Measures derived from the thermodynamic formalism for dynamical systems are applied to human behavior to determine the degree of interaction within sequences of choices. Sequences of 500 binary choices generated by 22 human subjects are analyzed using autocorrelation and mutual information functions, as well as the fluctuation spectrum of local dynamical entropies or local spatial scaling expon...

In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify such a behavior, a computation of Lyapunov exponents for chaotic orbits of a given nonsmooth dynamical system is focused. The Lyapunov exponent is a very important concept in chaotic theory, because this quantity measures the sensitive dependence on initial conditions in dynamical systems. Therefo...

Assessing locomotor behavior is a standard methodology to characterize the behavioral phenotype of a genetic manipulation. Typically, levels of locomotor activity are measured using various methods that are based on the frequency of photobeam breaks or distance traveled as assessed by video-tracking systems. Locomotor behavior, however, is multi-dimensional and reflects the combined influences ...

here, the concept of quantum potential that has been illustrated in extended phase space (eps) in previous works is explored for its marginal behavior. unlike in configuration space, different representations of the quantum mechanics can be found in eps when exploiting appropriate canonical transformations. these canonical transformations revealed that there exist several representations in whi...

Informally speaking, the Furstenberg Correspondence [5, 6] shows that the “local behavior” of a dynamical system is controlled by the behavior of sufficiently large finite systems. By the local behavior of a dynamical system (X,B, μ,G), we mean the properties which can be stated using finitely many actions of G and the integral given by μ1. By a finite system, we just mean (S,P(S), c, G) where ...

Catenoid is the equilibrium shape formed between two coaxial circular rings. Mathematically the catenoid is a kind of the minimal surfaces. The catenoid is made by using soap film and we performed in-situ observation of catenoid by varying distance between two rings. It is shown that the shape of soap film does interesting behavior. The behavior can be explained from the point of view of the dy...

A mobile agent system network is, in our definition, a dynamical system where so called agent servers are loosely coupled. In such an environment (mobile) agents may offer and consume services and act on behalf of a (human) user. This paper characterizes the dynamical behavior of such a network. Aspects of dynamical behavior are discussed, dynamical components are characterized, and a ”cartogra...

A genetic algorithm GA is a general iterative search technique based on the concepts and mechanisms of nat ural evolution GAs are especially well known for their ability to search a large problem domain in a relatively short period of time and nd fairly good solutions Dy namical systems are processes in motion or processes which change over time Examples of dynamical sys tems can be found every...

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...