Topological Frequencies in Dynamical Systems
In this work the presence of a seemingly anomalous peak at a non 2n frequency in the power spectrum of the period doubling attractor at the onset of chaos is discussed. Using tools from the theory of knots we study the behaviour of the topological invariant responsible for that effect in a wide class of systems.
KeywordsPeriodic Solution Period Doubling Topological Invariant Chaotic Solution Anomalous Peak
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