This driven top is quite a novelty and can, with some trials, be made using the principles outlin... more This driven top is quite a novelty and can, with some trials, be made using the principles outlined here. This new top has many applications in developing both understanding and skills and these are detailed in the article. Depending on reader's available time and motivation they may feel an urge to make one themselves, or simply invest a few pounds in the one that has been designed, tested and manufactured to a high standard. Either way the unique design of the driven top can provide several hours of interesting experimentation. Our aim here is simply to inform and inspire readers to further investigation and experimentation.
The main goal of this paper is to study the synchronization of two identical chemical chaotic sys... more The main goal of this paper is to study the synchronization of two identical chemical chaotic systems proposed by Peng and coworkers, which is based on six rections and three intermediary species, using an adaptive feedback method. The transient time until synchronization depends on initial conditions of two systems, the strength and the number of the controllers. To achieve the synchronization is absolutely necessary to use two controllers, for example in the second and in the third equation from the slave system; if the time of synchronization might be longer than the previous case we can use only one controller, applied in the second equation of the tridimensional system.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Mar 15, 2011
Synchrony is an amazing natural phenomenon ubiquitous in the living world and also verified in la... more Synchrony is an amazing natural phenomenon ubiquitous in the living world and also verified in laboratory scale systems: chemical reaction, laser, and electronic circuits. Over the last two decades, the theoretical framework of synchronization of nonlinear oscillators, limit cycle and chaotic, is mainly established under unidirectional or mutual interactions and with complex topology. However, most of the theories start with an approximation of identical oscillators to reduce the burden of mathematical complexity to develop an understanding ...
This driven top is quite a novelty and can, with some trials, be made using the principles outlin... more This driven top is quite a novelty and can, with some trials, be made using the principles outlined here. This new top has many applications in developing both understanding and skills and these are detailed in the article. Depending on reader's available time and motivation they may feel an urge to make one themselves, or simply invest a few pounds in the one that has been designed, tested and manufactured to a high standard. Either way the unique design of the driven top can provide several hours of interesting experimentation. Our aim here is simply to inform and inspire readers to further investigation and experimentation.
The main goal of this paper is to study the synchronization of two identical chemical chaotic sys... more The main goal of this paper is to study the synchronization of two identical chemical chaotic systems proposed by Peng and coworkers, which is based on six rections and three intermediary species, using an adaptive feedback method. The transient time until synchronization depends on initial conditions of two systems, the strength and the number of the controllers. To achieve the synchronization is absolutely necessary to use two controllers, for example in the second and in the third equation from the slave system; if the time of synchronization might be longer than the previous case we can use only one controller, applied in the second equation of the tridimensional system.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Mar 15, 2011
Synchrony is an amazing natural phenomenon ubiquitous in the living world and also verified in la... more Synchrony is an amazing natural phenomenon ubiquitous in the living world and also verified in laboratory scale systems: chemical reaction, laser, and electronic circuits. Over the last two decades, the theoretical framework of synchronization of nonlinear oscillators, limit cycle and chaotic, is mainly established under unidirectional or mutual interactions and with complex topology. However, most of the theories start with an approximation of identical oscillators to reduce the burden of mathematical complexity to develop an understanding ...
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Papers by Ioan Grosu