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Phys. Rev. E 58, 7987–7989 (1998)

Invertibility of dynamical systems in granular phase space

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P.-M. Binder* and Juan C. Idrobo
Departamento de Física, Universidad de Los Andes, Apartado Aéreo 4976, Bogotá, Colombia

Received 26 June 1998; published in the issue dated December 1998

The (non)invertibility of iterated dynamical systems is not necessarily preserved under computer discretization. This is shown for linear congruential generators and the circle map. For the latter, the loss of invertibility becomes worse for finer discretization steps.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.58.7987
DOI:
10.1103/PhysRevE.58.7987
PACS:
89.80.+h, 02.60.Cb, 05.45.+b

*Author to whom correspondence should be addressed. Electronic address: p@faoa.uniandes.edu.co