Period Doubling Bifurcation Route to Chaos
A theory recently formulated by Feigenbaum1,2 predicts that the transition to chaotic behaviour via a sequence of period doubling bifurcations has a universal character. Although at this stage the extent at which the theory is applicable is not entirely clear, it is generally believed that it should hold for a large class of nonlinear systems, provided that phase trajectories remain confined in a phase region of adequately low dimension.
KeywordsOscillatory Motion Period Doubling Bifurcation Beam Deflection Horizontal Temperature Gradient Fast Fourier Transform Analyzer
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