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A New Discrete-Time Logistic Equation Having No Overshoot and No Chaos
Yoshiaki Habiro,Noriyuki Hori 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper proposes a new discretization method for logistic differential equations, for which the popular forward difference model causes chaos and overshoot unless the discrete-time period is chosen to be sufficiently small. While the exact discrete-time model gives exact values at discrete-time instants, it is not really a logistic equation anymore and requires an up-date of a complex gain at each discrete-time instant. In contrast, the proposed discrete-time model has no overshoot for any discretization period T, is more accurate than the forward difference model for large T in general, and requires no update of the gain unlike the exact model.
RNAi-mediated CCR5 Silencing by LFA-1-targeted Nanoparticles Prevents HIV Infection in BLT Mice
Kim, Sang-Soo,Peer, Dan,Kumar, Priti,Subramanya, Sandesh,Wu, Huaquan,Asthana, Deshratan,Habiro, Katsuyoshi,Yang, Yong-Guang,Manjunath, N,Shimaoka, Motomu,Shankar, Premlata Elsevier 2010 Molecular therapy Vol.18 No.2