Serge Aubry - Physics Department . Technion

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$Turbulence-degraded wave fronts as fractal surfaces - Physics ...$

The probability to find an initial wave packet which evolves almost periodically, is large and goes to one as the norm of the wave packet goes to zero What about the wavepacket which are initially resonant? Serge Aubry, Aubry, LLB, FRANCE
quadratic IV Rigorous Results for DNLS Hamiltonians proving the absence of complete diffusion of a large enough Wavepacket with invariance by phase rotation (implies norm l 2 conservation) Serge Aubry, Aubry, LLB, FRANCE Nonlinear higher order H NL > 0 strictly positive (or negative)
Page 1 and 2: Suppression of Energy Diffusion in
Page 3 and 4: I-Nonlinear spatially periodic syst
Page 5 and 6: Initial wavepacket Time periodic so
Page 7 and 8: II- Exact Time Periodic Solutions (
Page 9 and 10: Numerical Calculation of Localized
Page 11 and 12: RDNLS: a straightforward proof of e
Page 13 and 14: Anderson Representation of DNLS nor
Page 15: Quasiperiodic Periodic Solutions: B
Page 20 and 21: Assume the wavepacket spreads unifo
Page 22 and 23: Example: What is the behavior of a
Page 24 and 25: V Diffusion of a Wavepacket in nonl
Page 26 and 27: There are initial conditions with n
Page 28 and 29: VI-New Numerical Investigations G.
Page 30 and 31: Serge Aubry, Aubry, LLB, FRANCE t=1
Page 32 and 33: Participation number of norm distri
Page 34 and 35: Serge Aubry, Aubry, LLB, FRANCE Tim
Page 36 and 37: Scenario for the Absence of spreadi
Page 38 and 39: Warning about the problem of reliab
Page 40 and 41: VII Summary and concluding remarks

Serge Aubry - Physics Department . Technion

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