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Experimental Mathematics Volume 5, 1996 - Issue 4
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Original Articles

Attractors with the Symmetry of the n-Cube

CIifford A. Reiter Department of Mathematics, Lafayette College, Easton, PA, 18042 E-mail: [email protected]
Pages 327-336 | Published online: 03 Apr 2012

REFERENCES

  • Ashwin , P. and Melbourne , I. 1994 . “Symmetry groups of attractors” . Arch. Rational Mech. Anal. , 126 : 59 – 78 . [Ashwin and Melbourne 1994]
  • Barany , E. , Dellnitz , M. and Golubitsky , M. 1993 . “Detecting the symmetry of attractors” . Physica D , 67 : 66 – 87 . [Barany et al. 1993]
  • Brisson , G. , Gartz , K. , Mc , B. , Cune O'Brien , K. and Reiter , C. 1996 . “Symmetric attractors in three-dimensional space” . Chaos, Solitons and Fractals , 7 : 1033 – 1051 . [Brisson et al. 1996]
  • Cox , D. , Little , J. and O'Shea , D. 1992 . Ideals, varieties, and algorithms New York : Springer. . [Cox et al. 1992]
  • Coxeter , H. M. S. 1973 . Regular polytopes New York : Dover. . [Coxeter 1973]
  • Field , M. and Golubitsky , M. 1990 . “Symmetric chaos” . Computers in Physics , 4 : 470 – 479 . [Field and Golubitsky 1990]
  • Field , M. and Golubitsky , M. 1992 . Symmetry in chaos New York : Oxford U. Press. . [Field and Golubitsky 1992]
  • Field , M. and Golubitsky , M. 1995 . “Symmetric chaos: how and why” . Notices Amer. Math. Soc. , 42 : 240 – 244 . [Field and Golubitsky 1995]
  • Golubitsky , M. , Stewart , I. and Schaeffer , D. 1985 . Singularities and groups in bifurcation theory New York : Springer. . [Golubitsky et al. 1985], 2
  • Iverson , K. 1995 . J Introduction and Dictionary Ontario : Iverson Software. . [Iverson 1995]
  • Melbourne , I. , Dellnitz , M. and Golubitsky , M. 1993 . “The structure of symmetric attractors” . Arch. Rational Mech. Anal. , 123 : 75 – 98 . [Melbourne et al. 1993]
  • Patera , J. , Sharp , R. T. and Winternitz , P. 1978 . “Polynomial irreducible tensors for point groups” . J. Math. Phys. , 19 : 2362 – 2376 . [Patera et al. 1978]
  • Reiter , C. 1995 . Fractals, visualization, and J Ontario : Iverson Software. . [Reiter 1995]
  • Sprott , J. and Pickover , C. 1995 . “Automatic generation of general quadratic map basins” . Computers and Graphics , 19 : 309 – 313 . [Sprott and Pickover 1995]
  • Stewart , I. and Golubitsky , M. 1992 . Fearful symmetry Cambridge , MA : Blackwell. . [Stewart and Golubitsky 1992]
  • Weyl , H. 1952 . Symmetry Princeton : Princeton U. Press. . [Weyl 1952]

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