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Title: Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations
Authors: Mierczynski, Janusz
Novo, Sylvia
Obaya, Rafael
Issue Date: 2018
Publisher: American Institute of Mathematical Sciences
Description: Producción Científica
Citation: Discrete and Continuous Dynamical Systems, 2018, vol. 38, n. 12, p. 6163-6193
Abstract: This paper deals with the study of principal Lyapunov exponents, principal Floquet subspaces, and exponential separation for positive random linear dynamical systems in ordered Banach spaces. The main contribution lies in the introduction of a new type of exponential separation, called of type II, important for its application to random differential equations with delay. Under weakened assumptions, the existence of an exponential separation of type II in an abstract general setting is shown, and an illustration of its application to dynamical systems generated by scalar linear random delay differential equations with finite delay is given.
Classification: Random dynamical systems
focusing property
generalized exponential separation
ISSN: 1078-0947
Peer Review: SI
Sponsor: Ministerio de Economía, Industria y Competitividad - FEDER (Project MTM2015-66330-P)
Programme: info:eu-repo/grantAgreement/EC/H2020/643073
Publisher Version:
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:Documentos OpenAire(Open Access Infrastructure for Research in Europe)
DEP51 - Artículos de revista

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