Bounds for invariance pressure

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Colonius, Fritz¹  Cossich, Joao A. N.²  Santana, Alexandre J.² 

[1] Univ Augsburg, Inst Math, Univ Str 14, D-86159 Augsburg, Germany

[2] Univ Estadual Maringa, Dept Math, Av Colombo 5790, BR-87020900 Maringa, Parana, Brazil

关键词: Invariance pressure;    Invariance entropy;    Control sets;   

DOI  :  10.1016/j.jde.2019.11.091

来源: Elsevier

【 摘 要 】

This paper provides an upper bound for the invariance pressure of control sets with nonempty interior and a lower bound for sets with finite volume. In the special case of the control set of a hyperbolic linear control system on R-d this yields an explicit formula. Further applications to linear control systems on Lie groups and to inner control sets are discussed. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free