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Dynamical Systems
An International Journal
Volume 23, 2008 - Issue 4
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Original Articles

Relative rotation number for stochastic systems: dynamical and topological applications

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Pages 425-435 | Received 07 Aug 2007, Accepted 12 Apr 2008, Published online: 08 Nov 2008

References

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  • Ruffino , P . 1997 . Rotation numbers for stochastic dynamical systems . Stochastics and Stochastics Reports , 60 : 289 – 318 .
  • Ruffino , P . 2002 . Decomposition of stochastic flow and rotation matrix . Stochastics and Dynamics , 2 : 93 – 108 .
  • Arnold , L and San Martin , L . 1989 . A multiplicative ergodic theorem for rotation numbers . J. Dynam. Differ. Equat. , 1 : 95 – 119 .
  • Bott , R and Tu , LW . 1982 . Differential Forms in Algebraic Topology , New York, Berlin : Springer .
  • Schwartzman , S . 1957 . Asymptotic cycles . Ann. Math. , 66 : 270 – 284 .
  • Abraham , R , Marsden , JE and Ratiu , T . 1988 . Manifolds, Tensor Analysis, and Applications , 2 , New York, Berlin : Springer .
  • do Carmo , MP . 1976 . Differential Geometry of Curves and Surfaces , Englewood Cliffs , NJ : Prentice Hall .
  • Stender , T . 2007 . A generalization of imaginary parts of eingenvalues for matrices: chain RNs . Linear Algebra Appl. , 426 : 53 – 70 .

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