بررسی همزمان سازی سیستم های یکسان و غیر یکسان

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

1 هیات علمی

2 دانشگاه زنجان، گروه فیزیک

چکیده

همانگونه که می دانیم روش های متعددی برای همزمان سازی سیستم های بی نظم وجود دارد. در این تحقیق، روش هم زمانی تطبیقی را برای سه سیستم جالب مورد مطالعه قرار می دهیم. این سیستم ها شامل سیستم راسلر-راسلر، سیستم لیو- لیو و سیستم لیو- راسلر می باشند. همزمانی این سیستم ها را تحت شرایط گوناگون شبیه سازی می کنیم. شبیه سازی همزمانی بین سیستم های مورد مطالعه نشان می دهند که این سیستم ها حتی در حضور پارامتر های نامعلوم می توانند به طور کامل همزمان شوند. از نتایج به دست آمده در می یابیم که سرعت همزمانی در سیستم راسلر- راسلر سریعتر از دو سیستم دیگر می باشد. همچنین، سیستم لیو- لیو سریعتر سیستم سوم همزمان می شود. به طور خلاصه می توان گفت که روش شبیه سازی تطبیقی برای سیستم های یکسان (راسلر- راسلر و لیو- لیو) بهتر عمل می کند و این سیستم ها زودتر همزمان می شوند.

کلیدواژه‌ها


عنوان مقاله [English]

Investigation of synchronization for similar and non-similar systems

نویسندگان [English]

  • Reza Khordad 1
  • M. A. Dehghani 2
1 Department of Physics, Yasouj University
2 Department of Physics, Zanjan University
چکیده [English]

There are several methods to synchronize chaotic systems. In this work, we have proposed the adaptive synchronization to study the three interesting systems. These systems are Rössler-Rössler, Liu-Liu, and Liu-Rössler. We have simulated the synchronization of the systems under different circumstances. A numerical simulation of synchronization between the proposed systems demonstrates that the systems can synchronize with this method perfectly even in the presence of unknown parameters. We have deduced that the synchronization speed in the first system (Rössler-Rössler) is faster than the rest. Also, the second system (Liu-Liu) is synchronized faster than the third system. According to the results obtained in this paper, we can say that the adaptive synchronization works better on similar systems such as Rössler-Rössler and Liu-Liu.

کلیدواژه‌ها [English]

  • Adaptive synchronization
  • Chaotic systems
  • Chaos
 

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