Results 251 to 260 of about 85,433 (291)

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,
Giannakopoulos, Fotios, Küpper, Tassilo, Zou, Yongkui   +2 more
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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, Jiao Pu, Xiaoxing Chen   +3 more
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COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS

Fractals, 2010
Automatic generation of colored patterns with discrete planar symmetries is considered from a dynamical system's point of view. Invariant mappings with such symmetries are constructed to serve as the density functions for the generation of colorful images.
Lu, Jian, Zou, Yuru, Li, Wenxia
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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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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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Fractal Control of Planar Complex Dynamical Systems

2018
Until now, there are lots of outcomes about fractal basic theory, especially for the studies of Julia sets in fractal. However, the focus of their discussions are on the drawing of graphics and qualitative characters of Julia sets for various types of functions.
Shu-Tang Liu, Pei Wang
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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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Sommerfeld effect in rotationally symmetric planar dynamical systems

International Journal of Engineering Science, 2010
Sommerfeld effect concerns the non-linear jump phenomena induced due to the influence of the unbalance response on a non-ideal drive around the critical speed of the excited structure. In this work, we study the influence of external and internal dampings and gyroscopic forces on the Sommerfeld effect in rotationally symmetric planar dynamical systems.
A.K. Samantaray, S.S. Dasgupta, R. Bhattacharyya   +2 more
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Planar Curve Representation of Many-Body Systems and Dynamics

Physical Review Letters, 1997
Summary: A method is introduced to represent many-body systems of arbitrary dimensionality by planar curves. The positions and momenta of the particles are the parameters of a time-dependent nonlinear transformation, which maps the many-body dynamics of the real system to the motion of the curve.
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CONSTRUCTION OF SPHERICAL PATTERNS FROM PLANAR DYNAMIC SYSTEMS

Fractals, 2013
We investigated the generation of spherical continuous-tilings of the chaotic attractors or the filled-in Julia sets from the plane mappings. We build three plane mappings, which can be used to construct the continuous patterns on the surfaces of the hexahedron and the unit sphere.
NING CHEN, NANNAN LUO
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