Inheritance Principle in Dynamical Systems and an Application in Ecological Models

被引：0

作者：

Il'ichev, V. G. ^{[1
]}

机构：

[1] Russian Acad Sci, So Sci Ctr, Rostov Na Donu, Russia

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 09期

关键词：

Competition Model; Sign Structure; Auxiliary System; Semigroup Property; Multiplicative Semigroup;

D O I：

10.1134/S0012266111090047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To analyze arbitrary nonautonomous models, we develop a general principle of inheritance of a number of local properties by the Poincare period map: if some local property is rough and semigroup, then the global period map has the same property. In particular, for competition models, we specify key inherited properties (sign-invariant matrices etc.). This approach is used to prove the global stability of periodic modes for various nonlinear ecological models.

引用

页码：1259 / 1270

页数：12

共 50 条

[21] The Principle and Application of Ecological Modernization in China
He Chuanqi Research Group for China Modernization Strategies China Center for Modernization Research
ScienceFoundationinChina, 2007, (02) : 32 - 45
[22] Dynamical reduction models and the energy conservation principle
Bassi, Angelo
Ippoliti, Emiliano
Vacchini, Bassano
QUANTUM MECHANICS, 2006, 844 : 8 - +
[23] An application of the principle of dynamical similitude to molecular physics
Hardy, WB
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1915, 92 (635) : 82 - 100
[24] Models and algorithms of operational planning and control of dynamical objects with application of the Pontryagin's Maximum principle
Sokolov, Boris
Gnidenko, Andrey
Shalyto, Anatoly
2017 5TH IEEE WORKSHOP ON ADVANCES IN INFORMATION, ELECTRONIC AND ELECTRICAL ENGINEERING (AIEEE'2017), 2017,
[25] Local and Global Properties of Nonautonomous Dynamical Systems and Their Application to Competition Models
V. G. Il'ichev
Siberian Mathematical Journal, 2003, 44 : 490 - 499
[26] Local and global properties of nonautonomous dynamical systems and their application to competition models
Ili'chev, VG
SIBERIAN MATHEMATICAL JOURNAL, 2003, 44 (03) : 490 - 499
[27] Disturbance neutralization principle for optimized dynamical systems
E. R. Smol’yakov
Differential Equations, 2015, 51 : 808 - 818
[28] Iterated invariance principle for random dynamical systems
Dragicevic, D.
Hafouta, Y.
NONLINEARITY, 2025, 38 (03)
[29] Disturbance neutralization principle for optimized dynamical systems
Smol'yakov, E. R.
DIFFERENTIAL EQUATIONS, 2015, 51 (06) : 808 - 818
[30] Landauer's Principle and Divergenceless Dynamical Systems
Zander, Claudia
Ricardo Plastino, Angel
Plastino, Angelo
Casas, Montserrat
Curilef, Sergio
ENTROPY, 2009, 11 (04): : 586 - 597

← 1 2 3 4 5 →