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The proposed modified Liu system with fractional order. (English) Zbl 1298.37017

Summary: The chaos in a new system with order 3 is studied. We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C75 Stability theory for smooth dynamical systems
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
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