Dynamical analysis of fractional order U double dagger ar prototype delayed system

作者：Bhalekar Sachin^*

来源：Signal, Image and Video Processing, 2012, 6(3): 513-519.

DOI：10.1007/s11760-012-0330-4

• Caputo fractional derivative
• Ucar system
• Time delay
• Predictor-corrector scheme
• Chaos

Chaotic dynamics of the fractional order U double dagger ar system involving time delay is studied. Modified Adams-Bashforth-Moulton method is used for numerical simulations. Effect of fractional order and delay on chaotic behavior of the system is studied. The two-scroll attractor is observed in the system for the range of fractional order 0.5 < alpha a parts per thousand currency sign 1. For the range 0.2 a parts per thousand currency sign alpha a parts per thousand currency sign 0.5, same system shows one-scroll attractor.

• 出版日期2012-9