Fleurantin, Emmanuel; Slyman, Katherine; Barker, Blake; Jones, Christopher K. R. T. A dynamical systems approach for most probable escape paths over periodic boundaries. (English) Zbl 1527.37051 Physica D 454, Article ID 133860, 18 p. (2023). MSC: 37H05 37H30 37A50 65C05 65C30 PDFBibTeX XMLCite \textit{E. Fleurantin} et al., Physica D 454, Article ID 133860, 18 p. (2023; Zbl 1527.37051) Full Text: DOI arXiv
Timsina, Archana Neupane; Mireles James, J. D. Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems. (English) Zbl 1504.37061 Chaos Solitons Fractals 161, Article ID 112345, 20 p. (2022). MSC: 37G15 37M21 PDFBibTeX XMLCite \textit{A. N. Timsina} and \textit{J. D. Mireles James}, Chaos Solitons Fractals 161, Article ID 112345, 20 p. (2022; Zbl 1504.37061) Full Text: DOI
Cufí-Cabré, Clara; Fontich, Ernest Differentiable invariant manifolds of nilpotent parabolic points. (English) Zbl 1481.37028 Discrete Contin. Dyn. Syst. 41, No. 10, 4667-4704 (2021). MSC: 37C79 37D10 37M21 PDFBibTeX XMLCite \textit{C. Cufí-Cabré} and \textit{E. Fontich}, Discrete Contin. Dyn. Syst. 41, No. 10, 4667--4704 (2021; Zbl 1481.37028) Full Text: DOI arXiv
Hetebrij, Wouter; Mireles James, J. D. Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations. (English) Zbl 1472.70031 Celest. Mech. Dyn. Astron. 133, No. 2, Paper No. 5, 48 p. (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F10 70K44 70F15 34C45 PDFBibTeX XMLCite \textit{W. Hetebrij} and \textit{J. D. Mireles James}, Celest. Mech. Dyn. Astron. 133, No. 2, Paper No. 5, 48 p. (2021; Zbl 1472.70031) Full Text: DOI arXiv
Coll, B.; Gasull, A.; Prohens, Rafel Asymptotic dynamics of a difference equation with a parabolic equilibrium. (English) Zbl 1454.39025 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 70, 23 p. (2020). Reviewer: Yuming Chen (Waterloo) MSC: 39A30 39A10 39A22 PDFBibTeX XMLCite \textit{B. Coll} et al., Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 70, 23 p. (2020; Zbl 1454.39025) Full Text: DOI Link
Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau Whiskered parabolic tori in the planar \((n+1)\)-body problem. (English) Zbl 1465.37098 Commun. Math. Phys. 374, No. 1, 63-110 (2020). MSC: 37N05 37J40 70F10 PDFBibTeX XMLCite \textit{I. Baldomá} et al., Commun. Math. Phys. 374, No. 1, 63--110 (2020; Zbl 1465.37098) Full Text: DOI arXiv
Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau Invariant manifolds of parabolic fixed points. II: Approximations by sums of homogeneous functions. (English) Zbl 1437.37023 J. Differ. Equations 268, No. 9, 5574-5627 (2020). MSC: 37C05 37C20 37C25 37C27 37C75 37D10 PDFBibTeX XMLCite \textit{I. Baldomá} et al., J. Differ. Equations 268, No. 9, 5574--5627 (2020; Zbl 1437.37023) Full Text: DOI arXiv
Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters. (English) Zbl 1437.37022 J. Differ. Equations 268, No. 9, 5516-5573 (2020). MSC: 37C05 37C20 37C25 37C27 37C75 37D10 PDFBibTeX XMLCite \textit{I. Baldomá} et al., J. Differ. Equations 268, No. 9, 5516--5573 (2020; Zbl 1437.37022) Full Text: DOI arXiv
de la Llave, Rafael; Kogelbauer, Florian Global persistence of Lyapunov subcenter manifolds as spectral submanifolds under dissipative perturbations. (English) Zbl 1473.70033 SIAM J. Appl. Dyn. Syst. 18, No. 4, 2099-2142 (2019). MSC: 70H09 70H12 34D15 34C45 PDFBibTeX XMLCite \textit{R. de la Llave} and \textit{F. Kogelbauer}, SIAM J. Appl. Dyn. Syst. 18, No. 4, 2099--2142 (2019; Zbl 1473.70033) Full Text: DOI arXiv
Simó, Carles Some questions looking for answers in dynamical systems. (English) Zbl 07694266 Discrete Contin. Dyn. Syst. 38, No. 12, 6215-6239 (2018). MSC: 00A27 37C29 37C45 37C55 37C70 37D45 37J30 37J40 37N05 70F10 70F16 37M05 37M25 PDFBibTeX XMLCite \textit{C. Simó}, Discrete Contin. Dyn. Syst. 38, No. 12, 6215--6239 (2018; Zbl 07694266) Full Text: DOI
Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points. (English) Zbl 1360.37070 Discrete Contin. Dyn. Syst. 37, No. 8, 4159-4190 (2017). MSC: 37D10 PDFBibTeX XMLCite \textit{I. Baldomá} et al., Discrete Contin. Dyn. Syst. 37, No. 8, 4159--4190 (2017; Zbl 1360.37070) Full Text: DOI arXiv
Brandão Dias, Lúcia; Delgado, Joaquín; Vidal, Claudio Dynamics and chaos in the elliptic isosceles restricted three-body problem with collision. (English) Zbl 1362.70017 J. Dyn. Differ. Equations 29, No. 1, 259-288 (2017). MSC: 70F15 70F07 37N05 37D45 PDFBibTeX XMLCite \textit{L. Brandão Dias} et al., J. Dyn. Differ. Equations 29, No. 1, 259--288 (2017; Zbl 1362.70017) Full Text: DOI
Guardia, Marcel; Seara, Tere M.; Martín, Pau; Sabbagh, Lara Oscillatory orbits in the restricted elliptic planar three body problem. (English) Zbl 1404.70029 Discrete Contin. Dyn. Syst. 37, No. 1, 229-256 (2017). MSC: 70F07 70F15 37J40 PDFBibTeX XMLCite \textit{M. Guardia} et al., Discrete Contin. Dyn. Syst. 37, No. 1, 229--256 (2017; Zbl 1404.70029) Full Text: DOI
Mireles James, J. D. Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations. (English) Zbl 1277.37035 J. Nonlinear Sci. 23, No. 4, 585-615 (2013). MSC: 37C05 37D10 37D45 PDFBibTeX XMLCite \textit{J. D. Mireles James}, J. Nonlinear Sci. 23, No. 4, 585--615 (2013; Zbl 1277.37035) Full Text: DOI
Gomis-Porqueras, Pere; Haro, Àlex A geometric description of a macroeconomic model with a center manifold. (English) Zbl 1176.91098 J. Econ. Dyn. Control 33, No. 6, 1217-1235 (2009). MSC: 91B64 PDFBibTeX XMLCite \textit{P. Gomis-Porqueras} and \textit{À. Haro}, J. Econ. Dyn. Control 33, No. 6, 1217--1235 (2009; Zbl 1176.91098) Full Text: DOI Link