Biasco, L.; Chierchia, L. Global properties of generic real-analytic nearly-integrable Hamiltonian systems. (English) Zbl 07797690 J. Differ. Equations 385, 325-361 (2024). MSC: 37J40 70H08 70K43 70K65 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, J. Differ. Equations 385, 325--361 (2024; Zbl 07797690) Full Text: DOI arXiv
Capiński, Maciej J.; Kepley, Shane; Mireles James, J. D. Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem. (English) Zbl 1520.37058 J. Differ. Equations 366, 132-191 (2023). MSC: 37N05 37C29 37J46 70F07 70F15 68V05 PDFBibTeX XMLCite \textit{M. J. Capiński} et al., J. Differ. Equations 366, 132--191 (2023; Zbl 1520.37058) Full Text: DOI arXiv
Zheng, Yingying; Chen, Xingwu Degenerate T-singularity bifurcation and crossing periodic orbits in a 3-dimensional piecewise smooth system. (English) Zbl 1518.34050 J. Differ. Equations 354, 296-324 (2023). Reviewer: Lucyjane Silva (Goiânia) MSC: 34C23 34A36 34C05 PDFBibTeX XMLCite \textit{Y. Zheng} and \textit{X. Chen}, J. Differ. Equations 354, 296--324 (2023; Zbl 1518.34050) Full Text: DOI
Li, Tao; Llibre, Jaume Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. (English) Zbl 1511.34016 J. Differ. Equations 344, 405-438 (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C07 34C29 34C05 37J46 34C23 34E10 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, J. Differ. Equations 344, 405--438 (2023; Zbl 1511.34016) Full Text: DOI
Gouveia, Luiz F. S.; Rondón, Gabriel; da Silva, Paulo R. Piecewise holomorphic systems. (English) Zbl 1495.30023 J. Differ. Equations 332, 440-472 (2022). MSC: 30E25 34M03 PDFBibTeX XMLCite \textit{L. F. S. Gouveia} et al., J. Differ. Equations 332, 440--472 (2022; Zbl 1495.30023) Full Text: DOI arXiv
Capiński, Maciej J.; Guardia, Marcel; Martín, Pau; M-Seara, Tere; Zgliczyński, Piotr Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem. (English) Zbl 1498.70014 J. Differ. Equations 320, 316-370 (2022). MSC: 70F07 70F15 37N05 PDFBibTeX XMLCite \textit{M. J. Capiński} et al., J. Differ. Equations 320, 316--370 (2022; Zbl 1498.70014) Full Text: DOI arXiv
Chen, Xingwu; Li, Tao; Llibre, Jaume Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications. (English) Zbl 1495.34026 J. Differ. Equations 314, 340-369 (2022). Reviewer: Dingheng Pi (Quanzhou) MSC: 34A36 34C07 34C05 34C23 34C29 34E10 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Differ. Equations 314, 340--369 (2022; Zbl 1495.34026) Full Text: DOI
Oksasoglu, Ali; Wang, Qiudong High order Melnikov method: pendulums. (English) Zbl 1502.34053 J. Differ. Equations 312, 176-208 (2022). Reviewer: Yun Tian (Shanghai) MSC: 34C45 34C15 34E10 37C60 PDFBibTeX XMLCite \textit{A. Oksasoglu} and \textit{Q. Wang}, J. Differ. Equations 312, 176--208 (2022; Zbl 1502.34053) Full Text: DOI
Gomide, Otávio M. L.; Teixeira, Marco A. On typical homoclinic-like loops in 3D Filippov systems. (English) Zbl 1491.34055 J. Differ. Equations 307, 444-475 (2022). Reviewer: Alessandro Calamai (Ancona) MSC: 34C37 34A36 34C23 PDFBibTeX XMLCite \textit{O. M. L. Gomide} and \textit{M. A. Teixeira}, J. Differ. Equations 307, 444--475 (2022; Zbl 1491.34055) Full Text: DOI arXiv
Wang, Jiafu; Huang, Lihong Limit cycles bifurcated from a focus-fold singularity in general piecewise smooth planar systems. (English) Zbl 1516.34070 J. Differ. Equations 304, 491-519 (2021). MSC: 34C23 34C05 34A36 PDFBibTeX XMLCite \textit{J. Wang} and \textit{L. Huang}, J. Differ. Equations 304, 491--519 (2021; Zbl 1516.34070) Full Text: DOI
Novaes, Douglas D.; Silva, Leandro A. Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields. (English) Zbl 1477.34055 J. Differ. Equations 300, 565-596 (2021). MSC: 34C05 34C23 34A36 68W30 PDFBibTeX XMLCite \textit{D. D. Novaes} and \textit{L. A. Silva}, J. Differ. Equations 300, 565--596 (2021; Zbl 1477.34055) Full Text: DOI arXiv
Guardia, Marcel; Paradela, Jaime; Seara, Tere M.; Vidal, Claudio Symbolic dynamics in the restricted elliptic isosceles three body problem. (English) Zbl 1478.37086 J. Differ. Equations 294, 143-177 (2021). MSC: 37N05 37B10 70F07 PDFBibTeX XMLCite \textit{M. Guardia} et al., J. Differ. Equations 294, 143--177 (2021; Zbl 1478.37086) Full Text: DOI arXiv
Li, Tao; Chen, Xingwu Degenerate grazing-sliding bifurcations in planar Filippov systems. (English) Zbl 1454.34030 J. Differ. Equations 269, No. 12, 11396-11434 (2020). Reviewer: Xiang Zhang (Shanghai) MSC: 34A36 34C05 34C23 34C37 34C07 PDFBibTeX XMLCite \textit{T. Li} and \textit{X. Chen}, J. Differ. Equations 269, No. 12, 11396--11434 (2020; Zbl 1454.34030) Full Text: DOI
Gomide, Otávio M. L.; Guardia, Marcel; Seara, Tere M. Critical velocity in kink-defect interaction models: rigorous results. (English) Zbl 1439.35334 J. Differ. Equations 269, No. 4, 3282-3346 (2020). MSC: 35L71 35B25 35R05 PDFBibTeX XMLCite \textit{O. M. L. Gomide} et al., J. Differ. Equations 269, No. 4, 3282--3346 (2020; Zbl 1439.35334) Full Text: DOI arXiv
Wang, Qiudong Exponentially small splitting: a direct approach. (English) Zbl 1436.34042 J. Differ. Equations 269, No. 1, 954-1036 (2020). MSC: 34C45 34C37 34E10 37C60 PDFBibTeX XMLCite \textit{Q. Wang}, J. Differ. Equations 269, No. 1, 954--1036 (2020; Zbl 1436.34042) Full Text: DOI
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
Qian, Weichao; Li, Yong; Yang, Xue Persistence of Lagrange invariant tori at tangent degeneracy. (English) Zbl 1437.37073 J. Differ. Equations 268, No. 9, 5078-5112 (2020). MSC: 37J40 70H08 70K43 PDFBibTeX XMLCite \textit{W. Qian} et al., J. Differ. Equations 268, No. 9, 5078--5112 (2020; Zbl 1437.37073) Full Text: DOI
Andrade, K. da S.; Jeffrey, M. R.; Martins, R. M.; Teixeira, M. A. On the Dulac’s problem for piecewise analytic vector fields. (English) Zbl 1426.34042 J. Differ. Equations 266, No. 4, 2259-2273 (2019). Reviewer: Anthony D. Osborne (Keele) MSC: 34C07 35C05 PDFBibTeX XMLCite \textit{K. da S. Andrade} et al., J. Differ. Equations 266, No. 4, 2259--2273 (2019; Zbl 1426.34042) Full Text: DOI Link
Berti, M.; Maspero, A. Long time dynamics of Schrödinger and wave equations on flat tori. (English) Zbl 1420.35040 J. Differ. Equations 267, No. 2, 1167-1200 (2019). Reviewer: Denis Borisov (Ufa) MSC: 35B40 35Q41 35B15 37K55 PDFBibTeX XMLCite \textit{M. Berti} and \textit{A. Maspero}, J. Differ. Equations 267, No. 2, 1167--1200 (2019; Zbl 1420.35040) Full Text: DOI arXiv
Chen, Hebai; Duan, Sen; Tang, Yilei; Xie, Jianhua Global dynamics of a mechanical system with dry friction. (English) Zbl 1400.34069 J. Differ. Equations 265, No. 11, 5490-5519 (2018). MSC: 34C60 70F40 34C05 34C23 34A36 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Differ. Equations 265, No. 11, 5490--5519 (2018; Zbl 1400.34069) Full Text: DOI
Maspero, A.; Procesi, M. Long time stability of small finite gap solutions of the cubic nonlinear Schrödinger equation on \(\mathbb{T}^2\). (English) Zbl 1428.35529 J. Differ. Equations 265, No. 7, 3212-3309 (2018). MSC: 35Q55 35B35 PDFBibTeX XMLCite \textit{A. Maspero} and \textit{M. Procesi}, J. Differ. Equations 265, No. 7, 3212--3309 (2018; Zbl 1428.35529) Full Text: DOI arXiv
Bonet-Reves, Carles; Larrosa, Juliana; M-Seara, Tere Regularization around a generic codimension one fold-fold singularity. (English) Zbl 1393.34029 J. Differ. Equations 265, No. 5, 1761-1838 (2018). Reviewer: Alexey O. Remizov (Palaiseau) MSC: 34A36 34E15 34E10 34C23 PDFBibTeX XMLCite \textit{C. Bonet-Reves} et al., J. Differ. Equations 265, No. 5, 1761--1838 (2018; Zbl 1393.34029) Full Text: DOI arXiv
Alvarez-Ramírez, M.; García, A.; Palacián, J. F.; Yanguas, P. Oscillatory motions in restricted \(N\)-body problems. (English) Zbl 1386.70027 J. Differ. Equations 265, No. 3, 779-803 (2018). MSC: 70F10 PDFBibTeX XMLCite \textit{M. Alvarez-Ramírez} et al., J. Differ. Equations 265, No. 3, 779--803 (2018; Zbl 1386.70027) Full Text: DOI
Delshams, Amadeu; Simon, Adrià; Zgliczyński, Piotr Shadowing of non-transversal heteroclinic chains. (English) Zbl 1382.37061 J. Differ. Equations 264, No. 5, 3619-3663 (2018). MSC: 37J40 37J45 35Q55 37C50 PDFBibTeX XMLCite \textit{A. Delshams} et al., J. Differ. Equations 264, No. 5, 3619--3663 (2018; Zbl 1382.37061) Full Text: DOI arXiv
Guo, Yao; Lin, Wei; Chen, Yuming; Wu, Jianhong Instability in time-delayed switched systems induced by fast and random switching. (English) Zbl 1365.34137 J. Differ. Equations 263, No. 2, 880-909 (2017). MSC: 34K50 34K20 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Differ. Equations 263, No. 2, 880--909 (2017; Zbl 1365.34137) Full Text: DOI
Freire, Emilio; Ponce, Enrique; Torres, Francisco On the critical crossing cycle bifurcation in planar Filippov systems. (English) Zbl 1330.34030 J. Differ. Equations 259, No. 12, 7086-7107 (2015). Reviewer: Hao Wu (Nanjing) MSC: 34A36 34C05 34A60 34C23 PDFBibTeX XMLCite \textit{E. Freire} et al., J. Differ. Equations 259, No. 12, 7086--7107 (2015; Zbl 1330.34030) Full Text: DOI
Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M. Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. (English) Zbl 1271.34050 J. Differ. Equations 253, No. 12, 3304-3439 (2012). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C37 37J45 PDFBibTeX XMLCite \textit{I. Baldomá} et al., J. Differ. Equations 253, No. 12, 3304--3439 (2012; Zbl 1271.34050) Full Text: DOI arXiv