A New Sweep Up /Down Phenomenon between the Chaotic and Regular Regions in a New R2L2D Circuit

R2L2D circuit becomes a chaotic circuit at certain frequencies and amplitudes. In the present study, new and strange phenomena, which is encountered in a newly-developed circuit, namely R2L2D circuit is reported. This new phenomena, which we called as the "sweep up/down effect" has been observed when the successive dynamic responses of the circuit have been explored by only adjusting the peak-to-peak amplitudes Vpp at a constant feeding frequency, namely f = 65 kHz. In one of our recent paper [13], this new circuit has been explored for a wide feeding amplitude and frequency regimes, whereas this effect has not been recognized at that time due to the lack of sensitivity. However, the detailed observations prove that the sweep up/down effect governs the identification of the dynamics in terms of periodic and chaotic regimes. Thus it gives a kind of uncertainty region at the threshold of the regimes depending on the feeding voltage increase or decrease. Besides, for a certain system parameter, i.e. Vpp, the chaotic and periodic region co-exists phenomenologically. This effect becomes vital for the synchronization and encryption studies in the sense that the decrease/increase in amplitude certainly yield to regular or chaotic behavior in the output. In addition, the transitions from regular regime to the chaotic one or vice-verse takes place without any period doubling procedure apart from the traditional observations.

Yeni R2L2D Devresinde Kaotik ve Düzenli Bölgeler Arasında Yeni Bir Yukarı/Aşağı Geçiş Olgusu

R2L2D devresi belirli frekans ve genliklerde kaotik devreye dönüşür. Bu çalışmada, yeni geliştirilen bir devrede yani R2L2D devresinde karşılaşılan yeni ve ilginç bir olguyu sunmaktayız. “Frekans yukarı/aşağı geçiş etkisi” olarak adlandırdığımız bu olgu, sabit besleme frekansında yani f = 65 kHz de sadece tepe-tepe gerilimleri Vpp ayarlanarak devrenin peşpeşe dinamik tepkileri araştırıldığında gözlemlenmiştir. Son çalışmalarımızdan birinde [13], bu yeni devre geniş bir besleme gerilimi ve frekans rejimleri için araştırılmış; ancak bu olgu, hassasiyet eksikliğinden dolayı o zaman gözlemlenememişti. Ancak, ayrıntılı gözlemler göstermektedir ki; frekans yukarı/aşağı geçiş etkisi, periyodik ve kaotik rejimler açısından dinamiğin belirlenmesinde büyük rol oynamaktadır. Bu nedenle, besleme geriliminin artış ya da azalışına bağlı olarak rejimlerin eşiğinde bir tür belirsizlik bölgesi bulunduğu doğrulanmıştır. Ayrıca belli bir sistem parametresi yani Vpp için kaotik ve periyodik bölgelerin, fenomenolojik olarak bir arada bulunduğu anlaşılmıştır. Bu etki, genlikte artış azalışın hiç şüphesiz çıkışta düzenli ya da kaotik davranışı sağlaması bağlamında senkronizasyon ve şifreleme çalışmaları için hayati olmaktadır. İlaveten; düzenli rejimden kaotik rejime ya da tersine geçişler geleneksel gözlemler dışında herhangi bir periyot katlama olmaksızın meydana gelmektedir.

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