A General Dynamics Model under Timing-Sequence Geometry Principle

DOI

10.2991/meic-15.2015.267How to use a DOI?

Keywords

Timing sequence; Geometry; NURBS; dynamics

Abstract

This paper presents a universal model for dynamic system based on geometric modeling methods. The model uses time series that implicates dynamic characteristics as study object, uses geometric modeling methods as basic ideas, and uses embedding time element in NURBS model as the key, for representing arbitrary dynamic system and obtaining dynamic characteristics, called Series-Geometry NURBS (SNURBS for short). Then, we provided two methods based on the principle of S-NURBS in detail. One is Direct Time NURBS method that is appropriate for the research of analytic properties of dynamic system state space. The other is Tangent Vector NURBS method for the research of differential properties of system. Then we proposed a new algorithm for Maximum Lyapunov Exponent of chaotic time series on the foundation of our methods. In the end, we used simple physical projectile system and classical complex system Lorenz chaos to verify validity of these methods. S-NURBS is of specific advantages compared with traditional models for dynamic time series within acceptable error limits according to the experimental results. This is an original idea for dynamics.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Chenxi Shao
AU  - Yong Xue
PY  - 2015/04
DA  - 2015/04
TI  - A General Dynamics Model under Timing-Sequence Geometry Principle
BT  - Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 1176
EP  - 1179
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-15.2015.267
DO  - 10.2991/meic-15.2015.267
ID  - Shao2015/04
ER  -