Jin, Chunyin; Li, Shuangzhi Flocking of a thermodynamic Cucker-Smale model with local velocity interactions. (English) Zbl 07815362 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 632-649 (2024). MSC: 34A36 34D06 34E10 34K25 70E55 PDFBibTeX XMLCite \textit{C. Jin} and \textit{S. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 632--649 (2024; Zbl 07815362) Full Text: DOI
Verhulst, Ferdinand Multiple timing and spatial scaling for bifurcations. (English) Zbl 07728726 Nonlinear Dyn. 111, No. 12, 10693-10707 (2023). MSC: 70-XX PDFBibTeX XMLCite \textit{F. Verhulst}, Nonlinear Dyn. 111, No. 12, 10693--10707 (2023; Zbl 07728726) Full Text: DOI
Zhang, Hai-E.; Xu, Gen-Qi; Han, Zhong-Jie Stability and eigenvalue asymptotics of multi-dimensional fully magnetic effected piezoelectric system with friction-type infinite memory. (English) Zbl 1514.35059 SIAM J. Appl. Math. 83, No. 2, 510-529 (2023). MSC: 35B40 35L53 35Q93 70Q05 93C20 93D15 PDFBibTeX XMLCite \textit{H.-E. Zhang} et al., SIAM J. Appl. Math. 83, No. 2, 510--529 (2023; Zbl 1514.35059) Full Text: DOI
Sultanov, Oskar A. Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation. (English) Zbl 1508.34061 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1719-1749 (2023). MSC: 34D10 34D05 34D20 37C60 34C15 37J40 70K30 70K40 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1719--1749 (2023; Zbl 1508.34061) Full Text: DOI arXiv
Yagasaki, Kazuyuki Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in dynamical systems with symmetry. arXiv:2302.06861 Preprint, arXiv:2302.06861 [math.DS] (2023). MSC: 34C23 37G15 37G25 37G40 34D10 34E10 34H05 70Q05 BibTeX Cite \textit{K. Yagasaki}, ``Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in dynamical systems with symmetry'', Preprint, arXiv:2302.06861 [math.DS] (2023) Full Text: arXiv OA License
Chen, Kuo Chang; Pan, Bo Yu Distance estimates for simple choreographic solutions of the three-body problem. (English) Zbl 1502.70020 Acta Math. Sin., Engl. Ser. 38, No. 10, 1823-1830 (2022). MSC: 70F07 70F15 34E10 PDFBibTeX XMLCite \textit{K. C. Chen} and \textit{B. Y. Pan}, Acta Math. Sin., Engl. Ser. 38, No. 10, 1823--1830 (2022; Zbl 1502.70020) Full Text: DOI
Chen, Kuo-Chang On action-minimizing solutions of the two-center problem. (English) Zbl 1513.70035 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 6, 2450-2458 (2022). MSC: 70F05 70F15 70F16 34E10 70H06 PDFBibTeX XMLCite \textit{K.-C. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 6, 2450--2458 (2022; Zbl 1513.70035) Full Text: DOI
Bozorov, I. N.; Khurramov, A. M. On the number of eigenvalues of the lattice model operator in one-dimensional case. (English) Zbl 1496.81056 Lobachevskii J. Math. 43, No. 2, 353-365 (2022). MSC: 81Q10 70F05 35P10 47A13 PDFBibTeX XMLCite \textit{I. N. Bozorov} and \textit{A. M. Khurramov}, Lobachevskii J. Math. 43, No. 2, 353--365 (2022; Zbl 1496.81056) Full Text: DOI
Hsu, Ku-Jung Binary-syzygy sequence of restricted few-body-few-center problem with symmetric primaries. (English) Zbl 1491.70012 Celest. Mech. Dyn. Astron. 134, No. 2, Paper No. 9, 24 p. (2022). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 70F15 70F16 34E10 PDFBibTeX XMLCite \textit{K.-J. Hsu}, Celest. Mech. Dyn. Astron. 134, No. 2, Paper No. 9, 24 p. (2022; Zbl 1491.70012) Full Text: DOI
Galdi, Giovanni P. Navier-Stokes flow past a rigid body that moves by time-periodic motion. (English) Zbl 1497.76023 J. Math. Fluid Mech. 24, No. 2, Paper No. 30, 23 p. (2022). MSC: 76D03 35Q30 70E99 PDFBibTeX XMLCite \textit{G. P. Galdi}, J. Math. Fluid Mech. 24, No. 2, Paper No. 30, 23 p. (2022; Zbl 1497.76023) Full Text: DOI arXiv
London, Steven D. Weakly nonlinear analysis of mean flow generation for tidally locked exoplanets. (English) Zbl 1482.85011 Geophys. Astrophys. Fluid Dyn. 115, No. 5-6, 696-709 (2021). MSC: 85A20 37N10 70M20 PDFBibTeX XMLCite \textit{S. D. London}, Geophys. Astrophys. Fluid Dyn. 115, No. 5--6, 696--709 (2021; Zbl 1482.85011) Full Text: DOI
Sultanov, Oskar A. Autoresonance in oscillating systems with combined excitation and weak dissipation. (English) Zbl 1510.70056 Physica D 417, Article ID 132835, 11 p. (2021). MSC: 70K40 70K20 70K50 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Physica D 417, Article ID 132835, 11 p. (2021; Zbl 1510.70056) Full Text: DOI arXiv
Sonna, Armel Viquit; Yemele, David Control of chaotic behavior in the dynamics of generalized Bonhoeffer-van der Pol system: effect of asymmetric parameter. (English) Zbl 1482.34086 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106017, 26 p. (2021). MSC: 34B30 34C23 34C37 34C28 70K40 70K55 34H10 34E10 PDFBibTeX XMLCite \textit{A. V. Sonna} and \textit{D. Yemele}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106017, 26 p. (2021; Zbl 1482.34086) Full Text: DOI
Medvedsky, A. L.; Meleshenko, P. A.; Nesterov, V. A.; Reshetova, O. O.; Semenov, M. E. Dynamics of hysteretic-related Van-der-Pol oscillators: the small parameter method. (English. Russian original) Zbl 1516.34062 J. Comput. Syst. Sci. Int. 60, No. 4, 511-529 (2021); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 7-26 (2021). MSC: 34C15 34E10 34E05 34C25 70K40 34C55 34D06 PDFBibTeX XMLCite \textit{A. L. Medvedsky} et al., J. Comput. Syst. Sci. Int. 60, No. 4, 511--529 (2021; Zbl 1516.34062); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 7--26 (2021) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems. (English) Zbl 1514.37037 Nonlinearity 34, No. 11, 7574-7608 (2021). MSC: 37C27 37C29 34C14 34E10 34A05 34C15 34C40 70K44 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Nonlinearity 34, No. 11, 7574--7608 (2021; Zbl 1514.37037) Full Text: DOI arXiv
Michelangeli, Alessandro Models of zero-range interaction for the bosonic trimer at unitarity. (English) Zbl 1499.81047 Rev. Math. Phys. 33, No. 4, Article ID 2150010, 101 p. (2021). MSC: 81Q10 45H05 46F10 46N20 46N50 47B25 47F10 47N50 70F07 81U10 PDFBibTeX XMLCite \textit{A. Michelangeli}, Rev. Math. Phys. 33, No. 4, Article ID 2150010, 101 p. (2021; Zbl 1499.81047) Full Text: DOI arXiv
Davini, Andrea; Wang, Lin On the vanishing discount problem from the negative direction. (English) Zbl 1470.35136 Discrete Contin. Dyn. Syst. 41, No. 5, 2377-2389 (2021). MSC: 35F21 35D40 70H20 PDFBibTeX XMLCite \textit{A. Davini} and \textit{L. Wang}, Discrete Contin. Dyn. Syst. 41, No. 5, 2377--2389 (2021; Zbl 1470.35136) Full Text: DOI arXiv
Makarenkov, Oleg; Verhulst, Ferdinand Resonant periodic solutions in regularized impact oscillator. (English) Zbl 1485.34121 J. Math. Anal. Appl. 499, No. 2, Article ID 125035, 17 p. (2021). Reviewer: Wan-Tong Li (Lanzhou) MSC: 34C25 34E15 34E10 34D20 37C60 34C29 70K30 70K60 PDFBibTeX XMLCite \textit{O. Makarenkov} and \textit{F. Verhulst}, J. Math. Anal. Appl. 499, No. 2, Article ID 125035, 17 p. (2021; Zbl 1485.34121) Full Text: DOI
Yagasaki, Kazuyuki A new proof of Poincaré’s result on the restricted three-body problem. arXiv:2111.11031 Preprint, arXiv:2111.11031 [math.DS] (2021). MSC: 70F07 37J30 34E10 34M15 34M35 37J40 BibTeX Cite \textit{K. Yagasaki}, ``A new proof of Poincar\'e's result on the restricted three-body problem'', Preprint, arXiv:2111.11031 [math.DS] (2021) Full Text: arXiv OA License
Yagasaki, Kazuyuki Nonintegrability of the restricted three-body problem. arXiv:2106.04925 Preprint, arXiv:2106.04925 [math.DS] (2021). MSC: 70F07 37J30 34E10 34M15 34M35 37J40 BibTeX Cite \textit{K. Yagasaki}, ``Nonintegrability of the restricted three-body problem'', Preprint, arXiv:2106.04925 [math.DS] (2021) Full Text: arXiv OA License
Smirnov, Valeri V.; Manevitch, Leonid I. Complex envelope variable approximation in nonlinear dynamics. (English) Zbl 1470.70029 Russ. J. Nonlinear Dyn. 16, No. 3, 491-515 (2020). MSC: 70K70 34C15 34E10 37J99 PDFBibTeX XMLCite \textit{V. V. Smirnov} and \textit{L. I. Manevitch}, Russ. J. Nonlinear Dyn. 16, No. 3, 491--515 (2020; Zbl 1470.70029) Full Text: DOI arXiv MNR
Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. Approximate research of problems on perturbation of periodic and autonomous Hamiltonian systems in critical cases. (English) Zbl 1458.37064 Lobachevskii J. Math. 41, No. 9, 1924-1931 (2020). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J40 37J46 37J25 37J20 70H14 PDFBibTeX XMLCite \textit{M. G. Yumagulov} et al., Lobachevskii J. Math. 41, No. 9, 1924--1931 (2020; Zbl 1458.37064) Full Text: DOI
Nagase, Masayoshi A formula for the heat kernel coefficients on Riemannian manifolds. (English) Zbl 1447.58026 Tohoku Math. J. (2) 72, No. 2, 261-282 (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 58J37 70H11 PDFBibTeX XMLCite \textit{M. Nagase}, Tôhoku Math. J. (2) 72, No. 2, 261--282 (2020; Zbl 1447.58026) Full Text: DOI Euclid
Płociniczak, Łukasz; Wróblewska, Zofia Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. (English) Zbl 1434.34052 Nonlinear Dyn. 99, No. 4, 2693-2705 (2020). MSC: 34E10 34B15 70K60 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{Z. Wróblewska}, Nonlinear Dyn. 99, No. 4, 2693--2705 (2020; Zbl 1434.34052) Full Text: DOI arXiv
Rojas, David Resonance of bounded isochronous oscillators. (English) Zbl 1443.34036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111680, 10 p. (2020). Reviewer: Vladimir Jacimovic (Podgorica) MSC: 34C15 70K30 34E10 PDFBibTeX XMLCite \textit{D. Rojas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111680, 10 p. (2020; Zbl 1443.34036) Full Text: DOI arXiv
Beyer, F.; Escobar, L.; Frauendiener, J.; Ritchie, J. Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations. (English) Zbl 1477.83045 Classical Quantum Gravity 36, No. 17, Article ID 175005, 31 p. (2019). MSC: 83C57 83C27 70H45 41A29 37F75 83C30 PDFBibTeX XMLCite \textit{F. Beyer} et al., Classical Quantum Gravity 36, No. 17, Article ID 175005, 31 p. (2019; Zbl 1477.83045) Full Text: DOI arXiv
Kostromina, Ol’ga Sergeevna On limit cycles, resonance and homoclinic structures in asymmetric pendulum-type equation. (English) Zbl 1446.34059 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 2, 228-244 (2019). MSC: 34C15 34C05 34E10 34C23 34C37 70K30 70K40 70K55 PDFBibTeX XMLCite \textit{O. S. Kostromina}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 2, 228--244 (2019; Zbl 1446.34059) Full Text: DOI MNR
Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou Existence of radial mixed type solutions in Chern-Simons theories of rank 2 in \(\mathbb{R}^2\). (English) Zbl 1433.35318 Commun. Math. Phys. 370, No. 3, 995-1017 (2019). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 58J28 58J37 35B10 35J60 35J61 81T13 70S15 17B81 35B40 35B45 PDFBibTeX XMLCite \textit{K. Choe} et al., Commun. Math. Phys. 370, No. 3, 995--1017 (2019; Zbl 1433.35318) Full Text: DOI
Bothner, Thomas; Its, Alexander; Prokhorov, Andrei On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. (English) Zbl 1447.60038 Adv. Math. 345, 483-551 (2019). MSC: 60E05 45M05 82B26 70S05 33C10 33C15 PDFBibTeX XMLCite \textit{T. Bothner} et al., Adv. Math. 345, 483--551 (2019; Zbl 1447.60038) Full Text: DOI arXiv
Cherkasov, Oleg; Zarodnyuk, Alena; Smirnova, Nina Optimal thrust programming along the brachistochronic trajectory with non-linear drag. (English) Zbl 1462.49061 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 1, 1-6 (2019). MSC: 49N35 70K05 30E25 45M05 PDFBibTeX XMLCite \textit{O. Cherkasov} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 1, 1--6 (2019; Zbl 1462.49061) Full Text: DOI
Kalyakin, Leonid Anatol’evich Capture and holding of resonance far from equilibrium. (Russian. English summary) Zbl 1463.34218 Ufim. Mat. Zh. 10, No. 4, 64-76 (2018); translation in Ufa Math. J. 10, No. 4, 64-76 (2018). MSC: 34D05 34E10 34D10 37C60 70K30 34C25 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Ufim. Mat. Zh. 10, No. 4, 64--76 (2018; Zbl 1463.34218); translation in Ufa Math. J. 10, No. 4, 64--76 (2018) Full Text: DOI MNR
Kholshevnikov, K. V.; Milanov, Danila V.; Shaidulin, V. Sh. Laplace series for the level ellipsoid of revolution. (English) Zbl 1448.70010 Celest. Mech. Dyn. Astron. 130, No. 10, Paper No. 64, 11 p. (2018). MSC: 70E15 33C55 PDFBibTeX XMLCite \textit{K. V. Kholshevnikov} et al., Celest. Mech. Dyn. Astron. 130, No. 10, Paper No. 64, 11 p. (2018; Zbl 1448.70010) Full Text: DOI
Recke, L. Forced frequency locking for differential equations with distributional forcings. (English) Zbl 1431.34056 Ukr. Math. J. 70, No. 1, 124-141 (2018) and Ukr. Mat. Zh. 70, No. 1, 115-129 (2018). MSC: 34C25 34E10 70K40 34D05 PDFBibTeX XMLCite \textit{L. Recke}, Ukr. Math. J. 70, No. 1, 124--141 (2018; Zbl 1431.34056) Full Text: DOI
Adamov, Boris I. A study of the controlled motion of a four-wheeled mecanum platform. (English) Zbl 1419.70006 Russ. J. Nonlinear Dyn. 14, No. 2, 265-290 (2018). MSC: 70F25 70E55 70E60 70Q05 70K70 34D15 34E10 37J60 37J20 PDFBibTeX XMLCite \textit{B. I. Adamov}, Russ. J. Nonlinear Dyn. 14, No. 2, 265--290 (2018; Zbl 1419.70006) Full Text: DOI MNR
Kalyakin, L. A. Painlevé II equation as a model of a resonant interaction of oscillators. (English. Russian original) Zbl 1418.34083 Proc. Steklov Inst. Math. 303, Suppl. 1, S124-S135 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 104-116 (2017). MSC: 34C15 34E10 70K30 34M55 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Proc. Steklov Inst. Math. 303, S124--S135 (2018; Zbl 1418.34083); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 104--116 (2017) Full Text: DOI
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L. Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. (English) Zbl 1407.82039 Kinet. Relat. Models 11, No. 4, 933-952 (2018). MSC: 82C31 70F99 82C22 45M05 35R09 35B40 35Q82 35C06 PDFBibTeX XMLCite \textit{P. Laurençot} et al., Kinet. Relat. Models 11, No. 4, 933--952 (2018; Zbl 1407.82039) Full Text: DOI arXiv
Kalyakin, L. A. Resonance capture in a system of two oscillators near equilibrium. (English. Russian original) Zbl 1444.34060 Theor. Math. Phys. 194, No. 3, 331-346 (2018); translation from Teor. Mat. Fiz. 194, No. 3, 385-402 (2018). MSC: 34C15 34E10 34E05 70K30 34M55 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Theor. Math. Phys. 194, No. 3, 331--346 (2018; Zbl 1444.34060); translation from Teor. Mat. Fiz. 194, No. 3, 385--402 (2018) Full Text: DOI
Bachmann, Sven; De Roeck, Wojciech; Fraas, Martin The adiabatic theorem and linear response theory for extended quantum systems. (English) Zbl 1473.81080 Commun. Math. Phys. 361, No. 3, 997-1027 (2018). MSC: 81Q80 34E10 81V70 70H11 82C22 82C35 PDFBibTeX XMLCite \textit{S. Bachmann} et al., Commun. Math. Phys. 361, No. 3, 997--1027 (2018; Zbl 1473.81080) Full Text: DOI arXiv
Nordmark, Arne; Várkonyi, Peter L.; Champneys, Alan R. Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity. (English) Zbl 1393.70032 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1267-1309 (2018). MSC: 70F40 37N05 70H45 PDFBibTeX XMLCite \textit{A. Nordmark} et al., SIAM J. Appl. Dyn. Syst. 17, No. 2, 1267--1309 (2018; Zbl 1393.70032) Full Text: DOI arXiv
Kiselev, O. M. Asymptotic behaviour of measure for captured trajectories into parametric autoresonance. (English) Zbl 1390.70053 Nonlinear Dyn. 91, No. 3, 1977-1983 (2018). MSC: 70J40 37C27 PDFBibTeX XMLCite \textit{O. M. Kiselev}, Nonlinear Dyn. 91, No. 3, 1977--1983 (2018; Zbl 1390.70053) Full Text: DOI arXiv
Kalyakin, Leonid Anatol’evich Adiabatic approximation in a resonance capture problem. (Russian. English summary) Zbl 1463.34217 Ufim. Mat. Zh. 9, No. 3, 63-77 (2017); translation in Ufa Math. J. 9, No. 3, 61-75 (2017). MSC: 34D05 34C29 34E10 70K30 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Ufim. Mat. Zh. 9, No. 3, 63--77 (2017; Zbl 1463.34217); translation in Ufa Math. J. 9, No. 3, 61--75 (2017) Full Text: DOI MNR
Bruggeman, Roelof; Verhulst, Ferdinand The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance. (English) Zbl 1394.70049 Acta Appl. Math. 152, No. 1, 111-145 (2017). MSC: 70H07 70H12 34E10 37J40 PDFBibTeX XMLCite \textit{R. Bruggeman} and \textit{F. Verhulst}, Acta Appl. Math. 152, No. 1, 111--145 (2017; Zbl 1394.70049) Full Text: DOI arXiv
Li, Lei; Zhang, Qi-chang Nonlinear dynamic analysis of electrically actuated viscoelastic bistable microbeam system. (English) Zbl 1371.74171 Nonlinear Dyn. 87, No. 1, 587-604 (2017). MSC: 74K10 74S05 70K44 74D10 34E10 34E13 PDFBibTeX XMLCite \textit{L. Li} and \textit{Q.-c. Zhang}, Nonlinear Dyn. 87, No. 1, 587--604 (2017; Zbl 1371.74171) Full Text: DOI
Neishtadt, Anatoly Averaging method for systems with separatrix crossing. (English) Zbl 1381.37073 Nonlinearity 30, No. 7, 2871-2917 (2017). Reviewer: Josef Diblík (Brno) MSC: 37J40 34C29 70K65 70H08 34E10 PDFBibTeX XMLCite \textit{A. Neishtadt}, Nonlinearity 30, No. 7, 2871--2917 (2017; Zbl 1381.37073) Full Text: DOI arXiv Link
Kalas, Josef Periodic solutions of Liénard-Mathieu differential equation with a small parameter. (English) Zbl 1410.34122 Georgian Math. J. 24, No. 1, 81-95 (2017). MSC: 34C25 34C29 70K28 34E10 34C15 PDFBibTeX XMLCite \textit{J. Kalas}, Georgian Math. J. 24, No. 1, 81--95 (2017; Zbl 1410.34122) Full Text: DOI
Romanov, R. Order problem for canonical systems and a conjecture of Valent. (English) Zbl 1368.37072 Trans. Am. Math. Soc. 369, No. 2, 1061-1078 (2017). MSC: 37J45 34L15 47B36 70H05 74K05 PDFBibTeX XMLCite \textit{R. Romanov}, Trans. Am. Math. Soc. 369, No. 2, 1061--1078 (2017; Zbl 1368.37072) Full Text: DOI arXiv
Belyaev, Alexandr On the entire and finite valued solutions of the three-body problem. (English) Zbl 1482.70008 Theor. Appl. Mech. (Belgrade) 43, No. 2, 229-253 (2016). MSC: 70F07 34M30 74H10 34M45 74H05 PDFBibTeX XMLCite \textit{A. Belyaev}, Theor. Appl. Mech. (Belgrade) 43, No. 2, 229--253 (2016; Zbl 1482.70008) Full Text: DOI
de Jong, Thomas Asymptotic expansion of the angle between successive maximal distances for a 2-body system with potential \(-1/r^{1+\varepsilon}\). (English) Zbl 1402.70011 Indag. Math., New Ser. 27, No. 5, 1107-1115 (2016). MSC: 70F05 70H05 PDFBibTeX XMLCite \textit{T. de Jong}, Indag. Math., New Ser. 27, No. 5, 1107--1115 (2016; Zbl 1402.70011) Full Text: DOI
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej Ballistic orbits and front speed enhancement for ABC flows. (English) Zbl 1418.34080 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1753-1782 (2016). MSC: 34C11 34E10 37J35 37J40 70H08 PDFBibTeX XMLCite \textit{T. McMillen} et al., SIAM J. Appl. Dyn. Syst. 15, No. 3, 1753--1782 (2016; Zbl 1418.34080) Full Text: DOI arXiv
Dey, Pinakee; Uddin, Nasir; Alam, Md. Mahmud An analytical technique for solving non autonomous nonlinear vibrating systems which vary with time. (English) Zbl 1515.34027 J. Calcutta Math. Soc. 11, No. 2, 83-94 (2015). MSC: 34A45 70K40 34E10 34E05 37C60 PDFBibTeX XMLCite \textit{P. Dey} et al., J. Calcutta Math. Soc. 11, No. 2, 83--94 (2015; Zbl 1515.34027)
Sandilo, Sajad H.; van Horssen, Wim T. On a cascade of autoresonances in an elevator cable system. (English) Zbl 1351.70019 Nonlinear Dyn. 80, No. 3, 1613-1630 (2015). MSC: 70J40 34D05 PDFBibTeX XMLCite \textit{S. H. Sandilo} and \textit{W. T. van Horssen}, Nonlinear Dyn. 80, No. 3, 1613--1630 (2015; Zbl 1351.70019) Full Text: DOI
Iwasa, Masatomo Derivation of asymptotic dynamical systems with partial Lie symmetry groups. (English) Zbl 1353.37144 J. Appl. Math. 2015, Article ID 601657, 8 p. (2015). MSC: 37L20 35A30 34C14 34E10 70G65 PDFBibTeX XMLCite \textit{M. Iwasa}, J. Appl. Math. 2015, Article ID 601657, 8 p. (2015; Zbl 1353.37144) Full Text: DOI
Luongo, A.; Ferretti, M. Can a semi-simple eigenvalue admit fractional sensitivities? (English) Zbl 1338.15043 Appl. Math. Comput. 255, 165-178 (2015). MSC: 15A42 34D15 34E10 70H09 PDFBibTeX XMLCite \textit{A. Luongo} and \textit{M. Ferretti}, Appl. Math. Comput. 255, 165--178 (2015; Zbl 1338.15043) Full Text: DOI
Jollivet, Alexandre Inverse scattering at high energies for classical relativistic particles in a long-range electromagnetic field. (English) Zbl 1342.78017 Ann. Henri Poincaré 16, No. 11, 2569-2602 (2015). Reviewer: Pierluigi Maponi (Camerino) / Michael Perelmuter (Kyïv) MSC: 78A35 70H40 78A46 83A05 78M35 PDFBibTeX XMLCite \textit{A. Jollivet}, Ann. Henri Poincaré 16, No. 11, 2569--2602 (2015; Zbl 1342.78017) Full Text: DOI
Junca, Stéphane; Tong, Ly Limitation on the method of strained coordinates for vibrations with weak grazing unilateral contact. (English) Zbl 1345.34109 Nonlinear Dyn. 80, No. 1-2, 197-207 (2015). MSC: 34E10 70K75 34E13 34C60 37M05 37N05 PDFBibTeX XMLCite \textit{S. Junca} and \textit{L. Tong}, Nonlinear Dyn. 80, No. 1--2, 197--207 (2015; Zbl 1345.34109) Full Text: DOI HAL
Han, Ning; Cao, Qingjie; Liang, Tingwei A rotating disk linked by a pair of springs. (English) Zbl 1345.34075 Nonlinear Dyn. 79, No. 2, 1275-1291 (2015). MSC: 34C37 70H03 70H05 34C05 34E10 34C60 34C28 37D45 37M05 37N05 PDFBibTeX XMLCite \textit{N. Han} et al., Nonlinear Dyn. 79, No. 2, 1275--1291 (2015; Zbl 1345.34075) Full Text: DOI
Dua, Aseem; Marathe, Amol Computing Melnikov curves for periodically perturbed piecewise smooth oscillators. (English) Zbl 1317.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550067, 18 p. (2015). MSC: 34C15 34A36 34C60 34C37 34E10 70K28 PDFBibTeX XMLCite \textit{A. Dua} and \textit{A. Marathe}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550067, 18 p. (2015; Zbl 1317.34053) Full Text: DOI
Lyul’ko, N. Instability of a nonlinear system of two oscillators under main and combination resonances. (English. Russian original) Zbl 1332.34075 Comput. Math. Math. Phys. 55, No. 1, 53-70 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 56-73 (2015). Reviewer: Oleg Anashkin (Simferopol) MSC: 34C15 34C29 34E10 34A05 70K28 PDFBibTeX XMLCite \textit{N. Lyul'ko}, Comput. Math. Math. Phys. 55, No. 1, 53--70 (2015; Zbl 1332.34075); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 56--73 (2015) Full Text: DOI
Lyulko, N. A.; Kudryavtseva, N. A.; Kudryavtsev, A. N. Asymptotic and numerical analysis of parametric resonance in a nonlinear system of two oscillators. (Russian. English summary) Zbl 1329.34093 Sib. Èlektron. Mat. Izv. 11, 675-694 (2014). MSC: 34C60 34C15 34C29 34D20 70K28 65L06 34C25 34E10 PDFBibTeX XMLCite \textit{N. A. Lyulko} et al., Sib. Èlektron. Mat. Izv. 11, 675--694 (2014; Zbl 1329.34093) Full Text: Link
Gelfreich, Vassili; Lerman, Lev Separatrix splitting at a Hamiltonian \(0^2i\omega\) bifurcation. (English) Zbl 1347.37102 Regul. Chaotic Dyn. 19, No. 6, 635-655 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J20 37J45 70K50 70K70 PDFBibTeX XMLCite \textit{V. Gelfreich} and \textit{L. Lerman}, Regul. Chaotic Dyn. 19, No. 6, 635--655 (2014; Zbl 1347.37102) Full Text: DOI arXiv
Paoletti, Roberto Local scaling asymptotics in phase space and time in Berezin-Toeplitz quantization. (English) Zbl 1296.53162 Int. J. Math. 25, No. 6, Article ID 1450060, 40 p. (2014). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81S10 70H15 PDFBibTeX XMLCite \textit{R. Paoletti}, Int. J. Math. 25, No. 6, Article ID 1450060, 40 p. (2014; Zbl 1296.53162) Full Text: DOI arXiv
Xin, Jack; Yu, Yifeng Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. (English) Zbl 1366.35018 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1049-1068 (2013). MSC: 35F21 35Q35 80A25 70H20 76F99 PDFBibTeX XMLCite \textit{J. Xin} and \textit{Y. Yu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1049--1068 (2013; Zbl 1366.35018) Full Text: DOI
Mashtakov, A. P.; Popov, A. Yu. Asymptotics of Maxwell time in the plate-ball problem. (English. Russian original) Zbl 1284.49024 J. Math. Sci., New York 195, No. 3, 336-368 (2013); translation from Sovrem. Mat. Prilozh. 82 (2012). MSC: 49K15 70B10 93B27 PDFBibTeX XMLCite \textit{A. P. Mashtakov} and \textit{A. Yu. Popov}, J. Math. Sci., New York 195, No. 3, 336--368 (2013; Zbl 1284.49024); translation from Sovrem. Mat. Prilozh. 82 (2012) Full Text: DOI arXiv
Neishtadt, Anatoly; Su, Tan On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. (English) Zbl 1285.34054 SIAM J. Appl. Dyn. Syst. 12, No. 3, 1436-1473 (2013). MSC: 34E10 70H11 37J40 PDFBibTeX XMLCite \textit{A. Neishtadt} and \textit{T. Su}, SIAM J. Appl. Dyn. Syst. 12, No. 3, 1436--1473 (2013; Zbl 1285.34054) Full Text: DOI arXiv
Greiner, Peter C. A Hamiltonian approach to the heat kernel of a subLaplacian on \(S^{2n+1}\). (English) Zbl 1282.53026 Anal. Appl., Singap. 11, No. 6, Article ID 1350035, 62 p. (2013). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 35H20 35C15 35K08 32V20 70H20 34K10 PDFBibTeX XMLCite \textit{P. C. Greiner}, Anal. Appl., Singap. 11, No. 6, Article ID 1350035, 62 p. (2013; Zbl 1282.53026) Full Text: DOI arXiv
Hudson, Thomas \(\Gamma\)-expansion for a 1D confined Lennard-Jones model with point defect. (English) Zbl 1270.49011 Netw. Heterog. Media 8, No. 2, 501-527 (2013). Reviewer: Jan Lovíšek (Bratislava) MSC: 49J45 70C20 74B20 74G65 74Q15 PDFBibTeX XMLCite \textit{T. Hudson}, Netw. Heterog. Media 8, No. 2, 501--527 (2013; Zbl 1270.49011) Full Text: DOI arXiv
Cai, Meixiang; Cao, Hongjun Bifurcations of periodic orbits in Duffing equation with periodic damping and external excitations. (English) Zbl 1267.34102 Nonlinear Dyn. 70, No. 1, 453-462 (2012). MSC: 34E10 34C23 70K30 PDFBibTeX XMLCite \textit{M. Cai} and \textit{H. Cao}, Nonlinear Dyn. 70, No. 1, 453--462 (2012; Zbl 1267.34102) Full Text: DOI
Sheheitli, Hiba; Rand, Richard H. Dynamics of a mass-spring-pendulum system with vastly different frequencies. (English) Zbl 1267.34065 Nonlinear Dyn. 70, No. 1, 25-41 (2012). MSC: 34C15 34E20 70E20 34E10 PDFBibTeX XMLCite \textit{H. Sheheitli} and \textit{R. H. Rand}, Nonlinear Dyn. 70, No. 1, 25--41 (2012; Zbl 1267.34065) Full Text: DOI
Aslanov, Vladimir; Yudintsev, Vadim Dynamics and chaos control of gyrostat satellite. (English) Zbl 1258.93078 Chaos Solitons Fractals 45, No. 9-10, 1100-1107 (2012). MSC: 70E05 70K44 34E10 34H10 37N05 PDFBibTeX XMLCite \textit{V. Aslanov} and \textit{V. Yudintsev}, Chaos Solitons Fractals 45, No. 9--10, 1100--1107 (2012; Zbl 1258.93078) Full Text: DOI
Xin, Jack; Yu, Yifeng Comparison of front speed asymptotics of G-equation and its variants. (English) Zbl 1383.35109 RIMS Kôkyûroku Bessatsu B31, 211-223 (2012). MSC: 35K57 76F99 80A25 70H20 PDFBibTeX XMLCite \textit{J. Xin} and \textit{Y. Yu}, RIMS Kôkyûroku Bessatsu B31, 211--223 (2012; Zbl 1383.35109) Full Text: Link
Bhattacharjee, Shayak; Bhattacharjee, J. K. Lindstedt Poincaré technique applied to molecular potentials. (English) Zbl 1381.34053 J. Math. Chem. 50, No. 6, 1398-1410 (2012). MSC: 34C15 34E10 70K60 PDFBibTeX XMLCite \textit{S. Bhattacharjee} and \textit{J. K. Bhattacharjee}, J. Math. Chem. 50, No. 6, 1398--1410 (2012; Zbl 1381.34053) Full Text: DOI
Belyaev, A. On the full list of finite-valued solutions of the Euler-Poisson equations having four first integrals. (English) Zbl 1281.70013 Math. Nachr. 285, No. 10, 1199-1229 (2012). MSC: 70E40 70E15 PDFBibTeX XMLCite \textit{A. Belyaev}, Math. Nachr. 285, No. 10, 1199--1229 (2012; Zbl 1281.70013) Full Text: DOI
Gentile, Guido Construction of quasi-periodic response solutions in forced strongly dissipative systems. (English) Zbl 1280.70012 Forum Math. 24, No. 4, 791-808 (2012). MSC: 70K43 70K40 34C25 34E10 PDFBibTeX XMLCite \textit{G. Gentile}, Forum Math. 24, No. 4, 791--808 (2012; Zbl 1280.70012) Full Text: DOI arXiv
El-Gohary, H. A.; El-Ganaini, W. A. A. Vibration suppression of a dynamical system to multi-parametric excitations via time-delay absorber. (English) Zbl 1236.70049 Appl. Math. Modelling 36, No. 1, 35-45 (2012). MSC: 70Q05 34H10 70K70 37N05 34C46 34E10 PDFBibTeX XMLCite \textit{H. A. El-Gohary} and \textit{W. A. A. El-Ganaini}, Appl. Math. Modelling 36, No. 1, 35--45 (2012; Zbl 1236.70049) Full Text: DOI
Gashenenko, I. N.; Tkachenko, D. N. Power expansions of solutions of the equations of motion of a gyrostat. (Russian. English summary) Zbl 1486.70007 Mekh. Tverd. Tela 41, 11-26 (2011). MSC: 70E05 70G70 PDFBibTeX XMLCite \textit{I. N. Gashenenko} and \textit{D. N. Tkachenko}, Mekh. Tverd. Tela 41, 11--26 (2011; Zbl 1486.70007) Full Text: Link
Belyaev, A. V. The analytical properties of solutions of the three-body problem. (English) Zbl 1418.70020 Carpathian Math. Publ. 3, No. 2, 18-35 (2011). MSC: 70F07 34M30 74H10 34M45 74H05 PDFBibTeX XMLCite \textit{A. V. Belyaev}, Carpathian Math. Publ. 3, No. 2, 18--35 (2011; Zbl 1418.70020)
Llibre, J.; Novaes, D. D.; Teixeira, M. A. On the periodic solutions of a perturbed double pendulum. (English) Zbl 1272.34051 São Paulo J. Math. Sci. 5, No. 2, 317-330 (2011). MSC: 34C25 34C29 70E17 34E10 PDFBibTeX XMLCite \textit{J. Llibre} et al., São Paulo J. Math. Sci. 5, No. 2, 317--330 (2011; Zbl 1272.34051) Full Text: DOI arXiv
Takahashi, Daisuke; Matsukidaira, Junta; Hara, Hiroaki; Feng, Bao-Feng Max-plus analysis on some binary particle systems. (English) Zbl 1220.37012 J. Phys. A, Math. Theor. 44, No. 13, Article ID 135102, 21 p. (2011). Reviewer: Vladimir Răsvan (Craiova) MSC: 37B15 68Q80 70K55 82B26 PDFBibTeX XMLCite \textit{D. Takahashi} et al., J. Phys. A, Math. Theor. 44, No. 13, Article ID 135102, 21 p. (2011; Zbl 1220.37012) Full Text: DOI arXiv
Yagasaki, Kazuyuki Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1213.37092 Discrete Contin. Dyn. Syst. 29, No. 1, 387-402 (2011). Reviewer: Dorin Andrica (Riyadh) MSC: 37J45 70H07 70H09 34C37 34E10 37J30 PDFBibTeX XMLCite \textit{K. Yagasaki}, Discrete Contin. Dyn. Syst. 29, No. 1, 387--402 (2011; Zbl 1213.37092) Full Text: DOI
El’bert, Alexander Asymptotic solution to the restricted three-body problem with a mass point moving near a small-mass body. (English) Zbl 1377.70031 Math. Methods Appl. Sci. 33, No. 15, 1807-1849 (2010). MSC: 70F07 PDFBibTeX XMLCite \textit{A. El'bert}, Math. Methods Appl. Sci. 33, No. 15, 1807--1849 (2010; Zbl 1377.70031) Full Text: DOI
Mickens, Ronald E. Truly nonlinear oscillations. Harmonic balance, parameter expansions, iteration, and averaging methods. (English) Zbl 1221.34001 Hackensack, NJ: World Scientific (ISBN 978-981-4291-65-1/hbk; 978-981-4291-66-8/ebook). xxi, 238 p. (2010). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 34-01 34C15 34C05 34C29 34E10 70K65 PDFBibTeX XMLCite \textit{R. E. Mickens}, Truly nonlinear oscillations. Harmonic balance, parameter expansions, iteration, and averaging methods. Hackensack, NJ: World Scientific (2010; Zbl 1221.34001)
Klimenko, A. A.; Mikhlin, Yu. V. Nonlinear dynamics of the spring pendulum. (Russian. English summary) Zbl 1251.70017 Din. Sist., Simferopol’ 27, 51-65 (2009). MSC: 70K75 70K20 34E10 PDFBibTeX XMLCite \textit{A. A. Klimenko} and \textit{Yu. V. Mikhlin}, Din. Sist., Simferopol' 27, 51--65 (2009; Zbl 1251.70017)
Castilho, César; Marchesin, Marcelo A practical use of the Melnikov homoclinic method. (English) Zbl 1304.34081 J. Math. Phys. 50, No. 11, 112704, 11 p. (2009). MSC: 34C37 34C28 34E10 37D45 37G20 70K55 PDFBibTeX XMLCite \textit{C. Castilho} and \textit{M. Marchesin}, J. Math. Phys. 50, No. 11, 112704, 11 p. (2009; Zbl 1304.34081) Full Text: DOI
Ali Akbar, M.; Shamsul Alam, M.; Shanta, S. S.; Sharif Uddin, M.; Samsuzzoha, M. Perturbation method for fourth order nonlinear systems with large damping. (English) Zbl 1391.34092 Bull. Calcutta Math. Soc. 100, No. 1, 85-92 (2008). MSC: 34E10 70K60 PDFBibTeX XMLCite \textit{M. Ali Akbar} et al., Bull. Calcutta Math. Soc. 100, No. 1, 85--92 (2008; Zbl 1391.34092)
Buslaev, V. S.; Levin, S. B. Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. (English) Zbl 1180.81132 Møller, Jacob S. (ed.) et al., Quantum few-body systems. Proceedings of the joint physics/mathematics workshop on quantum few-body systems, Aarhus, Denmark, 19–20 March 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0517-2/hbk). AIP Conference Proceedings 998, 101-112 (2008). MSC: 81U10 81Q05 70F07 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{S. B. Levin}, AIP Conf. Proc. 998, 101--112 (2008; Zbl 1180.81132)
Kalyakin, L. A. Asymptotic analysis of autoresonance models. (English. Russian original) Zbl 1159.70015 Russ. Math. Surv. 63, No. 5, 791-857 (2008); translation from Usp. Mat. Nauk 63, No. 5, 3-72 (2008). MSC: 70K30 70K60 70K65 70-02 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Russ. Math. Surv. 63, No. 5, 791--857 (2008; Zbl 1159.70015); translation from Usp. Mat. Nauk 63, No. 5, 3--72 (2008) Full Text: DOI
Zhermolenko, V. N. Maximum deviation of oscillating system of the second order with external and parametric disturbances. (English. Russian original) Zbl 1301.93112 J. Comput. Syst. Sci. Int. 46, No. 3, 407-412 (2007); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2007, No. 3, 75-80 (2007). MSC: 93C73 34C05 34E10 70K40 93C41 93D09 PDFBibTeX XMLCite \textit{V. N. Zhermolenko}, J. Comput. Syst. Sci. Int. 46, No. 3, 407--412 (2007; Zbl 1301.93112); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2007, No. 3, 75--80 (2007) Full Text: DOI
Dantas, Márcio José Horta; Balthazar, José Manoel On the existence and stability of periodic orbits in nonideal problems: general results. (English) Zbl 1134.34024 Z. Angew. Math. Phys. 58, No. 6, 940-958 (2007). Reviewer: Ronald L. Huston (Cincinnati) MSC: 34C25 70K30 34E10 PDFBibTeX XMLCite \textit{M. J. H. Dantas} and \textit{J. M. Balthazar}, Z. Angew. Math. Phys. 58, No. 6, 940--958 (2007; Zbl 1134.34024) Full Text: DOI
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A. Application of the homotopy perturbation method to the nonlinear pendulum. (English) Zbl 1119.70017 Eur. J. Phys. 28, No. 1, 93-104 (2007). Reviewer: Vasile Marinca (Timişoara) MSC: 70K60 34E10 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Eur. J. Phys. 28, No. 1, 93--104 (2007; Zbl 1119.70017) Full Text: DOI Link
Suleimanov, B. I. On some typical features of motion with damping in the case of smooth inhomogeneity. (English. Russian original) Zbl 1327.70017 Dokl. Math. 73, No. 2, 299-301 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 4, 460-462 (2006). MSC: 70K70 34E10 34E15 PDFBibTeX XMLCite \textit{B. I. Suleimanov}, Dokl. Math. 73, No. 2, 299--301 (2006; Zbl 1327.70017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 4, 460--462 (2006) Full Text: DOI
Mickens, R. E. Iteration method solutions for conservative and limit-cycle \(x^{1/3}\) force oscillators. (English) Zbl 1243.34051 J. Sound Vib. 292, No. 3-5, 964-968 (2006). MSC: 34C15 34C05 34E10 34A45 70K05 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Sound Vib. 292, No. 3--5, 964--968 (2006; Zbl 1243.34051) Full Text: DOI
Seibold, Benjamin Optimal prediction in molecular dynamics. (English) Zbl 1309.81351 Di Bucchianico, Alessandro (ed.) et al., Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Berlin: Springer (ISBN 3-540-28072-3/hbk). Mathematics in Industry 8, 631-636 (2006). MSC: 81V55 70H05 PDFBibTeX XMLCite \textit{B. Seibold}, Math. Ind. 8, 631--636 (2006; Zbl 1309.81351) Full Text: DOI
Jollivet, Alexandre On inverse scattering for the multidimensional relativistic Newton equation at high energies. (English) Zbl 1112.70018 J. Math. Phys. 47, No. 6, 062902, 30 p. (2006). MSC: 70H40 83A05 35Q75 PDFBibTeX XMLCite \textit{A. Jollivet}, J. Math. Phys. 47, No. 6, 062902, 30 p. (2006; Zbl 1112.70018) Full Text: DOI arXiv
Ryashko, L. B. Quasi-potential method of the stochastic sensitivity analysis for a 2D torus. (Russian) Zbl 1224.34181 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 14, No. 1, 38-54 (2006). Reviewer: Andrei Zemskov (Moskva) MSC: 34F05 34C28 70K20 34E10 34C45 PDFBibTeX XMLCite \textit{L. B. Ryashko}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 14, No. 1, 38--54 (2006; Zbl 1224.34181)
Kirillov, O. N.; Seĭranian, A. P. Instability of distributed nonconservative systems caused by weak dissipation. (English. Russian original) Zbl 1272.70082 Dokl. Math. 71, No. 3, 470-475 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460-466 (2005). MSC: 70J25 74K10 34B05 34E10 34L15 PDFBibTeX XMLCite \textit{O. N. Kirillov} and \textit{A. P. Seĭranian}, Dokl. Math. 71, No. 3, 470--475 (2005; Zbl 1272.70082); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460--466 (2005)
Belyaev, Aleksandr V. Analytic properties of solutions of the Euler-Poisson equations in the Hess case. (Russian. English summary) Zbl 1211.70005 Ukr. Mat. Visn. 2, No. 3, 297-317 (2005); translation in Ukr. Math. Bull. 2, No. 3, 301-321 (2005). MSC: 70E17 34M30 PDFBibTeX XMLCite \textit{A. V. Belyaev}, Ukr. Mat. Visn. 2, No. 3, 297--317 (2005; Zbl 1211.70005); translation in Ukr. Math. Bull. 2, No. 3, 301--321 (2005)
Rand, Richard; Morrison, Tina \(2:1:1\) resonance in the quasi-periodic Mathieu equation. (English) Zbl 1132.34041 Nonlinear Dyn. 40, No. 2, 195-203 (2005). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E13 34E10 34C15 70K28 34C23 PDFBibTeX XMLCite \textit{R. Rand} and \textit{T. Morrison}, Nonlinear Dyn. 40, No. 2, 195--203 (2005; Zbl 1132.34041) Full Text: DOI
Neĭshtadt, A. I. Capture into resonance and scattering on resonances in two-frequency systems. (English. Russian original) Zbl 1127.34026 Proc. Steklov Inst. Math. 250, 183-203 (2005); translation from Tr. Mat. Inst. Steklova 250, 198-218 (2005). Reviewer: Vasile Marinca (Timişoara) MSC: 34C29 34E10 37J40 70H08 PDFBibTeX XMLCite \textit{A. I. Neĭshtadt}, in: Differential equations and dynamical systems. Collected papers. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 183--203 (2005; Zbl 1127.34026); translation from Tr. Mat. Inst. Steklova 250, 198--218 (2005) Full Text: MNR
Petrov, A. G. Asymptotic methods for solving the Hamilton equations by the parametrization of canonical transformations. (English. Russian original) Zbl 1077.37041 Differ. Equ. 40, No. 5, 672-685 (2004); translation from Differ. Uravn. 40, No. 5, 626-638 (2004). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J45 34E10 70H05 PDFBibTeX XMLCite \textit{A. G. Petrov}, Differ. Equ. 40, No. 5, 672--685 (2004; Zbl 1077.37041); translation from Differ. Uravn. 40, No. 5, 626--638 (2004) Full Text: DOI
Champneys, A. R.; Fraser, W. B. Resonance tongue interaction in the parametrically excited column. (English) Zbl 1126.74018 SIAM J. Appl. Math. 65, No. 1, 267-298 (2004). MSC: 74H45 34E13 70J40 74K10 PDFBibTeX XMLCite \textit{A. R. Champneys} and \textit{W. B. Fraser}, SIAM J. Appl. Math. 65, No. 1, 267--298 (2004; Zbl 1126.74018) Full Text: DOI