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The objective of this paper is the linear reconstruction of a vector, up to a unimodular constant, when all phase information is lost, meaning only the magnitudes of frame coefficients are known. Reco...
Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators
Coupled Oscillators Response Curves Synchronized Systems
2011/7/6
We prove that a group of injection-locked oscillators, each
modelled using a nonlinear phase macromodel, responds as a single
oscillator to small external perturbations. More precisely, we show that...
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
A nonlocal quasilinear multi-phase system nonconstant specific heat heat conductivity
2010/11/23
In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneous third type bounda...
Fourier law, phase transitions and the stationary Stefan problem
Fourier law, phase transitions stationary Stefan problem
2010/12/10
We study the one-dimensional stationary solutions of an integro-differential equation derived by Giacomin and Lebowitz from Kawasaki dy-namics in Ising systems with Kac potentials, [5].
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/12/8
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
Lattice Structure for Paraunitary Linear-Phase Filter Babks with Accuracy
Paraunitary Linear-phase Accuracy
2007/12/12
Multivariate filter banks with a polyphase matrix built by matrix factorization (lattice structure) were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method...