Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method

Hamed Tirandaz

Kybernetika (2018)

  • Volume: 54, Issue: 4, page 829-843
  • ISSN: 0023-5954

Abstract

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The synchronization problem of the three-scroll unified chaotic system (TSUCS) is studied in this paper. A modified function projective synchronization (MFPS) method is developed to achieve this goal. Furthermore, the only parameter of the TSUCS unified chaotic system is considered unknown and estimated with an appropriate parameter estimation law. MFPS method is investigated for both identical and non-identical chaotic systems. Lyapunov stability theorem is utilized to verify the proposed feedback control laws and validate the proposed synchronization scheme. Finally, some numerical simulations are presented to assess the effectiveness of the theoretical discussions.

How to cite

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Tirandaz, Hamed. "Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method." Kybernetika 54.4 (2018): 829-843. <http://eudml.org/doc/294276>.

@article{Tirandaz2018,
abstract = {The synchronization problem of the three-scroll unified chaotic system (TSUCS) is studied in this paper. A modified function projective synchronization (MFPS) method is developed to achieve this goal. Furthermore, the only parameter of the TSUCS unified chaotic system is considered unknown and estimated with an appropriate parameter estimation law. MFPS method is investigated for both identical and non-identical chaotic systems. Lyapunov stability theorem is utilized to verify the proposed feedback control laws and validate the proposed synchronization scheme. Finally, some numerical simulations are presented to assess the effectiveness of the theoretical discussions.},
author = {Tirandaz, Hamed},
journal = {Kybernetika},
keywords = {chaos synchronization; three-scroll unified chaotic system (TSUCS); modified function projective synchronization (MFPS); nonlinear dynamics},
language = {eng},
number = {4},
pages = {829-843},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method},
url = {http://eudml.org/doc/294276},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Tirandaz, Hamed
TI - Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 4
SP - 829
EP - 843
AB - The synchronization problem of the three-scroll unified chaotic system (TSUCS) is studied in this paper. A modified function projective synchronization (MFPS) method is developed to achieve this goal. Furthermore, the only parameter of the TSUCS unified chaotic system is considered unknown and estimated with an appropriate parameter estimation law. MFPS method is investigated for both identical and non-identical chaotic systems. Lyapunov stability theorem is utilized to verify the proposed feedback control laws and validate the proposed synchronization scheme. Finally, some numerical simulations are presented to assess the effectiveness of the theoretical discussions.
LA - eng
KW - chaos synchronization; three-scroll unified chaotic system (TSUCS); modified function projective synchronization (MFPS); nonlinear dynamics
UR - http://eudml.org/doc/294276
ER -

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