*SYNCHRONIZATION, *CHAOS theory, *STABILITY (Mechanics), *PAPER, *NONLINEAR systems
Abstract
This paper analyzes a coupled dynamic system. Based on the stability criterion of linear systems, a new approach for constructing chaotic synchronization and anti-synchronization is proposed. The complete synchronizations and anti-synchronizations of the coupled dynamic system are achieved via the linear separation method. Finally, the method is applied in security communication. Numerical simulations are provided for illustration and verification of the proposed method. [ABSTRACT FROM AUTHOR]
Abstract: In the present paper, a description and mathematical analysis of a simple model of nonlinear pattern formation is given. The model is based on the so-called activator-inhibitor system proposed by Thomas. We introduce time delay into the reaction term and focus on its influence on morphogenesis and pattern formation. Numerical simulations are presented and compared for both cases without and with delay. [Copyright &y& Elsevier]
Reports on a study by Cornell University associate professor Z. Jane Wang and her graduate student Umberto Pesavento titled "Falling Paper: Navier-Stokes Solutions, Model of Fluid Forces and Center of Mass Elevation". Reasons why leaves and paper fall and rise in a seeming chaotic manner; Failure of the classic aerodynamic theory to predict the trajectory of thin, flat things.