Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations

Phase synchronization occurs whenever a linearized system describing the evolution of the difference between coupled chaotic systems has at least one eigenvalue with zero real part. We illustrate numerical phase synchronization results and stability analysis for some coupled Sprott chaotic systems presented by fractional differential equations.

[1]  Weihua Deng,et al.  CHAOS SYNCHRONIZATION OF FRACTIONAL-ORDER DIFFERENTIAL SYSTEMS , 2006 .

[2]  W. Deng,et al.  Chaos synchronization of the fractional Lü system , 2005 .

[3]  González-Miranda Jm,et al.  Chaotic systems with a null conditional Lyapunov exponent under nonlinear driving. , 1996 .

[4]  D. Matignon Stability results for fractional differential equations with applications to control processing , 1996 .

[5]  Carroll,et al.  Driving systems with chaotic signals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[6]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[7]  Changpin Li,et al.  Chaos in Chen's system with a fractional order , 2004 .

[8]  G. H. Erjaee On analytical justification of phase synchronization in different chaotic systems , 2009 .

[9]  Lee-Ming Cheng,et al.  Synchronization of spatiotemporal chaos with positive conditional Lyapunov exponents , 1997 .

[10]  Yinping Zhang,et al.  Chaotic synchronization and anti-synchronization based on suitable separation , 2004 .

[11]  I. Podlubny Fractional differential equations , 1998 .

[12]  S. S. Yang,et al.  Synchronizing hyperchaos with a scalar signal by parameter controlling , 1997 .

[13]  J. Sprott,et al.  Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  A. Tamasevicius,et al.  Synchronising hyperchaos in infinite-dimensional dynamical systems , 1998 .

[15]  G. H. Erjaee,et al.  Interesting Synchronization-like Behavior , 2004, Int. J. Bifurc. Chaos.

[16]  Peng,et al.  Synchronizing hyperchaos with a scalar transmitted signal. , 1996, Physical review letters.