Erratum to: Local stable manifold theorem for fractional systems
نویسندگان
چکیده
منابع مشابه
The stable manifold theorem for non-linear stochastic systems with memory II. The local stable manifold theorem
We state and prove a Local Stable Manifold Theorem (Theorem 4.1) for non-linear stochastic differential systems with finite memory (viz. stochastic functional differential equations (sfde’s)). We introduce the notion of hyperbolicity for stationary trajectories of sfde’s. We then establish the existence of smooth stable and unstable manifolds in a neighborhood of a hyperbolic stationary traject...
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We formulate and prove a local stable manifold theorem for stochastic differential equations (SDEs) that are driven by spatial Kunita-type semimartingales with stationary ergodic increments. Both Stratonovich and Itôtype equations are treated. Starting with the existence of a stochastic flow for a SDE, we introduce the notion of a hyperbolic stationary trajectory. We prove the existence of inva...
متن کاملLocal stable manifold of Langevin differential equations with two fractional derivatives
*Correspondence: [email protected]; [email protected]; [email protected] 1Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, P.R. China 2School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland Abstract In this paper, we investigate the existence of local center stable manifolds of Langevin differential equations wi...
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2017
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-017-3352-1