Ni, Angxiu; Wang, Qiqi; Fernández, Pablo; Talnikar, Chaitanya Sensitivity analysis on chaotic dynamical systems by finite difference non-intrusive least squares shadowing (FD-NILSS). (English) Zbl 1452.65398 J. Comput. Phys. 394, 615-631 (2019). MSC: 65P20 65L12 37C50 76F20 PDF BibTeX XML Cite \textit{A. Ni} et al., J. Comput. Phys. 394, 615--631 (2019; Zbl 1452.65398) Full Text: DOI
Delshams, Amadeu; Gidea, Marian; Roldan, Pablo Arnold’s mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument. (English) Zbl 1415.70019 Physica D 334, 29-48 (2016). MSC: 70F07 37J40 37C50 37M05 65P10 PDF BibTeX XML Cite \textit{A. Delshams} et al., Physica D 334, 29--48 (2016; Zbl 1415.70019) Full Text: DOI
Bohnet, Doris; Bonatti, Christian Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics. (English) Zbl 1362.37075 Ergodic Theory Dyn. Syst. 36, No. 4, 1067-1105 (2016). Reviewer: Yujun Zhu (Shijiazhuang) MSC: 37D30 37C15 PDF BibTeX XML Cite \textit{D. Bohnet} and \textit{C. Bonatti}, Ergodic Theory Dyn. Syst. 36, No. 4, 1067--1105 (2016; Zbl 1362.37075) Full Text: DOI
Spoto, Federica; Milani, Andrea Shadowing Lemma and chaotic orbit determination. (English) Zbl 1336.37063 Celest. Mech. Dyn. Astron. 124, No. 3, 295-309 (2016). MSC: 37N05 70F15 37D45 PDF BibTeX XML Cite \textit{F. Spoto} and \textit{A. Milani}, Celest. Mech. Dyn. Astron. 124, No. 3, 295--309 (2016; Zbl 1336.37063) Full Text: DOI arXiv
Da Silva, Adriano; Kawan, Christoph Invariance entropy of hyperbolic control sets. (English) Zbl 1317.93133 Discrete Contin. Dyn. Syst. 36, No. 1, 97-136 (2016). MSC: 93C15 37D20 93B05 37C60 PDF BibTeX XML Cite \textit{A. Da Silva} and \textit{C. Kawan}, Discrete Contin. Dyn. Syst. 36, No. 1, 97--136 (2016; Zbl 1317.93133) Full Text: DOI arXiv
Yang, Yun Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures. (English) Zbl 1345.37004 Discrete Contin. Dyn. Syst. 35, No. 10, 5133-5152 (2015). Reviewer: Pengfei Zhang (Oxford, MS) MSC: 37A35 37B40 37D25 37C40 37C50 PDF BibTeX XML Cite \textit{Y. Yang}, Discrete Contin. Dyn. Syst. 35, No. 10, 5133--5152 (2015; Zbl 1345.37004) Full Text: DOI arXiv
Hu, Huyi; Zhou, Yunhua; Zhu, Yujun Quasi-shadowing for partially hyperbolic diffeomorphisms. (English) Zbl 1317.37030 Ergodic Theory Dyn. Syst. 35, No. 2, 412-430 (2015). Reviewer: Marcin Kulczycki (Kraków) MSC: 37C50 37D30 PDF BibTeX XML Cite \textit{H. Hu} et al., Ergodic Theory Dyn. Syst. 35, No. 2, 412--430 (2015; Zbl 1317.37030) Full Text: DOI arXiv
Crovisier, Sylvain Dynamics of \(C^1\)-diffeomorphisms: global description and prospects for classification. (English) Zbl 1373.37064 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 571-595 (2014). MSC: 37C20 37C50 37D25 37D30 37C29 37D05 37G25 PDF BibTeX XML Cite \textit{S. Crovisier}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 571--595 (2014; Zbl 1373.37064) Full Text: arXiv
Izydorek, Marek; Janczewska, Joanna Two families of infinitely many homoclinics for singular strong force Hamiltonian systems. (English) Zbl 1321.34058 J. Fixed Point Theory Appl. 16, No. 1-2, 301-311 (2014). MSC: 34C37 70H05 37J45 37E45 PDF BibTeX XML Cite \textit{M. Izydorek} and \textit{J. Janczewska}, J. Fixed Point Theory Appl. 16, No. 1--2, 301--311 (2014; Zbl 1321.34058) Full Text: DOI
Liang, Chao; Sun, Wenxiang; Tian, Xueting Ergodic properties of invariant measures for \(C^{1+\alpha}\) non-uniformly hyperbolic systems. (English) Zbl 1278.37037 Ergodic Theory Dyn. Syst. 33, No. 2, 560-584 (2013). Reviewer: Pengfei Zhang (Amherst) MSC: 37D25 37C50 37C40 PDF BibTeX XML Cite \textit{C. Liang} et al., Ergodic Theory Dyn. Syst. 33, No. 2, 560--584 (2013; Zbl 1278.37037) Full Text: DOI arXiv
Rus, Ioan A. An abstract point of view on iterative approximation of fixed points: impact on the theory of fixed point equations. (English) Zbl 1327.47066 Fixed Point Theory 13, No. 1, 179-192 (2012). MSC: 47J25 47H10 65J15 54H25 37N30 39A30 39B12 PDF BibTeX XML Cite \textit{I. A. Rus}, Fixed Point Theory 13, No. 1, 179--192 (2012; Zbl 1327.47066) Full Text: Link
Anosov, D. V.; Zhuzhoma, E. V. Closing lemmas. (English) Zbl 1315.37020 Differ. Equ. 48, No. 13, 1653-1699 (2012). Reviewer: Marcin Kulczycki (Kraków) MSC: 37C50 37-02 37B20 PDF BibTeX XML Cite \textit{D. V. Anosov} and \textit{E. V. Zhuzhoma}, Differ. Equ. 48, No. 13, 1653--1699 (2012; Zbl 1315.37020) Full Text: DOI
Izydorek, Marek; Janczewska, Joanna The shadowing chain lemma for singular Hamiltonian systems involving strong forces. (English) Zbl 1269.37015 Cent. Eur. J. Math. 10, No. 6, 1928-1939 (2012). MSC: 37C29 37C50 34C37 70H05 PDF BibTeX XML Cite \textit{M. Izydorek} and \textit{J. Janczewska}, Cent. Eur. J. Math. 10, No. 6, 1928--1939 (2012; Zbl 1269.37015) Full Text: DOI
Zhang, Pengfei Diffeomorphisms with global dominated splittings cannot be minimal. (English) Zbl 1257.37025 Proc. Am. Math. Soc. 140, No. 2, 589-593 (2012). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D30 37B05 37C50 PDF BibTeX XML Cite \textit{P. Zhang}, Proc. Am. Math. Soc. 140, No. 2, 589--593 (2012; Zbl 1257.37025) Full Text: DOI
Argyros, Ioannis K. Extending the application of the shadowing lemma for operators with chaotic behaviour. (English) Zbl 1303.37010 East Asian Math. J. 27, No. 5, 521-525 (2011). MSC: 37C50 37D45 PDF BibTeX XML Cite \textit{I. K. Argyros}, East Asian Math. J. 27, No. 5, 521--525 (2011; Zbl 1303.37010)
Dai, Xiongping Exponential closing property and approximation of Lyapunov exponents of linear cocycles. (English) Zbl 1237.37056 Forum Math. 23, No. 2, 321-347 (2011). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37M25 37C50 37D25 37H05 PDF BibTeX XML Cite \textit{X. Dai}, Forum Math. 23, No. 2, 321--347 (2011; Zbl 1237.37056) Full Text: DOI
Fontich, Ernest; de la Llave, Rafael; Martín, Pau Dynamical systems on lattices with decaying interaction. II: Hyperbolic sets and their invariant manifolds. (English) Zbl 1213.37115 J. Differ. Equations 250, No. 6, 2887-2926 (2011). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L60 37D05 37D20 PDF BibTeX XML Cite \textit{E. Fontich} et al., J. Differ. Equations 250, No. 6, 2887--2926 (2011; Zbl 1213.37115) Full Text: DOI
Dai, Xiongping A note on the shadowing lemma of Liao: a generalized and improved version. (English) Zbl 1225.37030 Tohoku Math. J. (2) 62, No. 4, 509-526 (2010). Reviewer: Peter Zabreiko (Minsk) MSC: 37C50 37D30 PDF BibTeX XML Cite \textit{X. Dai}, Tohoku Math. J. (2) 62, No. 4, 509--526 (2010; Zbl 1225.37030) Full Text: DOI
Macrì, Marta; Nolasco, Margherita Stationary solutions for the non-linear Hartree equation with a slowly varying potential. (English) Zbl 1203.35264 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 6, 681-715 (2009). Reviewer: Chengbo Wang (Baltimore) MSC: 35Q55 35J10 PDF BibTeX XML Cite \textit{M. Macrì} and \textit{M. Nolasco}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 6, 681--715 (2009; Zbl 1203.35264) Full Text: DOI
Bonatti, Christian; Gan, Shaobo; Yang, Dawei On the hyperbolicity of homoclinic classes. (English) Zbl 1200.37023 Discrete Contin. Dyn. Syst. 25, No. 4, 1143-1162 (2009). Reviewer: Peter Giesl (Brighton) MSC: 37D20 37D30 37D25 PDF BibTeX XML Cite \textit{C. Bonatti} et al., Discrete Contin. Dyn. Syst. 25, No. 4, 1143--1162 (2009; Zbl 1200.37023) Full Text: DOI
Li, Y. Charles Tubes in dynamical systems. (English) Zbl 1148.37024 Chaos Solitons Fractals 36, No. 5, 1215-1224 (2008). MSC: 37D45 35Q53 37C10 37C29 37C50 PDF BibTeX XML Cite \textit{Y. C. Li}, Chaos Solitons Fractals 36, No. 5, 1215--1224 (2008; Zbl 1148.37024) Full Text: DOI
Zhu, Changrong; Luo, Guangping; Shu, Yonglu The existences of transverse homoclinic solutions and chaos for parabolic equations. (English) Zbl 1203.34094 J. Math. Anal. Appl. 335, No. 1, 626-641 (2007). Reviewer: Norbert Koksch (Dresden) MSC: 34G20 34C20 34C28 34D09 35K90 37C29 37D45 34C37 PDF BibTeX XML Cite \textit{C. Zhu} et al., J. Math. Anal. Appl. 335, No. 1, 626--641 (2007; Zbl 1203.34094) Full Text: DOI
Li, Y. Charles Chaos in wave interactions. (English) Zbl 1116.37048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 1, 85-98 (2007). MSC: 37L99 35Q30 37L65 76D05 37D45 76F20 PDF BibTeX XML Cite \textit{Y. C. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 1, 85--98 (2007; Zbl 1116.37048) Full Text: DOI
Crovisier, Sylvain Perturbation of \(C^1\)-diffeomorphisms and generic conservative dynamics on surfaces. (English. French summary) Zbl 1161.37023 Dynamique des difféomorphismes conservatifs des surfaces. Un point de vue topologique. Paris: Société Mathématique de France (ISBN 978-2-85629-220-4/pbk). Panoramas et Synthèses 21, 1-33 (2006). Reviewer: Ľubomír Snoha (Banská Bystrica) MSC: 37C05 37B20 37C20 37C29 37C50 37E30 PDF BibTeX XML Cite \textit{S. Crovisier}, Panor. Synth. 21, 1--33 (2006; Zbl 1161.37023)
Argyros, Ioannis K. A weaker version of the shadowing lemma for operators with chaotic behaviour. (English) Zbl 1111.37015 Int. J. Pure Appl. Math. 28, No. 3, 417-422 (2006). MSC: 37C50 49M15 65J15 47J25 37D45 PDF BibTeX XML Cite \textit{I. K. Argyros}, Int. J. Pure Appl. Math. 28, No. 3, 417--422 (2006; Zbl 1111.37015)
Macrì, Marta; Nolasco, Margherita; Ricciardi, Tonia Asymptotics for selfdual vortices on the torus and on the plane: a gluing technique. (English) Zbl 1141.58305 SIAM J. Math. Anal. 37, No. 1, 1-16 (2005). MSC: 58E50 35J60 81T13 PDF BibTeX XML Cite \textit{M. Macrì} et al., SIAM J. Math. Anal. 37, No. 1, 1--16 (2005; Zbl 1141.58305) Full Text: DOI
Collis, Jon; Van Vleck, Erik S. Efficient numerical shadowing global error estimation for high dimensional dissipative systems. (English) Zbl 1054.65086 Adv. Nonlinear Stud. 4, No. 2, 165-188 (2004). Reviewer: Guido Vanden Berghe (Gent) MSC: 65L70 65L05 34A34 PDF BibTeX XML Cite \textit{J. Collis} and \textit{E. S. Van Vleck}, Adv. Nonlinear Stud. 4, No. 2, 165--188 (2004; Zbl 1054.65086) Full Text: DOI
Li, Yanguang Chaos and shadowing around a homoclinic tube. (English) Zbl 1064.37059 Abstr. Appl. Anal. 2003, No. 16, 923-931 (2003). MSC: 37L05 37C50 37D45 37B10 PDF BibTeX XML Cite \textit{Y. Li}, Abstr. Appl. Anal. 2003, No. 16, 923--931 (2003; Zbl 1064.37059) Full Text: DOI EuDML
Urbański, Mariusz Optimal periodic orbits for non-recurrent rational functions. (English) Zbl 1056.37062 Bull. Pol. Acad. Sci., Math. 51, No. 2, 175-184 (2003). Reviewer: Chung-Chun Yang (Kowloon) MSC: 37F10 37D20 37C27 37C50 37A35 PDF BibTeX XML Cite \textit{M. Urbański}, Bull. Pol. Acad. Sci., Math. 51, No. 2, 175--184 (2003; Zbl 1056.37062)
Li, Y. Charles Chaos in partial differential equations. (English) Zbl 1043.35001 Graduate Series in Analysis 2. Somerville, MA: International Press (ISBN 1-57146-151-5/pbk). xii, 119 p. (2003). Reviewer: Michal Fečkan (Bratislava) MSC: 35-02 37-02 35Q51 37K35 35Q53 35Q55 35A30 37C50 37K40 37K55 37D45 37L10 PDF BibTeX XML Cite \textit{Y. C. Li}, Chaos in partial differential equations. Somerville, MA: International Press (2003; Zbl 1043.35001)
Li, Yanguang (Charles) Chaos and shadowing lemma for autonomous systems of infinite dimensions. (English) Zbl 1036.37029 J. Dyn. Differ. Equations 15, No. 4, 699-730 (2003). MSC: 37L99 37B10 37D45 37C50 35Q53 35Q55 PDF BibTeX XML Cite \textit{Y. Li}, J. Dyn. Differ. Equations 15, No. 4, 699--730 (2003; Zbl 1036.37029) Full Text: DOI
Hirayama, Michihiro Periodic probability measures are dense in the set of invariant measures. (English) Zbl 1029.37015 Discrete Contin. Dyn. Syst. 9, No. 5, 1185-1192 (2003). MSC: 37C40 37C50 37D25 PDF BibTeX XML Cite \textit{M. Hirayama}, Discrete Contin. Dyn. Syst. 9, No. 5, 1185--1192 (2003; Zbl 1029.37015) Full Text: DOI
Farkas, Gyula Discretizing hyperbolic periodic orbits of delay differential equations. (English) Zbl 1028.34063 ZAMM, Z. Angew. Math. Mech. 83, No. 1, 38-49 (2003). Reviewer: Werner M.Seiler (Heidelberg) MSC: 34K13 65L99 PDF BibTeX XML Cite \textit{G. Farkas}, ZAMM, Z. Angew. Math. Mech. 83, No. 1, 38--49 (2003; Zbl 1028.34063) Full Text: DOI
Berti, Massimiliano; Bolle, Philippe Fast Arnold diffusion in systems with three time scales. (English) Zbl 1023.37033 Discrete Contin. Dyn. Syst. 8, No. 3, 795-811 (2002). Reviewer: Michal Fečkan (Bratislava) MSC: 37J40 37J45 37C50 PDF BibTeX XML Cite \textit{M. Berti} and \textit{P. Bolle}, Discrete Contin. Dyn. Syst. 8, No. 3, 795--811 (2002; Zbl 1023.37033) Full Text: DOI arXiv
Colonius, F.; Du, Weihua Hyperbolic control sets and chain control sets. (English) Zbl 1016.93009 J. Dyn. Control Syst. 7, No. 1, 49-59 (2001). Reviewer: Victor Sharapov (Volgograd) MSC: 93B03 37N35 37D05 37C50 93B05 PDF BibTeX XML Cite \textit{F. Colonius} and \textit{W. Du}, J. Dyn. Control Syst. 7, No. 1, 49--59 (2001; Zbl 1016.93009) Full Text: DOI
Van Vleck, Erik S. Numerical shadowing using componentwise bounds and a sharper fixed point result. (English) Zbl 0976.65112 SIAM J. Sci. Comput. 22, No. 3, 787-801 (2000). Reviewer: Kevin Burrage (Brisbane) MSC: 65P10 37M25 PDF BibTeX XML Cite \textit{E. S. Van Vleck}, SIAM J. Sci. Comput. 22, No. 3, 787--801 (2000; Zbl 0976.65112) Full Text: DOI
Kloeden, P.; Ombach, J.; Pokrovskii, A. Continuous and inverse shadowing. (English) Zbl 1161.37310 Funct. Differ. Equ. 6, No. 1-2, 137-153 (1999). MSC: 37C50 37D05 PDF BibTeX XML Cite \textit{P. Kloeden} et al., Funct. Differ. Equ. 6, No. 1--2, 137--153 (1999; Zbl 1161.37310)
Cieliebak, Kai; Séré, Eric Pseudoholomorphic curves and the shadowing lemma. (English) Zbl 0955.37039 Duke Math. J. 99, No. 1, 41-73 (1999). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37J45 37C50 32Q65 58E05 37C29 34C37 37D05 37D45 PDF BibTeX XML Cite \textit{K. Cieliebak} and \textit{E. Séré}, Duke Math. J. 99, No. 1, 41--73 (1999; Zbl 0955.37039) Full Text: DOI
Ghosh, S.; Leonard, A.; Wiggins, S. Diffusion of a passive scalar from a no-slip boundary into a two-dimensional chaotic advection field. (English) Zbl 0934.76088 J. Fluid Mech. 372, 119-163 (1998). Reviewer: Iuliana Oprea (Tempe) MSC: 76R50 37N10 PDF BibTeX XML Cite \textit{S. Ghosh} et al., J. Fluid Mech. 372, 119--163 (1998; Zbl 0934.76088) Full Text: DOI
Pokrovskiĭ, A. V. Topological shadowing and split-hyperbolicity. (English) Zbl 1036.37503 Funct. Differ. Equ. 4, No. 3-4, 335-360 (1997). MSC: 37C50 PDF BibTeX XML Cite \textit{A. V. Pokrovskiĭ}, Funct. Differ. Equ. 4, No. 3--4, 335--360 (1997; Zbl 1036.37503)
Reinfelds, Andrejs The shadowing lemma in a metric space. (English) Zbl 1024.37015 Zesz. Nauk. Uniw. Jagiell. 1209, Univ. Iagell. Acta Math. 35, 205-210 (1997). Reviewer: Messoud Efendiev (Berlin) MSC: 37C50 54H20 37B10 PDF BibTeX XML Cite \textit{A. Reinfelds}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1209(35), 205--210 (1997; Zbl 1024.37015)
Colonius, Fritz; Kliemann, Wolfgang The Morse spectrum of linear flows on vector bundles. (English) Zbl 0864.58051 Trans. Am. Math. Soc. 348, No. 11, 4355-4388 (1996). MSC: 37C10 34D08 PDF BibTeX XML Cite \textit{F. Colonius} and \textit{W. Kliemann}, Trans. Am. Math. Soc. 348, No. 11, 4355--4388 (1996; Zbl 0864.58051) Full Text: DOI
Hadeler, K. P. Shadowing orbits and Kantorovich’s theorem. (English) Zbl 0862.58017 Numer. Math. 73, No. 1, 65-73 (1996). Reviewer: J.Ombach (Kraków) MSC: 37E99 65J15 PDF BibTeX XML Cite \textit{K. P. Hadeler}, Numer. Math. 73, No. 1, 65--73 (1996; Zbl 0862.58017) Full Text: DOI
Palmer, Kenneth J. Shadowing and Shil’nikov chaos. (English) Zbl 0858.58034 Nonlinear Anal., Theory Methods Appl. 27, No. 9, 1075-1093 (1996). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37D45 37D99 37E99 PDF BibTeX XML Cite \textit{K. J. Palmer}, Nonlinear Anal., Theory Methods Appl. 27, No. 9, 1075--1093 (1996; Zbl 0858.58034) Full Text: DOI
Fenichel, Neil Hyperbolicity and exponential dichotomy for dynamical systems. (English) Zbl 0859.58020 Jones, C. K. R. T. (ed.) et al., Dynamics reported. Expositions in dynamical systems. New series. Vol. 5. Berlin: Springer-Verlag. 1-25 (1996). Reviewer: J.Ombach (Kraków) MSC: 37D99 PDF BibTeX XML Cite \textit{N. Fenichel}, in: Dynamics reported. Expositions in dynamical systems. New series. Vol. 5. Berlin: Springer-Verlag. 1--25 (1996; Zbl 0859.58020)
Aulbach, Bernd; Kalkbrenner, Jürgen Chaotic dynamics from the difference equations point of view. (English) Zbl 0863.58049 Elaydi, Saber N. (ed.) et al., Proceedings of the first international conference on difference equations, Trinity University, San Antonio, TX, USA, May 25-28, 1994. London: Gordon and Breach. 41-55 (1995). MSC: 37D45 39A10 PDF BibTeX XML Cite \textit{B. Aulbach} and \textit{J. Kalkbrenner}, in: Proceedings of the first international conference on difference equations, Trinity University, San Antonio, TX, USA, May 25-28, 1994. London: Gordon and Breach. 41--55 (1995; Zbl 0863.58049)
Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A. Semihyperbolic mappings. (English) Zbl 0855.58044 J. Nonlinear Sci. 5, No. 5, 419-431 (1995). Reviewer: O.-P.Piirilä (Helsinki) MSC: 37D99 54C70 PDF BibTeX XML Cite \textit{P. Diamond} et al., J. Nonlinear Sci. 5, No. 5, 419--431 (1995; Zbl 0855.58044) Full Text: DOI
Lee, Jon Chaos and direct numerical simulation in turbulence. (English) Zbl 0844.76077 Theor. Comput. Fluid Dyn. 7, No. 5, 363-395 (1995). MSC: 76M99 76F99 37D45 PDF BibTeX XML Cite \textit{J. Lee}, Theor. Comput. Fluid Dyn. 7, No. 5, 363--395 (1995; Zbl 0844.76077) Full Text: DOI
Gundlach, Volker Matthias Random homoclinic orbits. (English) Zbl 0847.58047 Random Comput. Dyn. 3, No. 1-2, 1-33 (1995). Reviewer: M.Hurley (Cleveland) MSC: 37A99 37D99 54H20 60J10 PDF BibTeX XML Cite \textit{V. M. Gundlach}, Random Comput. Dyn. 3, No. 1--2, 1--33 (1995; Zbl 0847.58047)
Yoccoz, Jean-Christophe Introduction to hyperbolic dynamics. (English) Zbl 0834.54023 Branner, Bodil (ed.) et al., Real and complex dynamical systems. Proceedings of the NATO Advanced Study Institute held in Hillerød, Denmark, June 20-July 2, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 464, 265-291 (1995). Reviewer: W.Kryszewski (Torún) MSC: 54H20 37D99 37C80 PDF BibTeX XML Cite \textit{J.-C. Yoccoz}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 464, 265--291 (1995; Zbl 0834.54023)
Lani-Wayda, Bernhard Persistence of Poincaré mappings in functional differential equations (with application to structural stability of complicated behavior). (English) Zbl 0832.34082 J. Dyn. Differ. Equations 7, No. 1, 1-71 (1995). Reviewer: O.Arino (Pau) MSC: 34K20 34D30 PDF BibTeX XML Cite \textit{B. Lani-Wayda}, J. Dyn. Differ. Equations 7, No. 1, 1--71 (1995; Zbl 0832.34082) Full Text: DOI
Pilyugin, Sergej Yu. Approximate trajectories and Lyapunov exponents for dynamical systems. (English) Zbl 0809.58023 Tatra Mt. Math. Publ. 4, 175-178 (1994). Reviewer: J.Andres (Olomouc) MSC: 37C75 37J40 PDF BibTeX XML Cite \textit{S. Yu. Pilyugin}, Tatra Mt. Math. Publ. 4, 175--178 (1994; Zbl 0809.58023) Full Text: EuDML
Chow, Shui-Nee; Van Vleck, Erik S. A shadowing lemma approach to global error analysis for initial value ODEs. (English) Zbl 0818.65068 SIAM J. Sci. Comput. 15, No. 4, 959-976 (1994). Reviewer: G.Hall (Manchester) MSC: 65L06 65L05 65L70 34A34 37-XX PDF BibTeX XML Cite \textit{S.-N. Chow} and \textit{E. S. Van Vleck}, SIAM J. Sci. Comput. 15, No. 4, 959--976 (1994; Zbl 0818.65068) Full Text: DOI
Chow, Shui-Nee; Van Vleck, Erik S. A shadowing lemma for random diffeomorphisms. (English) Zbl 0791.58057 Random Comput. Dyn. 1, No. 2, 197-218 (1993). Reviewer: S.Kalpazidou MSC: 37A99 37B99 60H99 PDF BibTeX XML Cite \textit{S.-N. Chow} and \textit{E. S. Van Vleck}, Random Comput. Dyn. 1, No. 2, 197--218 (1993; Zbl 0791.58057)
Ombach, Jerzy The pseudo-orbits tracing property for linear systems of differential equations. (English) Zbl 0779.34010 Glas. Mat., III. Ser. 27, No. 1, 49-56 (1992). Reviewer: E.Barvínek (Brno) MSC: 34A30 37D99 PDF BibTeX XML Cite \textit{J. Ombach}, Glas. Mat., III. Ser. 27, No. 1, 49--56 (1992; Zbl 0779.34010)
Henrard, Marc Exponential dichotomy for uniformly almost periodic equations, shadowing lemma, and applications to chaos. (Dichotomie exponentielle pour des équations uniformément presque périodiques, shadowing lemma et application au chaos.) (French) Zbl 0766.34023 Bull. Soc. Math. Belg., Sér. B 44, No. 1, 67-81 (1992). Reviewer: Yu.N.Bibikov (St.Peterburg) MSC: 34C27 34D05 37D45 PDF BibTeX XML Cite \textit{M. Henrard}, Bull. Soc. Math. Belg., Sér. B 44, No. 1, 67--81 (1992; Zbl 0766.34023)
Žáčik, Tibor On a shadowing lemma in metric spaces. (English) Zbl 0808.54028 Math. Bohem. 117, No. 2, 137-149 (1992). MSC: 54H20 37B99 37D99 54C30 54E35 PDF BibTeX XML Cite \textit{T. Žáčik}, Math. Bohem. 117, No. 2, 137--149 (1992; Zbl 0808.54028) Full Text: EuDML
Nadzieja, Tadek Shadowing lemma for family of \(\varepsilon\)-trajectories. (English) Zbl 0763.58021 Arch. Math., Brno 27a, 65-77 (1991). Reviewer: C.Chicone (Columbia) MSC: 37D99 37C10 PDF BibTeX XML Cite \textit{T. Nadzieja}, Arch. Math., Brno 27, 65--77 (1991; Zbl 0763.58021) Full Text: EuDML
Fečkan, Michal A remark on the shadowing lemma. (English) Zbl 0754.58033 Funkc. Ekvacioj, Ser. Int. 34, No. 3, 391-402 (1991). Reviewer: H.Kriete (Bochum) MSC: 37C10 37D99 PDF BibTeX XML Cite \textit{M. Fečkan}, Funkc. Ekvacioj, Ser. Int. 34, No. 3, 391--402 (1991; Zbl 0754.58033)
Lani-Wayda, Bernhard Hyperbolic sets for \(C^ 1\)-mappings in Banach spaces. (Hyperbolische Mengen für \(C^ 1\)-Abbildungen in Banachräumen.) (German) Zbl 0764.58024 München: Univ. München, Fak. f. Math. 113 S. (1990). Reviewer: H.G.Bothe (Berlin) MSC: 37D99 PDF BibTeX XML Cite \textit{B. Lani-Wayda}, Hyperbolische Mengen für \(C^ 1\)-Abbildungen in Banachräumen. München: Univ. München, Fak. f. Math. (1990; Zbl 0764.58024)
Meyer, Kenneth R.; Sell, George R. Melnikov transforms, Bernoulli bundles, and almost periodic perturbations. (English) Zbl 0707.34041 Trans. Am. Math. Soc. 314, No. 1, 63-105 (1989). Reviewer: C.Simirad MSC: 34D30 54H20 37D45 37C55 PDF BibTeX XML Cite \textit{K. R. Meyer} and \textit{G. R. Sell}, Trans. Am. Math. Soc. 314, No. 1, 63--105 (1989; Zbl 0707.34041) Full Text: DOI
Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J. A shadowing lemma for maps in infinite dimensions. (English) Zbl 0689.34041 Differential equations, Proc. EQUADIFF Conf., Xanthi/Greece 1987, Lect. Notes Pure Appl. Math. 118, 127-135 (1989). Reviewer: E.Barvinek MSC: 34A30 54H20 37D99 PDF BibTeX XML
Lin, Xiaobiao Shadowing lemma and singularly perturbed boundary value problems. (English) Zbl 0686.34059 SIAM J. Appl. Math. 49, No. 1, 26-54 (1989). Reviewer: W.Seda MSC: 34E15 34B15 37-XX PDF BibTeX XML Cite \textit{X. Lin}, SIAM J. Appl. Math. 49, No. 1, 26--54 (1989; Zbl 0686.34059) Full Text: DOI
Stofer, Daniel Martin Some geometric and numerical methods for perturbed integrable systems. (English) Zbl 0678.58018 Zürich: Swiss Federal Institute of Technology, Thesis. vii, 161 p. (1988). Reviewer: Th.Rassias MSC: 37J35 37K10 PDF BibTeX XML
Palmer, Kenneth J. Exponential dichotomies, the shadowing lemma and transversal homoclinic points. (English) Zbl 0676.58025 Dyn. Rep. 1, 265-306 (1988). Reviewer: J.Andres MSC: 37J99 37C75 37C80 37J40 PDF BibTeX XML
Angenent, Sigurd The shadowing lemma for elliptic PDE. (English) Zbl 0653.35030 Dynamics of infinite dimensional systems, Proc. NATO Adv. Study. Inst., Lisbon/Port. 1986, NATO ASI Ser., Ser. F 37, 7-22 (1987). Reviewer: H.Haruki MSC: 35J65 37-XX 35A05 PDF BibTeX XML
Meyer, K. R.; Sell, George R. An analytic proof of the shadowing lemma. (English) Zbl 0643.58015 Funkc. Ekvacioj, Ser. Int. 30, 127-133 (1987). Reviewer: N.Ivanov MSC: 37D99 PDF BibTeX XML Cite \textit{K. R. Meyer} and \textit{G. R. Sell}, Funkc. Ekvacioj, Ser. Int. 30, 127--133 (1987; Zbl 0643.58015)
Ekeland, I. Some lemmas about dynamical systems. (English) Zbl 0515.58026 Math. Scand. 52, 262-268 (1983). MSC: 37D99 37C25 54H20 PDF BibTeX XML Cite \textit{I. Ekeland}, Math. Scand. 52, 262--268 (1983; Zbl 0515.58026) Full Text: DOI EuDML
Newhouse, Sheldon E. Lectures on dynamical systems. (English) Zbl 0444.58001 Dynamical systems, C.I.M.E. Lect., Bressanone 1978, Prog. Math. 8, 1-114 (1980). MSC: 58-02 37D15 37C75 37A99 37C70 37D99 37C25 37J40 PDF BibTeX XML