Crespo, F.; Espejo, D. E.; van der Meer, J. C. \((\mathbb{R}^3 \times SO(3) \times \mathbb{T}^6)\)-reduction, relative equilibria, and bifurcations for the full averaged model of two interacting rigid bodies. (English) Zbl 07818648 SIAM J. Appl. Dyn. Syst. 23, No. 1, 668-695 (2024). MSC: 34C15 34C20 34C25 37J40 70K65 PDFBibTeX XMLCite \textit{F. Crespo} et al., SIAM J. Appl. Dyn. Syst. 23, No. 1, 668--695 (2024; Zbl 07818648) Full Text: DOI
Marchionna, Clelia; Panizzi, Stefano Instability results for a Hill equation coupled with an asymmetrically nonlinear oscillator. (English) Zbl 07815124 Commun. Pure Appl. Anal. 23, No. 2, 304-324 (2024). MSC: 34B30 34B15 34C25 PDFBibTeX XMLCite \textit{C. Marchionna} and \textit{S. Panizzi}, Commun. Pure Appl. Anal. 23, No. 2, 304--324 (2024; Zbl 07815124) Full Text: DOI
Wang, Zhiguo; Liu, Qihuai; Wang, Chao Subharmonic bouncing solutions for a class of sublinear impact oscillators with indefinite weight. (English) Zbl 07807887 Commun. Pure Appl. Anal. 23, No. 1, 21-30 (2024). MSC: 34C15 34C25 37J40 PDFBibTeX XMLCite \textit{Z. Wang} et al., Commun. Pure Appl. Anal. 23, No. 1, 21--30 (2024; Zbl 07807887) Full Text: DOI
Choi, Sun-Ho; Seo, Hyowon Inertial power balance system with nonlinear time-derivatives and periodic natural frequencies. (English) Zbl 07801776 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107695, 23 p. (2024). Reviewer: Carlo Laing (Auckland) MSC: 34D05 34C15 34D06 PDFBibTeX XMLCite \textit{S.-H. Choi} and \textit{H. Seo}, Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107695, 23 p. (2024; Zbl 07801776) Full Text: DOI
Stewart, Ian; Wood, David Stable synchronous propagation of signals by feedforward networks. (English) Zbl 07796518 SIAM J. Appl. Dyn. Syst. 23, No. 1, 167-204 (2024). MSC: 94A12 90B10 05C82 05C20 34A34 34C15 34C25 34D06 34D20 37C27 37C75 37N25 92B25 92C20 92C42 PDFBibTeX XMLCite \textit{I. Stewart} and \textit{D. Wood}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 167--204 (2024; Zbl 07796518) Full Text: DOI arXiv
Allen, L. I.; Molnár, T. G.; Dombóvári, Z.; Hogan, S. J. The effects of delay on the HKB model of human motor coordination. (English) Zbl 07796512 SIAM J. Appl. Dyn. Syst. 23, No. 1, 1-25 (2024). MSC: 37G15 37G25 34C15 34C23 34C25 37N25 PDFBibTeX XMLCite \textit{L. I. Allen} et al., SIAM J. Appl. Dyn. Syst. 23, No. 1, 1--25 (2024; Zbl 07796512) Full Text: DOI arXiv
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of forced nonlinear oscillators. (English) Zbl 07791025 Japan J. Ind. Appl. Math. 41, No. 1, 151-164 (2024). MSC: 37J30 37J35 34C15 34E10 37J40 34A05 37C27 34C25 37C29 34C37 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Japan J. Ind. Appl. Math. 41, No. 1, 151--164 (2024; Zbl 07791025) Full Text: DOI arXiv
Li, Min; Fu, Zhengqi; Li, Xiong Boundedness of solutions for semilinear Duffing equations. (English) Zbl 07787740 J. Math. Anal. Appl. 532, No. 2, Article ID 127979, 25 p. (2024). MSC: 34C11 34C15 34C27 PDFBibTeX XMLCite \textit{M. Li} et al., J. Math. Anal. Appl. 532, No. 2, Article ID 127979, 25 p. (2024; Zbl 07787740) Full Text: DOI
Chen, Kuan-Wei; Shih, Chih-Wen Phase-locked solutions of a coupled pair of nonidentical oscillators. (English) Zbl 07787307 J. Nonlinear Sci. 34, No. 1, Paper No. 14, 56 p. (2024). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34C25 34C23 34D06 PDFBibTeX XMLCite \textit{K.-W. Chen} and \textit{C.-W. Shih}, J. Nonlinear Sci. 34, No. 1, Paper No. 14, 56 p. (2024; Zbl 07787307) Full Text: DOI
Zhu, Zirui; Liu, Xingbo Existence of traveling wave solutions in a singularly perturbed predator-prey equation with spatial diffusion. (English) Zbl 07770125 Discrete Contin. Dyn. Syst. 44, No. 1, 78-115 (2024). Reviewer: Nikola Popovic (Edinburgh) MSC: 34E15 35C07 35K57 92D25 34B15 34E17 34C26 34C37 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{X. Liu}, Discrete Contin. Dyn. Syst. 44, No. 1, 78--115 (2024; Zbl 07770125) Full Text: DOI
Yang, Congmin; Wang, Zaihong On the existence of periodic solutions for Liénard type \(\phi\)-Laplacian equation. (English) Zbl 07818627 Topol. Methods Nonlinear Anal. 62, No. 1, 219-237 (2023). MSC: 34C25 34C15 PDFBibTeX XMLCite \textit{C. Yang} and \textit{Z. Wang}, Topol. Methods Nonlinear Anal. 62, No. 1, 219--237 (2023; Zbl 07818627) Full Text: DOI Link
Hennig, Dirk; Karachalios, Nikos I. Periodic traveling wave solutions of discrete nonlinear Klein-Gordon lattices. (English) Zbl 07816008 Math. Methods Appl. Sci. 46, No. 17, 18400-18419 (2023). MSC: 37K40 37K60 34C15 34A33 PDFBibTeX XMLCite \textit{D. Hennig} and \textit{N. I. Karachalios}, Math. Methods Appl. Sci. 46, No. 17, 18400--18419 (2023; Zbl 07816008) Full Text: DOI arXiv
Kuznetsov, Aleksandr Petrovich; Sedova, Yuliya Viktorovna; Stankevich, Nataliya Vladimirovna Dynamics of three coupled generators of quasi-periodic oscillations. (Russian. English summary) Zbl 07793163 Differ. Uravn. Protsessy Upr. 2023, No. 1, 54-77 (2023). MSC: 34C60 34C15 34C23 34C27 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Differ. Uravn. Protsessy Upr. 2023, No. 1, 54--77 (2023; Zbl 07793163) Full Text: Link
Pérez Rothen, Yocelyn; Vidal, Claudio Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance. (English) Zbl 07781285 Math. Methods Appl. Sci. 46, No. 2, 1964-1989 (2023). MSC: 34C15 34C20 34C23 34C25 PDFBibTeX XMLCite \textit{Y. Pérez Rothen} and \textit{C. Vidal}, Math. Methods Appl. Sci. 46, No. 2, 1964--1989 (2023; Zbl 07781285) Full Text: DOI
Polekhin, I. Yu. A note on forced oscillations in systems on a plane. (English) Zbl 1528.70028 Russ. J. Nonlinear Dyn. 19, No. 3, 383-388 (2023). MSC: 70K40 70K42 70G40 34C25 34C15 PDFBibTeX XMLCite \textit{I. Yu. Polekhin}, Russ. J. Nonlinear Dyn. 19, No. 3, 383--388 (2023; Zbl 1528.70028) Full Text: DOI MNR
Díaz-Marín, Homero G.; Osuna, Osvaldo Stable quasi-periodic orbits of a class of quintic Duffing systems. (English) Zbl 07769974 Rev. Unión Mat. Argent. 65, No. 1, 213-224 (2023). Reviewer: Petro Feketa (Wellington) MSC: 34C15 37C60 34C27 34D20 34C29 42A75 92D30 PDFBibTeX XMLCite \textit{H. G. Díaz-Marín} and \textit{O. Osuna}, Rev. Unión Mat. Argent. 65, No. 1, 213--224 (2023; Zbl 07769974) Full Text: DOI
Thilker, Christian Ankerstjerne; Sørensen, Mads Peter Bringing order to disorder: a method for stabilising a chaotic system around an arbitrary unstable periodic orbit. (English) Zbl 07767788 Physica D 455, Article ID 133905, 7 p. (2023). Reviewer: Jörg Härterich (Bochum) MSC: 37M25 37N35 37C27 37C25 34C15 34H10 65P20 93C15 PDFBibTeX XMLCite \textit{C. A. Thilker} and \textit{M. P. Sørensen}, Physica D 455, Article ID 133905, 7 p. (2023; Zbl 07767788) Full Text: DOI
Guilberteau, Jules Bistability and oscillatory behaviours of cyclic feedback loops. (English) Zbl 1524.92042 Acta Appl. Math. 188, Paper No. 6, 11 p. (2023). MSC: 92C42 92C40 34C15 PDFBibTeX XMLCite \textit{J. Guilberteau}, Acta Appl. Math. 188, Paper No. 6, 11 p. (2023; Zbl 1524.92042) Full Text: DOI arXiv
Zhuang, Yan; Piao, Daxiong; Niu, Yanmin Invariant curves of quasi-periodic reversible mappings and its application. (English) Zbl 07748173 J. Differ. Equations 374, 191-217 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37E40 37E30 37C27 37C55 34C15 PDFBibTeX XMLCite \textit{Y. Zhuang} et al., J. Differ. Equations 374, 191--217 (2023; Zbl 07748173) Full Text: DOI arXiv
Peng, Yaqun; Zhuang, Yan Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials. (English) Zbl 1521.34034 J. Math. Phys. 64, No. 9, Article ID 092704, 14 p. (2023). MSC: 34C11 34C15 37J40 37C27 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{Y. Zhuang}, J. Math. Phys. 64, No. 9, Article ID 092704, 14 p. (2023; Zbl 1521.34034) Full Text: DOI
Ge, Chuanfang; Geng, Jiansheng; Yi, Yingfei Quasi-periodic breathers in granular chains with Hertzian contact potential. (English) Zbl 1527.37081 J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023). MSC: 37K60 37K55 37J40 34C15 70K43 PDFBibTeX XMLCite \textit{C. Ge} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023; Zbl 1527.37081) Full Text: DOI
Yevstafyeva, V. V. Control design for a perturbed system with an ambiguous nonlinearity. (English. Russian original) Zbl 1521.93082 Autom. Remote Control 84, No. 3, 226-239 (2023); translation from Avtom. Telemekh. 2023, No. 3, 44-64 (2023). MSC: 93C15 93C85 93D20 93C10 93C73 PDFBibTeX XMLCite \textit{V. V. Yevstafyeva}, Autom. Remote Control 84, No. 3, 226--239 (2023; Zbl 1521.93082); translation from Avtom. Telemekh. 2023, No. 3, 44--64 (2023) Full Text: DOI
Golubitsky, Martin; Stewart, Ian Dynamics and bifurcation in networks. Theory and applications of coupled differential equations. (English) Zbl 1527.37001 Other Titles in Applied Mathematics 185. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-732-5/hbk; 978-1-61197-733-2/ebook). xxxii, 834 p. (2023). MSC: 37-02 34-02 34C15 34C23 34B45 37G10 37G15 70K50 68M10 68T07 90B10 90B15 90B18 91D30 92B20 92C42 PDFBibTeX XMLCite \textit{M. Golubitsky} and \textit{I. Stewart}, Dynamics and bifurcation in networks. Theory and applications of coupled differential equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2023; Zbl 1527.37001) Full Text: DOI
Yang, Congmin; Xu, Zhihang; Wang, Zaihong On the existence and uniqueness of periodic solution for Rayleigh type \(p\)-Laplacian equation. (English) Zbl 07727249 Adv. Differ. Equ. Control Process. 30, No. 2, 83-95 (2023). MSC: 34C25 34C15 PDFBibTeX XMLCite \textit{C. Yang} et al., Adv. Differ. Equ. Control Process. 30, No. 2, 83--95 (2023; Zbl 07727249) Full Text: DOI
Acharya, Arnab; Jeware, Pratik; Banerjee, Soumitro Objective collapse induced by a macroscopic object. (English) Zbl 1516.34066 Found. Phys. 53, No. 4, Paper No. 68, 11 p. (2023). MSC: 34C23 37G15 34A36 34C15 74M20 PDFBibTeX XMLCite \textit{A. Acharya} et al., Found. Phys. 53, No. 4, Paper No. 68, 11 p. (2023; Zbl 1516.34066) Full Text: DOI
Ma, Zhichao; Xu, Junxiang Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations. (English) Zbl 07719647 Commun. Math. Phys. 402, No. 1, 1-33 (2023). MSC: 37J40 34C15 70H08 70K43 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{J. Xu}, Commun. Math. Phys. 402, No. 1, 1--33 (2023; Zbl 07719647) Full Text: DOI
Hofstrand, Andrew; Li, Huaiyu; Weinstein, Michael I. Discrete breathers of nonlinear dimer lattices: bridging the anti-continuous and continuous limits. (English) Zbl 1521.34013 J. Nonlinear Sci. 33, No. 4, Paper No. 59, 52 p. (2023). Reviewer: Caidi Zhao (Wenzhou) MSC: 34A33 34C25 34C15 34E10 PDFBibTeX XMLCite \textit{A. Hofstrand} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 59, 52 p. (2023; Zbl 1521.34013) Full Text: DOI arXiv
Micena, Fernando Rigidity for some cases of Anosov endomorphisms of torus. (English) Zbl 1522.37045 Discrete Contin. Dyn. Syst. 43, No. 8, 3082-3097 (2023). MSC: 37D20 37D25 37D30 34C15 37C20 PDFBibTeX XMLCite \textit{F. Micena}, Discrete Contin. Dyn. Syst. 43, No. 8, 3082--3097 (2023; Zbl 1522.37045) Full Text: DOI arXiv
Glyzin, S. D.; Kolesov, A. Yu. Self-oscillatory processes in a discrete RCL-line with a tunnel diode. (English. Russian original) Zbl 1528.94122 Theor. Math. Phys. 215, No. 2, 636-651 (2023); translation from Teor. Mat. Fiz. 215, No. 2, 207-224 (2023). MSC: 94C05 34C15 34C10 PDFBibTeX XMLCite \textit{S. D. Glyzin} and \textit{A. Yu. Kolesov}, Theor. Math. Phys. 215, No. 2, 636--651 (2023; Zbl 1528.94122); translation from Teor. Mat. Fiz. 215, No. 2, 207--224 (2023) Full Text: DOI
Chen, Lu A KAM theorem with large twist and finite smooth large perturbation. (English) Zbl 1518.37067 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 101, 31 p. (2023). MSC: 37J40 37J25 34C15 70H08 70K43 PDFBibTeX XMLCite \textit{L. Chen}, Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 101, 31 p. (2023; Zbl 1518.37067) Full Text: DOI arXiv
Zhang, Chunmei; Feng, Yuli; Chen, Huiling The existence and global stability of periodic solutions to coupled oscillators. (English) Zbl 1509.34055 Appl. Anal. 102, No. 1, 38-51 (2023). MSC: 34D20 34C15 PDFBibTeX XMLCite \textit{C. Zhang} et al., Appl. Anal. 102, No. 1, 38--51 (2023; Zbl 1509.34055) Full Text: DOI
Haugland, Sindre W. On coexistence patterns. Hierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling. (English) Zbl 1515.70003 Springer Theses. Cham: Springer; München: TU München (Diss.) (ISBN 978-3-031-21497-4/hbk; 978-3-031-21500-1/pbk; 978-3-031-21498-1/ebook). xix, 325 p. (2023). MSC: 70-02 34-02 34C15 34D06 70K20 70K42 70K50 70K55 37N05 PDFBibTeX XMLCite \textit{S. W. Haugland}, On coexistence patterns. Hierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling. Cham: Springer; München: TU München (Diss.) (2023; Zbl 1515.70003) Full Text: DOI
Ortega, Rafael; Schliessauf, Henrik Recurrent motions in a piecewise linear oscillator. (English) Zbl 1515.37042 Ann. Henri Poincaré 24, No. 2, 697-715 (2023). MSC: 37E40 37B20 37C27 34C15 70K40 PDFBibTeX XMLCite \textit{R. Ortega} and \textit{H. Schliessauf}, Ann. Henri Poincaré 24, No. 2, 697--715 (2023; Zbl 1515.37042) Full Text: DOI
Wang, Jing; Wei, Huijuan; Xu, Xindong Response solutions for quasi-periodically forced harmonic oscillators in Gevrey class. (English) Zbl 1520.34031 J. Differ. Equations 355, 296-333 (2023). Reviewer: Hong-Xu Li (Chengdu) MSC: 34C15 37C60 34C27 37J40 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Differ. Equations 355, 296--333 (2023; Zbl 1520.34031) Full Text: DOI
Yuan, Xiaoping; Chen, Lu; Li, Jing The KAM theorem with a large perturbation and application to the network of Duffing oscillators. (English) Zbl 1514.37083 Sci. China, Math. 66, No. 3, 457-474 (2023). MSC: 37J40 34C15 70K43 70H08 PDFBibTeX XMLCite \textit{X. Yuan} et al., Sci. China, Math. 66, No. 3, 457--474 (2023; Zbl 1514.37083) Full Text: DOI arXiv
Huang, Shengping; Zhang, Jiacheng; Yang, Jianhua; Liu, Houguang; Sanjuán, Miguel A. F. Logical vibrational resonance in a symmetric bistable system: numerical and experimental studies. (English) Zbl 1515.34038 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107123, 15 p. (2023). MSC: 34C15 34C23 70K40 34F05 34C25 34C14 70K30 PDFBibTeX XMLCite \textit{S. Huang} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107123, 15 p. (2023; Zbl 1515.34038) Full Text: DOI
Bonet, Carles; Jeffrey, Mike R.; Martín, Pau; Olm, Josep M. Novel slow-fast behaviour in an oscillator driven by a frequency-switching force. (English) Zbl 1514.34032 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107032, 22 p. (2023). MSC: 34A36 34C15 34E15 34E17 37C60 70K40 34A60 34C25 PDFBibTeX XMLCite \textit{C. Bonet} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107032, 22 p. (2023; Zbl 1514.34032) Full Text: DOI arXiv
Anikushin, Mikhail; Romanov, Andrey Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO. (English) Zbl 1514.37101 Physica D 445, Article ID 133653, 15 p. (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 37M20 37M21 34C15 34C23 37G15 PDFBibTeX XMLCite \textit{M. Anikushin} and \textit{A. Romanov}, Physica D 445, Article ID 133653, 15 p. (2023; Zbl 1514.37101) Full Text: DOI arXiv
Zhang, Yuntian; Cao, Qingjie; Huang, Wenhu Bursting oscillations of the perturbed quasi-zero stiffness system with positive/negative stiffness at origin. (English) Zbl 1511.37102 Physica D 445, Article ID 133643, 28 p. (2023). MSC: 37M20 37C60 37G10 37G15 34C23 34C15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Physica D 445, Article ID 133643, 28 p. (2023; Zbl 1511.37102) Full Text: DOI
Omel’chenko, O. E. Periodic orbits in the Ott-Antonsen manifold. (English) Zbl 1514.34063 Nonlinearity 36, No. 2, 845-861 (2023). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D06 34C25 PDFBibTeX XMLCite \textit{O. E. Omel'chenko}, Nonlinearity 36, No. 2, 845--861 (2023; Zbl 1514.34063) Full Text: DOI arXiv
Choi, Sun-Ho; Seo, Hyowon Exponential asymptotic stability of the Kuramoto system with periodic natural frequencies and constant inertia. (English) Zbl 1511.34053 J. Nonlinear Sci. 33, No. 1, Paper No. 15, 39 p. (2023). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34C25 34D05 34D06 34D20 PDFBibTeX XMLCite \textit{S.-H. Choi} and \textit{H. Seo}, J. Nonlinear Sci. 33, No. 1, Paper No. 15, 39 p. (2023; Zbl 1511.34053) Full Text: DOI
Ginoux, Jean-Marc; Llibre, Jaume A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator. (English) Zbl 1512.37073 J. Geom. Phys. 183, Article ID 104705, 7 p. (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37C27 34C15 34C29 70K65 PDFBibTeX XMLCite \textit{J.-M. Ginoux} and \textit{J. Llibre}, J. Geom. Phys. 183, Article ID 104705, 7 p. (2023; Zbl 1512.37073) Full Text: DOI
Yuan, Qigang; Cheng, Zhibo; Li, Xueping Dynamics of periodic solution to a electrostatic micro-electro-mechanical system. (English) Zbl 1508.34056 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106828, 12 p. (2023). Reviewer: Carlo Laing (Auckland) MSC: 34C60 70G60 34C15 34C23 34C25 PDFBibTeX XMLCite \textit{Q. Yuan} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106828, 12 p. (2023; Zbl 1508.34056) Full Text: DOI
Lee, Ki-Ahm; Lee, Se-Chan Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles. (English) Zbl 1500.35024 Adv. Nonlinear Anal. 12, 266-303 (2023). MSC: 35B27 35B05 35D40 35J25 35J60 35R45 74Q10 PDFBibTeX XMLCite \textit{K.-A. Lee} and \textit{S.-C. Lee}, Adv. Nonlinear Anal. 12, 266--303 (2023; Zbl 1500.35024) Full Text: DOI
Minhós, Feliz; Perestrelo, Sara Periodic second-order systems and coupled forced Van der Pol oscillators. arXiv:2401.05387 Preprint, arXiv:2401.05387 [math.DS] (2023). MSC: 34A34 34A12 34C25 34C15 BibTeX Cite \textit{F. Minhós} and \textit{S. Perestrelo}, ``Periodic second-order systems and coupled forced Van der Pol oscillators'', Preprint, arXiv:2401.05387 [math.DS] (2023) Full Text: arXiv OA License
Novaes, Douglas D.; Silva, Luan V. M. F. A Melnikov analysis on a class of second order discontinuous differential equations. arXiv:2312.02738 Preprint, arXiv:2312.02738 [math.DS] (2023). MSC: 34A36 34C15 34C25 37G15 BibTeX Cite \textit{D. D. Novaes} and \textit{L. V. M. F. Silva}, ``A Melnikov analysis on a class of second order discontinuous differential equations'', Preprint, arXiv:2312.02738 [math.DS] (2023) Full Text: arXiv OA License
Rojas, David Oscillators at resonance. (Catalan) Zbl 1528.34035 Butll. Soc. Catalana Mat. 37, No. 2, 137-172 (2022). MSC: 34C15 34C25 37C60 34C11 70K28 PDFBibTeX XMLCite \textit{D. Rojas}, Butll. Soc. Catalana Mat. 37, No. 2, 137--172 (2022; Zbl 1528.34035) Full Text: Link
Zhang, Yuming Paul On homogenization problems with oscillating Dirichlet conditions in space-time domains. (English) Zbl 1521.35020 J. Lond. Math. Soc., II. Ser. 105, No. 2, 909-949 (2022). MSC: 35B27 35K61 74Q10 PDFBibTeX XMLCite \textit{Y. P. Zhang}, J. Lond. Math. Soc., II. Ser. 105, No. 2, 909--949 (2022; Zbl 1521.35020) Full Text: DOI arXiv
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek Compartmental Poisson stability in non-autonomous differential equations. (English) Zbl 1520.37026 Pinto, Carla M. A. (ed.), Nonlinear dynamics and complexity. Mathematical modelling of real-world problems. Cham: Springer. Nonlinear Syst. Complex. 36, 1-23 (2022). MSC: 37C75 37C27 34C10 34C15 34D20 34D30 34C25 PDFBibTeX XMLCite \textit{M. Akhmet} et al., Nonlinear Syst. Complex. 36, 1--23 (2022; Zbl 1520.37026) Full Text: DOI
Bandera, A.; Fernández-García, S.; Gómez-Mármol, M.; Vidal, A. A multiple timescale network model of intracellular calcium concentrations in coupled neurons: insights from ROM simulations. (English) Zbl 1511.92022 Math. Model. Nat. Phenom. 17, Paper No. 11, 26 p. (2022). MSC: 92C37 92C40 34C15 34C25 34C27 34C28 PDFBibTeX XMLCite \textit{A. Bandera} et al., Math. Model. Nat. Phenom. 17, Paper No. 11, 26 p. (2022; Zbl 1511.92022) Full Text: DOI
Akin’shin, A. A.; Ayupova, N. B.; Golubyatnikov, V. P.; Kirillova, N. E.; Podkolodnaya, O. A.; Podkolodnyĭ, N. L. On one numerical model of a circadian oscillator. (Russian. English summary) Zbl 1516.34077 Sib. Zh. Vychisl. Mat. 25, No. 3, 227-240 (2022); erratum ibid. 25, No. 4, 459 (2022). MSC: 34C60 92C37 34C05 34D20 34C15 PDFBibTeX XMLCite \textit{A. A. Akin'shin} et al., Sib. Zh. Vychisl. Mat. 25, No. 3, 227--240 (2022; Zbl 1516.34077) Full Text: DOI MNR
Ma, Zhichao; Xu, Junxiang Lagrange stability for asymptotic linear Duffing equations. (English) Zbl 1507.34058 J. Math. Phys. 63, No. 10, Article ID 102701, 5 p. (2022). MSC: 34D06 34D05 34C11 34C27 34C15 37J40 37E40 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{J. Xu}, J. Math. Phys. 63, No. 10, Article ID 102701, 5 p. (2022; Zbl 1507.34058) Full Text: DOI
Song, Jin; Han, Xiujing; Zou, Yong; Jiang, Yandan; Bi, Qinsheng Relaxation oscillation patterns induced by amplitude-modulated excitation in the Duffing system. (English) Zbl 1508.34036 Chaos Solitons Fractals 164, Article ID 112555, 6 p. (2022). MSC: 34C15 34C25 PDFBibTeX XMLCite \textit{J. Song} et al., Chaos Solitons Fractals 164, Article ID 112555, 6 p. (2022; Zbl 1508.34036) Full Text: DOI
Lee, Ki-Ahm; Lee, Se-Chan Random homogenization of \(\varphi\)-Laplacian equations with highly oscillating obstacles. (English) Zbl 1507.35020 Indiana Univ. Math. J. 71, No. 6, 2377-2410 (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35B05 35J87 35R60 74Q10 PDFBibTeX XMLCite \textit{K.-A. Lee} and \textit{S.-C. Lee}, Indiana Univ. Math. J. 71, No. 6, 2377--2410 (2022; Zbl 1507.35020) Full Text: DOI
Shah, Aarohi; Rimoli, Julian J. Data-driven approach for dynamic homogenization using meta learning. (English) Zbl 1507.74362 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115672, 33 p. (2022). MSC: 74Q10 68T07 PDFBibTeX XMLCite \textit{A. Shah} and \textit{J. J. Rimoli}, Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115672, 33 p. (2022; Zbl 1507.74362) Full Text: DOI
Ma, Wei; Mapuranga, Tafara; Zhang, Jiguang; Ding, Hejiang; Chen, Jiandong; Zhang, Xiao Bifurcation and path-following analysis of periodic orbits of a Fermi oscillator model. (English) Zbl 1507.37117 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250179, 26 p. (2022). MSC: 37M20 37G15 34C15 PDFBibTeX XMLCite \textit{W. Ma} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250179, 26 p. (2022; Zbl 1507.37117) Full Text: DOI
Han, Qianqian; Deng, Bo; Yang, Xiao-Song The existence of \( \omega \)-limit set for a modified Nosé-Hoover oscillator. (English) Zbl 1510.34066 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7275-7300 (2022). Reviewer: Eduard Musafirov (Grodno) MSC: 34C15 34C45 34C05 37D45 65P20 34D05 PDFBibTeX XMLCite \textit{Q. Han} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7275--7300 (2022; Zbl 1510.34066) Full Text: DOI
Stewart, Ian Overdetermined ODEs and rigid periodic states in network dynamics. (English) Zbl 1511.34061 Port. Math. 79, No. 1-2, 85-161 (2022). Reviewer: Cristina Pignotti (L’Aquila) MSC: 34D06 34C25 05C99 34C15 34C05 PDFBibTeX XMLCite \textit{I. Stewart}, Port. Math. 79, No. 1--2, 85--161 (2022; Zbl 1511.34061) Full Text: DOI arXiv
Yamgoué, Serge Bruno; Nana, Bonaventure; Pelap, François Béceau Accurate explicit analytical solutions of the Duffing-harmonic oscillator equation using nonlinear time transformation. (English) Zbl 1505.34058 J. Appl. Nonlinear Dyn. 11, No. 4, 951-962 (2022). MSC: 34C15 34B30 34A45 34C20 34C25 34A05 PDFBibTeX XMLCite \textit{S. B. Yamgoué} et al., J. Appl. Nonlinear Dyn. 11, No. 4, 951--962 (2022; Zbl 1505.34058) Full Text: DOI
Bak, Sergiy Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice. (English) Zbl 1505.34025 Acta Math. Univ. Comen., New Ser. 91, No. 3, 225-234 (2022). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 34A33 34C15 34K13 PDFBibTeX XMLCite \textit{S. Bak}, Acta Math. Univ. Comen., New Ser. 91, No. 3, 225--234 (2022; Zbl 1505.34025) Full Text: Link
Glyzin, S. D.; Kolesov, A. Yu. Periodic two-cluster synchronization modes in fully coupled networks of nonlinear oscillators. (English. Russian original) Zbl 1516.34061 Theor. Math. Phys. 212, No. 2, 1073-1091 (2022); translation from Teor. Mat. Fiz. 212, No. 2, 213-233 (2022). MSC: 34C15 34D06 PDFBibTeX XMLCite \textit{S. D. Glyzin} and \textit{A. Yu. Kolesov}, Theor. Math. Phys. 212, No. 2, 1073--1091 (2022; Zbl 1516.34061); translation from Teor. Mat. Fiz. 212, No. 2, 213--233 (2022) Full Text: DOI
Xia, Chenyang; Wang, Zhenhui; Cheng, Zhibo Positive periodic solutions for a damped Duffing equation with singularity of attractive type. (Chinese. English summary) Zbl 1513.34163 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 131-138 (2022). MSC: 34C25 34C15 34B30 37C60 47N20 PDFBibTeX XMLCite \textit{C. Xia} et al., Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 131--138 (2022; Zbl 1513.34163) Full Text: Link
Yousefzadeh, Behrooz Computation of nonreciprocal dynamics in nonlinear materials. (English) Zbl 1501.37085 J. Comput. Dyn. 9, No. 3, 451-464 (2022). MSC: 37N15 37M20 34C15 37C25 74H45 PDFBibTeX XMLCite \textit{B. Yousefzadeh}, J. Comput. Dyn. 9, No. 3, 451--464 (2022; Zbl 1501.37085) Full Text: DOI
Belfar, Ahlam; Benterki, Rebiha Qualitative dynamics of quadratic systems exhibiting reducible invariant algebraic curve of degree 3. (English) Zbl 1490.34043 Palest. J. Math. 11, Spec. Iss. II, 1-12 (2022). MSC: 34C15 34C25 PDFBibTeX XMLCite \textit{A. Belfar} and \textit{R. Benterki}, Palest. J. Math. 11, 1--12 (2022; Zbl 1490.34043) Full Text: Link
Rayimbaev, Javlon; Bardiev, Dilshodbek; Abdujabbarov, Ahmadjon; Turaev, Yunus; Stuchlík, Zdeněk Quasi-periodic oscillation around regular Bardeen black holes in 4D Einstein-Gauss-Bonnet gravity. (English) Zbl 1514.83009 Int. J. Mod. Phys. D 31, No. 2, Article ID 2250004, 19 p. (2022). MSC: 83C10 83C57 83D05 PDFBibTeX XMLCite \textit{J. Rayimbaev} et al., Int. J. Mod. Phys. D 31, No. 2, Article ID 2250004, 19 p. (2022; Zbl 1514.83009) Full Text: DOI
Chen, Hebai; Tang, Yilei; Wang, Zhaoxia The discontinuous limit case of an archetypal oscillator with a constant excitation and van der Pol damping. (English) Zbl 1504.37060 Physica D 438, Article ID 133362, 40 p. (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 37G10 37G15 34C15 PDFBibTeX XMLCite \textit{H. Chen} et al., Physica D 438, Article ID 133362, 40 p. (2022; Zbl 1504.37060) Full Text: DOI
Kulikov, D. A. Dynamics of coupled Van der Pol oscillators. (English. Russian original) Zbl 1504.34090 J. Math. Sci., New York 262, No. 6, 817-824 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 53-60 (2019). Reviewer: Zhanyuan Hou (London) MSC: 34C15 34C05 34C20 34D06 PDFBibTeX XMLCite \textit{D. A. Kulikov}, J. Math. Sci., New York 262, No. 6, 817--824 (2022; Zbl 1504.34090); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 53--60 (2019) Full Text: DOI
Polekhin, I. Yu. The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum. (English. Russian original) Zbl 1515.70029 Theor. Math. Phys. 211, No. 2, 692-700 (2022); translation from Teor. Mat. Fiz. 211, No. 2, 295-305 (2022). MSC: 70K42 70K40 34C15 PDFBibTeX XMLCite \textit{I. Yu. Polekhin}, Theor. Math. Phys. 211, No. 2, 692--700 (2022; Zbl 1515.70029); translation from Teor. Mat. Fiz. 211, No. 2, 295--305 (2022) Full Text: DOI
Wang, Shuai; Li, Yong; Yang, Xue Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling. (English) Zbl 1498.34113 Physica D 434, Article ID 133208, 22 p. (2022). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D06 34C23 34C14 34C25 PDFBibTeX XMLCite \textit{S. Wang} et al., Physica D 434, Article ID 133208, 22 p. (2022; Zbl 1498.34113) Full Text: DOI
Ostrovsky, Lev Slowly varying oscillations and waves. From basics to modernity. (English) Zbl 1496.35003 Beijing: Higher Education Press; Singapore: World Scientific (ISBN 978-981-12-4748-4/hbk; 978-981-12-4750-7/ebook). xxiii, 347 p. (2022). MSC: 35-02 34C15 34C26 34D06 34E20 35C08 35C10 35B15 35B20 35C20 PDFBibTeX XMLCite \textit{L. Ostrovsky}, Slowly varying oscillations and waves. From basics to modernity. Beijing: Higher Education Press; Singapore: World Scientific (2022; Zbl 1496.35003) Full Text: DOI
Polekhin, Ivan Yu. The spherical Kapitza-Whitney pendulum. (English) Zbl 1484.34110 Regul. Chaotic Dyn. 27, No. 1, 65-76 (2022). MSC: 34C29 70K65 34C25 PDFBibTeX XMLCite \textit{I. Yu. Polekhin}, Regul. Chaotic Dyn. 27, No. 1, 65--76 (2022; Zbl 1484.34110) Full Text: DOI arXiv
Ma, Xindong; Bi, Qinsheng; Wang, Lifeng Complex periodic bursting structures in the Rayleigh-van der Pol-Duffing oscillator. (English) Zbl 1496.37045 J. Nonlinear Sci. 32, No. 2, Paper No. 25, 23 p. (2022). MSC: 37G10 34C15 34C23 70K20 70K50 70K70 PDFBibTeX XMLCite \textit{X. Ma} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 25, 23 p. (2022; Zbl 1496.37045) Full Text: DOI
Kuznetsov, Alexander P.; Sataev, Igor R.; Turukina, Ludmila V. Regional structure of two- and three-frequency regimes in a model of four phase oscillators. (English) Zbl 1494.34116 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2230008, 9 p. (2022). MSC: 34C15 34D06 34C23 34C46 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2230008, 9 p. (2022; Zbl 1494.34116) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu. Traveling waves in fully coupled networks of linear oscillators. (English. Russian original) Zbl 1503.34086 Comput. Math. Math. Phys. 62, No. 1, 66-83 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 71-89 (2022). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C15 34K13 34K20 34K25 34C05 34D20 34E10 PDFBibTeX XMLCite \textit{S. D. Glyzin} and \textit{A. Yu. Kolesov}, Comput. Math. Math. Phys. 62, No. 1, 66--83 (2022; Zbl 1503.34086); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 71--89 (2022) Full Text: DOI
Wang, Kang-Le Novel approach for fractal nonlinear oscillators with discontinuities by Fourier series. (English) Zbl 1502.34026 Fractals 30, No. 1, Article ID 2250009, 8 p. (2022). MSC: 34A36 34C15 34C25 42A16 PDFBibTeX XMLCite \textit{K.-L. Wang}, Fractals 30, No. 1, Article ID 2250009, 8 p. (2022; Zbl 1502.34026) Full Text: DOI
Isojima, Shin; Suzuki, Seiichiro Ultradiscrete analogue of the van der Pol equation. (English) Zbl 1495.37015 Nonlinearity 35, No. 3, 1468-1484 (2022). MSC: 37B15 39A12 39A23 34C15 PDFBibTeX XMLCite \textit{S. Isojima} and \textit{S. Suzuki}, Nonlinearity 35, No. 3, 1468--1484 (2022; Zbl 1495.37015) Full Text: DOI
Kumarasamy, Suresh; Srinivasan, Sabarathinam; Gogoi, Pragjyotish Bhuyan; Prasad, Awadhesh Emergence of extreme events in coupled systems with time-dependent interactions. (English) Zbl 1496.34070 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106170, 13 p. (2022). Reviewer: Alexander Prokopenya (Warszawa) MSC: 34C15 34D05 34C25 37C60 34D20 PDFBibTeX XMLCite \textit{S. Kumarasamy} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106170, 13 p. (2022; Zbl 1496.34070) Full Text: DOI
Omel’chenko, O. E. Mathematical framework for breathing Chimera states. (English) Zbl 1489.34059 J. Nonlinear Sci. 32, No. 2, Paper No. 22, 34 p. (2022). MSC: 34C15 34D05 34D06 34B30 45J05 PDFBibTeX XMLCite \textit{O. E. Omel'chenko}, J. Nonlinear Sci. 32, No. 2, Paper No. 22, 34 p. (2022; Zbl 1489.34059) Full Text: DOI arXiv
Sari, Nadir Solutions of slowly and periodically varying differential equations. Applications to some classical examples. (English) Zbl 1487.34114 J. Math. Anal. Appl. 507, No. 2, Article ID 125822, 18 p. (2022). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34C25 37C60 70K40 PDFBibTeX XMLCite \textit{N. Sari}, J. Math. Anal. Appl. 507, No. 2, Article ID 125822, 18 p. (2022; Zbl 1487.34114) Full Text: DOI HAL
Choi, Sun-Ho; Seo, Hyowon Asymptotic behavior of the Kuramoto system with periodic natural frequency. (English) Zbl 1489.34057 J. Differ. Equations 308, 160-187 (2022). Reviewer: Guy Katriel (Haifa) MSC: 34C15 37C60 34C25 34D06 34D05 PDFBibTeX XMLCite \textit{S.-H. Choi} and \textit{H. Seo}, J. Differ. Equations 308, 160--187 (2022; Zbl 1489.34057) Full Text: DOI
Bhuvaneshwari, B.; Priyatharsini, S. Valli; Chinnathambi, V.; Rajasekar, S. Dynamics of nonlinearly damped Duffing-Van der Pol oscillator driven by frequency modulated signal. (English) Zbl 1524.34092 Nonlinear Dyn. Syst. Theory 21, No. 5, 471-480 (2021). MSC: 34C15 34C55 34C25 37C60 70K40 70K50 70K55 34C28 PDFBibTeX XMLCite \textit{B. Bhuvaneshwari} et al., Nonlinear Dyn. Syst. Theory 21, No. 5, 471--480 (2021; Zbl 1524.34092) Full Text: Link
Faydaoğlu, Ş.; Öziş, T. Periodic solutions for certain non-smooth oscillators with high nonlinearities. (English) Zbl 1506.34052 Appl. Comput. Math. 20, No. 3, 366-380 (2021). MSC: 34C15 34A45 34C25 PDFBibTeX XMLCite \textit{Ş. Faydaoğlu} and \textit{T. Öziş}, Appl. Comput. Math. 20, No. 3, 366--380 (2021; Zbl 1506.34052) Full Text: Link
Hakimi, A. R.; Azhdari, M.; Binazadeh, T. Limit cycle oscillator in nonlinear systems with multiple time delays. (English) Zbl 1498.34182 Chaos Solitons Fractals 153, Part 2, Article ID 111454, 8 p. (2021). MSC: 34K13 34K20 PDFBibTeX XMLCite \textit{A. R. Hakimi} et al., Chaos Solitons Fractals 153, Part 2, Article ID 111454, 8 p. (2021; Zbl 1498.34182) Full Text: DOI
Kenmogne, Fabien; Noubissie, Samuel; Ndombou, Guy Bertrand; Tebue, Eric Tala; Sonna, Armel Viquit; Yemélé, David Dynamics of two models of driven extended jerk oscillators: chaotic pulse generations and application in engineering. (English) Zbl 1504.34112 Chaos Solitons Fractals 152, Article ID 111291, 17 p. (2021). MSC: 34C60 94C60 34C15 37C60 34C05 34D20 34C28 34C25 PDFBibTeX XMLCite \textit{F. Kenmogne} et al., Chaos Solitons Fractals 152, Article ID 111291, 17 p. (2021; Zbl 1504.34112) Full Text: DOI
Haque, B. M. Ikramul; Hossain, M. M. Ayub An effective solution of the cube-root truly nonlinear oscillator: extended iteration procedure. (English) Zbl 1497.34031 Int. J. Differ. Equ. 2021, Article ID 7819209, 11 p. (2021). MSC: 34A45 34C15 34C25 PDFBibTeX XMLCite \textit{B. M. I. Haque} and \textit{M. M. A. Hossain}, Int. J. Differ. Equ. 2021, Article ID 7819209, 11 p. (2021; Zbl 1497.34031) Full Text: DOI
Gowthaman, I.; Singh, Uday; Chandrasekar, V. K.; Senthilkumar, D. V. Dynamical robustness in a heterogeneous network of globally coupled nonlinear oscillators. (English) Zbl 1496.34069 Chaos Solitons Fractals 142, Article ID 110396, 6 p. (2021). MSC: 34C15 37G15 PDFBibTeX XMLCite \textit{I. Gowthaman} et al., Chaos Solitons Fractals 142, Article ID 110396, 6 p. (2021; Zbl 1496.34069) Full Text: DOI
Grechko, D. A.; Barabash, N. V.; Belykh, V. N. Homoclinic orbits and chaos in nonlinear dynamical systems: auxiliary systems method. (English) Zbl 1496.37021 Lobachevskii J. Math. 42, No. 14, 3365-3371 (2021). MSC: 37C29 37G15 34C15 PDFBibTeX XMLCite \textit{D. A. Grechko} et al., Lobachevskii J. Math. 42, No. 14, 3365--3371 (2021; Zbl 1496.37021) Full Text: DOI
He, Ji-Huan On the frequency-amplitude formulation for nonlinear oscillators with general initial conditions. (English) Zbl 1492.34035 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 111, 5 p. (2021). MSC: 34C15 34C25 PDFBibTeX XMLCite \textit{J.-H. He}, Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 111, 5 p. (2021; Zbl 1492.34035) Full Text: DOI
Roopnarain, Ryan; Choudhury, S. Roy Delay effects on amplitude death, oscillation death, and renewed limit cycle behavior in cyclically coupled oscillators. (English) Zbl 1498.34184 J. Appl. Nonlinear Dyn. 10, No. 3, 431-459 (2021). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34K13 34K18 34K21 34C15 PDFBibTeX XMLCite \textit{R. Roopnarain} and \textit{S. R. Choudhury}, J. Appl. Nonlinear Dyn. 10, No. 3, 431--459 (2021; Zbl 1498.34184) Full Text: DOI arXiv
He, Ji-Huan; Kou, Shuai-Jia; He, Chun-Hui; Zhang, Zuo-Wei; Gepreel, Khaled A. Fractal oscillation and its frequency-amplitude property. (English) Zbl 1489.34014 Fractals 29, No. 4, Article ID 2150105, 9 p. (2021). MSC: 34A08 34C15 34B30 34C25 34D05 PDFBibTeX XMLCite \textit{J.-H. He} et al., Fractals 29, No. 4, Article ID 2150105, 9 p. (2021; Zbl 1489.34014) Full Text: DOI
Kristiansen, Kristian U. A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. (English) Zbl 1501.34020 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2359-2390 (2021). MSC: 34A36 34C15 34E15 34C25 34E17 34C28 37N15 70E18 70K40 70F40 PDFBibTeX XMLCite \textit{K. U. Kristiansen}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2359--2390 (2021; Zbl 1501.34020) Full Text: DOI arXiv
Kadyrov, Shirali; Kashkynbayev, Ardak; Skrzypacz, Piotr; Kaloudis, Konstantinos; Bountis, Anastassios Periodic solutions and the avoidance of pull-in instability in nonautonomous microelectromechanical systems. (English) Zbl 1484.37101 Math. Methods Appl. Sci. 44, No. 18, 14556-14568 (2021). MSC: 37N15 37G15 37C60 34C15 74M25 PDFBibTeX XMLCite \textit{S. Kadyrov} et al., Math. Methods Appl. Sci. 44, No. 18, 14556--14568 (2021; Zbl 1484.37101) Full Text: DOI arXiv
Liu, Guang; Liu, Ji-ke; Wang, Li; Lu, Zhong-rong A new semi-analytical approach for quasi-periodic vibrations of nonlinear systems. (English) Zbl 1482.34114 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105999, 15 p. (2021). MSC: 34C27 34C15 34A45 37C60 70K40 42A16 PDFBibTeX XMLCite \textit{G. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105999, 15 p. (2021; Zbl 1482.34114) Full Text: DOI
Ma, Xindong; Jiang, Wenan; Yu, Yue Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation. (English) Zbl 1482.34113 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105959, 14 p. (2021). MSC: 34C26 34B30 37C60 34C23 34C25 34E15 70K30 PDFBibTeX XMLCite \textit{X. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105959, 14 p. (2021; Zbl 1482.34113) Full Text: DOI
Xu, Yian; Asadi-Zeydabadi, Masoud; Tagg, Randall; Shindell, Orrin Universality in kinetic models of circadian rhythms in Arabidopsis thaliana. (English) Zbl 1484.37115 J. Math. Biol. 83, No. 5, Paper No. 51, 11 p. (2021). Reviewer: Junliang Lu (Kunming) MSC: 37N25 37G10 37G15 37M20 34C15 92B25 92D10 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Math. Biol. 83, No. 5, Paper No. 51, 11 p. (2021; Zbl 1484.37115) Full Text: DOI arXiv
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
Gavrilov, Lubomir; Gargouri, Ameni; Ben Hamed, Bassem Special cubic perturbations of the Duffing oscillator \(x''=x-x^3\) near the eight-loop. (English) Zbl 1523.37062 Mediterr. J. Math. 18, No. 6, Paper No. 229, 15 p. (2021). MSC: 37G15 34C07 34C05 34C15 34C23 34D10 PDFBibTeX XMLCite \textit{L. Gavrilov} et al., Mediterr. J. Math. 18, No. 6, Paper No. 229, 15 p. (2021; Zbl 1523.37062) Full Text: DOI arXiv
Big-Alabo, Akuro; Ossia, Chinwuba Victor; Ekpruke, Emmanuel Ogheneochuko Exact analytical solution of a mechanical oscillator for phase transition involving spatially inhomogeneous distribution of the order parameter. (English) Zbl 1481.34004 Math. Methods Appl. Sci. 44, No. 16, 12317-12331 (2021). MSC: 34A05 34C15 34C25 33C75 PDFBibTeX XMLCite \textit{A. Big-Alabo} et al., Math. Methods Appl. Sci. 44, No. 16, 12317--12331 (2021; Zbl 1481.34004) 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
Kalyakin, L. A. On the frequency of a nonlinear oscillator. (English. Russian original) Zbl 1487.34096 J. Math. Sci., New York 258, No. 1, 13-22 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 15-24 (2019). Reviewer: Zaihong Wang (Beijing) MSC: 34C15 34C25 34E10 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, J. Math. Sci., New York 258, No. 1, 13--22 (2021; Zbl 1487.34096); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 15--24 (2019) Full Text: DOI