Time-varying linearization and the Perron effects

被引：188

作者：

Leonov, G. A. ^{[1
]}

Kuznetsov, N. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 198504, Russia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 04期

关键词：

stability; instability; first approximation; time-varying linearization; Lyapunov exponent; characteristic exponent;

D O I：

10.1142/S0218127407017732

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present survey, the contemporary state of the art of the problem of the justification of nonstationary linearizations is presented.

引用

页码：1079 / 1107

页数：29

共 69 条

[1]

ADRIANOVA LY, 1998, INTRO LINEAR SYSTEMS

[2]

Anishchenko V.S., 2009, Nonlinear Dynamics of Chaotic and Stochastic Systems

[3]

[Anonymous], 1969, DIFFER URAVN

[4]

[Anonymous], 1964, NONLINEAR DIFFERENTI

[5]

[Anonymous], 1967, STABILITY MOTION

[6]

[Anonymous], 1992, STOCHASTIC CHAOTIC O

[7]

BACCIOTTI A, 2005, LIAPUNOV FUNTIONS ST

[8]

Barabanov E. A., 2005, DIFF URAVN, V41, P147

[9]

Bellman R., 1953, STABILITY THEORY DIF

[10]

Bellman R., 1963, DIFFERENTIAL DIFFERE