The 1:1:2 resonant elastic pendulum is a simple classical system that displays the phenomenon known as Hamiltonian monodromy. With suitable initial conditions, the system oscillates between nearly pure springing and nearly pure elliptical-swinging motions, with sequential major axes displaying a stepwise precession. The physical consequence of monodromy is that this stepwise precession is given...

Motivated by the distributed binary consensus algorithm in Perron et al. [(2009) UsingThree States for Binary Consensus on Complete Graphs. INFOCOM 2009, IEEE, April, pp. 2527–2535], we propose a distributed algorithm for the multivalued consensus problem. In the multivalued consensus problem, each node initially chooses from one of k available choices and the objective of all nodes is to find ...

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...

An extension of the celebrated Sharkovskĭı cycle coexisting theorem (see [14]) is given for (strongly) admissible multivalued self-maps in the sense of [8], on a Cartesian product of linear continua. Vectors of admissible self-maps have a triangular structure as in [10]. Thus, we make a joint generalization of the results in [2], [5], [6] (a multivalued case), in [10] (a multidimensional case),...

In this paper we consider a second order evolution inclusion with a coercive viscosity operator and a multivalued term of subdifferential form. The study is motivated by the dynamic problem of frictional contact between a viscoelastic piezoelectric deformable body and a foundation. The interaction between the body and the foundation is described, due to the skin effects, by a nonmonotone possib...

In this paper we prove some existence theorems concerning the solutions and integral solution for functional (delay) evolution equations with nonconvex lower semicontinuous multivalued perturbations ,

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

We briefly review the origins and development of Borsuk's Theory Shapes Multivalued Shape Sanjurjo. use a construction over metric compacta using hyperspaces to define finite type version.

In this paper, we prove the existence of a common random fixed point of two random multivalued generalized contractions by using functional expressions.

n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results  as well as ´Ciri´c results. An example is given to support the usability of our results.