We have studied in Chap.  2 the use of total variations to characterize the chaotic behavior of interval maps. In this chapter, we will generalize such an approach to maps on multi-dimensional spaces.

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Rapid Fluctuations of Chaotic Maps on \(\mathbb {R}^N\)

  • Liangliang Li,
  • Yu Huang,
  • Goong Chen

摘要

We have studied in Chap.  2 the use of total variations to characterize the chaotic behavior of interval maps. In this chapter, we will generalize such an approach to maps on multi-dimensional spaces.