A remark on multivalued algebraic groups

Linear Models of Circuits Based on the Multivalued Components

Linearization and planarization of the circuit models is pivotal to the submicron technologies. On the other hand, the characteristics of the VLSI circuits can be sometimes improved by using the multivalued components. It was shown that any `-level circuit based on the multivalued components is representable as an algebraic model based on ` linear arithmetic polynomials mapped correspondingly i...

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

Generalized multivalued $F$-contractions on complete metric spaces

In the present paper‎, ‎we introduce the concept of generalized multivalued $F$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including Nadler's‎.

Generalized multivalued $F$-contractions on non-complete metric spaces

In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresp...

From Time Series to Symbolic Dynamics: An Algebraic Topological Approach

A new approach to constructing a dynamical systems model from experimental time series data is presented. Using the the ideas of delay reconstruction a multivalued dynamical system is constructed. The multivalued approach is taken to allow for bounded experimental error. This system is then analyzed and algebraic invariants based on the Conley index are computed. These invariants have implicati...