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A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
second order expansion separatrix map for trigonometric perturbations priori unstable systems
2015/9/25
In this paper we study a so-called separatrix map introduced by Zaslavskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02,Pif06, PT07]. We derive a second order expansion of this...
Decentralized Control of Unstable Systems and Quadratically Invariant Information Constraints
Unstable Systems Quadratically Invariant Information
2015/6/19
We consider the problem of constructing decentralized control systems for unstable plants. We formulate this problem as one of minimizing the closed-loop norm of a feedback system subject to constrain...
Influence of measurement on the life-time and the line-width of unstable systems
Influence life-time line-width unstable systems
2010/10/13
We investigate the quantum Zeno effect in the case of electron tunneling out of a quantum
dot in the presence of continuous monitoring by a detector. It is shown that the Schr¨odinger
equation for t...