Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system

作者：Matouk A E^*

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2009, 373(25): 2166-2173.

DOI：10.1016/j.physleta.2009.04.032

• Fractional order
• Novel hyperchaotic system
• Routh-Hurwitz conditions
• Hyperchaos
• Hyperchaos control

The stability conditions in fractional order hyperchaotic systems are derived. These conditions are applied to a novel fractional order hyperchaotic system. The proposed system is also shown to exhibit hyperchaos for orders less than 4. Based on the Routh-Hurwitz conditions, the conditions for controlling hyperchaos via feedback control are also obtained. A specific condition for controlling only fractional order hyperchaotic systems is achieved. Numerical Simulations are used to verify the theoretical analysis.

• 出版日期2009-6-1