Compact set valued flows .2. applications in biological modelling

被引:8
作者
Demongeot, J [1 ]
Kulesa, P [1 ]
Murray, JD [1 ]
机构
[1] UNIV GRENOBLE 1,IMAG,TIMC,F-38700 LA TRONCHE,FRANCE
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE CHIMIE ASTRONOMIE | 1997年 / 324卷 / 02期
关键词
D O I
10.1016/S1251-8069(99)80014-1
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Compact set valued iterations generalize classical point iterations by replacing the function f with a tube f expressing the uncertainty about experimental data and allowing the study of the structural stability of Poincare maps or phase response curves: logistic (Section 2) and respiratory (Section 3) examples show that bifurcation schemes are roughly respected. Finally, the problem of robustness of Poincare maps or phase response curves used in physiology or embryology is discussed in Section 4.
引用
收藏
页码:107 / 115
页数:9
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