in this article, we demonstrate an analytic-numeric solution for some dynamical systems using the multistagehomotopy perturbation method. the method yields results that are in complete agreement with their numericalcounterparts.

this paper provides a review on major ergodic features of semi-independent hyper mv {algebra dynamical systems. theorems are presentedto make contribution to calculate the entropy. particularly, it is proved that thetotal entropy of those semi-independent hyper mv {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...

The Besicovitch and Weyl pseudometrics on the space AŸ of biinfinite sequences measure the density of differences in either the central or arbitrary segments of given sequences. The Besicovitch and Weyl spaces are obtained from A by factoring through the equivalence of zero distance. Cellular automata are considered as dynamical systems on the Besicovitch and Weyl spaces and their topological a...

We use deep Hubble Space Telescope imaging to derive a distance the Virgo Cluster ultradiffuse galaxy (UDG) VCC 615 using tip of red giant branch (TRGB) estimator. detect 5,023 stars within galaxy, down 50% completeness limit F814W = 28.0, counts in surrounding field correct for contamination due background sources and intracluster stars. an extinction-corrected magnitude $m_{\rm tip,0} 27.19^{...

In our result about dynamical thermalization, the proof of upper bound on time average distance between local evolved state

We present a technique for bounded invariant verification of nonlinear networked dynamical systems with delayed interconnections. The underlying problem in precise boundedtime verification lieswith computing bounds on the sensitivity of trajectories (or solutions) to changes in initial states and inputs of the system. For large networks, computing this sensitivity with precision guarantees is c...

Original antigenic sin is the phenomenon in which prior exposure to an antigen leads to a subsequent suboptimal immune response to a related antigen. Immune memory normally allows for an improved and rapid response to antigens previously seen and is the mechanism by which vaccination works. I here develop a dynamical system model of the mechanism of original antigenic sin in influenza, clarifyi...

We use the Genetic Algorithm (GA), a heuristic search and optimization technique inspired by biological evolution, to search for or \evolve" models of partially known nonlinear dynamical systems. We use certain assumptions about the class of \goal" systems (those being modeled), to build constraints into our \model" systems, which consist of functions represented by tables of numbers. Further k...