Nonlinear chemical dynamics
نویسندگان
چکیده
The interdisciplinary field of nonlinear chemical dynamics has grown significantly in breadth and depth over the past three decades. Its subject matter and applications encompass all branches of chemistry as well as areas of mathematics, physics, biology and engineering. In this Perspective, we present an overview of some of the key results of nonlinear chemical dynamics, with emphasis on those areas most likely to be of interest to inorganic chemists. We discuss the range of phenomenology from chemical oscillation to chaos to waves and pattern formation, as well as experimental methods, mechanistic considerations, theoretical techniques, and the results of coupling and external forcing.
منابع مشابه
Exploration of the Significance of Autocatalytic Chemical Reaction and Cattaneo-Christov Heat Flux on the Dynamics of a Micropolar Fluid
During the homogeneous-heterogeneous autocatalytic chemical reaction in the dynamics of micropolar fluid, relaxation of heat transfer is inevitable; hence Cattaneo-Christov heat flux model is investigated in this report. In this study, radiative heat flux through an optically thick medium is treated as nonlinear due to the fact that thermal radiation at low heat energy is distinctly different f...
متن کاملVARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.
متن کاملDefinition of General Operator Space and The s-gap Metric for Measuring Robust Stability of Control Systems with Nonlinear Dynamics
In the recent decades, metrics have been introduced as mathematical tools to determine the robust stability of the closed loop control systems. However, the metrics drawback is their limited applications in the closed loop control systems with nonlinear dynamics. As a solution in the literature, applying the metric theories to the linearized models is suggested. In this paper, we show that usin...
متن کاملA phenomenological approach to modeling chemical dynamics in nonlinear and two-dimensional spectroscopy.
We present an approach for calculating nonlinear spectroscopic observables, which overcomes the approximations inherent to current phenomenological models without requiring the computational cost of performing molecular dynamics simulations. The trajectory mapping method uses the semi-classical approximation to linear and nonlinear response functions, and calculates spectra from trajectories of...
متن کاملNonlinear Dynamics and Control of Crank-Slider Mechanism with Multiple Clearance Joints
In the current study, behavior of crank-slider mechanism with single and multiple clearance joints are analyzed. Using Lankarani-Nikravesh theory for estimating discontinuous contact forces in clearance joints, relevant systems have been mathematically modeled. Through numerical simulations, perturbations in response of mechanisms with clearance joints have been analyzed. Effects of increasing ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003