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Selected Topics in Nonlinear Dynamics and Theoretical by Krzysztof Czolczynski, Przemysaw Perlikowski, Andrzej

By Krzysztof Czolczynski, Przemysaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak (auth.), Kyandoghere Kyamakya, Wolfgang A. Halang, Wolfgang Mathis, Jean Chamberlain Chedjou, Zhong Li (eds.)

This publication features a number of fresh complicated contributions within the box of nonlinear dynamics and synchronization, together with chosen functions within the region of theoretical electric engineering. the current booklet is split into twenty-one chapters grouped in 5 elements. the 1st half makes a speciality of theoretical matters regarding chaos and synchronization and their capability functions in mechanics, transportation, verbal exchange and safety. the second one half handles dynamic platforms modelling and simulation with designated purposes to actual actual platforms and phenomena. The 3rd half discusses a few basics of electromagnetics (EM) and addresses the modelling and simulation in a few actual actual electromagnetic eventualities. The fourth half generally addresses balance matters. eventually, the final half assembles a few pattern purposes within the region of optimization, facts mining, development reputation and snapshot processing.

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3) can also be synthesized using opamps, as shown in Fig. 3. Note that, the blocks SF ( x1 ) and SF ( x2 ) represent the PWL functions in Fig. 2. 4V, R = 10KΩ, Rca = 64KΩ, Ria = 1KΩ and R f a = 1MΩ, in Fig. 2nF, Rx = Ry = Rz = 7KΩ, Ri = R f = 10KΩ in Fig. 3 one gets a 2D-4-scrolls chaotic oscillator as shown in Fig. 4. The Lyapunov exponents are computed by using the method published in [24]. 851. 2 On the Synchronization of 1D and 2D Multi-scroll Chaotic Oscillators Rfa Ria Rca +Ei Rca R +Ei Rca Rfa Rfa x1 Rca Rfa Ria 25 Ria Rca x2 Ria v(x2) Rca i(x2) i(x1) Rfa Rca Rfa Ria Ria Rca Rca -Ei -Ei Fig.

References 1. : Huygens’s clocks. Proc. Roy. Soc. London, A 458, 563–579 (2002) 2. : Synchronization in Science and Technology. : The history of The Royal Society of London for improving of natural knowledge, in which the most considerable of those papers communicated to the Society, which have hitherto not been published, are inserted in their proper order, as a supplement to the Philosophical Transactions, vol. 2, pp. 19, 21, 23–24. Johnson, London (1756) (reprint 1968) 3. : Britten’s old clocks and watches and their makers; a historical and descriptive account of the different styles of clocks and watches of the past in England and abroad containing a list of nearly fourteen thousand makers.

The basic idea of this scheme is as follows: A private message is transmitted over an insecure communication channel. To avoid any unauthorized intruder located at the mentioned channel; the message is encrypted prior to transmission to generate an encrypted message by using two n-chaotic oscillators that generate, in this case, 1D-4-scrolls. The encrypted binary message is sent to the receiver, where the message is recovered by the synchronization error. The chaotic switching technique is based on one transmission channel, which is a remarkable feature, since a single channel is usually available for communication applications [19].

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