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The IEEE PHM 2017 sponsored by the IEEE Reliability Society is seeking original papers for presentation at the 8th Annual Conference on Prognostics and Health Management (PHM) held at Marriott Courtya...
Rank penalized estimation of a quantum system
Rank penalized estimation quantum system Statistics Theory
2012/6/29
We introduce a new method to reconstruct the quantum matrix $\bar{\rho}$ of a system of $n$-qubits and estimate its rank $d$ from data obtained by quantum state tomography measurements repeated $m$ ti...
2D Locus Configurations and the Charged Trigonometric Calogero-Moser System
2D Locus Configurations Charged Trigonometric Calogero-Moser System
2011/2/25
A central hyperplane arrangement in C2 with multiplicity is called a ‘locus configuration’ if it satisfies a series of ‘locus equations’ on each hyperplane.Following [CFV99].
The Toda chains take a particular place in the theory of integrable systems,in contrast with the linear group structure for the Gaudin model this system is related to the corresponding Borel group and...
On the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system
Mathematical Physics (math-ph) Chaotic Dynamics (nlin.CD)
2010/11/10
We investigate the long time stability of the Sun--Jupiter--Saturn--Uranus system by considering the planar, secular model. Our method may be considered as an extension of Lagrange's theory for the se...
Mixed-Mode Oscillations in a Stochastic, Piecewise-Linear System
Dynamical Systems (math.DS) Chaotic Dynamics (nlin.CD)
2010/11/10
We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist. The addition of small noise induces mixed-m...
Singularity analysis and integrability of a Burgers-type system by Foursov
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph) Analysis of PDEs (math.AP)
2010/11/10
We apply the Painleve test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infi...
Information-Theoretic Analysis of an Energy Harvesting Communication System
Information-Theoretic Analysis Energy Harvesting Communication System
2010/12/14
In energy harvesting communication systems, an exogenous recharge process supplies energy for the data transmission and arriving energy can be buffered in a battery before consumption.
Input Design for System Identification via Convex Relaxation
Input Design System Identification Convex Relaxation
2010/12/14
This paper proposes a new framework for the optimization of excitation inputs for system identification. The optimization problem considered is to maximize a reduced Fisher information matrix in any o...
Thermostatistics in the neighborhood of the $\pi$-mode solution for the Fermi-Pasta-Ulam $\beta$ system: from weak to strong chaos
Thermostatistics Fermi-Pasta-Ulam $\beta$ system $\pi$-mode solution
2010/4/6
We consider a $\pi$-mode solution of the Fermi-Pasta-Ulam $\beta$ system. By perturbing it, we study the system as a function of the energy density from a regime where the solution is stable to a regi...