in this paper we formulate and prove some xed and common xed pointtheorems for self-mappings de ned on complete lower transversal functionalprobabilistic spaces.

This paper deals with the problem of the instability regions of a free-free uniform Bernoulli beam consisting of two concentrated masses at the two free ends under the follower and transversal forces as a model for a space structure. The follower force is the model for the propulsion force and the transversal force is the controller force. The main aim of this study is to analyze the effects of...

We show that the space of chains of smooth maps from spheres into a fixed compact oriented manifold has a natural structure of a transversal d-algebra. We construct a structure of transversal 1-category on the space of chains of maps from a suspension space S(Y ), with certain boundary restrictions, into a fixed compact oriented manifold. We define homological quantum field theories HLQFT and c...

We propose the construction of electromagnetic (or electronic) switches and beam splitters by use of chaotic two-dimensional multiport waveguides. A prototype two-port waveguide is locally deformed to produce a ternary incomplete horseshoe characteristic of mixed phase space (chaotic regions surrounding islands of stability where motion is regular). Owing to tunneling to the phase-space stabili...

Abstract: We investigate the noise power gain (NPG) as a measure of error for transversal estimators. The error upper bound (EUB) and lower one (ELB) are specified via NPG for the most general p-shift linear time-variant transversal estimator intended for filtering (p = 0), prediction (p > 0), and smoothing (p < 0) of discrete-time K-state space signal models with M states measured. A fast iter...

We use the Fredholm alternative to derive a Mel’nikov vector for perturbations of N-dimensional maps with homoclinic connections. If the unperturbed mapping is integrable, this vector assumes a simple form, which we use to determine conditions for transversal and tangential intersection between the invariant manifolds in a four-dimensional map of the McMillan type. We also discuss conditions fo...

Article history: Received 20 May 2010 Available online xxxx

We propose the construction of electromagnetic (or electronic) switches and beam splitters using chaotic two-dimensional multi-port waveguides. A prototype two-port waveguide is locally deformed in order to produce a ternary incomplete horseshoe proper of mixed phase space (chaotic regions surrounding islands of stability where motion is regular). Due to tunneling to the phase space stability i...