The Charged System Search (CSS) is combined to chaos to solve mathematical global optimization problems. The CSS is a recently developed meta-heuristic optimization technique inspired by the governing laws of physics and mechanics. The present study introduces chaos into the CSS in order to increase its global search mobility for a better global optimization. Nine chaos-based CSS (CCSS) methods...

Sciences exist to demonstrate the fundamental order underlying nature. Chaos/complexity theory is a novel and amazing field of scientific inquiry. Notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (Retrieved from http://www.inc...

In this article, we are interested in the strong well-posedness together with numerical approximation of some one-dimensional stochastic differential equations a non-linear drift, sense McKean–Vlasov, driven by spectrally-positive Lévy process and Brownian motion. We provide criteria for existence solutions under non-Lipschitz conditions Yamada–Watanabe type without non-degeneracy assumption fo...

This paper proposes a method to construct one-dimensional discrete chaotic system. First, we define generalized distance function control the boundedness of Based on Marotto’s theorem, systems are proven be in sense Li–Yorke, and corresponding chaos criterion theorem is proposed. The system can distributed uniformly by adjusting parameters. In this paper, propose an image encryption scheme base...

the efficiency and robustness of reliability methods are two important factors in first order reliability method (form). the conjugate choice control (ccc) and directional chaos control method (dcc) were developed to improve the robustness and efficiency of form formula using the stability transformation method. in this paper, the ccc and dcc methods are applied for reliability analysis of a co...

    Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...

Alexander B. Medvinsky et al [A. B. Medvinsky, I. A. Tikhonova, R. R. Aliev, B.-L. Li, Z.-S. Lin, and H. Malchow, Phys. Rev. E 64, 021915 (2001)] and Marcus R. Garvie et al [M. R. Garvie and C. Trenchea, SIAM J. Control. Optim. 46, 775-791 (2007)] shown that the minimal spatially extended reaction-diffusion model of phytoplankton-zooplankton can exhibit both regular, chaotic behavior, and spati...

In numerically solving the Helmholtz equation inside a connected plane domain with Dirichlet boundary conditions (the problem of the quantum billiard) one surprisingly faces enormous difficulties if the domain has a problematic geometry such as various nonconvex shapes. We have tested several general numerical methods in solving the quantum billiards. Following our previous paper (Li and Robnik...

intercalation of lithium into ag-cnts sample is reported here. we have used a nano-porous silver foam as a frame for deposition of the cnts   inside   the   pores   by   electrophoresis   deposition   (epd) technique. by using  chronopotentiometry method,  we  have noticed that the li storage capacity of the prepared ag-cnts electrode was improved  noticeably  in  comparison  with  literature. ...