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Planar non-smooth dynamical systems
Lecture Notes in Mathematics, 2000Markus Kunze, Kunze Markus
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Global Dynamics of a Planar Filippov System with Symmetry
International Journal of Bifurcation and Chaos, 2020Chen [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 +3 more
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HOMOCLINIC BIFURCATIONS IN A PLANAR DYNAMICAL SYSTEM
International Journal of Bifurcation and Chaos, 2001The 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 +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, 2009This 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 +2 more
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HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM
International Journal of Bifurcation and Chaos, 2012In 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, 2011A 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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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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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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Bifurcation Analysis of Planar Piecewise Linear System with Different Dynamics
International Journal of Bifurcation and Chaos, 2016In this paper, we investigate the bifurcation phenomena of a planar piecewise linear system. This piecewise linear system comprises two linear subsystems. The two linear subsystems have different types of dynamics. One subsystem has node or saddle dynamic and the other has focus dynamic.
Xiaoshi Guo, Dingheng Pi, Zhensheng Gao
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The stability of planar dynamical systems linear-in-cones
IEEE Transactions on Automatic Control, 1981An explicit characterization is given of stability and stabilizability for certain piecewise linear systems, i.e., systems linear-in-cones.
Pachter, M., Jacobson, D. H.
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