Given a heuristic estimate of the relative safety of a hybrid dynamical system trajectory, we transform the initial safety problem for dynamical systems into a global optimization problem. We compare untuned performance of several Simulated Annealing and Multi Level Single Linkage method variants, and discuss the dynamic use of knowledge gained during optimization.

A simple recurrent neural network was constructed to simulate a novel action selection dynamics. The selection process becomes complex when more than two action repertoires are possible. Even with a simple task, one often experiences making an unintentional form of movement or slip of action. One example is called a microslip, named and reported by Reed and Schoenherr. We propose a model of suc...

Despite considerable diversity among theories about how humans process language, there are a number of fundamental assumptions which are shared by most such theories. This consensus extends to the very basic question about what counts as a cognitive process. So although many cognitive scientists are fond of referring to the brain as a ‘mental organ’ (e.g., Chomsky, 1975)—implying a similarity t...

Since Li and Yorke first gave the definition of chaos by using strict mathematical language in 1975 [1], the research on chaos has greatly influenced modern science, not just natural sciences but also several social sciences, such as economics, sociology, and philosophy. The theory of chaos convinced scientists that a simple definite system can produce complicated features and a complex system ...

this paper investigates on control and stabilization of a new hyperchaotic system. the hyperchaotic system is stabilized using a new technique which called generalized backstepping method (gbm). because of its similarity to backstepping approach, this method is called gbm. but, this method is more applicable in comparison with conventional backstepping.  backstepping method is used only for sys...

We consider the problem of spatiotemporal sampling in an evolutionary process x = Ax where an unknown linear operator A driving an unknown initial state x is to be recovered from a combined set of coarse spatial samples {x|Ω0 , x |Ω1 , · · ·, x |ΩN }. In this paper, we will study the case of infinite dimensional spatially invariant evolutionary process, where the unknown initial signals x are m...

This paper presents a bifurcation study of a model widely used to discuss phyllotactic patterns, i.e., leaf arrangements. Although stable patterns can be easily obtained by numerical simulations, a stability or bifurcation analysis is hindered by the fact that the model is defined by an algorithm and not a dynamical system, mainly because new active elements are added at each step, and thus the...

We shall start by giving the definition of the entropy of dynamical system. Consider dynamical systems with discrete time. The phase space of dynamical system is denoted by M . It is equipped with σ-algebra M and a probability measure μ defined on M. In the general ergodic theory dynamics is given by a measurable transformation T of M onto itself preserving the measure μ. It is enough for many ...

This paper deals with a ratio-dependent functional response predator-prey model with a fractional order derivative. The ratio-dependent models are very interesting, since they expose neither the paradox of enrichment nor the biological control paradox. We study the local stability of equilibria of the original system and its discretized counterpart. We show that the discretized system, which is...

An adaptive neuro fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part is presented in this paper. The capability of the proposed method (we named ANFIS2) for function approximation and dynamical system identification is remarkable. The structure o...