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In this paper, we use the concept of practical stabilization of impulsive differential equations for controlling nonautonomous chaotic systems. Instead of controlling a chaotic system to a point as in the case of asymptotic stabilization, the aim of practical control is to stabilize a chaotic system into a small region of phase space. This method is useful to control a chaotic system into a prescribed region. We present the theory of controlling a nonautonomous chaotic system into a small region around the origin and illustrate the method on Duffing's oscillator.
The first conducting polythiophene, having only dendritic solubilizers, has been prepared using a Stille coupling approach. The use of second and third generation aliphatic ether convergent dendrons as a solubilizing platform facilitated the preparation of dendrimer-oligothiophene hybrid macromonomers having minimal substitution. Polymers were then prepared via an A2 + B2 step-growth polymerization between an oligothiophene−dibromide macromonomer and 2,5-bis(trimethylstannyl)thiophene using Pd(PPh3)2Cl2 as the catalyst. Both the dendrimer size and the dendrimer to thiophene unit ratio were variables that required optimization in order to obtain a solution-processable conducting polymer. Conductivities as high as 200 S/cm were measured for iodine doped thin films of the polythiophene with six thiophene repeat units for each third generation dendron.
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
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