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- W4299456260 abstract "Starting from the cycle permutation sigma_(2^k) associated with the (2^k)-periodic orbit of the period doubling cascade we obtain the inverse permutation (sigma_(2^k))^-1. Then we build a matrix permutation related to (sigma_(2^k))^-1, which includes the visiting order of the (2^k)-periodic orbit points. After some manipulations a recurrence relation of matricial representation of period doubling cascade is obtained. Finally the explicit matricial representation is reached." @default.
- W4299456260 created "2022-10-02" @default.
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- W4299456260 date "2010-01-18" @default.
- W4299456260 modified "2023-10-14" @default.
- W4299456260 title "Matricial representation of period doubling cascade" @default.
- W4299456260 doi "https://doi.org/10.48550/arxiv.1001.3120" @default.
- W4299456260 hasPublicationYear "2010" @default.
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