Zhu, Ping Stationary statistical properties of nonlinear energy harvesting system under high-pass filter. (English) Zbl 07809318 Chin. J. Phys., Taipei 54, No. 4, 545-554 (2016). MSC: 78A55 60G35 78A35 PDFBibTeX XMLCite \textit{P. Zhu}, Chin. J. Phys., Taipei 54, No. 4, 545--554 (2016; Zbl 07809318) Full Text: DOI
Spandonide, Anca; Tiriba, Gabriela; Niculescu, Ecaterina Cornelia Simultaneous effects of intense laser and static electric fields on the oscillator strength in an impurity doped disc-like quantum DOT. (English) Zbl 1513.78014 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 78, No. 4, 307-320 (2016). MSC: 78A60 78A30 78A35 78A50 81V80 35Q60 82D37 81V65 PDFBibTeX XMLCite \textit{A. Spandonide} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 78, No. 4, 307--320 (2016; Zbl 1513.78014)
Parovik, Roman I. Explicit finite-difference scheme for the numerical solution of the model equation of nonlinear hereditary oscillator with variable-order fractional derivatives. (English) Zbl 1457.65034 Arch. Control Sci. 26, No. 3, 429-435 (2016). MSC: 65L12 34A08 65L05 65L20 PDFBibTeX XMLCite \textit{R. I. Parovik}, Arch. Control Sci. 26, No. 3, 429--435 (2016; Zbl 1457.65034) Full Text: DOI
Yao, Chenggui; Ma, Jun; Li, Chuan; He, Zhiwei The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator. (English) Zbl 1510.34073 Commun. Nonlinear Sci. Numer. Simul. 39, 99-107 (2016). MSC: 34C15 92C20 93B52 PDFBibTeX XMLCite \textit{C. Yao} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 99--107 (2016; Zbl 1510.34073) Full Text: DOI
Li, Xianghong; Hou, Jingyu; Chen, Jufeng An analytical method for Mathieu oscillator based on method of variation of parameter. (English) Zbl 1473.34031 Commun. Nonlinear Sci. Numer. Simul. 37, 326-353 (2016). MSC: 34C15 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 37, 326--353 (2016; Zbl 1473.34031) Full Text: DOI
Ramlan, Roszaidi; Brennan, Michael J.; Kovacic, Ivana; Mace, Brian R.; Burrow, Stephen G. Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator. (English) Zbl 1473.34032 Commun. Nonlinear Sci. Numer. Simul. 37, 282-291 (2016). MSC: 34C15 PDFBibTeX XMLCite \textit{R. Ramlan} et al., Commun. Nonlinear Sci. Numer. Simul. 37, 282--291 (2016; Zbl 1473.34032) Full Text: DOI Link
Han, Ning; Cao, Qingjie Global bifurcations of a rotating pendulum with irrational nonlinearity. (English) Zbl 1473.70052 Commun. Nonlinear Sci. Numer. Simul. 36, 431-445 (2016). MSC: 70K50 37G15 70E17 PDFBibTeX XMLCite \textit{N. Han} and \textit{Q. Cao}, Commun. Nonlinear Sci. Numer. Simul. 36, 431--445 (2016; Zbl 1473.70052) Full Text: DOI
Kovacic, Ivana On the response of antisymmetric constant force oscillators: exact and approximate solutions. (English) Zbl 1510.70039 Commun. Nonlinear Sci. Numer. Simul. 32, 305-316 (2016). MSC: 70F40 34C15 PDFBibTeX XMLCite \textit{I. Kovacic}, Commun. Nonlinear Sci. Numer. Simul. 32, 305--316 (2016; Zbl 1510.70039) Full Text: DOI
Yu, Yue; Zhang, Zhengdi; Bi, Qinsheng; Gao, Yanbo Bifurcation analysis on delay-induced bursting in a shape memory alloy oscillator with time delay feedback. (English) Zbl 1446.74138 Appl. Math. Modelling 40, No. 3, 1816-1824 (2016). MSC: 74H60 34C15 34K18 93B52 PDFBibTeX XMLCite \textit{Y. Yu} et al., Appl. Math. Modelling 40, No. 3, 1816--1824 (2016; Zbl 1446.74138) Full Text: DOI
Fiori, Simone Nonlinear damped oscillators on Riemannian manifolds: fundamentals. (English) Zbl 1417.34101 J. Syst. Sci. Complex. 29, No. 1, 22-40 (2016). MSC: 34C40 34C15 70G45 PDFBibTeX XMLCite \textit{S. Fiori}, J. Syst. Sci. Complex. 29, No. 1, 22--40 (2016; Zbl 1417.34101) Full Text: DOI
Guo, Feng; Zhu, Cheng-Yin; Cheng, Xiao-Feng; Li, Heng Stochastic resonance in a fractional harmonic oscillator subject to random mass and signal-modulated noise. (English) Zbl 1400.70031 Physica A 459, 86-91 (2016). MSC: 70K30 34F15 PDFBibTeX XMLCite \textit{F. Guo} et al., Physica A 459, 86--91 (2016; Zbl 1400.70031) Full Text: DOI
Li, Ying; Liu, Zengrong Coupling mechanism in the gate and oscillator model of the SCN. (English) Zbl 1400.92098 Physica A 457, 62-72 (2016). MSC: 92C20 34C15 92B25 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Z. Liu}, Physica A 457, 62--72 (2016; Zbl 1400.92098) Full Text: DOI
Kalloniatis, Alexander C.; Zuparic, Mathew L. Fixed points and stability in the two-network frustrated Kuramoto model. (English) Zbl 1400.34056 Physica A 447, 21-35 (2016). MSC: 34C15 34D06 34H05 PDFBibTeX XMLCite \textit{A. C. Kalloniatis} and \textit{M. L. Zuparic}, Physica A 447, 21--35 (2016; Zbl 1400.34056) Full Text: DOI arXiv
Kim, V. A. Duffing oscillator with an external harmonic action and a variable Riemann-Liouville fractional-order derivate characterizing viscious friction. (Russian. English summary) Zbl 1413.34030 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 50-54 (2016). MSC: 34A08 34C15 PDFBibTeX XMLCite \textit{V. A. Kim}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 50--54 (2016; Zbl 1413.34030) Full Text: MNR
Drobysheva, I. V. Mathematical modeling of nonlinear hereditary oscillators on an example of a Duffing oscillator with fractional derivatives in the sense of Riemann-Liouville. (Russian. English summary) Zbl 1413.34015 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 43-49 (2016). MSC: 34A08 34C15 PDFBibTeX XMLCite \textit{I. V. Drobysheva}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 43--49 (2016; Zbl 1413.34015) Full Text: MNR
Luo, A. C. J.; Xing, S. Analytical predictions of period-1 motions to chaos in a periodically driven quadratic nonlinear oscillator with a time-delay. (English) Zbl 1385.34049 Math. Model. Nat. Phenom. 11, No. 2, 75-88 (2016). MSC: 34K28 34C15 34K18 34K23 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{S. Xing}, Math. Model. Nat. Phenom. 11, No. 2, 75--88 (2016; Zbl 1385.34049) Full Text: DOI
Chou, Chia-Chun Dissipative quantum trajectories in complex space: damped harmonic oscillator. (English) Zbl 1380.81102 Ann. Phys. 373, 325-345 (2016). MSC: 81Q05 35Q55 35C08 PDFBibTeX XMLCite \textit{C.-C. Chou}, Ann. Phys. 373, 325--345 (2016; Zbl 1380.81102) Full Text: DOI
Crespo, F.; Díaz-Toca, G.; Ferrer, S.; Lara, M. Poisson and symplectic reductions of 4-DOF isotropic oscillators. The van der Waals system as benchmark. (English) Zbl 1379.37103 Appl. Math. Nonlinear Sci. 1, No. 2, 473-492 (2016). MSC: 37J15 37J40 34C15 53D20 PDFBibTeX XMLCite \textit{F. Crespo} et al., Appl. Math. Nonlinear Sci. 1, No. 2, 473--492 (2016; Zbl 1379.37103) Full Text: DOI arXiv
Amador, Gabriel; Colon, Kiara; Luna, Nathalie; Mercado, Gerardo; Pereira, Enrique; Suazo, Erwin On solutions for linear and nonlinear Schrödinger equations with variable coefficients: A computational approach. (English) Zbl 1373.35282 Symmetry 8, No. 6, Article ID 38, 16 p. (2016). MSC: 35Q55 35Q41 35C08 PDFBibTeX XMLCite \textit{G. Amador} et al., Symmetry 8, No. 6, Article ID 38, 16 p. (2016; Zbl 1373.35282) Full Text: DOI
Belhaq, Mohamed; Hamdi, Mustapha Energy harvesting from quasi-periodic vibrations. (English) Zbl 1452.70019 Nonlinear Dyn. 86, No. 4, 2193-2205 (2016). MSC: 70K40 70K43 74F15 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{M. Hamdi}, Nonlinear Dyn. 86, No. 4, 2193--2205 (2016; Zbl 1452.70019) Full Text: DOI
Hao, Zhifeng; Cao, Qingjie; Wiercigroch, Marian Two-sided damping constraint control strategy for high-performance vibration isolation and end-stop impact protection. (English) Zbl 1452.70029 Nonlinear Dyn. 86, No. 4, 2129-2144 (2016). MSC: 70Q05 34H20 34C15 PDFBibTeX XMLCite \textit{Z. Hao} et al., Nonlinear Dyn. 86, No. 4, 2129--2144 (2016; Zbl 1452.70029) Full Text: DOI
Beléndez, A.; Beléndez, T.; Martínez, F. J.; Pascual, C.; Alvarez, M. L.; Arribas, E. Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities. (English) Zbl 1371.34057 Nonlinear Dyn. 86, No. 3, 1687-1700 (2016). MSC: 34C25 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Nonlinear Dyn. 86, No. 3, 1687--1700 (2016; Zbl 1371.34057) Full Text: DOI Link
Kuwabara, Hirosuke; Yumibayashi, Tsukasa; Harada, Hiromitsu Time-dependent Pais-Uhlenbeck oscillator and its decomposition. (English) Zbl 1372.34070 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-31755-7/hbk; 978-3-319-31756-4/ebook). Trends in Mathematics, 255-260 (2016). MSC: 34C15 70H50 70H15 PDFBibTeX XMLCite \textit{H. Kuwabara} et al., in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 255--260 (2016; Zbl 1372.34070) Full Text: DOI arXiv
Wang, Dan; Chen, Yushu; Wiercigroch, M.; Cao, Qingjie Bifurcation and dynamic response analysis of rotating blade excited by upstream vortices. (English) Zbl 1367.70048 AMM, Appl. Math. Mech., Engl. Ed. 37, No. 9, 1251-1274 (2016). MSC: 70K30 70K50 PDFBibTeX XMLCite \textit{D. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 37, No. 9, 1251--1274 (2016; Zbl 1367.70048) Full Text: DOI Link
Pereguda, O. V.; Kovtun, O. I. The behaviour of solutions of a system of two damped stochastic oscillators. (Ukrainian. English summary) Zbl 1374.34227 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 2, 15-18 (2016). MSC: 34F05 34C15 60H10 34D05 34A30 PDFBibTeX XMLCite \textit{O. V. Pereguda} and \textit{O. I. Kovtun}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 2, 15--18 (2016; Zbl 1374.34227)
Zhogoleva, N. V.; Shcherbak, V. F. Identification of characteristics of coupled oscillators. (Russian. English summary) Zbl 1374.93105 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 84, 22-30 (2016). MSC: 93B30 34C15 93B07 PDFBibTeX XMLCite \textit{N. V. Zhogoleva} and \textit{V. F. Shcherbak}, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 84, 22--30 (2016; Zbl 1374.93105) Full Text: Link
Qizheng, Zhou; Deshi, Wang Limit cycles and acoustic radiation analysis of a van der Pol oscillator-plate-medium system. (English) Zbl 1365.74093 J. Vib. Control 22, No. 11, 2632-2644 (2016). MSC: 74H45 74K15 74F10 70K05 PDFBibTeX XMLCite \textit{Z. Qizheng} and \textit{W. Deshi}, J. Vib. Control 22, No. 11, 2632--2644 (2016; Zbl 1365.74093) Full Text: DOI
Liu, Qx; Liu, Jk; Chen, Ym Initial conditions-independent limit cycles of a fractional-order van der Pol oscillator. (English) Zbl 1365.34014 J. Vib. Control 22, No. 8, 2135-2146 (2016). MSC: 34A08 70K05 34D05 34D20 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Vib. Control 22, No. 8, 2135--2146 (2016; Zbl 1365.34014) Full Text: DOI
Ashwin, Peter; Rodrigues, Ana Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators. (English) Zbl 1364.34041 Physica D 325, 14-24 (2016). MSC: 34C15 34C23 37G40 34C60 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{A. Rodrigues}, Physica D 325, 14--24 (2016; Zbl 1364.34041) Full Text: DOI arXiv
Wang, Wanyong; Chen, Lijuan; Guo, Jing Analysis of 1:3 resonant double Hopf bifurcation by using the method of multiple scales. (Chinese. English summary) Zbl 1374.34132 J. Zhengzhou Univ., Nat. Sci. Ed. 48, No. 3, 23-27 (2016). MSC: 34C23 34C15 34E13 34C25 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Zhengzhou Univ., Nat. Sci. Ed. 48, No. 3, 23--27 (2016; Zbl 1374.34132) Full Text: DOI
Luo, Albert C. J.; Xing, Siyuan Multiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillator. (English) Zbl 1360.34146 Chaos Solitons Fractals 89, 405-434 (2016). MSC: 34K18 34K07 34K11 37G15 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{S. Xing}, Chaos Solitons Fractals 89, 405--434 (2016; Zbl 1360.34146) Full Text: DOI
Volos, Ch. K.; Pham, V.-T.; Vaidyanathan, S.; Kyprianidis, I. M.; Stouboulos, I. N. The case of bidirectionally coupled nonlinear circuits via a memristor. (English) Zbl 1383.94061 Vaidyanathan, Sundarapandian (ed.) et al., Advances and applications in nonlinear control systems. Cham: Springer (ISBN 978-3-319-30167-9/hbk; 978-3-319-30169-3/ebook). Studies in Computational Intelligence 635, 317-350 (2016). MSC: 94C05 34C28 PDFBibTeX XMLCite \textit{Ch. K. Volos} et al., Stud. Comput. Intell. 635, 317--350 (2016; Zbl 1383.94061) Full Text: DOI
Harko, Tiberiu; Liang, Shi-Dong Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator. (English) Zbl 1358.34003 J. Eng. Math. 98, 93-111 (2016). MSC: 34A05 34A34 34A25 70K40 PDFBibTeX XMLCite \textit{T. Harko} and \textit{S.-D. Liang}, J. Eng. Math. 98, 93--111 (2016; Zbl 1358.34003) Full Text: DOI arXiv
Fokou Kenfack, W.; Siewe Siewe, M.; Kofane, T. C. Nonlinear dynamics and synchronization of saline oscillator’s model. (English) Zbl 1355.34064 Chaos Solitons Fractals 82, 72-82 (2016). MSC: 34C15 34C60 37N10 37M05 PDFBibTeX XMLCite \textit{W. Fokou Kenfack} et al., Chaos Solitons Fractals 82, 72--82 (2016; Zbl 1355.34064) Full Text: DOI
Schwabedal, Justus T. C.; Knapper, Drake E.; Shilnikov, Andrey L. Qualitative and quantitative stability analysis of penta-rhythmic circuits. (English) Zbl 1369.37090 Nonlinearity 29, No. 12, 3647-3676 (2016). MSC: 37N25 65P40 92C42 34C26 34C60 PDFBibTeX XMLCite \textit{J. T. C. Schwabedal} et al., Nonlinearity 29, No. 12, 3647--3676 (2016; Zbl 1369.37090) Full Text: DOI arXiv
Fu, Yongqing; Li, Yanan; Zhang, Lin; Li, Xingyuan The DPSK signal noncoherent demodulation receiver based on the Duffing oscillators array. (English) Zbl 1354.94012 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1650216, 14 p. (2016). MSC: 94A12 94A13 94A14 34C15 92B20 94A60 PDFBibTeX XMLCite \textit{Y. Fu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1650216, 14 p. (2016; Zbl 1354.94012) Full Text: DOI
Rech, Paulo C. Quasiperiodicity and chaos in a generalized Nosé-Hoover oscillator. (English) Zbl 1352.34077 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650170, 7 p. (2016). MSC: 34C60 34C15 34D08 34C27 34C28 PDFBibTeX XMLCite \textit{P. C. Rech}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650170, 7 p. (2016; Zbl 1352.34077) Full Text: DOI
Fernandez, Bastien; Mintchev, Stanislav M. Wave generation in unidirectional chains of idealized neural oscillators. (English) Zbl 1361.92007 J. Math. Neurosci. 6, Paper No. 5, 27 p. (2016). MSC: 92B20 92C20 PDFBibTeX XMLCite \textit{B. Fernandez} and \textit{S. M. Mintchev}, J. Math. Neurosci. 6, Paper No. 5, 27 p. (2016; Zbl 1361.92007) Full Text: DOI arXiv
Gorodets’kyĭ, V. V.; Kolisnyk, R. S. On a problem for evolution equations with harmonic oscillator. (Ukrainian. English summary) Zbl 1363.47129 Bukovyn. Mat. Zh. 4, No. 1-2, 31-36 (2016). MSC: 47J35 34B10 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{R. S. Kolisnyk}, Bukovyn. Mat. Zh. 4, No. 1--2, 31--36 (2016; Zbl 1363.47129)
Lerner, L. The dynamics of a stabilised Wien bridge oscillator. (English) Zbl 1351.78029 Eur. J. Phys. 37, No. 6, Article ID 065807, 22 p. (2016). MSC: 78A55 34C15 PDFBibTeX XMLCite \textit{L. Lerner}, Eur. J. Phys. 37, No. 6, Article ID 065807, 22 p. (2016; Zbl 1351.78029) Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C. Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. (English) Zbl 1355.65011 Nonlinear Dyn. 85, No. 2, 1185-1202 (2016). MSC: 65C30 65R20 42C40 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Nonlinear Dyn. 85, No. 2, 1185--1202 (2016; Zbl 1355.65011) Full Text: DOI
Luo, Albert C. J.; Xing, Siyuan Symmetric and asymmetric period-1 motions in a periodically forced, time-delayed, hardening Duffing oscillator. (English) Zbl 1355.34087 Nonlinear Dyn. 85, No. 2, 1141-1166 (2016). MSC: 34D20 34C23 34C15 34C25 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{S. Xing}, Nonlinear Dyn. 85, No. 2, 1141--1166 (2016; Zbl 1355.34087) Full Text: DOI
Hoveijn, Igor Stability pockets of a periodically forced oscillator in a model for seasonality. (English) Zbl 1382.37019 Indag. Math., New Ser. 27, No. 5, 1204-1218 (2016). MSC: 37C10 70K05 70K40 37C50 34B30 PDFBibTeX XMLCite \textit{I. Hoveijn}, Indag. Math., New Ser. 27, No. 5, 1204--1218 (2016; Zbl 1382.37019) Full Text: DOI arXiv
Sterk, A. E. Extreme amplitudes of a periodically forced Duffing oscillator. (English) Zbl 1353.65135 Indag. Math., New Ser. 27, No. 5, 1059-1067 (2016). MSC: 65P40 37M10 37D45 PDFBibTeX XMLCite \textit{A. E. Sterk}, Indag. Math., New Ser. 27, No. 5, 1059--1067 (2016; Zbl 1353.65135) Full Text: DOI
Quesne, C. Addendum to “An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates”. (English) Zbl 1349.34119 Phys. Lett., A 380, No. 5-6, 809-810 (2016). MSC: 34C15 81Q05 PDFBibTeX XMLCite \textit{C. Quesne}, Phys. Lett., A 380, No. 5--6, 809--810 (2016; Zbl 1349.34119) Full Text: DOI arXiv
Bosco de Magalhães, A. R.; Oliveira, Adélcio C. Characteristic entanglement timescales of a qubit coupled to a quartic oscillator. (English) Zbl 1349.81040 Phys. Lett., A 380, No. 4, 554-561 (2016). MSC: 81P40 81V80 81Q37 PDFBibTeX XMLCite \textit{A. R. Bosco de Magalhães} and \textit{A. C. Oliveira}, Phys. Lett., A 380, No. 4, 554--561 (2016; Zbl 1349.81040) Full Text: DOI
Mancas, Stefan C.; Rosu, Haret C. Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form. (English) Zbl 1349.34118 Phys. Lett., A 380, No. 3, 422-428 (2016). MSC: 34C15 34C20 PDFBibTeX XMLCite \textit{S. C. Mancas} and \textit{H. C. Rosu}, Phys. Lett., A 380, No. 3, 422--428 (2016; Zbl 1349.34118) Full Text: DOI arXiv
Maiti, Soumyabrata; Roy, Jyotirmoy; Mallik, Asok K.; Bhattacharjee, Jayanta K. Nonlinear dynamics of a rotating double pendulum. (English) Zbl 1349.70042 Phys. Lett., A 380, No. 3, 408-412 (2016). MSC: 70K25 70K55 PDFBibTeX XMLCite \textit{S. Maiti} et al., Phys. Lett., A 380, No. 3, 408--412 (2016; Zbl 1349.70042) Full Text: DOI
Chen, Hebai; Xie, Jianhua Harmonic and subharmonic solutions of the SD oscillator. (English) Zbl 1355.34035 Nonlinear Dyn. 84, No. 4, 2477-2486 (2016). MSC: 34A36 34C15 34A12 PDFBibTeX XMLCite \textit{H. Chen} and \textit{J. Xie}, Nonlinear Dyn. 84, No. 4, 2477--2486 (2016; Zbl 1355.34035) Full Text: DOI
Sun, Xu; Duan, Jinqiao; Li, Xiaofan Stochastic modeling of nonlinear oscillators under combined Gaussian and Poisson white noise: a viewpoint based on the energy conservation law. (English) Zbl 1354.34109 Nonlinear Dyn. 84, No. 3, 1311-1325 (2016). MSC: 34F05 34C15 34E10 PDFBibTeX XMLCite \textit{X. Sun} et al., Nonlinear Dyn. 84, No. 3, 1311--1325 (2016; Zbl 1354.34109) Full Text: DOI
Li, Zhenbo; Tang, Jiashi A generalized Padé-Lindstedt-Poincaré method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators. (English) Zbl 1354.34079 Nonlinear Dyn. 84, No. 3, 1201-1223 (2016). MSC: 34C37 37C29 37G15 34C15 34C23 PDFBibTeX XMLCite \textit{Z. Li} and \textit{J. Tang}, Nonlinear Dyn. 84, No. 3, 1201--1223 (2016; Zbl 1354.34079) Full Text: DOI
Liu, Chein-Shan; Chang, Chih-Wen A real-time Lie-group differential algebraic equations method to solve the inverse nonlinear vibration problems. (English) Zbl 1348.65134 Inverse Probl. Sci. Eng. 24, No. 9, 1569-1586 (2016). MSC: 65M32 35R30 65M20 65F22 65L80 PDFBibTeX XMLCite \textit{C.-S. Liu} and \textit{C.-W. Chang}, Inverse Probl. Sci. Eng. 24, No. 9, 1569--1586 (2016; Zbl 1348.65134) Full Text: DOI
Léger, Alain; Pratt, Elaine On the equilibria and qualitative dynamics of a forced nonlinear oscillator with contact and friction. (English) Zbl 1404.70055 Discrete Contin. Dyn. Syst., Ser. S 9, No. 2, 501-527 (2016). MSC: 70K42 70F40 70K05 PDFBibTeX XMLCite \textit{A. Léger} and \textit{E. Pratt}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 2, 501--527 (2016; Zbl 1404.70055) Full Text: DOI
Murza, Adrian C.; Yu, Pei Coupled oscillatory systems with 4 symmetry and application to van der Pol oscillators. (English) Zbl 1345.34060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650141, 18 p. (2016). MSC: 34C15 34C14 37G40 34C23 34C05 34C37 PDFBibTeX XMLCite \textit{A. C. Murza} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650141, 18 p. (2016; Zbl 1345.34060) Full Text: DOI
Rajamani, Vetriveeran; Yang, Changju; Kim, Hyongsuk; Chua, Leon Design of a low-frequency oscillator with PTC Memristor and an inductor. (English) Zbl 1345.34088 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1630021, 27 p. (2016). MSC: 34C60 94C05 94C30 34C23 34C15 34C28 PDFBibTeX XMLCite \textit{V. Rajamani} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1630021, 27 p. (2016; Zbl 1345.34088) Full Text: DOI
Amir, Naila; Iqbal, Shahid Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass. (English) Zbl 1345.34051 Commun. Theor. Phys. 66, No. 1, 41-48 (2016). MSC: 34C15 81R30 PDFBibTeX XMLCite \textit{N. Amir} and \textit{S. Iqbal}, Commun. Theor. Phys. 66, No. 1, 41--48 (2016; Zbl 1345.34051) Full Text: DOI arXiv
Freidlin, Mark Thermostat-like perturbations of an oscillator. (English) Zbl 1358.34066 J. Stat. Phys. 164, No. 1, 130-141 (2016). Reviewer: Toader Morozan (Bucureşti) MSC: 34F05 60F10 34E10 34C15 PDFBibTeX XMLCite \textit{M. Freidlin}, J. Stat. Phys. 164, No. 1, 130--141 (2016; Zbl 1358.34066) Full Text: DOI
Shepelev, Igor’ Aleksandrovich; Vadivasova, Tat’yana Evgen’evna Chimera regimes in a ring of elements with local unidirectional interaction. (Russian. English summary) Zbl 1392.34037 Nelineĭn. Din. 12, No. 2, 197-210 (2016). Reviewer: Oleh Omel’chenko (Berlin) MSC: 34C15 34D06 PDFBibTeX XMLCite \textit{I. A. Shepelev} and \textit{T. E. Vadivasova}, Nelineĭn. Din. 12, No. 2, 197--210 (2016; Zbl 1392.34037) Full Text: DOI MNR
Ahmadizadeh, Saeed; Nešić, Dragan; Freestone, Dean R.; Grayden, David B. On synchronization of networks of Wilson-Cowan oscillators with diffusive coupling. (English) Zbl 1343.93004 Automatica 71, 169-178 (2016). MSC: 93A14 93C15 93C10 92B20 PDFBibTeX XMLCite \textit{S. Ahmadizadeh} et al., Automatica 71, 169--178 (2016; Zbl 1343.93004) Full Text: DOI
Miwadinou, C. H.; Monwanou, A. V.; Hinvi, L. A.; Koukpemedji, A. A.; Ainamon, C.; Chabi Orou, J. B. Melnikov chaos in a modified Rayleigh-Duffing oscillator with 6 potential. (English) Zbl 1343.34091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1650085, 13 p. (2016). MSC: 34C15 34C28 70K40 34C23 34C37 PDFBibTeX XMLCite \textit{C. H. Miwadinou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1650085, 13 p. (2016; Zbl 1343.34091) Full Text: DOI arXiv
Bibikov, Yu. N.; Savel’eva, A. G. Periodic perturbations of a nonlinear oscillator. (English. Russian original) Zbl 1355.34092 Differ. Equ. 52, No. 4, 405-412 (2016); translation from Differ. Uravn. 52, No. 4, 411-418 (2016). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E10 34C15 34D10 34D20 34C23 34C45 PDFBibTeX XMLCite \textit{Yu. N. Bibikov} and \textit{A. G. Savel'eva}, Differ. Equ. 52, No. 4, 405--412 (2016; Zbl 1355.34092); translation from Differ. Uravn. 52, No. 4, 411--418 (2016) Full Text: DOI
Vlasov, Vladimir; Rosenblum, Michael; Pikovsky, Arkady Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe-Strogatz integrability. (English) Zbl 1347.34055 J. Phys. A, Math. Theor. 49, No. 31, Article ID 31LT02, 8 p. (2016). MSC: 34C15 34E10 34F05 34A05 PDFBibTeX XMLCite \textit{V. Vlasov} et al., J. Phys. A, Math. Theor. 49, No. 31, Article ID 31LT02, 8 p. (2016; Zbl 1347.34055) Full Text: DOI arXiv
Chen, Hebai; Zou, Lan Global study of Rayleigh-Duffing oscillators. (English) Zbl 1359.34040 J. Phys. A, Math. Theor. 49, No. 16, Article ID 165202, 25 p. (2016). Reviewer: Alois Steindl (Wien) MSC: 34C15 34C05 34C23 34C25 34C37 PDFBibTeX XMLCite \textit{H. Chen} and \textit{L. Zou}, J. Phys. A, Math. Theor. 49, No. 16, Article ID 165202, 25 p. (2016; Zbl 1359.34040) Full Text: DOI
Plata, J. Coherent response of a stochastic nonlinear oscillator to a driving force: analytical characterization of the spectral signatures. (English) Zbl 1342.70058 J. Phys. A, Math. Theor. 49, No. 4, Article ID 045001, 14 p. (2016). MSC: 70K40 PDFBibTeX XMLCite \textit{J. Plata}, J. Phys. A, Math. Theor. 49, No. 4, Article ID 045001, 14 p. (2016; Zbl 1342.70058) Full Text: DOI arXiv
Euzébio, Rodrigo D.; Llibre, Jaume Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator. (English) Zbl 1348.34078 Int. J. Comput. Math. 93, No. 8, 1358-1382 (2016). Reviewer: Mohsen Timoumi (Monastir) MSC: 34C25 34C07 37C60 34C15 34C29 PDFBibTeX XMLCite \textit{R. D. Euzébio} and \textit{J. Llibre}, Int. J. Comput. Math. 93, No. 8, 1358--1382 (2016; Zbl 1348.34078) Full Text: DOI arXiv
Zait, R. A.; El-Shekhipy, A. A.; Abdo, N. M. Statistical measures approximations for the Gaussian part of the stochastic nonlinear damped Duffing oscillator solution process under the application of Wiener Hermite expansion linked by the multi-step differential transformed method. (English) Zbl 1342.65013 J. Egypt. Math. Soc. 24, No. 3, 437-448 (2016). MSC: 65C30 60H10 60H35 34K50 PDFBibTeX XMLCite \textit{R. A. Zait} et al., J. Egypt. Math. Soc. 24, No. 3, 437--448 (2016; Zbl 1342.65013) Full Text: DOI
Marquette, Ian; Quesne, Christiane Connection between quantum systems involving the fourth Painlevé transcendent and \(k\)-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial. (English) Zbl 1375.81100 J. Math. Phys. 57, No. 5, 052101, 15 p. (2016). Reviewer: Andrew Pickering (Madrid) MSC: 81Q10 35Q55 34M55 81Q60 81Q80 33C20 33C45 PDFBibTeX XMLCite \textit{I. Marquette} and \textit{C. Quesne}, J. Math. Phys. 57, No. 5, 052101, 15 p. (2016; Zbl 1375.81100) Full Text: DOI arXiv
Chen, Hebai Global analysis on the discontinuous limit case of a smooth oscillator. (English) Zbl 1338.34040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650061, 21 p. (2016). MSC: 34A36 34C23 34C05 34C15 PDFBibTeX XMLCite \textit{H. Chen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650061, 21 p. (2016; Zbl 1338.34040) Full Text: DOI
Liu, Tao; Xu, Wei; Xu, Yong; Han, Qun Long-term dynamics of autonomous fractional differential equations. (English) Zbl 1338.34020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650055, 10 p. (2016). MSC: 34A08 34D05 34D20 34D45 34C15 PDFBibTeX XMLCite \textit{T. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650055, 10 p. (2016; Zbl 1338.34020) Full Text: DOI
Mannan, Zubaer Ibna; Choi, Hyuncheol; Kim, Hyongsuk Chua Corsage Memristor oscillator via Hopf bifurcation. (English) Zbl 1338.34095 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1630009, 28 p. (2016). MSC: 34C60 94C05 34C15 34C23 34C28 PDFBibTeX XMLCite \textit{Z. I. Mannan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1630009, 28 p. (2016; Zbl 1338.34095) Full Text: DOI
Chang, Der-Chen; Feng, Sheng-Ya Periodic solutions for Hamiltonian systems associated with nonlinear oscillators. (English) Zbl 1343.34047 J. Nonlinear Convex Anal. 17, No. 4, 621-637 (2016). MSC: 34A45 34C15 34C25 34L30 37J45 PDFBibTeX XMLCite \textit{D.-C. Chang} and \textit{S.-Y. Feng}, J. Nonlinear Convex Anal. 17, No. 4, 621--637 (2016; Zbl 1343.34047) Full Text: Link
Razavi, Hamed; Gupta, Rohit; Adams, Fred C.; Bloch, Anthony M. Stability of a class of coupled Hill’s equations and the Lorentz oscillator model. (English) Zbl 1371.34025 SIAM J. Appl. Dyn. Syst. 15, No. 2, 1104-1123 (2016). Reviewer: Olusola Akinyele (Bowie) MSC: 34A30 34D20 34L15 34C15 PDFBibTeX XMLCite \textit{H. Razavi} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 1104--1123 (2016; Zbl 1371.34025) Full Text: DOI
Li, Zhenbo; Tang, Jiashi; Cai, Ping Predicting homoclinic and heteroclinic bifurcation of generalized Duffing-harmonic-van der Pol oscillator. (English) Zbl 1348.70057 Qual. Theory Dyn. Syst. 15, No. 1, 19-37 (2016). MSC: 70K44 70K60 34C37 37G15 PDFBibTeX XMLCite \textit{Z. Li} et al., Qual. Theory Dyn. Syst. 15, No. 1, 19--37 (2016; Zbl 1348.70057) Full Text: DOI
Choi, Sun-Ho; Ha, Seung-Yeal Time-delayed interactions and synchronization of identical Lohe oscillators. (English) Zbl 1359.92012 Q. Appl. Math. 74, No. 2, 297-319 (2016). MSC: 92B25 34C15 34K20 34D06 PDFBibTeX XMLCite \textit{S.-H. Choi} and \textit{S.-Y. Ha}, Q. Appl. Math. 74, No. 2, 297--319 (2016; Zbl 1359.92012) Full Text: DOI
Arsenault, Ashley; Opps, Sheldon; Saad, Nasser Solvable potentials with exceptional orthogonal polynomials. (English) Zbl 1338.81219 Ann. Phys., Berlin 528, No. 3-4, 321-334 (2016). MSC: 81Q80 33E30 81Q05 81Q60 PDFBibTeX XMLCite \textit{A. Arsenault} et al., Ann. Phys., Berlin 528, No. 3--4, 321--334 (2016; Zbl 1338.81219) Full Text: DOI
Mawhin, J. A simple proof of multiplicity for periodic solutions of Lagrangian difference systems with relativistic operator and periodic potential. (English) Zbl 1381.39012 J. Difference Equ. Appl. 22, No. 2, 306-315 (2016). MSC: 39A14 39A23 47J20 PDFBibTeX XMLCite \textit{J. Mawhin}, J. Difference Equ. Appl. 22, No. 2, 306--315 (2016; Zbl 1381.39012) Full Text: DOI
Abdelhafez, H. M. Solution of excited non-linear oscillators under damping effects using the modified differential transform method. (English) Zbl 1346.34017 Mathematics 4, No. 1, Paper No. 11, 12 p. (2016). MSC: 34A25 34A45 34C15 65L06 PDFBibTeX XMLCite \textit{H. M. Abdelhafez}, Mathematics 4, No. 1, Paper No. 11, 12 p. (2016; Zbl 1346.34017) Full Text: DOI
Dubois, Daniel M. Hyperincursive algorithms of classical harmonic oscillator applied to quantum harmonic oscillator separable into incursive oscillators. (English) Zbl 1334.81032 Amoroso, Richard L. (ed.) et al., Unified field mechanics: natural science beyond the veil of spacetime. Proceedings of the IX symposium honoring noted French mathematical physicist Jean-Pierre Vigier, Morgan State University, Baltimore, MD, USA, November 16–19, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-4719-05-6/hbk; 978-981-4719-07-0/ebook). 55-65 (2016). MSC: 81Q05 74J30 68Q05 81-04 PDFBibTeX XMLCite \textit{D. M. Dubois}, in: Unified field mechanics: natural science beyond the veil of spacetime. Proceedings of the IX symposium honoring noted French mathematical physicist Jean-Pierre Vigier, Morgan State University, Baltimore, MD, USA, November 16--19, 2014. Hackensack, NJ: World Scientific. 55--65 (2016; Zbl 1334.81032) Full Text: DOI Link
Málek, Josef; Rajagopal, Kumbakonam R.; Suková, Petra Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations. (English) Zbl 1389.34045 Appl. Math., Praha 61, No. 1, 79-102 (2016). Reviewer: Livija Cvetićanin (Novi Sad) MSC: 34A09 34C28 70H45 34C23 34D08 34C15 PDFBibTeX XMLCite \textit{J. Málek} et al., Appl. Math., Praha 61, No. 1, 79--102 (2016; Zbl 1389.34045) Full Text: DOI Link
Wang, Xuelei; Liu, Qihuai; Qian, Dingbian Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian via a geometric approach. (English) Zbl 1362.34038 Bound. Value Probl. 2016, Paper No. 47, 27 p. (2016). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B15 34B16 47N20 PDFBibTeX XMLCite \textit{X. Wang} et al., Bound. Value Probl. 2016, Paper No. 47, 27 p. (2016; Zbl 1362.34038) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Park, Jinyeong; Ryoo, Sang Woo Emergent dynamics of Winfree oscillators on locally coupled networks. (English) Zbl 1396.34020 J. Differ. Equations 260, No. 5, 4203-4236 (2016). MSC: 34C15 37J35 70F99 92B25 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Differ. Equations 260, No. 5, 4203--4236 (2016; Zbl 1396.34020) Full Text: DOI
Germain, Pierre; Hani, Zaher; Thomann, Laurent On the continuous resonant equation for NLS. I: Deterministic analysis. (English. French summary) Zbl 1344.35133 J. Math. Pures Appl. (9) 105, No. 1, 131-163 (2016). Reviewer: Marius Beceanu (Berkeley) MSC: 35Q55 35B65 37K05 35C07 PDFBibTeX XMLCite \textit{P. Germain} et al., J. Math. Pures Appl. (9) 105, No. 1, 131--163 (2016; Zbl 1344.35133) Full Text: DOI arXiv