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oo, beyond which is the chaotic regime which contains non-zero measure segments with SDIC. 8284, thus indicating the presence of every integer-period cycle according to the Li- Yorke Theorem. The Li- Yorke Theorem emphasizes that three-period cycles appear in chaotic zones after period-doubling bifurcation sequences have ended. 19. L-------------------------------------~----~0 3 Figure 2. ~. 857 , - - : : . 505 "' j·:? ,..... 8496 Figure 2. 19: Three-Period Window in Transition to Chaos Inspired by Ruelle and Takens ( 1971) and work by Metropolis, Stein, and Stein ( 1973 ), the nature of these period-doubling cascades was more formally analyzed by Mitchell J.

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From Catastrophe to Chaos: A General Theory of Economic Discontinuities: Volume I: Mathematics, Microeconomics, Macroeconomics, and Finance by J. Barkley Rosser


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