Design and Circuit Implementation of fractional-Order Multiwing Chaotic attractors

In this paper, a novel approach is proposed for generating fractional-order multiwing chaotic attractors. Based on a fractional-order linear differential system, by introducing the nonlinear state feedback controller equipped with an even symmetric multisegment quadratic function, various fractional-order multiwing chaotic attractors can be generated. An improved module-based circuit is also designed for verifying the effectiveness of the proposed method.

[1]  Simin Yu,et al.  Generation of grid multi-scroll chaotic attractors via switching piecewise linear controller , 2010 .

[2]  Sha Wang,et al.  Hybrid projective synchronization of chaotic fractional order systems with different dimensions , 2010 .

[3]  Sara Dadras,et al.  A novel three-dimensional autonomous chaotic system generating two, three and four-scroll attractors , 2009 .

[4]  Hari M. Srivastava,et al.  Applications of fractional calculus to parabolic starlike and uniformly convex functions , 2000 .

[5]  Julien Clinton Sprott,et al.  Chaos in fractional-order autonomous nonlinear systems , 2003 .

[6]  Mustak E. Yalcin,et al.  Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions , 2007 .

[7]  Mohammad Saleh Tavazoei,et al.  Chaotic attractors in incommensurate fractional order systems , 2008 .

[8]  Junwei Wang,et al.  Synchronization in coupled nonidentical incommensurate fractional-order systems , 2009 .

[9]  Guanrong Chen,et al.  A family of n-scroll hyperchaotic attractors and their realization , 2007 .

[10]  Hari M. Srivastava,et al.  Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients , 1995 .

[11]  Chunguang Li,et al.  Chaos and hyperchaos in the fractional-order Rössler equations , 2004 .

[12]  Changpin Li,et al.  Synchronization in fractional-order differential systems , 2005 .

[13]  Sara Dadras,et al.  Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system , 2010 .

[14]  Yibei Nian,et al.  Controlling fractional order chaotic systems based on Takagi-Sugeno fuzzy model and adaptive adjustment mechanism , 2010 .