This contribution presents a generalized approach to friction induced vibrations in systems of moving continua. To this end, Hamilton’s Principle is used to state a weak formulation of the system dynamics without using specific structural models, like beams or plates for instance. The normal contact is enforced by a penalty formulation, which motivates the use of a constitutive contact model ba...

The results of this paper relate the dynamics of a continuous map/of the interval and the topology of the inverse limit space with bonding map /. These inverse limit spaces have been studied by many authors, and are examples of what Bing has called "snakelike continua". Roughly speaking, we show that when the dynamics of / are complicated, the inverse limit space contains indecomposable subcont...

We show how to associate an R-tree to the set of cut points of a continuum. If X is a continuum without cut points we show how to associate an R-tree to the set of cut pairs of X . AMS Classification 54F15,54F05,20F65,20E08

The main purpose of this paper is to study the property of Kelley in nonmetric continua using inverse systems and limits.

We study topological dynamics on unshielded planar continua with weak expanding properties at cycles for which we prove that the absence of wandering continua implies backward stability. Then we deduce from this that a polynomial f with a locally connected Julia set is backward stable outside any neighborhood of its attracting and neutral cycles. For a conformal measure μ this easily implies th...

Aim. We aim to describe a female patient with Menkes disease who presented with epilepsia partialis continua. Case Presentation. Seventeen-months-old Saudi infant was presented with repetitive seizures and was diagnosed to have epilepsia partialis continua. Discussion. Menkes disease (OMIM: 309400) is considered a rare, X-linked recessive neurodegenerative disorder resulting from a mutation in ...