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Planar Dynamical Systems without Critical Points

Planar Dynamical Systems without Critical Points
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Dynamic calibration of a structured light system via planar motion

2005 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2005
Active vision is widely used in robotics. However, it should be calibrated carefully before a vision task. In this paper, we propose a closed-form solution for dynamic calibration and 3D reconstruction using structured light system. In this system, we assume that the light planes cast from the DLP projector are calibrated and kept constant while the ...
Beiwei Zhang 0001, Youfu Li 0001
exaly   +2 more sources

Global Dynamics of a Planar Filippov System with Symmetry

International Journal of Bifurcation and Chaos, 2020
Chen [2016a, 2016b] studied global dynamics of the Filippov systems [Formula: see text], respectively. To study the global dynamics of [Formula: see text] completely, since the dynamics of [Formula: see text] is very simple, we are only interested in the global dynamics of [Formula: see text] in this paper.
Hongjie Pan, Xiaofeng Chen 0012, Jiao Pu, Xiaoxing Chen   +3 more
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HOMOCLINIC BIFURCATIONS IN A PLANAR DYNAMICAL SYSTEM

International Journal of Bifurcation and Chaos, 2001
The homoclinic bifurcation properties of a planar dynamical system are analyzed and the corresponding bifurcation diagram is presented. The occurrence of two Bogdanov–Takens bifurcation points provides two local existing curves of homoclinic orbits to a saddle excluding the separatrices not belonging to the homoclinic orbits. Using numerical techniques,
Fotios Giannakopoulos, Tassilo Küpper, Yongkui Zou   +2 more
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Dynamic Analysis and Control of a Planar IT-SOFC System

ASME 2009 7th International Conference on Fuel Cell Science, Engineering and Technology, 2009
This paper analyzes the dynamic behaviour of a 5 kW fuel cell system based on planar co-flow Intermediate Temperature Solid Oxide Fuel Cell (IT-SOFC) stack, with internal reforming. The system is composed by the SOFC stack, a combustor of the cell exhausts, two heat exchangers for fuel and air preheating and the related control valves, where the air ...
A. Salogni, IORA, PAOLO GIULIO, CAMPANARI, STEFANO   +2 more
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On orbital-reversibility for a class of planar dynamical systems

Communications in Nonlinear Science and Numerical Simulation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Algaba, I. Checa, Cristóbal García, Estanislao Gamero   +3 more
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HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM

International Journal of Bifurcation and Chaos, 2012
In this paper, we study the chaotic dynamics of a voltage-mode controlled buck converter, which is typically a switched piecewise linear system. For the two-dimensional hybrid system, we consider a properly chosen cross-section and the corresponding Poincaré map, and show that the dynamics of the system is semi-conjugate to a 2-shift map, which ...
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Dynamic simulaion of multibody system with planar clearance joint

Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology, 2011
A tribological analysis scheme for multibody system with clearance joints is presented by integrating frictional contact model, wear calculation with multibody dynamics. Clearance joints are modeled as a continuous contact model with friction. Progressive wear process is simulated by a widely used a finite-element-based iterative scheme.
Shoufeng Jin, Yuewen Su
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Planar Dynamical Systems

1999
In the previous chapter, we saw several classical examples of planar (or 2 dimensional) nonlinear dynamical systems. We also saw that nonlinear dynamical systems can show interesting and subtle behavior and that it is important to be careful when talking about solutions of nonlinear differential equations.
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