TY - JOUR
T1 - A combinatorial framework for analysis of global dynamics and bifurcations
AU - Kokubu, Hiroshi
AU - Mischaikow, Konstantin
N1 - Funding Information:
This article is a survey that represents several joint works ([1], [5], [6] and those in progress) of the authors with Z. Arai, S. Harker, W. Kalies, M. Mrozek, V. Nanda, I. Obayashi, H. Oka, P. Pilarczyk, and R. Vandervorst. The work of HK is partially supported by JST-CREST and Grant-in-Aid for Scientific Research (No. 21340035), Ministry of Education, Science, Technology, Culture and Sports, Japan. The work of KM is partially supported by NSFDMS-0915019, 0835621, 1125174, AFOSR and DARPA.
PY - 2012
Y1 - 2012
N2 - A combinatorial framework for analyzing global dynamics and bifurcations is presented. This idea has been implemented as a computer software and tested for several examples of two and three-dimensional maps, such as an agedependent population model called the nonlinear Leslie model, a coupled system of logistic maps called the coupled map lattice, etc.
AB - A combinatorial framework for analyzing global dynamics and bifurcations is presented. This idea has been implemented as a computer software and tested for several examples of two and three-dimensional maps, such as an agedependent population model called the nonlinear Leslie model, a coupled system of logistic maps called the coupled map lattice, etc.
KW - Conley index
KW - Isolating neighborhood
KW - Morse decomposition
UR - http://www.scopus.com/inward/record.url?scp=84867482798&partnerID=8YFLogxK
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U2 - 10.1016/j.piutam.2012.06.026
DO - 10.1016/j.piutam.2012.06.026
M3 - Conference article
AN - SCOPUS:84867482798
SN - 2210-9838
VL - 5
SP - 195
EP - 198
JO - Procedia IUTAM
JF - Procedia IUTAM
T2 - IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical
Y2 - 28 November 2011 through 2 December 2011
ER -