Stepanyants, G. A. Direct Lyapunov method in the problem of ensuring the stability of a compact minimum set of a dynamic system and the formation of a halo-orbit near the Lagrange point L2. (English. Russian original) Zbl 07790692 J. Comput. Syst. Sci. Int. 62, No. 3, 421-433 (2023); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2023, No. 4, 3-16 (2023). MSC: 93D20 70M20 70F07 PDFBibTeX XMLCite \textit{G. A. Stepanyants}, J. Comput. Syst. Sci. Int. 62, No. 3, 421--433 (2023; Zbl 07790692); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2023, No. 4, 3--16 (2023) Full Text: DOI
Chenciner, Alain Did you say “qualitative”? (Vous avez dit “qualitatif”?) (French) Zbl 07773749 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 61-80 (2023). MSC: 70H05 70F15 37Cxx 01A55 37E30 PDFBibTeX XMLCite \textit{A. Chenciner}, Lect. Notes Math. 2313, 61--80 (2023; Zbl 07773749) Full Text: DOI
Chen, Ting; Li, Shimin; Llibre, Jaume Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems. (English) Zbl 1519.34032 Nonlinear Dyn. 110, No. 1, 705-721 (2022). MSC: 34C25 34A36 37J12 70H12 PDFBibTeX XMLCite \textit{T. Chen} et al., Nonlinear Dyn. 110, No. 1, 705--721 (2022; Zbl 1519.34032) Full Text: DOI
Azouz, Naoufel; Khamlia, Mahmoud; Lerbet, Jean; Abichou, Azgal Modelling and stabilization of a load suspended by cable from an airship. (English) Zbl 1513.70014 Multibody Syst. Dyn. 55, No. 4, 399-431 (2022). MSC: 70E55 70Q05 93D15 PDFBibTeX XMLCite \textit{N. Azouz} et al., Multibody Syst. Dyn. 55, No. 4, 399--431 (2022; Zbl 1513.70014) Full Text: DOI
Chen, Ting; Llibre, Jaume Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. (English) Zbl 1510.37090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250116, 23 p. (2022). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J25 37J39 34A36 34C05 34C07 70H05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250116, 23 p. (2022; Zbl 1510.37090) Full Text: DOI
Chabane, Lydia; Lazarescu, Alexandre; Verley, Gatien Effective Hamiltonians and Lagrangians for conditioned Markov processes at large volume. (English) Zbl 1524.60262 J. Stat. Phys. 187, No. 1, Paper No. 6, 56 p. (2022). MSC: 60K35 60F10 82C22 82C31 70L99 PDFBibTeX XMLCite \textit{L. Chabane} et al., J. Stat. Phys. 187, No. 1, Paper No. 6, 56 p. (2022; Zbl 1524.60262) Full Text: DOI arXiv
Bhatt, Ashish Projected exponential Runge-Kutta methods for preserving dissipative properties of perturbed constrained Hamiltonian systems. (English) Zbl 1492.65201 J. Comput. Appl. Math. 394, Article ID 113556, 14 p. (2021). MSC: 65L06 65P10 70H09 PDFBibTeX XMLCite \textit{A. Bhatt}, J. Comput. Appl. Math. 394, Article ID 113556, 14 p. (2021; Zbl 1492.65201) Full Text: DOI
Irtegov, Valentin Dmitrievich; Titorenko, Tat’yana Nikolaevna On invariant sets for the equations of motion of a rigid body in the Hess-Appelrot case. (English) Zbl 1458.70003 Izv. Irkutsk. Gos. Univ., Ser. Mat. 33, 20-34 (2020). MSC: 70E50 34C40 34D20 PDFBibTeX XMLCite \textit{V. D. Irtegov} and \textit{T. N. Titorenko}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 33, 20--34 (2020; Zbl 1458.70003) Full Text: DOI Link
Chen, Ting; Li, Shimin; Llibre, Jaume \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields. (English) Zbl 1471.37056 J. Differ. Equations 269, No. 1, 832-861 (2020). Reviewer: Valery A. Gaiko (Minsk) MSC: 37J25 37J20 37C81 34C05 34C07 70K05 PDFBibTeX XMLCite \textit{T. Chen} et al., J. Differ. Equations 269, No. 1, 832--861 (2020; Zbl 1471.37056) Full Text: DOI
Polekhin, Ivan Yu. Precession of the Kovalevskaya and Goryachev-Chaplygin tops. (English) Zbl 1428.70013 Regul. Chaotic Dyn. 24, No. 3, 281-297 (2019). MSC: 70E17 37J35 PDFBibTeX XMLCite \textit{I. Yu. Polekhin}, Regul. Chaotic Dyn. 24, No. 3, 281--297 (2019; Zbl 1428.70013) Full Text: DOI arXiv
Kishor, Ram; Raj, M. Xavier James; Ishwar, Bhola Normalization of Hamiltonian and nonlinear stability of triangular equilibrium points in the photogravitational restricted three body problem with P-R drag in non-resonance case. (English) Zbl 1454.70007 Qual. Theory Dyn. Syst. 18, No. 3, 1055-1075 (2019). MSC: 70H14 37J40 70F07 PDFBibTeX XMLCite \textit{R. Kishor} et al., Qual. Theory Dyn. Syst. 18, No. 3, 1055--1075 (2019; Zbl 1454.70007) Full Text: DOI arXiv
Mawhin, Jean The implicit function theorem and its substitutes in Poincaré’s qualitative theory of differential equations. (English) Zbl 1294.01020 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 47, 124-130 (2014). MSC: 01A55 26-03 26B10 70-03 70F07 70F15 76-03 76U05 PDFBibTeX XMLCite \textit{J. Mawhin}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 47, 124--130 (2014; Zbl 1294.01020) Full Text: DOI
Valls, C. On the local analytic integrability for a generalized damped nonlinear oscillator equation. (English) Zbl 1385.70040 J. Math. Phys. 55, No. 6, 062901, 10 p. (2014). Reviewer: Vasile Marinca (Timişoara) MSC: 70K30 70K40 34C15 PDFBibTeX XMLCite \textit{C. Valls}, J. Math. Phys. 55, No. 6, 062901, 10 p. (2014; Zbl 1385.70040) Full Text: DOI
Li, Zhengdong; Fu, Yanning The optimal upper bound on the number of generalized Euler configurations. (English) Zbl 1195.70016 Sci. China, Math. 53, No. 2, 401-412 (2010). MSC: 70F07 PDFBibTeX XMLCite \textit{Z. Li} and \textit{Y. Fu}, Sci. China, Math. 53, No. 2, 401--412 (2010; Zbl 1195.70016) Full Text: DOI
Giné, Jaume On the origin of the anomalous precession of Mercury’s perihelion. (English) Zbl 1152.70305 Chaos Solitons Fractals 38, No. 4, 1004-1010 (2008). MSC: 70F15 83B05 83C10 PDFBibTeX XMLCite \textit{J. Giné}, Chaos Solitons Fractals 38, No. 4, 1004--1010 (2008; Zbl 1152.70305) Full Text: DOI arXiv
Giné, Jaume On the origin of the gravitational quantization: the Titius-Bode law. (English) Zbl 1336.70030 Chaos Solitons Fractals 32, No. 2, 363-369 (2007). MSC: 70F15 83C25 PDFBibTeX XMLCite \textit{J. Giné}, Chaos Solitons Fractals 32, No. 2, 363--369 (2007; Zbl 1336.70030) Full Text: DOI arXiv
Giné, Jaume On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force. (English) Zbl 1070.81018 Chaos Solitons Fractals 26, No. 5, 1259-1266 (2005). MSC: 81P20 81Q05 70H05 60J60 PDFBibTeX XMLCite \textit{J. Giné}, Chaos Solitons Fractals 26, No. 5, 1259--1266 (2005; Zbl 1070.81018) Full Text: DOI
Tuwankotta, J. M. Widely separated frequencies in coupled oscillators with energy-preserving quadratic nonlinearity. (English) Zbl 1073.70018 Physica D 182, No. 1-2, 125-149 (2003). MSC: 70K50 70K42 70K45 PDFBibTeX XMLCite \textit{J. M. Tuwankotta}, Physica D 182, No. 1--2, 125--149 (2003; Zbl 1073.70018) Full Text: DOI
Barrow-Green, June Oscar II’s prize competition and the error in Poincaré’s memoir on the three body problem. (English) Zbl 0812.01010 Arch. Hist. Exact Sci. 48, No. 2, 109-131 (1994). Reviewer: P.Müürsepp (Tartu) MSC: 01A55 70F07 PDFBibTeX XMLCite \textit{J. Barrow-Green}, Arch. Hist. Exact Sci. 48, No. 2, 109--131 (1994; Zbl 0812.01010) Full Text: DOI
Zhao, Feng Extracting and representing qualitative behaviors of complex systems in phase space. (English) Zbl 0810.58011 Artif. Intell. 69, No. 1-2, 51-92 (1994). MSC: 37E99 94A15 93B40 70G10 37N99 PDFBibTeX XMLCite \textit{F. Zhao}, Artif. Intell. 69, No. 1--2, 51--92 (1994; Zbl 0810.58011) Full Text: DOI
Ling, Fuhua A numerical treatment of the periodic solutions of nonlinear vibration systems. (English) Zbl 0532.70018 Appl. Math. Mech., Engl. Ed. 4, 525-546 (1983). Reviewer: A.Muracchini MSC: 70K20 70-08 PDFBibTeX XMLCite \textit{F. Ling}, Appl. Math. Mech., Engl. Ed. 4, 525--546 (1983; Zbl 0532.70018) Full Text: DOI