Chaotic systems are widely used in various aspects such as information security, signal processing, and synchronous control. The structural complexity the chaotic behavior of two significant factors affecting their practical applications. In this paper, we propose a universal two-dimensional (2D) absolute-cosine model (ACCM). 2D-ACCM is composed nonlinear bounded cosine function an absolute val...

chaos theory discusses unstable and non-periodic behavior of non-linear fluctuating dynamicsystems. since evaporation level variations of lakes have a dynamic identity, chaos theory can have a uniquerole in collecting data of these variations. therefore it is an important and challenging problem in the field ofplanning and qualitative and quantitative management of urmia lake to verify whether ...

We study the transition from stochasticity to determinism in calcium oscillations via diffusive coupling of individual cells that are modeled by stochastic simulations of the governing reaction-diffusion equations. As expected, the stochastic solutions gradually converge to their deterministic limit as the number of coupled cells increases. Remarkably however, although the strict deterministic ...

Chaos reveals a nonlinear behavior of chaotic system with the extreme sensitivity to initial conditions. Chaos adequately justify the complicated behavior of phenomena by presenting a very simple models comprises a limited equations which involve the deterministic, dynamical systems in continuous time space to present the copacetic approximation of real world. This is of particular relevance in...

Machine tools based on a Stewart platform are considered the machine tools of the 21st century. Difficult problems exist in the design philosophy, of which forward displacement analysis is the most fundamental. Its mathematical model is a kind of strongly nonlinear multivariable equation set with unique characteristics and a high level of difficulty. Different variable num...

CHARMM (Chemistry at Harvard Macromolecular Mechanics) is a program that is widely used to model and simulate macromolecular systems. CHARMM has been parallelized by using the CHAOS runtime support library on distributed memory architectures. This implementation distributes both data and computations over processors. This data-parallel strategy should make it possible to simulate very large mol...

Polynomial chaos expansions represent a powerful tool to simulate stochastic models of dynamical systems. Yet, deriving the expansion's coefficients for complex systems might require a significant and nontrivial manipulation of the model, or the computation of large numbers of simulation runs, rendering the approach too time consuming and impracticable for applications with more than a handful ...

Statistical mechanics is an asymptotic theory valid in the limit of an infinite number of degrees of freedom. The study of small-dimensional chaos, starting from the papers by Lorenz [1]and Henon and Heiles [2], raises the question: What is essential for the laws of statistical mechanics to be true —a large number of degrees of freedom or chaos? For ergodic Hamiltonian systems the answer was gi...

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 ...