Current Proceedings on Technology

Yazarlar: Metin Varan, Yılmaz Uyaroğlu

Konular:-

Anahtar Kelimeler:Lü’s system,Chaotic oscillator,Phase portraits,Time series,Non-linear analysis,Periodic orbits

Özet: There are many chaotic oscillators used for chaotic modeling and analyzing; generally, each oscillator is applied for specific areas. Newly developed attractor chaotic Lü’s system that bridged the gap between Lorenz and Chen attractor was found in 2002. This study aims for analyzing chaotic Lü’s system oscillator by using time series analysis, phase portrait analysis and periodic orbits. The proposed analysis method also includes traction of vector and direction fields method which is a graphical method for displaying the general shape and behavior of solutions of a nonlinear system for explaining chaos in phase portraits and periodic orbits. It is shown that the presence of periodic orbits in the chaotic Lü’s system is also one likely mechanism responsible for the occurrence of a strange attractor. A wide collection of useful numerical algorithms for the exploration of Lü’s system have been handled through the open-source XPPAUTO nonlinear system analysis tool.

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