Bialternate matrix products and its application in bifurcation theory - Maple Application Center
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Bialternate matrix products and its application in bifurcation theory

Author
: Veronika Hajnová
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The central theorems in bifurcation theory are normal form theorems. The structure of all the theorems is the same. It claims, under certain assumptions, an arbitrary system of differential, resp, difference, equations is locally topologically equivalent to the normal form. One type of assumption can be formulated as equalities. For generic one-parameter bifurcations, there is always only one equality assumption. It stands as a condition for eigenvalues of the Jacobi matrix of the system. Those assumptions, so-called test functions, are formulated in section Bifurcation of this sheet. Bialternate product is a matrix product, which allows expressing test functions for Hopf and Neimark-Sacker bifurcations detection and continuation.

Application Details

Publish Date: September 28, 2019
Created In: Maple 18
Language: English

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