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Nonlocalized modulation of periodic reaction di usion ...

Nonlocalized modulation of periodic reaction di usion ...

Nonlocalized modulation of periodic reaction di usion waves 3 acting on L2 per ([0;1]) with densely de ned domains H2 per ([0;1]), determined by the de ning relation L(ei˘xg) = ei˘x(L ˘g); (1.5) we de ne following [S1,S2] the standard di usive spectral stability condi-tions: (D1) ˙(L) ˆf j< <0g[f0g. (D2) There exists a constant >0 such ...

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Nonlocalized modulation of periodic reaction di usion ...

Nonlocalized modulation of periodic reaction di usion ...

per ([0;1]), determined by the de ning relation L(ei˘xg) = ei˘x(L ˘g) for gperiodic; (1.5) we de ne following [S1,S2] the standard di usive spectral stability condi-tions: 1 Speci cally, x 2H s ul, s 4, with k x k H s ul su ciently small, where w H ul:= sup x2R kwk Hs([x;x+1]). 2 In particular, 2-close to the expansion involving the solution of the second-order equation (1.1). 4 Mathew A. J

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NONLOCALIZED MODULATION OF PERIODIC ... - math.univ-lyon1.fr

NONLOCALIZED MODULATION OF PERIODIC ... - math.univ-lyon1.fr

nonlocalized modulation plus a localized perturbation. The main new ingredient is a detailed analysis of linear behavior under modulational data u0(x)h 0(x), where uis the background pro le and h 0 is the initial modulation. 1. Introduction Stability and behavior of modulated periodic wave trains have received considerable recent atten- tion, both in the reaction di usion and conservation law ...

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NONLOCALIZED MODULATION OF PERIODIC REACTION DIFFUSION ...

NONLOCALIZED MODULATION OF PERIODIC REACTION DIFFUSION ...

leading order of a modulation whose parameter evolution is governed by an associated Whitham averaged equation. 1. Introduction In this, the second part of a two-part series of papers, we determine the time-asymptotic behavior of spectrally stable periodic traveling-wave solutions of reaction di usion systems under small per-turbations consisting of a nonlocalized modulation plus a localized ...

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Nonlocalized Modulation of Periodic ... - mathsci.kaist.ac.kr

Nonlocalized Modulation of Periodic ... - mathsci.kaist.ac.kr

Nonlocalized Modulation of Periodic Reaction Di usion Waves: Nonlinear Stability (Mathew A. Johnson, Pascal Noble, L. Miguel Rodrigues, Kevin Zumbrun) Soyeun Jung Division of International Studies Kongju National University 2017 Participating School at KAIST August, 2017 1 / 33. Periodic traveling reaction-di usion waves Consider a periodic (period one) traveling wave solution of a system of ...

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Nonlocalized modulation of periodic reaction di usion ...

Nonlocalized modulation of periodic reaction di usion ...

nonlocalized modulation plus a localized perturbation. The main new ingredient is a detailed analysis of linear behavior under modulational data ¯u′(x)h 0(x), where ¯uis the background profile and h 0 is the initial modulation. 1. Introduction Stability and behavior of modulated periodic wave trains have received considerable recent atten-tion, both in the reaction diffusion and ...

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arXiv:1605.01464v1 [math.AP] 5 May 2016

arXiv:1605.01464v1 [math.AP] 5 May 2016

nonlocalized modulational perturbation under a small initial perturbation consisting of a nonlocalized modulation plus a localized perturbation decaying algebraically. 1 Introduction We consider a system of reaction-diffusion equations (1.1) ut = uxx + f(u), where (x,t) ∈ R× R+,u∈ Rn and f : Rn → Rn sufficiently smooth. We assume that u(x,t) = ¯u(x−ct) is a traveling wave solution ...

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AM-FM DEMODULATION OF SPECTROGRAMS USING LOCALIZED ... - MIT

AM-FM DEMODULATION OF SPECTROGRAMS USING LOCALIZED ... - MIT

rier, and an amplitude modulation term A(f,t) which rep- resents the spectral envelope. Our method operates by per-forming a two-dimensional local patch analysis of the spec-trogram, in which each patch is factored into a local carrier term and a local amplitude envelope term using a Max-Gabor analysis. We demonstrate the technique over a wide variety of speakers, and show how the ...

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OTFS: A New Generation of Modulation ... - arxiv.org

OTFS: A New Generation of Modulation ... - arxiv.org

OTFS is a modulation scheme that carries information QAM symbols over a new class of waveforms which are spread over both time and frequency while remaining roughly orthogonal to each other under general delay-Doppler channel impairments. The key characteristic of the OTFS waveforms is related to their optimal manner of interaction with the wireless reflectors. This interaction induces a ...

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Atrial Rotor Modulation by Localized Dofetilide ...

Atrial Rotor Modulation by Localized Dofetilide ...

modulation via localized release of dofetilide. In a previous work, mathematical models of the dofetilide effect on human APD, I Kr and I KACh currents were assessed [5]. The proposed procedure seeks to improve the effectiveness of CAF therapy, by minimizing the side effects and by providing personalized patient care. 2. Methodology 2.1. Electrophysiological model of human atrial ...

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On OTFS Modulation for High-Doppler Fading Channels

On OTFS Modulation for High-Doppler Fading Channels

On OTFS Modulation for High-Doppler Fading Channels K. R. Murali and A. Chockalingam Department of ECE, Indian Institute of Science, Bangalore 560012, India Abstract—Orthogonal time frequency space (OTFS) modula- tion is a 2-dimensional (2D) modulation scheme designed in the delay-Doppler domain, unlike traditional modulation schemes which are designed in the time-frequency domain. Through a ...

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