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CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS

Cilt: 10 Sayı: 2 5 Ağustos 2016
  • Dragomir Chantov
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CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS

Öz

In this paper three methods for chaotic synchronization, based on the known linear-nonlinear decomposition method, are proposed. The main advantage of this kind of decomposition is that the stability analysis of the synchronization scheme can be done by a linear error system, so there is no need to calculate the conditional Lyapunov exponents or to design Lyapunov functions. The new aspect of the proposed approaches is, that in contrast to the standard linear-nonlinear decomposition method, strict rules to design the system couplings with many different combinations of additional decomposition of the linear part of the system or with additional feedback coupling are defined

Anahtar Kelimeler

Kaynakça

  1. Pecora, L., T. Carroll. Driving systems with chaotic signals. Physical Review A, Vol.44, No.4, 1991, pp.2374- 2384.
  2. Pecora, L., T. Carroll. Synchronization in chaotic systems. Physical Review Letters, Vol.64, No.8, 1990, pp.821- 824.
  3. Guemez, J., M. Matias. Modified method for synchronizing and cascading chaotic systems, Physical Review E 52, 1995, pp.2145-2148.
  4. Pecora, L., T. Carroll, G. Johnson, D. Mar, J. Heagy. Fundamentals of synchronization in chaotic systems, concepts, and applications. Chaos 7(4), 1997, pp.520-543.
  5. Kocarev, L., U. Parlitz. General approach for chaotic synchronization with applications to communication. Physical Review Letters, Vol.74, No.25, 1995, pp.5028-5031.
  6. Ogorzalek, M. Taming chaos – part I: Synchronization. IEEE Transactions on Circuits and Systems-I, Vol.40, No.10, 1993, pp.693-699.
  7. Boccaletti, S., J. Kurths, G. Osipov, D. Valladares, C. Zhou. The synchronization of chaotic systems. Physics Reports 366 (2002), pp.1-101.
  8. Morgul, O., M. Feki, Synchronization of chaotic systems by using occasional coupling, Physical Review E, Vol.55, No.5, 1997, pp.5004-5010.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Yapısal Biyoloji

Bölüm

Konferans Bildirisi

Yazarlar

Dragomir Chantov Bu kişi benim

Yayımlanma Tarihi

5 Ağustos 2016

Gönderilme Tarihi

5 Ağustos 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2009 Cilt: 10 Sayı: 2

Kaynak Göster

APA
Chantov, D. (2016). CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS. Trakya Üniversitesi Fen Bilimleri Dergisi, 10(2), 165-171. https://izlik.org/JA47CA88LF
AMA
1.Chantov D. CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS. Trakya Univ J Sci. 2016;10(2):165-171. https://izlik.org/JA47CA88LF
Chicago
Chantov, Dragomir. 2016. “CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS”. Trakya Üniversitesi Fen Bilimleri Dergisi 10 (2): 165-71. https://izlik.org/JA47CA88LF.
EndNote
Chantov D (01 Ağustos 2016) CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS. Trakya Üniversitesi Fen Bilimleri Dergisi 10 2 165–171.
IEEE
[1]D. Chantov, “CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS”, Trakya Univ J Sci, c. 10, sy 2, ss. 165–171, Ağu. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA47CA88LF
ISNAD
Chantov, Dragomir. “CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS”. Trakya Üniversitesi Fen Bilimleri Dergisi 10/2 (01 Ağustos 2016): 165-171. https://izlik.org/JA47CA88LF.
JAMA
1.Chantov D. CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS. Trakya Univ J Sci. 2016;10:165–171.
MLA
Chantov, Dragomir. “CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS”. Trakya Üniversitesi Fen Bilimleri Dergisi, c. 10, sy 2, Ağustos 2016, ss. 165-71, https://izlik.org/JA47CA88LF.
Vancouver
1.Dragomir Chantov. CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS. Trakya Univ J Sci [Internet]. 01 Ağustos 2016;10(2):165-71. Erişim adresi: https://izlik.org/JA47CA88LF