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SHORT-WAVE ASYMPTOTICS OF THE INFORMATION ENTROPY OF A CIRCULAR MEMBRANE

2002
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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The spreading of the position and momentum probability distributions for the stable free oscillations of a circular membrane of radius l is analyzed by means of the associated Boltzmann-Shannon information entropies in the correspondence principle limit (n → ∞, m fixed), where the numbers (n,m), n ∈ N and m ∈ Z, uniquely characterize an oscillation of this two-dimensional system. This is done by solving the short-wave asymptotics of the physical entropies in the two complementary spaces, which

doi:10.1142/s0218127402005935
fatcat:6vuunj3njvarrefpfy3jadpyua