6533b7d7fe1ef96bd1268392

RESEARCH PRODUCT

Revisiting Bicausative Matrices: The Swiss Cheese of Chaos

subject

description

This paper returns to de Mesnard's paper of 2000, which has exposed the so-called method of bicausative matrices. This method was created to analyze the structural change between two matrices, as an improvement of the causative method of Jackson and al. (1990). In its 2000 paper, de Mesnard has shown that chaos affects the bicausative method: two solutions are found with a brutal switching between both. This new paper demonstrates that the chaos can be largely circumvented, is essentially localized in a small interval and is only a transitory effect between two non-chaotic "regimes", is not always observed, is limited to relatively small matrices.