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A generic mechanism determining the fractality of basin boundary structures

Author

Listed:
  • Parisi, J.
  • Peinke, J.
  • Kittel, A.
  • Klein, M.
  • Rössler, O.E.

Abstract

A simple prototype diffeomorphism containing a chaotically forced bistability is demonstrated to produce Weierstrass-function-like basin boundaries of self-affine, self-similar, and/or nowhere differentiable fractal structure, depending on two competing characteristic exponents.

Suggested Citation

  • Parisi, J. & Peinke, J. & Kittel, A. & Klein, M. & Rössler, O.E., 1992. "A generic mechanism determining the fractality of basin boundary structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 571-575.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:571-575
    DOI: 10.1016/0378-4371(92)90585-E
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    References listed on IDEAS

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    1. Jerzy Kyparisis, 1990. "Sensitivity Analysis for Nonlinear Programs and Variational Inequalities with Nonunique Multipliers," Mathematics of Operations Research, INFORMS, vol. 15(2), pages 286-298, May.
    2. Parisi, Giorgio & Pietronero, Luciano, 1991. "Theory of stretched exponential relaxation and critical behavior at depinning for charge density waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(1), pages 16-38.
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