Balasuriya, Sanjeeva Uncertainty in finite-time Lyapunov exponent computations. (English) Zbl 1450.37077 J. Comput. Dyn. 7, No. 2, 313-337 (2020). MSC: 37M25 68U01 PDF BibTeX XML Cite \textit{S. Balasuriya}, J. Comput. Dyn. 7, No. 2, 313--337 (2020; Zbl 1450.37077) Full Text: DOI
Xia, Yonghui; Bai, Yuzhen; O’Regan, Donal A new method to prove the nonuniform dichotomy spectrum theorem in \(\mathbb{R}^n\). (English) Zbl 1432.34074 Proc. Am. Math. Soc. 147, No. 9, 3905-3917 (2019). Reviewer: David Cheban (Chisinau) MSC: 34D09 34A30 37C60 PDF BibTeX XML Cite \textit{Y. Xia} et al., Proc. Am. Math. Soc. 147, No. 9, 3905--3917 (2019; Zbl 1432.34074) Full Text: DOI
Girod, Alina; Hüls, Thorsten On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation. (English) Zbl 1405.37024 J. Difference Equ. Appl. 24, No. 11, 1734-1755 (2018). MSC: 37B55 37D10 34D09 34C37 PDF BibTeX XML Cite \textit{A. Girod} and \textit{T. Hüls}, J. Difference Equ. Appl. 24, No. 11, 1734--1755 (2018; Zbl 1405.37024) Full Text: DOI
Kuehn, Christian; Romanò, Francesco; Kuhlmann, Hendrik C. Tracking particles in flows near invariant manifolds via balance functions. (English) Zbl 1398.70046 Nonlinear Dyn. 92, No. 3, 983-1000 (2018). MSC: 70K60 37N10 34D08 PDF BibTeX XML Cite \textit{C. Kuehn} et al., Nonlinear Dyn. 92, No. 3, 983--1000 (2018; Zbl 1398.70046) Full Text: DOI
Giesl, Peter; McMichen, James Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation. (English) Zbl 1409.37035 Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1835-1850 (2018). MSC: 37C75 37C60 34D20 65P40 65N15 PDF BibTeX XML Cite \textit{P. Giesl} and \textit{J. McMichen}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1835--1850 (2018; Zbl 1409.37035) Full Text: DOI
Hüls, Thorsten Computing stable hierarchies of fiber bundles. (English) Zbl 1373.37049 Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3341-3367 (2017). MSC: 37B55 37D10 65P40 37C60 PDF BibTeX XML Cite \textit{T. Hüls}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3341--3367 (2017; Zbl 1373.37049) Full Text: DOI
Balasuriya, Sanjeeva Local stable and unstable manifolds and their control in nonautonomous finite-time flows. (English) Zbl 1364.37067 J. Nonlinear Sci. 26, No. 4, 895-927 (2016). Reviewer: Andrea Bacciotti (Torino) MSC: 37D10 37D05 76R05 34D09 PDF BibTeX XML Cite \textit{S. Balasuriya}, J. Nonlinear Sci. 26, No. 4, 895--927 (2016; Zbl 1364.37067) Full Text: DOI arXiv
Hüls, Thorsten A contour algorithm for computing stable fiber bundles of nonautonomous, noninvertible maps. (English) Zbl 1359.37062 SIAM J. Appl. Dyn. Syst. 15, No. 2, 923-951 (2016). MSC: 37D10 37B55 65Q10 PDF BibTeX XML Cite \textit{T. Hüls}, SIAM J. Appl. Dyn. Syst. 15, No. 2, 923--951 (2016; Zbl 1359.37062) Full Text: DOI
Hafstein, Sigurdur; Giesl, Peter Review on computational methods for Lyapunov functions. (English) Zbl 1337.37001 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2291-2331 (2015). Reviewer: Carlo Laing (Auckland) MSC: 37-02 37M99 34D20 34D05 37C75 34D45 37B25 PDF BibTeX XML Cite \textit{S. Hafstein} and \textit{P. Giesl}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2291--2331 (2015; Zbl 1337.37001) Full Text: DOI
Chu, Jifeng; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhang, Weinian Nonuniform dichotomy spectrum and reducibility for nonautonomous equations. (English) Zbl 1344.37038 Bull. Sci. Math. 139, No. 5, 538-557 (2015). MSC: 37D25 37B55 PDF BibTeX XML Cite \textit{J. Chu} et al., Bull. Sci. Math. 139, No. 5, 538--557 (2015; Zbl 1344.37038) Full Text: DOI arXiv
Wang, Guangwa; Cao, Yongluo Dynamical spectrum in random dynamical systems. (English) Zbl 1351.37213 J. Dyn. Differ. Equations 26, No. 1, 1-20 (2014). MSC: 37H05 34D09 37B55 37H15 PDF BibTeX XML Cite \textit{G. Wang} and \textit{Y. Cao}, J. Dyn. Differ. Equations 26, No. 1, 1--20 (2014; Zbl 1351.37213) Full Text: DOI
Doan, T. S.; Siegmund, S. Finite-time attractivity for diagonally dominant systems with off-diagonal delays. (English) Zbl 1254.34085 Abstr. Appl. Anal. 2012, Article ID 210156, 10 p. (2012). Reviewer: Zhanyuan Hou (London) MSC: 34K06 PDF BibTeX XML Cite \textit{T. S. Doan} and \textit{S. Siegmund}, Abstr. Appl. Anal. 2012, Article ID 210156, 10 p. (2012; Zbl 1254.34085) Full Text: DOI
Doan, T. S.; Karrasch, D.; Nguyen, T. Y.; Siegmund, S. A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents. (English) Zbl 1251.37025 J. Differ. Equations 252, No. 10, 5535-5554 (2012). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37B55 34D08 34D09 PDF BibTeX XML Cite \textit{T. S. Doan} et al., J. Differ. Equations 252, No. 10, 5535--5554 (2012; Zbl 1251.37025) Full Text: DOI
Giesl, Peter; Rasmussen, Martin Areas of attraction for nonautonomous differential equations on finite time intervals. (English) Zbl 1239.34058 J. Math. Anal. Appl. 390, No. 1, 27-46 (2012). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34D20 37C60 PDF BibTeX XML Cite \textit{P. Giesl} and \textit{M. Rasmussen}, J. Math. Anal. Appl. 390, No. 1, 27--46 (2012; Zbl 1239.34058) Full Text: DOI
Duc, Luu Hoang; Siegmund, Stefan Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows. (English) Zbl 1247.37027 J. Dyn. Differ. Equations 23, No. 3, 475-494 (2011). Reviewer: Norbert Koksch (Dresden) MSC: 37D05 37B55 37J20 76F20 34C05 34A40 PDF BibTeX XML Cite \textit{L. H. Duc} and \textit{S. Siegmund}, J. Dyn. Differ. Equations 23, No. 3, 475--494 (2011; Zbl 1247.37027) Full Text: DOI
Doan, T. S.; Palmer, K.; Siegmund, S. Transient spectral theory, stable and unstable cones and Gershgorins theorem for finite-time differential equations. (English) Zbl 1228.34083 J. Differ. Equations 250, No. 11, 4177-4199 (2011). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34D09 37B55 37D05 34D05 PDF BibTeX XML Cite \textit{T. S. Doan} et al., J. Differ. Equations 250, No. 11, 4177--4199 (2011; Zbl 1228.34083) Full Text: DOI
Rasmussen, Martin Finite-time attractivity and bifurcation for nonautonomous differential equations. (English) Zbl 1213.34070 Differ. Equ. Dyn. Syst. 18, No. 1-2, 57-78 (2010). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34D45 34D09 37B55 37G35 34C23 PDF BibTeX XML Cite \textit{M. Rasmussen}, Differ. Equ. Dyn. Syst. 18, No. 1--2, 57--78 (2010; Zbl 1213.34070) Full Text: DOI
Berger, A.; Doan, T. S.; Siegmund, S. A definition of spectrum for differential equations on finite time. (English) Zbl 1169.34040 J. Differ. Equations 246, No. 3, 1098-1118 (2009). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34D09 34A30 PDF BibTeX XML Cite \textit{A. Berger} et al., J. Differ. Equations 246, No. 3, 1098--1118 (2009; Zbl 1169.34040) Full Text: DOI