Degenerate cocycle with index-1 and Lyapunov exponents

Nguyen Huu Du; Trinh Khanh Duy; Vu Tien Viet

doi:10.1142/S0219493707002013

Degenerate cocycle with index-1 and Lyapunov exponents

Nguyen Huu Du, Trinh Khanh Duy, Vu Tien Viet

Research Alliance Center for Mathematical Sciences (RACMaS)

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

This paper deals with the solvability of initial-value problem and with Lyapunov exponents for linear implicit random difference equations, i.e. the difference equations where the leading term cannot be solved. An index-1 concept for linear implicit random difference equations is introduced and a formula of solutions is given. Paper is also concerned with a version of the multiplicative theorem of Oseledets type.

Original language	English
Pages (from-to)	229-245
Number of pages	17
Journal	Stochastics and Dynamics
Volume	7
Issue number	2
DOIs	https://doi.org/10.1142/S0219493707002013
Publication status	Published - 2007 Jun

Keywords

Index-1 tractable
Linear implicit equation Lyapunov exponent
Random dynamical systems

ASJC Scopus subject areas

Modelling and Simulation

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10.1142/S0219493707002013

Cite this

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abstract = "This paper deals with the solvability of initial-value problem and with Lyapunov exponents for linear implicit random difference equations, i.e. the difference equations where the leading term cannot be solved. An index-1 concept for linear implicit random difference equations is introduced and a formula of solutions is given. Paper is also concerned with a version of the multiplicative theorem of Oseledets type.",

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AB - This paper deals with the solvability of initial-value problem and with Lyapunov exponents for linear implicit random difference equations, i.e. the difference equations where the leading term cannot be solved. An index-1 concept for linear implicit random difference equations is introduced and a formula of solutions is given. Paper is also concerned with a version of the multiplicative theorem of Oseledets type.

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Degenerate cocycle with index-1 and Lyapunov exponents

Abstract

Keywords

ASJC Scopus subject areas

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