Serge Aubry - Physics Department . Technion

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

Fat Cantor Set (finite Lebesgue measure) (Pseudo)continuation of an Anderson mode at nonvanishing amplitude (scheme) Nonlinear modes disappears in a small frequency gap at each resonance Nonlinear Serge Aubry, Aubry modes , LLB, avoid FRANCE resonances frequency
Numerical Calculation of Localized Time periodic Solutions Using the Nonlinear Response Manifold to a Localized Time Periodic Driving Force Calculate the time periodic solution u n(t) at frequency versus the driving force F (using Newton method) F small linear response. The response is smooth for most Serge Aubry, Aubry, LLB, FRANCE
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: II- Exact Time Periodic Solutions (
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 18 and 19: The probability to find an initial
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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