Abstract
It is shown that anharmonic oscillators x ̈ + 2ζ x ̈ − F(x) = A cos(ωt), F(-x) = -F(x) , cannot have inversion-symmetric attractors of even periods. The computed motion related to chaos for Duffing's oscillator is consistent with this rule as well as with the universal features of noninvertible one-dimensional maps.
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