Zhang, Mingji; Li, Ji; Bates, Peter W. Singular fold with real noise. (English) Zbl 1366.37120 Discrete Contin. Dyn. Syst., Ser. B 21, No. 7, 2091-2107 (2016). MSC: 37H10 37D10 92C20 34F05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 7, 2091--2107 (2016; Zbl 1366.37120) Full Text: DOI
Bates, Peter W.; Lu, Kening; Zeng, Chongchun Persistence of \(C^k\) normally hyperbolic invariant manifolds for infinite dimensional dynamical systems. (English) Zbl 1288.37028 Yang, Lo (ed.) et al., First international congress of Chinese mathematicians. Proceedings of the ICCM ’98, Beijing, China, December 12–16, 1998. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2652-2/pbk). AMS/IP Stud. Adv. Math. 20, 403-410 (2001). MSC: 37L45 37L10 47H25 PDFBibTeX XMLCite \textit{P. W. Bates} et al., AMS/IP Stud. Adv. Math. 20, 403--410 (2001; Zbl 1288.37028)
Bates, Peter W.; Lu, Kening; Zeng, Chongchun Existence and persistence of invariant manifolds for semiflows in Banach space. (English) Zbl 1023.37013 Mem. Am. Math. Soc. 645, 129 p. (1998). MSC: 37D10 37L50 37L10 47H20 34G20 PDFBibTeX XMLCite \textit{P. W. Bates} et al., Existence and persistence of invariant manifolds for semiflows in Banach space. Providence, RI: American Mathematical Society (AMS) (1998; Zbl 1023.37013) Full Text: DOI Link
Bates, Peter W. Invariant manifolds for perturbations of nonlinear parabolic systems with symmetry (preliminary report). (English) Zbl 0612.35070 Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math. 23, Pt. 2, 209-217 (1986). Reviewer: A.Osborne MSC: 35K55 34C30 35B32 35B20 35B40 PDFBibTeX XML
Bates, Peter W.; Jones, Christopher K. R. T. Invariant manifold theorems with applications. (English) Zbl 0604.58033 Nonlinear functional analysis and its applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1985, NATO ASI Ser., Ser. C 173, 177-186 (1986). Reviewer: J.Marschall MSC: 37C75 PDFBibTeX XML