Discrete and Continuous Dynamical Systems - Series S 8(5) 889-899 2015年1月 [査読有り]
In this paper, conserved quantities of the discrete hungry Lotka- Volterra (dhLV) system are derived. Our approach is based on the Lax representation of the dhLV system, which expresses the time evolution of the dhLV system as a similarity transfo...
The electromagnetic compatibility of implantable or wearable medical devices has often been evaluated using human phantoms to electrically mimic biological tissues. However, no currently existing test fixture can measure the electrical characteris...
The discrete hungry Toda (dhToda) equation is known as an integrable system which is derived from the study of the numbered box and ball system. In the authors' paper (Fukuda et al., in Phys Lett A 375, 303-308, 2010), we associate the dhToda equa...
ANNALI DI MATEMATICA PURA ED APPLICATA 192(3) 423-445 2012年 [査読有り]
Recently, some of the authors designed an algorithm, named the dhLV algorithm, for computing complex eigenvalues of a certain class of band matrix. The recursion formula of the dhLV algorithm is based on the discrete hungry Lotka-Volterra (dhLV) s...
You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura
APPLICABLE ANALYSIS 92(3) 586-594 2012年 [査読有り]
The integrable discrete hungry Lotka-Volterra (dhLV) system is easily transformed to the qd-type dhLV system, which resembles the recursion formula of the qd algorithm for computing matrix eigenvalues. Some of the qd-type dhLV variables play a rol...
A note on eigenvalue computation for a tridiagonal matrix with real eigenvalues
Akiko Fukuda
Journal of Math-for-Industry 3 47-52 2011年4月 [査読有り]
The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhL...
CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 Vol. III, editted by T. E. Simos, G. Psihoyios, and Ch. Tsitouras 1281 2045-2048 2010年9月 [査読有り]
In the study of dynamical systems, it is often useful to find a variable transformation that maps the solution of one system to another system. Such transformation, known as the Bäcklund transformation, enables us to translate the knowledge on one...
The discrete hungry Lotka-Volterra (dhLV) system is a generalization of the discrete Lotka-Volterra (dLV) system which stands for a prey-predator model in mathematical biology. In this paper, we show that (1) some invariants exist which are expres...
Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory
日本AEM学会誌 = Journal of the Japan Society of Applied Electromagnetics 21(2) 146-151 2013年6月
Phantoms that mimic the electrical properties of the human body are widely used for the safety assessment of medical equipment, etc.Although a high hydrous gel phantom is useful in the high-frequency band, there is no phantom that can mimic the li...
T. Yamamoto, K. Sano, K. Koshiji, X. Chen, S. Yang, M. Abe, A. Fukuda
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS 2013年10月31日
This paper describes the development of a human electrical phantom at a low-frequency band. The conventional highly hydrous electromagnetic phantom does not mimic the electrical properties of a living body. The electrical properties of the newly d...
Conserved quantities of the integrable discrete hungry Lotka-Volterra system
福田 亜希子
Czech-Japanese Seminar in Applied Mathematics 2013 (CJS2013) 2013年9月5日
Development of electromagnetic phantom at low-frequency band
*Takahiko YAMAMOTO, Koki SANO, Kohji KOSHIJI, Xiuqin CHEN, Shaoming YANG, Masahiko ABE and Akiko Fukuda
The 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC'13) 2013年7月3日
An extension of the dqds algorithm for totally nonnegative matrices and the Newton shift
日本AEM学会誌 = Journal of the Japan Society of Applied Electromagnetics 2013年6月10日
Phantoms that mimic the electrical properties of the human body are widely used for the safety assessment of medical equipment, etc.Although a high hydrous gel phantom is useful in the high-frequency band, there is no phantom that can mimic the li...
A generalization of the dqds algorithm for totally nonnegative matrices
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