. Among our results we show that these infinitesimal properties of a map of usual schemes carry over into the completion with respect to suitab...

Observability of state variables and parameters of a dynamical system from an observed time series is analyzed and quantified by means of the Jacobian matrix of the delay coordinates map. For each state variable and each parameter to be estimated, a measure of uncertainty is introduced depending on the current state and parameter values, which allows us to identify regions in state and paramete...

We prove that, for a tropical rational map if any point the convex hull of Jacobian matrices at smooth points in neighborhood does not contain singular then is an isomorphism. also show that polynomial on plane isomorphism all Jacobians have same sign (positive or negative). In addition, we and its preimage singleton least one regular

Let F=(f,g):R2?R2 be a polynomial map such that det?(DF(x,y)) is nowhere zero and F(0,0)=(0,0). In this work we give new sufficient condition for the injectivity of F. We also state conjecture when det?(DF(x,y))= constant ?0 F(0,0)=(0,0) equivalent to Jacobian conjecture.

a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...

This paper addresses the problem of articulated motion tracking from image sequences. We describe a method that relies on an explicit parameterization of the extremal contours in terms of the joint parameters of an associated kinematic model. The latter allows us to predict the extremal contours from the body-part primitives of an articulated model and to compare them with observed image contou...

Introduction Non-rigid image registration is typically utilized in brain mapping for spatial normalization of imaging data. This step reduces subject-specific anatomic differences by deforming individual images onto a population average brain template or a neuroanatomic atlas. With the same procedure, maps visualizing structural brain change over time can be generated by comparing baseline scan...

Thyristor controlled reactors are high power switching circuits used for static VAR control and the emerging technology of flexible ac transmission. The static VAR control circuit considered in the paper is a nonlinear periodically operated RLC circuit with a sinusoidal source and ideal thyristors with equidistant firing pulses. This paper describes new instabilities in the circuit in which thy...