Title :
Visualizing Non-linear Ordinary Differential Dynamic System Using Simulink
Author :
Gao, Xiang-Min ; Pang, Ming-Yong
Author_Institution :
Dept. of Educ. Technol., Nanjing Normal Univ., Nanjing, China
Abstract :
It is very important to research non-linear ordinary differential dynamic systems (DDS) by using numerical and visualizing methods. In this paper, taking the famous Duffing´s equation as an example, we introduce some visualization skills for visualizing the non-linear DDS based on the Simulink platform. We present a set of rendering methods for phase diagram, Poincare¿´s mapping, bifurcation graph, correlative dimension of chaotic attractors, etc. The methods and skills presented in the paper can be used in analyzing various non-linear DDS.
Keywords :
Poincare mapping; bifurcation; chaos; data visualisation; mathematics computing; nonlinear differential equations; nonlinear dynamical systems; phase diagrams; rendering (computer graphics); Duffing equation; Poincare¿ mapping; Simulink; bifurcation graph; chaotic attractors; correlative dimension; nonlinear ordinary differential dynamic system; phase diagram; rendering methods; visualization skills; Bifurcation; Chaos; Computational modeling; Differential equations; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation; Stochastic systems; Trajectory; Visualization; modelling dynamic system; non-linear dynamic system; ordinary differential equation; simulation; visualization;
Conference_Titel :
Computer Science and Engineering, 2009. WCSE '09. Second International Workshop on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-3881-5
DOI :
10.1109/WCSE.2009.738