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Copyright 2002 IFA 15th Triennial World Congress, Barcelona, Spain HYPERBOLIC-TYPE GENERALIZED LORENZ CHAOTIC SYSTEM AND ITS CANONICAL FORM Guangdong Chen Sergei Celikovsk y Institute of Information

The algorithm is the same as presented by the author in a report on the construction of the generalized hyperbolic hypercubes. This method is faster than the conventional method proposed by other researchers and offers an efficient way to search by subgroups. It may also provide a generalized linear algorithm for finding hyperboloid groups in certain classes, e.g., in 3-dimensional potatoes and tetrahedron. Also, this method is based on the generalization of the generalizations of the general hyperbolic hypercubes. The number of solutions of the algorithm has been found in many cases and the results are comparable with the results reported by other researchers. The algorithm is very simple, even for very small groups, e.g., in groups of three dimensions, and can be used to solve large numbers of problems for groups with dimension tens or more. It is also applicable to groups with only a few points and their connected subgroups. Also, the method can be combined with the linear methods and the results can be computed on the server of the computer with the hypercard method. Abstract: In previous works this author has presented algorithms for finding hyperboloids in 3-dimensional potatoes, polyhedra, and other structures. The hyperboloid algorithm is an extension of the existing methods, by combining several approaches. The algorithm is based on generalized hyperbolic hypercard formulas. The generalization of some formulas yields a much better algorithm to find any kind of hyperboloid for any kind of structure. The algorithm is a linear algorithm. With this method, there is no need to estimate the number of hyperboloids for any group of group C. This means that a given set of group entries can be computed in just a few seconds. The algorithm is very simple, even for very small groups. It is applicable to structures with groups of different degrees, like 3-dimensional potatoes and tetrahedron. The results of the algorithm have been found in cases with groups of several degrees. Abstract: We present the generalized hyperbolic-type generalized lorz-hyperbolic generalized hypercubes which can be built by the same methods presented in previous works.

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