Miwadinou, C. H.; Monwanou, A. V.; Yovogan, J.; Hinvi, L. A.; Nwagoum Tuwa, P. R.; Chabi Orou, J. B. Modeling nonlinear dissipative chemical dynamics by a forced modified van der Pol-Duffing oscillator with asymmetric potential: chaotic behaviors predictions. (English) Zbl 07819495 Chin. J. Phys., Taipei 56, No. 3, 1089-1104 (2018). MSC: 34Cxx 74Hxx 37Nxx PDFBibTeX XMLCite \textit{C. H. Miwadinou} et al., Chin. J. Phys., Taipei 56, No. 3, 1089--1104 (2018; Zbl 07819495) Full Text: DOI
Yang, Shuangming; Wei, Xile; Deng, Bin; Liu, Chen; Li, Huiyan; Wang, Jiang Efficient digital implementation of a conductance-based globus pallidus neuron and the dynamics analysis. (English) Zbl 1514.92021 Physica A 494, 484-502 (2018). MSC: 92C20 34A34 81V35 94A12 PDFBibTeX XMLCite \textit{S. Yang} et al., Physica A 494, 484--502 (2018; Zbl 1514.92021) Full Text: DOI
Huang, Chengdai Multiple scales scheme for bifurcation in a delayed extended van der Pol oscillator. (English) Zbl 1514.34121 Physica A 490, 643-652 (2018). MSC: 34K18 34H20 34K20 93B52 PDFBibTeX XMLCite \textit{C. Huang}, Physica A 490, 643--652 (2018; Zbl 1514.34121) Full Text: DOI
Meenakshi, M. V. Sethu; Athisayanathan, S.; Chinnathambi, V.; Rajasekar, S. Homoclinic bifurcation in a parametrically driven nonlinearly damped Duffing-Van der Pol oscillator. (Homoclinic bifurcation in a parametrically driven nonlinearly damped Duffing-vander Pol oscillator.) (English) Zbl 1481.34050 Int. J. Adv. Appl. Math. Mech. 6, No. 1, 10-20 (2018). MSC: 34C15 34C23 34C37 34C28 37C60 70K40 70K28 PDFBibTeX XMLCite \textit{M. V. S. Meenakshi} et al., Int. J. Adv. Appl. Math. Mech. 6, No. 1, 10--20 (2018; Zbl 1481.34050) Full Text: Link
Sharma, Harsh; Patil, Mayuresh; Woolsey, Craig Energy-preserving variational integrators for forced Lagrangian systems. (English) Zbl 1510.70003 Commun. Nonlinear Sci. Numer. Simul. 64, 159-177 (2018). MSC: 70-08 70H03 70K40 70J35 PDFBibTeX XMLCite \textit{H. Sharma} et al., Commun. Nonlinear Sci. Numer. Simul. 64, 159--177 (2018; Zbl 1510.70003) Full Text: DOI arXiv
Vieira, Ronaldo S. S.; Michtchenko, Tatiana A. Relativistic chaos in the anisotropic harmonic oscillator. (English) Zbl 1442.70011 Chaos Solitons Fractals 117, 276-282 (2018). MSC: 70H40 83A05 70K55 PDFBibTeX XMLCite \textit{R. S. S. Vieira} and \textit{T. A. Michtchenko}, Chaos Solitons Fractals 117, 276--282 (2018; Zbl 1442.70011) Full Text: DOI arXiv
Rysak, Andrzej; Gregorczyk, Magdalena; Chwełatiuk, Konrad; Gąska, Daniel Study of the high-amplitude solutions in the system of magnetic sliding oscillator with many degrees of freedom. (English) Zbl 1444.78007 Awrejcewicz, Jan (ed.), Dynamical systems in theoretical perspective. Łódź, Poland, December 11–14, 2017. Based on the 14th international conference on dynamical systems: theory and applications (DSTA). Cham: Springer. Springer Proc. Math. Stat. 248, 295-310 (2018). MSC: 78A55 78A30 78-05 78M99 34B15 65L10 PDFBibTeX XMLCite \textit{A. Rysak} et al., Springer Proc. Math. Stat. 248, 295--310 (2018; Zbl 1444.78007) Full Text: DOI
Gusso, André; Pimentel, Jéssica D. Approximate fully analytical Fourier series solution to the forced and damped Helmholtz-Duffing oscillator. (English) Zbl 1465.34015 Appl. Math. Modelling 61, 593-603 (2018). MSC: 34A25 34C15 37C60 34A45 PDFBibTeX XMLCite \textit{A. Gusso} and \textit{J. D. Pimentel}, Appl. Math. Modelling 61, 593--603 (2018; Zbl 1465.34015) Full Text: DOI
Ncube, Israel Finite time blow-up in a mathematical model of sub-atomic particle oscillations. (English) Zbl 1460.34044 Far East J. Dyn. Syst. 30, No. 3, 77-101 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C15 34C25 34C11 PDFBibTeX XMLCite \textit{I. Ncube}, Far East J. Dyn. Syst. 30, No. 3, 77--101 (2018; Zbl 1460.34044) Full Text: DOI
Zimin, O. I.; Kulinich, G. L. About asymptotic behaviour of the mathematical expectation of the total energy of the harmonic oscillator with random perturbation. (Ukrainian. English summary) Zbl 1438.34205 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 47-52 (2018). MSC: 34F05 34C15 60H10 34D05 PDFBibTeX XMLCite \textit{O. I. Zimin} and \textit{G. L. Kulinich}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 47--52 (2018; Zbl 1438.34205)
Ruiz, A.; Muriel, C. On the integrability of Liénard i-type equations via \(\lambda \)-symmetries and solvable structures. (English) Zbl 1428.34048 Appl. Math. Comput. 339, 888-898 (2018). MSC: 34C14 34A05 PDFBibTeX XMLCite \textit{A. Ruiz} and \textit{C. Muriel}, Appl. Math. Comput. 339, 888--898 (2018; Zbl 1428.34048) Full Text: DOI
Li, Chenjing; Xu, Xuemei; Ding, Yipeng; Yin, Linzi; Dou, Beibei Weak photoacoustic signal detection based on the differential Duffing oscillator. (English) Zbl 1423.94020 Int. J. Mod. Phys. B 32, No. 9, Article ID 1850103, 16 p. (2018). MSC: 94A12 34C15 PDFBibTeX XMLCite \textit{C. Li} et al., Int. J. Mod. Phys. B 32, No. 9, Article ID 1850103, 16 p. (2018; Zbl 1423.94020) Full Text: DOI
Lin, Lifeng; Wang, Huiqi; Huang, Xipei; Wen, Yongxian Generalized stochastic resonance for a fractional harmonic oscillator with bias-signal-modulated trichotomous noise. (English) Zbl 1423.34077 Int. J. Mod. Phys. B 32, No. 7, Article ID 1850072, 23 p. (2018). MSC: 34F15 34A08 34C15 94A12 PDFBibTeX XMLCite \textit{L. Lin} et al., Int. J. Mod. Phys. B 32, No. 7, Article ID 1850072, 23 p. (2018; Zbl 1423.34077) Full Text: DOI
Belhaq, Mohamed; Ghouli, Zakaria; Hamdi, Mustapha Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay. (English) Zbl 1452.70018 Nonlinear Dyn. 94, No. 4, 2537-2546 (2018). MSC: 70K40 70K50 70K43 74F15 PDFBibTeX XMLCite \textit{M. Belhaq} et al., Nonlinear Dyn. 94, No. 4, 2537--2546 (2018; Zbl 1452.70018) Full Text: DOI
Nhat, L. A. Using differentiation matrices for pseudospectral method solve Duffing oscillator. (English) Zbl 1449.65168 J. Nonlinear Sci. Appl. 11, No. 12, 1331-1336 (2018). MSC: 65L60 34B15 41A50 65L10 PDFBibTeX XMLCite \textit{L. A. Nhat}, J. Nonlinear Sci. Appl. 11, No. 12, 1331--1336 (2018; Zbl 1449.65168) Full Text: DOI
Sysoev, Ilya V. Reconstruction of ensembles of generalized van der Pol oscillators from vector time series. (English) Zbl 1415.34072 Physica D 384-385, 1-11 (2018). MSC: 34C15 37M10 37C05 34C60 PDFBibTeX XMLCite \textit{I. V. Sysoev}, Physica D 384--385, 1--11 (2018; Zbl 1415.34072) Full Text: DOI
Georgiev, Zhivko D.; Uzunov, Ivan M.; Todorov, Todor G. Analysis and synthesis of oscillator systems described by a perturbed double-well Duffing equation. (English) Zbl 1412.34149 Nonlinear Dyn. 94, No. 1, 57-85 (2018). MSC: 34C37 34C28 34C05 37C29 PDFBibTeX XMLCite \textit{Z. D. Georgiev} et al., Nonlinear Dyn. 94, No. 1, 57--85 (2018; Zbl 1412.34149) Full Text: DOI
Bagirova, Sevinj M.; Khanmamedov, Agil H. The inverse spectral problem for the perturbed harmonic oscillator on the entire axis. (English) Zbl 1454.34035 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 44, No. 2, 285-294 (2018). MSC: 34A55 34L40 34C15 34L05 PDFBibTeX XMLCite \textit{S. M. Bagirova} and \textit{A. H. Khanmamedov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 44, No. 2, 285--294 (2018; Zbl 1454.34035)
Demina, Maria V. Invariant surfaces and Darboux integrability for non-autonomous dynamical systems in the plane. (English) Zbl 1411.70025 J. Phys. A, Math. Theor. 51, No. 50, Article ID 505202, 17 p. (2018). MSC: 70H06 70K40 PDFBibTeX XMLCite \textit{M. V. Demina}, J. Phys. A, Math. Theor. 51, No. 50, Article ID 505202, 17 p. (2018; Zbl 1411.70025) Full Text: DOI
Parovik, Roman Ivanovich Chaotic regimes of a fractal nonlinear oscillator. (Russian. English summary) Zbl 1438.34050 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 364-379 (2018). MSC: 34A08 26A33 37N30 74H60 34C15 34C28 34D08 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 364--379 (2018; Zbl 1438.34050) Full Text: DOI MNR
Kim, V. A.; Parovik, R. I. Calculation the maximum Lyapunov exponent for the oscillatory system of Duffing with a degree memory. (Russian. English summary) Zbl 1408.34009 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 98-105 (2018). MSC: 34A08 34C15 34D08 34C25 34C28 34D45 PDFBibTeX XMLCite \textit{V. A. Kim} and \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 98--105 (2018; Zbl 1408.34009) Full Text: DOI MNR
Yang, Yong-Ge; Xu, Wei; Chen, Yangquan; Zhou, Bingchang Bifurcation analysis of a vibro-impact viscoelastic oscillator with fractional derivative element. (English) Zbl 1414.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850170, 10 p. (2018). MSC: 34C60 34A08 34F05 34F10 34C15 PDFBibTeX XMLCite \textit{Y.-G. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850170, 10 p. (2018; Zbl 1414.34042) Full Text: DOI
Maoiléidigh, Dáibhid Ó; Hudspeth, A. J. Sinusoidal-signal detection by active, noisy oscillators on the brink of self-oscillation. (English) Zbl 1404.34042 Physica D 378-379, 33-45 (2018). MSC: 34C15 34F05 94A12 37G10 PDFBibTeX XMLCite \textit{D. Ó Maoiléidigh} and \textit{A. J. Hudspeth}, Physica D 378--379, 33--45 (2018; Zbl 1404.34042) Full Text: DOI arXiv
Ishikawa, Yasushi; Yamanobe, Takanobu Asymptotic expansion of a nonlinear oscillator with a jump-diffusion process. (English) Zbl 1404.60076 Japan J. Ind. Appl. Math. 35, No. 2, 969-1004 (2018). MSC: 60H07 60H30 92C20 92B25 PDFBibTeX XMLCite \textit{Y. Ishikawa} and \textit{T. Yamanobe}, Japan J. Ind. Appl. Math. 35, No. 2, 969--1004 (2018; Zbl 1404.60076) Full Text: DOI
Qian, Y. H.; Yan, D. M. Fast-slow dynamics analysis of a coupled Duffing system with periodic excitation. (English) Zbl 1404.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850148, 15 p. (2018). MSC: 34C15 70K40 39A12 34E20 34C23 PDFBibTeX XMLCite \textit{Y. H. Qian} and \textit{D. M. Yan}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850148, 15 p. (2018; Zbl 1404.34043) Full Text: DOI
Aguilar-López, Ricardo; Mata-Machuca, Juan L.; Martínez-Guerra, Rafael; Pérez-Pinacho, Claudia A. Synchronization of multiple mechanical oscillators under noisy measurements signals and mismatch parameters. (English) Zbl 1464.70015 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7-8, 699-707 (2018). MSC: 70K20 34D06 PDFBibTeX XMLCite \textit{R. Aguilar-López} et al., Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7--8, 699--707 (2018; Zbl 1464.70015) Full Text: DOI
Enaka, Yukihide; Onitsuka, Masakazu Integral averaging technique for oscillation of damped half-linear oscillators. (English) Zbl 1488.34234 Czech. Math. J. 68, No. 3, 755-770 (2018). MSC: 34C10 34C15 34C29 PDFBibTeX XMLCite \textit{Y. Enaka} and \textit{M. Onitsuka}, Czech. Math. J. 68, No. 3, 755--770 (2018; Zbl 1488.34234) Full Text: DOI
Danilevich, E. V.; Evstratov, A. R.; Kukharenko, N. I.; Ovcharenko, V. N.; Poplavskii, B. K. Identification of constant parameters of dynamic systems by a time-frequency method. (English. Russian original) Zbl 1401.93076 J. Comput. Syst. Sci. Int. 57, No. 4, 495-504 (2018); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2018, No. 4 (2018). MSC: 93B30 93C05 93C10 93C15 PDFBibTeX XMLCite \textit{E. V. Danilevich} et al., J. Comput. Syst. Sci. Int. 57, No. 4, 495--504 (2018; Zbl 1401.93076); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2018, No. 4 (2018) Full Text: DOI
Mohammadian, M.; Pourmehran, O.; Ju, P. An iterative approach to obtaining the nonlinear frequency of a conservative oscillator with strong nonlinearities. (English. Russian original) Zbl 1507.34018 Int. Appl. Mech. 54, No. 4, 470-479 (2018); translation from Prikl. Mekh., Kiev 54, No. 4, 113-124 (2018). MSC: 34A45 34C15 70K25 PDFBibTeX XMLCite \textit{M. Mohammadian} et al., Int. Appl. Mech. 54, No. 4, 470--479 (2018; Zbl 1507.34018); translation from Prikl. Mekh., Kiev 54, No. 4, 113--124 (2018) Full Text: DOI Link
Demina, Maria V. Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems. (English) Zbl 1398.34050 Phys. Lett., A 382, No. 20, 1353-1360 (2018). MSC: 34C15 37J35 PDFBibTeX XMLCite \textit{M. V. Demina}, Phys. Lett., A 382, No. 20, 1353--1360 (2018; Zbl 1398.34050) Full Text: DOI
Messias, Marcelo; Reinol, Alisson C. On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé-Hoover oscillator. (English) Zbl 1398.70048 Nonlinear Dyn. 92, No. 3, 1287-1297 (2018). MSC: 70K65 70K42 70H08 PDFBibTeX XMLCite \textit{M. Messias} and \textit{A. C. Reinol}, Nonlinear Dyn. 92, No. 3, 1287--1297 (2018; Zbl 1398.70048) Full Text: DOI
Cong, Xue; Deng, Ke Stochastic resonance of a Langevin oscillator with fluctuating frequency induced by asymmetric noise. (Chinese. English summary) Zbl 1413.37040 J. Sichuan Univ., Nat. Sci. Ed. 55, No. 1, 1-6 (2018). MSC: 37H15 70K28 35C15 PDFBibTeX XMLCite \textit{X. Cong} and \textit{K. Deng}, J. Sichuan Univ., Nat. Sci. Ed. 55, No. 1, 1--6 (2018; Zbl 1413.37040) Full Text: DOI
Younespour, Amir; Ghaffarzadeh, Hosein; Azar, Bahman Farahmand An equivalent linearization method for nonlinear Van der Pol oscillator subjected to random vibration using orthogonal functions. (English) Zbl 1413.93015 Control Theory Technol. 16, No. 1, 49-57 (2018). MSC: 93B18 93C10 70L05 PDFBibTeX XMLCite \textit{A. Younespour} et al., Control Theory Technol. 16, No. 1, 49--57 (2018; Zbl 1413.93015) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of parametrically forced nonlinear oscillators. (English) Zbl 1402.37068 Regul. Chaotic Dyn. 23, No. 3, 291-303 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 37J30 34C15 70K40 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Regul. Chaotic Dyn. 23, No. 3, 291--303 (2018; Zbl 1402.37068) Full Text: DOI
Kroetz, Tiago; Portela, Jefferson S. E.; Viana, Ricardo L. Coexistence of subharmonic resonant modes obeying a period-adding rule. (English) Zbl 1401.34023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1830031, 12 p. (2018). MSC: 34A36 34C15 37C60 34D20 34C25 34C23 PDFBibTeX XMLCite \textit{T. Kroetz} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1830031, 12 p. (2018; Zbl 1401.34023) Full Text: DOI
Stankevich, Nataliya V.; Dvorak, Anton; Astakhov, Vladimir; Jaros, Patrycja; Kapitaniak, Marcin; Perlikowski, Przemysław; Kapitaniak, Tomasz Chaos and hyperchaos in coupled antiphase driven Toda oscillators. (English) Zbl 1398.37031 Regul. Chaotic Dyn. 23, No. 1, 120-126 (2018). MSC: 37D45 70K55 PDFBibTeX XMLCite \textit{N. V. Stankevich} et al., Regul. Chaotic Dyn. 23, No. 1, 120--126 (2018; Zbl 1398.37031) Full Text: DOI
Dorodenkov, A. A. On the stability of the zero solution of a second-order differential equation under a periodic perturbation of the center. (English. Russian original) Zbl 1401.34068 Vestn. St. Petersbg. Univ., Math. 51, No. 1, 31-35 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 1, 41-46 (2018). MSC: 34D20 34D10 34C15 70K40 34C29 PDFBibTeX XMLCite \textit{A. A. Dorodenkov}, Vestn. St. Petersbg. Univ., Math. 51, No. 1, 31--35 (2018; Zbl 1401.34068); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 1, 41--46 (2018) Full Text: DOI
Rodrigues, C.; Simões, Fernando M. F.; Pinto da Costa, A.; Froio, D.; Rizzi, E. Finite element dynamic analysis of beams on nonlinear elastic foundations under a moving oscillator. (English) Zbl 1406.74643 Eur. J. Mech., A, Solids 68, 9-24 (2018). MSC: 74S05 74K10 74B20 PDFBibTeX XMLCite \textit{C. Rodrigues} et al., Eur. J. Mech., A, Solids 68, 9--24 (2018; Zbl 1406.74643) Full Text: DOI
Liu, Jie; Li, Sheng-Chang; Fu, Li-Bin; Ye, Di-Fa Nonlinear adiabatic evolution of quantum systems. Geometric phase and virtual magnetic monopole. (English) Zbl 1405.81009 Singapore: Springer (ISBN 978-981-13-2642-4/hbk; 978-981-13-2643-1/ebook). ix, 190 p. (2018). Reviewer: Alex B. Gaina (Chisinau) MSC: 81-02 81Q70 81V10 00A79 PDFBibTeX XMLCite \textit{J. Liu} et al., Nonlinear adiabatic evolution of quantum systems. Geometric phase and virtual magnetic monopole. Singapore: Springer (2018; Zbl 1405.81009) Full Text: DOI
Amore, Paolo; Fernández, Francisco M. On the straightforward perturbation theory in classical mechanics. (English) Zbl 1421.70012 Eur. J. Phys. 39, No. 5, Article ID 055001, 9 p. (2018). MSC: 70E20 70H09 70K60 97M50 PDFBibTeX XMLCite \textit{P. Amore} and \textit{F. M. Fernández}, Eur. J. Phys. 39, No. 5, Article ID 055001, 9 p. (2018; Zbl 1421.70012) Full Text: DOI arXiv
Zhu, Hongying; Qin, Bin; Yang, Sumin; Wei, Minzhi Poincaré bifurcation of some nonlinear oscillator of generalized Liénard type using symbolic computation methods. (English) Zbl 1397.34071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850096, 13 p. (2018). MSC: 34C23 34C15 34E10 34C05 34C37 34-04 PDFBibTeX XMLCite \textit{H. Zhu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850096, 13 p. (2018; Zbl 1397.34071) Full Text: DOI
Tsiganov, A. V. On exact discretization of cubic-quintic Duffing oscillator. (English) Zbl 1396.37064 J. Math. Phys. 59, No. 7, 072703, 15 p. (2018). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 37J05 70K30 70H05 39A12 39A21 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Math. Phys. 59, No. 7, 072703, 15 p. (2018; Zbl 1396.37064) Full Text: DOI arXiv
Cui, Jifeng; Zhang, Wenyu; Liu, Zeng; Sun, Jianglong On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator. (English) Zbl 1445.65045 Numer. Algorithms 78, No. 4, 1217-1231 (2018). Reviewer: Alois Steindl (Wien) MSC: 65P10 34C46 65L07 34C15 70K42 PDFBibTeX XMLCite \textit{J. Cui} et al., Numer. Algorithms 78, No. 4, 1217--1231 (2018; Zbl 1445.65045) Full Text: DOI
Zhang, Hua; Ji, Jinchen Group synchronization of coupled harmonic oscillators without velocity measurements. (English) Zbl 1392.34026 Nonlinear Dyn. 91, No. 4, 2773-2788 (2018). MSC: 34B45 34D06 34C15 34A37 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{J. Ji}, Nonlinear Dyn. 91, No. 4, 2773--2788 (2018; Zbl 1392.34026) Full Text: DOI
Gallegos, A.; Rosu, H. C. Comment on “Demystifying the constancy of the Ermakov-Lewis invariant for a time-dependent oscillator”. (English) Zbl 1392.34032 Mod. Phys. Lett. A 33, No. 24, Article ID 1875001, 3 p. (2018). MSC: 34C14 34C15 81T99 PDFBibTeX XMLCite \textit{A. Gallegos} and \textit{H. C. Rosu}, Mod. Phys. Lett. A 33, No. 24, Article ID 1875001, 3 p. (2018; Zbl 1392.34032) Full Text: DOI arXiv
Chen, Hebai; Llibre, Jaume; Tang, Yilei Global dynamics of a SD oscillator. (English) Zbl 1390.34119 Nonlinear Dyn. 91, No. 3, 1755-1777 (2018). MSC: 34C29 34C25 47H11 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinear Dyn. 91, No. 3, 1755--1777 (2018; Zbl 1390.34119) Full Text: DOI Link
Bhattacharjee, Sharba; Dey, Biprateep; Mohapatra, Ashok K. Study of geometric phase using classical coupled oscillators. (English) Zbl 1392.81140 Eur. J. Phys. 39, No. 3, Article ID 035404, 14 p. (2018). MSC: 81Q70 78A60 34C15 PDFBibTeX XMLCite \textit{S. Bhattacharjee} et al., Eur. J. Phys. 39, No. 3, Article ID 035404, 14 p. (2018; Zbl 1392.81140) Full Text: DOI arXiv
Subber, Waad; Sarkar, Abhijit A parallel time integrator for noisy nonlinear oscillatory systems. (English) Zbl 1395.65003 J. Comput. Phys. 362, 190-207 (2018). MSC: 65C30 60H10 65Y05 PDFBibTeX XMLCite \textit{W. Subber} and \textit{A. Sarkar}, J. Comput. Phys. 362, 190--207 (2018; Zbl 1395.65003) Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C. A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. (English) Zbl 06877178 Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 26, 26 p. (2018). MSC: 65T60 34A08 65L60 34C15 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 26, 26 p. (2018; Zbl 06877178) Full Text: DOI
Miwadinou, Clement H.; Monwanou, A. V.; Koukpemedji, A. A.; Kpomahou, Y. J. F.; Chabi Orou, J. B. Chaotic motions in forced mixed Rayleigh-Liénard oscillator with external and parametric periodic-excitations. (English) Zbl 1388.34027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1830005, 16 p. (2018). MSC: 34C15 70K40 70K55 70K50 34D08 34C23 PDFBibTeX XMLCite \textit{C. H. Miwadinou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1830005, 16 p. (2018; Zbl 1388.34027) Full Text: DOI
Varshney, Vaibhav; Sabarathinam, S.; Prasad, Awadhesh; Thamilmaran, K. Infinite number of hidden attractors in memristor-based autonomous Duffing oscillator. (English) Zbl 1388.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850013, 13 p. (2018). MSC: 34C15 34C05 34D45 34C60 94C05 PDFBibTeX XMLCite \textit{V. Varshney} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850013, 13 p. (2018; Zbl 1388.34028) Full Text: DOI
Padmanabhan, T. Demystifying the constancy of the Ermakov-Lewis invariant for a time-dependent oscillator. (English) Zbl 1383.34055 Mod. Phys. Lett. A 33, No. 7-8, Article ID 1830005, 5 p. (2018). MSC: 34C14 34C15 81T99 PDFBibTeX XMLCite \textit{T. Padmanabhan}, Mod. Phys. Lett. A 33, No. 7--8, Article ID 1830005, 5 p. (2018; Zbl 1383.34055) Full Text: DOI arXiv
Lu, Wenlian; Atay, Fatihcan M. Stability of phase difference trajectories of networks of Kuramoto oscillators with time-varying couplings and intrinsic frequencies. (English) Zbl 1384.37025 SIAM J. Appl. Dyn. Syst. 17, No. 1, 457-483 (2018). MSC: 37C10 37C60 70K70 70K20 PDFBibTeX XMLCite \textit{W. Lu} and \textit{F. M. Atay}, SIAM J. Appl. Dyn. Syst. 17, No. 1, 457--483 (2018; Zbl 1384.37025) Full Text: DOI arXiv
Ghosh, Pijush K.; Sinha, Debdeep Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models. (English) Zbl 1382.37096 Ann. Phys. 388, 276-304 (2018). MSC: 37N20 PDFBibTeX XMLCite \textit{P. K. Ghosh} and \textit{D. Sinha}, Ann. Phys. 388, 276--304 (2018; Zbl 1382.37096) Full Text: DOI arXiv
Rosas-Ortiz, Oscar; Zelaya, Kevin Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: generalized coherent states for nonlinear algebras. (English) Zbl 1382.81118 Ann. Phys. 388, 26-53 (2018). MSC: 81R30 81Q12 PDFBibTeX XMLCite \textit{O. Rosas-Ortiz} and \textit{K. Zelaya}, Ann. Phys. 388, 26--53 (2018; Zbl 1382.81118) Full Text: DOI arXiv Link
Roberts, Dale; Kalloniatis, Alexander C. Synchronisation under shocks: the Lévy Kuramoto model. (English) Zbl 1381.34054 Physica D 368, 10-21 (2018). MSC: 34C15 34D06 60H10 60G51 PDFBibTeX XMLCite \textit{D. Roberts} and \textit{A. C. Kalloniatis}, Physica D 368, 10--21 (2018; Zbl 1381.34054) Full Text: DOI Link
Wilson, Dan; Ermentrout, Bard Greater accuracy and broadened applicability of phase reduction using isostable coordinates. (English) Zbl 1392.92007 J. Math. Biol. 76, No. 1-2, 37-66 (2018). MSC: 92B05 34C15 PDFBibTeX XMLCite \textit{D. Wilson} and \textit{B. Ermentrout}, J. Math. Biol. 76, No. 1--2, 37--66 (2018; Zbl 1392.92007) Full Text: DOI
González-Gaxiola, O.; Chacón-Acosta, G.; Santiago, J. A. Nonlinear oscillations of a point charge in the electric field of charged ring using a particular He’s frequency-amplitude formulation. (English) Zbl 1384.34048 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 43, 10 p. (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C25 34A34 34C15 34A45 PDFBibTeX XMLCite \textit{O. González-Gaxiola} et al., Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 43, 10 p. (2018; Zbl 1384.34048) Full Text: DOI arXiv
Cveticanin, Livija Strongly nonlinear oscillators. Analytical solutions. 2nd edition. (English) Zbl 1367.70001 Mathematical Engineering. Cham: Springer (ISBN 978-3-319-58825-4/hbk; 978-3-319-58826-1/ebook). xii, 317 p. (2018). MSC: 70-01 70K40 70K55 34C15 34C28 PDFBibTeX XMLCite \textit{L. Cveticanin}, Strongly nonlinear oscillators. Analytical solutions. 2nd edition. Cham: Springer (2018; Zbl 1367.70001) Full Text: DOI