Bui, The Anh; Bui, The Quan; Duong, Xuan Thinh Regularity estimates for the Cauchy problem to a parabolic equation associated to fractional harmonic oscillators. (English) Zbl 07308686 J. Differ. Equations 279, 162-197 (2021). MSC: 35R11 35K08 35B65 35Q80 35K55 47J35 92C17 PDF BibTeX XML Cite \textit{T. A. Bui} et al., J. Differ. Equations 279, 162--197 (2021; Zbl 07308686) Full Text: DOI
Demina, Maria V. Liouvillian integrability of the generalized Duffing oscillators. (English) Zbl 07301487 Anal. Math. Phys. 11, No. 1, Paper No. 25, 18 p. (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34A34 34C05 PDF BibTeX XML Cite \textit{M. V. Demina}, Anal. Math. Phys. 11, No. 1, Paper No. 25, 18 p. (2021; Zbl 07301487) Full Text: DOI
Caldarola, Fabio; Pantano, Pietro; Bilotta, Eleonora Computation of supertrack functions for Chua’s oscillator and for Chua’s circuit with memristor. (English) Zbl 07280106 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105568, 17 p. (2021). MSC: 94C05 34C28 70K55 PDF BibTeX XML Cite \textit{F. Caldarola} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105568, 17 p. (2021; Zbl 07280106) Full Text: DOI
Biswas, Subhadip; Chowdhury, Pratyusha; Bhattacharjee, Jayanta K. Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator. (English) Zbl 07274929 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105537, 13 p. (2021). MSC: 34C15 34D20 PDF BibTeX XML Cite \textit{S. Biswas} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105537, 13 p. (2021; Zbl 07274929) Full Text: DOI
Kudryashov, Nikolay A. The generalized Duffing oscillator. (English) Zbl 07274921 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105526, 16 p. (2021). MSC: 34C15 34C25 34A05 PDF BibTeX XML Cite \textit{N. A. Kudryashov}, Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105526, 16 p. (2021; Zbl 07274921) Full Text: DOI
Shakirova, A. A.; Firstov, P. P.; Parovik, R. I. Phenomenological model of the generation of the seismic mode “drumbeats” earthquakes accompanying the eruption of Kizimen volcano in 2011–2012. (Russian. English summary) Zbl 07314760 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2020, No. 4(33), 86-101 (2020). MSC: 86A70 PDF BibTeX XML Cite \textit{A. A. Shakirova} et al., Vestn. KRAUNTS, Fiz.-Mat. Nauki 2020, No. 4(33), 86--101 (2020; Zbl 07314760) Full Text: DOI MNR
Anjum, Naveed; He, Ji-Huan Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly. (English) Zbl 07312244 Int. J. Mod. Phys. B 34, No. 32, Article ID 2050313, 9 p. (2020). MSC: 34A45 34C15 34C25 PDF BibTeX XML Cite \textit{N. Anjum} and \textit{J.-H. He}, Int. J. Mod. Phys. B 34, No. 32, Article ID 2050313, 9 p. (2020; Zbl 07312244) Full Text: DOI
Zhang, Yu; Li, Luyu; Guo, Yuanbo; Zhang, Xiaohua On the nonlinear optimal control of TORA system based on \(\theta\)-D approximation. (Chinese. English summary) Zbl 07294819 Acta Autom. Sin. 46, No. 7, 1401-1410 (2020). MSC: 93C10 93C15 49J15 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Acta Autom. Sin. 46, No. 7, 1401--1410 (2020; Zbl 07294819) Full Text: DOI
Fa, Kwok Sau Fractional oscillator noise and its applications. (English) Zbl 1451.34008 Int. J. Mod. Phys. B 34, No. 26, Article ID 2050234, 12 p. (2020). MSC: 34A08 34C15 34F05 PDF BibTeX XML Cite \textit{K. S. Fa}, Int. J. Mod. Phys. B 34, No. 26, Article ID 2050234, 12 p. (2020; Zbl 1451.34008) Full Text: DOI
Gatti, Gianluca Statics and dynamics of a nonlinear oscillator with quasi-zero stiffness behaviour for large deflections. (English) Zbl 07265150 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105143, 10 p. (2020). MSC: 70 74 PDF BibTeX XML Cite \textit{G. Gatti}, Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105143, 10 p. (2020; Zbl 07265150) Full Text: DOI
Saha, Sandip; Gangopadhyay, Gautam; Shankar Ray, Deb Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators. (English) Zbl 07261648 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105234, 11 p. (2020). Reviewer: Alexander Grin (Grodno) MSC: 34A34 34C15 34C05 PDF BibTeX XML Cite \textit{S. Saha} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105234, 11 p. (2020; Zbl 07261648) Full Text: DOI
Villarini, Massimo A rigidity property of perturbations of \(n\) identical harmonic oscillators. (English) Zbl 1452.37025 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 86, 27 p. (2020). Reviewer: Alexey O. Remizov (Moskva) MSC: 37C20 37C15 34D10 34C15 PDF BibTeX XML Cite \textit{M. Villarini}, Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 86, 27 p. (2020; Zbl 1452.37025) Full Text: DOI
Wang, Z.; Panahi, S.; Khalaf, A. J. M.; Jafari, S.; Hussain, I. Synchronization of chaotic jerk systems. (English) Zbl 1443.34037 Int. J. Mod. Phys. B 34, No. 20, Article ID 2050189, 9 p. (2020). MSC: 34C15 34D06 34C60 34C28 PDF BibTeX XML Cite \textit{Z. Wang} et al., Int. J. Mod. Phys. B 34, No. 20, Article ID 2050189, 9 p. (2020; Zbl 1443.34037) Full Text: DOI
Frank, Till D.; Mongkolsakulvong, S. Amplitude equations and bifurcation diagrams for multifrequency synchronization of canonical-dissipative oscillators. (English) Zbl 1453.34077 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050101, 24 p. (2020). Reviewer: Hao Wu (Nanjing) MSC: 34D06 34C15 34C46 PDF BibTeX XML Cite \textit{T. D. Frank} and \textit{S. Mongkolsakulvong}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050101, 24 p. (2020; Zbl 1453.34077) Full Text: DOI
Korneev, Ivan A.; Semenov, Vladimir V.; Vadivasova, Tatiana E. Synchronization of periodic self-oscillators interacting via memristor-based coupling. (English) Zbl 1448.34074 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050096, 10 p. (2020). MSC: 34C15 34D06 34C05 94C60 PDF BibTeX XML Cite \textit{I. A. Korneev} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050096, 10 p. (2020; Zbl 1448.34074) Full Text: DOI
Yi, Xuejun; Ren, Ling; Zhang, Zhengqiu New criteria on global asymptotic synchronization of Duffing-type oscillator system. (English) Zbl 07216296 Nonlinear Anal., Model. Control 25, No. 3, 378-399 (2020). MSC: 34D06 34C15 37C60 PDF BibTeX XML Cite \textit{X. Yi} et al., Nonlinear Anal., Model. Control 25, No. 3, 378--399 (2020; Zbl 07216296) Full Text: DOI
Pego, Robert L.; Velázquez, Juan J. L. Temporal oscillations in Becker-Döring equations with atomization. (English) Zbl 1444.34065 Nonlinearity 33, No. 4, 1812-1846 (2020). MSC: 34C60 82C99 34C23 34C05 34C15 PDF BibTeX XML Cite \textit{R. L. Pego} and \textit{J. J. L. Velázquez}, Nonlinearity 33, No. 4, 1812--1846 (2020; Zbl 1444.34065) Full Text: DOI
Ismail, Mourad E. H.; Saad, Nasser The asymptotic iteration method revisited. (English) Zbl 1443.34021 J. Math. Phys. 61, No. 3, 033501, 12 p. (2020). MSC: 34A45 34B07 34B09 34A30 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{N. Saad}, J. Math. Phys. 61, No. 3, 033501, 12 p. (2020; Zbl 1443.34021) Full Text: DOI
Bruschi, David Edward Time evolution of two harmonic oscillators with cross-Kerr interactions. (English) Zbl 1439.81100 J. Math. Phys. 61, No. 3, 032102, 13 p. (2020). MSC: 81V80 81P17 81Q05 35Q55 82D20 81U15 PDF BibTeX XML Cite \textit{D. E. Bruschi}, J. Math. Phys. 61, No. 3, 032102, 13 p. (2020; Zbl 1439.81100) Full Text: DOI
Kopylova, Elena; Komech, Alexander Global attractor for 1D Dirac field coupled to nonlinear oscillator. (English) Zbl 1437.35600 Commun. Math. Phys. 375, No. 1, 573-603 (2020). MSC: 35Q41 35B41 35C08 35B40 42A38 35B32 35B05 35P30 PDF BibTeX XML Cite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) Full Text: DOI
Rojas, David Resonance of bounded isochronous oscillators. (English) Zbl 1443.34036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111680, 10 p. (2020). Reviewer: Vladimir Jacimovic (Podgorica) MSC: 34C15 70K30 34E10 PDF BibTeX XML Cite \textit{D. Rojas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111680, 10 p. (2020; Zbl 1443.34036) Full Text: DOI
Huang, Xipei; Lin, Lifeng; Wang, Huiqi Generalized stochastic resonance for a fractional noisy oscillator with random mass and random damping. (English) Zbl 1436.34061 J. Stat. Phys. 178, No. 5, 1201-1216 (2020). MSC: 34F15 34C15 34A08 34F05 37C60 34C60 PDF BibTeX XML Cite \textit{X. Huang} et al., J. Stat. Phys. 178, No. 5, 1201--1216 (2020; Zbl 1436.34061) Full Text: DOI
Cantisán, Julia; Coccolo, Mattia; Seoane, Jesús M.; Sanjuán, Miguel A. F. Delay-induced resonance in the time-delayed Duffing oscillator. (English) Zbl 1443.34069 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2030007, 15 p. (2020). MSC: 34K13 34K18 37C60 70K30 PDF BibTeX XML Cite \textit{J. Cantisán} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2030007, 15 p. (2020; Zbl 1443.34069) Full Text: DOI
Lynch, Stephen; Borresen, Jon; Roach, Paul; Kotter, Mark; Slevin, Mark Mathematical modeling of neuronal logic, memory and clocking circuits. (English) Zbl 1436.34048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050003, 16 p. (2020). MSC: 34C60 92C20 94C05 34C15 94C60 PDF BibTeX XML Cite \textit{S. Lynch} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050003, 16 p. (2020; Zbl 1436.34048) Full Text: DOI
Llibre, Jaume; Makhlouf, Amar On the periodic solutions of the relativistic driven harmonic oscillator. (English) Zbl 07177404 J. Math. Phys. 61, No. 1, 012501, 6 p. (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C25 34C29 34C15 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{A. Makhlouf}, J. Math. Phys. 61, No. 1, 012501, 6 p. (2020; Zbl 07177404) Full Text: DOI
Han, Qianqian; Yang, Xiao-Song Qualitative analysis of the Nosé-Hoover oscillator. (English) Zbl 1450.34026 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 8, 36 p. (2020). MSC: 34C15 34C05 34C45 PDF BibTeX XML Cite \textit{Q. Han} and \textit{X.-S. Yang}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 8, 36 p. (2020; Zbl 1450.34026) Full Text: DOI
Nakamura, Takumi; Yabuno, Hiroshi; Yano, Masatoshi Amplitude control of self-excited weakly coupled cantilevers for mass sensing using nonlinear velocity feedback control. (English) Zbl 1430.37122 Nonlinear Dyn. 99, No. 1, 85-97 (2020). MSC: 37N35 93B52 34C15 PDF BibTeX XML Cite \textit{T. Nakamura} et al., Nonlinear Dyn. 99, No. 1, 85--97 (2020; Zbl 1430.37122) Full Text: DOI
Rand, Richard H.; Zehnder, Alan T.; Shayak, B.; Bhaskar, Aditya Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators. (English) Zbl 1430.34049 Nonlinear Dyn. 99, No. 1, 73-83 (2020). MSC: 34C15 34C23 70K50 PDF BibTeX XML Cite \textit{R. H. Rand} et al., Nonlinear Dyn. 99, No. 1, 73--83 (2020; Zbl 1430.34049) Full Text: DOI
Yi, Bowen; Ortega, Romeo; Wu, Dongjun; Zhang, Weidong Orbital stabilization of nonlinear systems via Mexican sombrero energy shaping and pumping-and-damping injection. (English) Zbl 1430.93168 Automatica 112, Article ID 108661, 9 p. (2020). MSC: 93D15 93C10 PDF BibTeX XML Cite \textit{B. Yi} et al., Automatica 112, Article ID 108661, 9 p. (2020; Zbl 1430.93168) Full Text: DOI
Liu, Di; Li, Junlin; Meng, Yu Probabilistic response analysis for a class of nonlinear vibro-impact oscillator with bilateral constraints under colored noise excitation. (English) Zbl 1448.70058 Chaos Solitons Fractals 122, 179-188 (2019). MSC: 70L05 34F05 60H10 34A36 65C05 PDF BibTeX XML Cite \textit{D. Liu} et al., Chaos Solitons Fractals 122, 179--188 (2019; Zbl 1448.70058) Full Text: DOI
Zhang, Guoqi; Wu, Zhiqiang Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations. (English) Zbl 1448.34077 Chaos Solitons Fractals 127, 342-353 (2019). MSC: 34C15 34C27 34C60 34A45 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Z. Wu}, Chaos Solitons Fractals 127, 342--353 (2019; Zbl 1448.34077) Full Text: DOI
Gritli, Hassène Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator. (English) Zbl 1448.93129 Chaos Solitons Fractals 127, 127-145 (2019). MSC: 93C10 34H10 93B52 PDF BibTeX XML Cite \textit{H. Gritli}, Chaos Solitons Fractals 127, 127--145 (2019; Zbl 1448.93129) Full Text: DOI
Semenov, Mikhail E.; Reshetova, Olga O.; Tolkachev, Akim V.; Solovyov, Andrey M.; Meleshenko, Peter A. Oscillations under hysteretic conditions: from simple oscillator to discrete sine-Gordon model. (English) Zbl 1452.70017 Belhaq, Mohamed (ed.), Topics in nonlinear mechanics and physics. Selected papers from CSNDD 2018, the 4th international conference on structural nonlinear dynamics and diagnosis, Tangier, Morocco, June 25–27, 2018. Singapore: Springer. Springer Proc. Phys. 228, 229-253 (2019). MSC: 70K30 70F40 70L05 PDF BibTeX XML Cite \textit{M. E. Semenov} et al., Springer Proc. Phys. 228, 229--253 (2019; Zbl 1452.70017) Full Text: DOI
Ghouli, Zakaria; Hamdi, Mustapha; Belhaq, Mohamed The delayed van der Pol oscillator and energy harvesting. (English) Zbl 1452.70020 Belhaq, Mohamed (ed.), Topics in nonlinear mechanics and physics. Selected papers from CSNDD 2018, the 4th international conference on structural nonlinear dynamics and diagnosis, Tangier, Morocco, June 25–27, 2018. Singapore: Springer. Springer Proc. Phys. 228, 89-109 (2019). MSC: 70K40 70K50 70K43 74F15 PDF BibTeX XML Cite \textit{Z. Ghouli} et al., Springer Proc. Phys. 228, 89--109 (2019; Zbl 1452.70020) Full Text: DOI
Man’ko, V. I.; Markovich, L. A. Quantum tomography of time-dependent nonlinear Hamiltonian systems. (English) Zbl 1441.81095 Rep. Math. Phys. 83, No. 1, 87-106 (2019). MSC: 81Q10 81P16 81P18 PDF BibTeX XML Cite \textit{V. I. Man'ko} and \textit{L. A. Markovich}, Rep. Math. Phys. 83, No. 1, 87--106 (2019; Zbl 1441.81095) Full Text: DOI
Vanvinckenroye, H.; Kougioumtzoglou, I. A.; Denoël, V. Reliability function determination of nonlinear oscillators under evolutionary stochastic excitation via a Galerkin projection technique. (English) Zbl 1439.35594 Nonlinear Dyn. 95, No. 1, 293-308 (2019). MSC: 35R60 65M60 65C30 PDF BibTeX XML Cite \textit{H. Vanvinckenroye} et al., Nonlinear Dyn. 95, No. 1, 293--308 (2019; Zbl 1439.35594) Full Text: DOI
Du, Hai-En; Er, Guo-Kang; Iu, Vai Pan Parameter-splitting perturbation method for the improved solutions to strongly nonlinear systems. (English) Zbl 1437.70033 Nonlinear Dyn. 96, No. 3, 1847-1863 (2019). MSC: 70K40 34C15 34E13 PDF BibTeX XML Cite \textit{H.-E. Du} et al., Nonlinear Dyn. 96, No. 3, 1847--1863 (2019; Zbl 1437.70033) Full Text: DOI
Makarem, H.; Pishkenari, H. N.; Vossoughi, G. R. A quasi-Gaussian approximation method for the Duffing oscillator with colored additive random excitation. (English) Zbl 1437.60032 Nonlinear Dyn. 96, No. 2, 825-835 (2019). MSC: 60H10 34F05 37H10 PDF BibTeX XML Cite \textit{H. Makarem} et al., Nonlinear Dyn. 96, No. 2, 825--835 (2019; Zbl 1437.60032) Full Text: DOI
Li, Na; Wei, Junjie Bifurcation analysis in a nonlinear electro-optical oscillator with delayed bandpass feedback. (English) Zbl 1437.70030 Nonlinear Dyn. 96, No. 1, 483-496 (2019). MSC: 70K30 34C60 70K50 34C15 PDF BibTeX XML Cite \textit{N. Li} and \textit{J. Wei}, Nonlinear Dyn. 96, No. 1, 483--496 (2019; Zbl 1437.70030) Full Text: DOI
Nhat, Le Anh Pseudospectral method for second-order autonomous nonlinear differential equations. (English) Zbl 1442.65123 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 1, 61-72 (2019). MSC: 65L05 65P10 34B15 PDF BibTeX XML Cite \textit{L. A. Nhat}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 1, 61--72 (2019; Zbl 1442.65123) Full Text: DOI MNR
Kiselev, Oleg M. Conditions for phase locking and dephasing of autoresonant pumping. (English) Zbl 07209781 Nelineĭn. Din. 15, No. 3, 381-394 (2019). MSC: 70 PDF BibTeX XML Cite \textit{O. M. Kiselev}, Nelineĭn. Din. 15, No. 3, 381--394 (2019; Zbl 07209781) Full Text: DOI MNR
von Wagner, U.; Lentz, L. On the detection of artifacts in harmonic balance solutions of nonlinear oscillators. (English) Zbl 07183346 Appl. Math. Modelling 65, 408-414 (2019). MSC: 34 65 PDF BibTeX XML Cite \textit{U. von Wagner} and \textit{L. Lentz}, Appl. Math. Modelling 65, 408--414 (2019; Zbl 07183346) Full Text: DOI
Kruglov, Vyacheslav P.; Kuznetsov, Sergey P. Topaj-Pikovsky involution in the Hamiltonian lattice of locally coupled oscillators. (English) Zbl 1435.37099 Regul. Chaotic Dyn. 24, No. 6, 725-738 (2019). MSC: 37K60 37K06 35Q55 37M21 PDF BibTeX XML Cite \textit{V. P. Kruglov} and \textit{S. P. Kuznetsov}, Regul. Chaotic Dyn. 24, No. 6, 725--738 (2019; Zbl 1435.37099) Full Text: DOI
Skurativskyi, Sergii; Kudra, Grzegorz; Witkowski, Krzysztof; Awrejcewicz, Jan Bifurcation phenomena and statistical regularities in dynamics of forced impacting oscillator. (English) Zbl 1430.70075 Nonlinear Dyn. 98, No. 3, 1795-1806 (2019). MSC: 70K40 70K50 70K55 PDF BibTeX XML Cite \textit{S. Skurativskyi} et al., Nonlinear Dyn. 98, No. 3, 1795--1806 (2019; Zbl 1430.70075) Full Text: DOI
Kalaga, J. K.; Kowalewska-Kudłaszyk, A.; Jarosik, M. W.; Szczȩśniak, R.; Leoński, W. Enhancement of the entanglement generation via randomly perturbed series of external pulses in a nonlinear Bose-Hubbard dimer. (English) Zbl 1430.81035 Nonlinear Dyn. 97, No. 2, 1619-1633 (2019). MSC: 81Q80 81P40 PDF BibTeX XML Cite \textit{J. K. Kalaga} et al., Nonlinear Dyn. 97, No. 2, 1619--1633 (2019; Zbl 1430.81035) Full Text: DOI
Perkins, Edmon Restricted normal mode analysis and chaotic response of P-mode intrinsic localized mode. (English) Zbl 1430.70072 Nonlinear Dyn. 97, No. 2, 955-966 (2019). MSC: 70K40 70K30 70K50 PDF BibTeX XML Cite \textit{E. Perkins}, Nonlinear Dyn. 97, No. 2, 955--966 (2019; Zbl 1430.70072) Full Text: DOI
Cintra, Daniel; Cumunel, Gwendal; Argoul, Pierre Experimental study of the argumental transverse vibration of a beam excited through intermittent elastic contact by a harmonic axial motion. (English) Zbl 1430.74082 Nonlinear Dyn. 97, No. 2, 903-919 (2019). MSC: 74K10 70K30 PDF BibTeX XML Cite \textit{D. Cintra} et al., Nonlinear Dyn. 97, No. 2, 903--919 (2019; Zbl 1430.74082) Full Text: DOI
Dudnikova, T. V. The limiting amplitude principle for the nonlinear Lamb system. (English) Zbl 1437.35069 Probl. Anal. Issues Anal. 8(26), No. 3, 45-62 (2019). MSC: 35B40 35L71 35L15 PDF BibTeX XML Cite \textit{T. V. Dudnikova}, Probl. Anal. Issues Anal. 8(26), No. 3, 45--62 (2019; Zbl 1437.35069) Full Text: DOI MNR
Saeed, Amir; Saeed, Umer Sine-cosine wavelet method for fractional oscillator equations. (English) Zbl 1439.65231 Math. Methods Appl. Sci. 42, No. 18, 6960-6971 (2019). MSC: 65T60 65L60 34A08 34C15 PDF BibTeX XML Cite \textit{A. Saeed} and \textit{U. Saeed}, Math. Methods Appl. Sci. 42, No. 18, 6960--6971 (2019; Zbl 1439.65231) Full Text: DOI
Yang, Zhe; Chen, Guohai; Yang, Dixiong A recursive analytical algorithm for dynamics analysis of nonlinear oscillators based on Riemannian geometry. (Chinese. English summary) Zbl 07155682 Chin. J. Comput. Mech. 36, No. 3, 310-316 (2019). MSC: 65L 34A25 34C15 34C40 PDF BibTeX XML Cite \textit{Z. Yang} et al., Chin. J. Comput. Mech. 36, No. 3, 310--316 (2019; Zbl 07155682) Full Text: DOI
Bick, Christian Heteroclinic dynamics of localized frequency synchrony: heteroclinic cycles for small populations. (English) Zbl 1431.34045 J. Nonlinear Sci. 29, No. 6, 2547-2570 (2019). MSC: 34C15 34C28 34C37 34D06 92B20 PDF BibTeX XML Cite \textit{C. Bick}, J. Nonlinear Sci. 29, No. 6, 2547--2570 (2019; Zbl 1431.34045) Full Text: DOI
Ben Hamed, Bassem; Gargouri, Ameni; Gavrilov, Lubomir Cubic perturbations of symmetric elliptic Hamiltonians of degree four in a complex domain. (English) Zbl 07130662 Bull. Sci. Math. 157, Article ID 102796, 21 p. (2019). MSC: 34C15 34E10 34C05 PDF BibTeX XML Cite \textit{B. Ben Hamed} et al., Bull. Sci. Math. 157, Article ID 102796, 21 p. (2019; Zbl 07130662) Full Text: DOI arXiv
Masmaliev, G. M.; Khanmamedov, A. Kh. Transformation operators for perturbed harmonic oscillators. (English. Russian original) Zbl 1440.34002 Math. Notes 105, No. 5, 728-733 (2019); translation from Mat. Zametki 105, No. 5, 740-746 (2019). Reviewer: Yaudat Sultanaev (Ufa) MSC: 34A05 34C15 34D05 34A30 PDF BibTeX XML Cite \textit{G. M. Masmaliev} and \textit{A. Kh. Khanmamedov}, Math. Notes 105, No. 5, 728--733 (2019; Zbl 1440.34002); translation from Mat. Zametki 105, No. 5, 740--746 (2019) Full Text: DOI
Dang Van Hieu A new approximate solution for a generalized nonlinear oscillator. (English) Zbl 1436.65207 Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 126, 13 p. (2019). MSC: 65P10 65L06 65L05 34A45 PDF BibTeX XML Cite \textit{Dang Van Hieu}, Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 126, 13 p. (2019; Zbl 1436.65207) Full Text: DOI
Praveen, J. Peter; Rao, B. Nageswara Uncertainties in the periodic solution of a truly non-linear oscillator differential equation using MDTM. (English) Zbl 1429.34044 Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 119, 11 p. (2019). MSC: 34C25 34C15 34A45 PDF BibTeX XML Cite \textit{J. P. Praveen} and \textit{B. N. Rao}, Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 119, 11 p. (2019; Zbl 1429.34044) Full Text: DOI
Krajňák, Vladimír; Wiggins, Stephen Dynamics of the Morse oscillator: analytical expressions for trajectories, action-angle variables, and chaotic dynamics. (English) Zbl 1433.37062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 11, Article ID 1950157, 8 p. (2019). MSC: 37J46 34C15 37J40 37D45 PDF BibTeX XML Cite \textit{V. Krajňák} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 11, Article ID 1950157, 8 p. (2019; Zbl 1433.37062) Full Text: DOI arXiv
Cong, Hongzi; Zhang, Qidi Remarks on nonlinear Schrödinger equations with the harmonic potential. (English) Zbl 1438.35386 Publ. Math. 95, No. 1-2, 205-217 (2019). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q55 PDF BibTeX XML Cite \textit{H. Cong} and \textit{Q. Zhang}, Publ. Math. 95, No. 1--2, 205--217 (2019; Zbl 1438.35386) Full Text: DOI
Li, Jiawei; Li, Sha; Guo, Ying; Huang, Duan Practical security analysis of self-referenced CV-QKD system in the presence of polarization aberration. (English) Zbl 1422.81086 Int. J. Theor. Phys. 58, No. 7, 2091-2105 (2019). MSC: 81P94 94A60 81V80 81P70 78A60 60G35 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Theor. Phys. 58, No. 7, 2091--2105 (2019; Zbl 1422.81086) Full Text: DOI
Enguiça, Ricardo; Ortega, Rafael Functions with average and bounded motions of a forced discontinuous oscillator. (English) Zbl 1443.34020 J. Dyn. Differ. Equations 31, No. 3, 1185-1198 (2019). Reviewer: Satoshi Tanaka (Sendai) MSC: 34A36 34C11 34C15 37C60 PDF BibTeX XML Cite \textit{R. Enguiça} and \textit{R. Ortega}, J. Dyn. Differ. Equations 31, No. 3, 1185--1198 (2019; Zbl 1443.34020) Full Text: DOI
Meyer, Kenneth R.; Schmidt, Dieter S. Bounding solutions of a forced oscillator. (English) Zbl 1423.34037 J. Dyn. Differ. Equations 31, No. 3, 1129-1139 (2019). MSC: 34C11 34C15 37E40 70H08 37C60 PDF BibTeX XML Cite \textit{K. R. Meyer} and \textit{D. S. Schmidt}, J. Dyn. Differ. Equations 31, No. 3, 1129--1139 (2019; Zbl 1423.34037) Full Text: DOI
Liu, Ruonan; Kang, Yanmei; Fu, Yuxuan; Chen, Guanrong Stochastic resonance and bifurcation of order parameter in a coupled system of underdamped Duffing oscillators. (English) Zbl 1426.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 8, Article ID 1950108, 16 p. (2019). MSC: 34F15 34C15 34F05 34F10 PDF BibTeX XML Cite \textit{R. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 8, Article ID 1950108, 16 p. (2019; Zbl 1426.34072) Full Text: DOI arXiv
Schließauf, Henrik Escaping orbits are rare in the quasi-periodic Littlewood boundedness problem. (English) Zbl 1427.37050 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 24, 21 p. (2019). Reviewer: Piotr Garbaczewski (Opole) MSC: 37J46 37J40 70K43 70K40 PDF BibTeX XML Cite \textit{H. Schließauf}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 24, 21 p. (2019; Zbl 1427.37050) Full Text: DOI
Olabodé, D. L.; Miwadinou, C. H.; Monwanou, V. A.; Chabi Orou, J. B. Effects of passive hydrodynamics force on harmonic and chaotic oscillations in nonlinear chemical dynamics. (English) Zbl 1415.92219 Physica D 386-387, 49-59 (2019). MSC: 92E20 34C28 34H10 PDF BibTeX XML Cite \textit{D. L. Olabodé} et al., Physica D 386--387, 49--59 (2019; Zbl 1415.92219) Full Text: DOI
Urenda-Cázares, E.; Espinoza, P. B.; Gallegos, A.; Jaimes-Reátegui, R.; Macías-Díaz, J. E.; Vargas-Rodríguez, H. The noisy Pais-Uhlenbeck oscillator. (English) Zbl 1417.81130 J. Math. Chem. 57, No. 5, 1314-1329 (2019). MSC: 81Q05 34F05 60H10 93E03 34C15 65L06 PDF BibTeX XML Cite \textit{E. Urenda-Cázares} et al., J. Math. Chem. 57, No. 5, 1314--1329 (2019; Zbl 1417.81130) Full Text: DOI
Giné, Jaume; Valls, Claudia The Liouvillian integrability of several oscillators. (English) Zbl 1422.34003 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950069, 11 p. (2019). MSC: 34A05 34C05 34C15 PDF BibTeX XML Cite \textit{J. Giné} and \textit{C. Valls}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950069, 11 p. (2019; Zbl 1422.34003) Full Text: DOI
Rajagopal, Karthikeyan; Khalaf, Abdul Jalil M.; Wei, Zhouchao; Pham, Viet-Thanh; Alsaedi, Ahmed; Hayat, Tasawar Hyperchaos and coexisting attractors in a modified van der Pol-Duffing oscillator. (English) Zbl 1422.34130 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950067, 17 p. (2019). MSC: 34C15 37C60 34C28 34C23 34D08 34D45 PDF BibTeX XML Cite \textit{K. Rajagopal} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950067, 17 p. (2019; Zbl 1422.34130) Full Text: DOI
Anjum, Naveed; He, Ji-Huan Laplace transform: making the variational iteration method easier. (English) Zbl 1414.34014 Appl. Math. Lett. 92, 134-138 (2019). MSC: 34A45 44A10 34C15 PDF BibTeX XML Cite \textit{N. Anjum} and \textit{J.-H. He}, Appl. Math. Lett. 92, 134--138 (2019; Zbl 1414.34014) Full Text: DOI
Saha, Sandip; Gangopadhyay, Gautam; Ray, Deb Shankar Reduction of kinetic equations to Liénard-Levinson-Smith form: counting limit cycles. (English) Zbl 1439.34040 Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 46, 11 p. (2019). MSC: 34C20 34A34 34C15 34C05 34C29 34C07 PDF BibTeX XML Cite \textit{S. Saha} et al., Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 46, 11 p. (2019; Zbl 1439.34040) Full Text: DOI
Skrzypacz, Piotr; Kadyrov, Shirali; Nurakhmetov, Daulet; Wei, Dongming Analysis of dynamic pull-in voltage of a graphene MEMS model. (English) Zbl 07030120 Nonlinear Anal., Real World Appl. 45, 581-589 (2019). MSC: 74H60 74F15 74H20 PDF BibTeX XML Cite \textit{P. Skrzypacz} et al., Nonlinear Anal., Real World Appl. 45, 581--589 (2019; Zbl 07030120) Full Text: DOI
Giné, Jaume; Valls, Claudia On the dynamics of the Rayleigh-Duffing oscillator. (English) Zbl 1415.34059 Nonlinear Anal., Real World Appl. 45, 309-319 (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34A05 34A34 PDF BibTeX XML Cite \textit{J. Giné} and \textit{C. Valls}, Nonlinear Anal., Real World Appl. 45, 309--319 (2019; Zbl 1415.34059) Full Text: DOI
Guha, Partha; Ghose-Choudhury, Anindya A note on generalization of the Ermakov-Lewis invariant and its demystification. (English) Zbl 1407.34050 Mod. Phys. Lett. A 34, No. 3, Article ID 1950021, 8 p. (2019). MSC: 34C14 34C15 PDF BibTeX XML Cite \textit{P. Guha} and \textit{A. Ghose-Choudhury}, Mod. Phys. Lett. A 34, No. 3, Article ID 1950021, 8 p. (2019; Zbl 1407.34050) Full Text: DOI
Raquépas, Renaud A note on Harris’ ergodic theorem, controllability and perturbations of harmonic networks. (English) Zbl 1407.93073 Ann. Henri Poincaré 20, No. 2, 605-629 (2019). MSC: 93B05 93C73 34C15 93B03 93C15 93D05 PDF BibTeX XML Cite \textit{R. Raquépas}, Ann. Henri Poincaré 20, No. 2, 605--629 (2019; Zbl 1407.93073) Full Text: DOI
Ortega, Rafael; Rojas, David Periodic oscillators, isochronous centers and resonance. (English) Zbl 1411.34051 Nonlinearity 32, No. 3, 800-832 (2019). Reviewer: Alessandro Fonda (Trieste) MSC: 34C15 34D05 34D10 34D23 34E10 34C11 PDF BibTeX XML Cite \textit{R. Ortega} and \textit{D. Rojas}, Nonlinearity 32, No. 3, 800--832 (2019; Zbl 1411.34051) Full Text: DOI
Gavrilik, Alexandre; Kachurik, Ivan Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators. (English) Zbl 1405.81036 Mod. Phys. Lett. A 34, No. 1, Article ID 1950007, 20 p. (2019). MSC: 81Q12 81R50 81R15 PDF BibTeX XML Cite \textit{A. Gavrilik} and \textit{I. Kachurik}, Mod. Phys. Lett. A 34, No. 1, Article ID 1950007, 20 p. (2019; Zbl 1405.81036) Full Text: DOI
Wu, Guozhen Molecular vibrations. An algebraic and nonlinear approach. (English) Zbl 1414.81012 Hackensack, NJ: World Scientific; Beijing: Science Press (ISBN 978-981-3270-69-5/hbk; 978-981-3270-71-8/ebook). xii, 235 p. (2019). Reviewer: Eugene Kryachko (Kyiv) MSC: 81-02 81V55 70J40 70K28 00A79 PDF BibTeX XML Cite \textit{G. Wu}, Molecular vibrations. An algebraic and nonlinear approach. Hackensack, NJ: World Scientific; Beijing: Science Press (2019; Zbl 1414.81012) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. S. S. Vieira} and \textit{T. A. Michtchenko}, Chaos Solitons Fractals 117, 276--282 (2018; Zbl 1442.70011) Full Text: DOI
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 PDF BibTeX XML Cite \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 07182479 Appl. Math. Modelling 61, 593-603 (2018). MSC: 35 70 PDF BibTeX XML Cite \textit{A. Gusso} and \textit{J. D. Pimentel}, Appl. Math. Modelling 61, 593--603 (2018; Zbl 07182479) Full Text: DOI
Ncube, Israel Finite time blow-up in a mathematical model of sub-atomic particle oscillations. (English) Zbl 07161222 Far East J. Dyn. Syst. 30, No. 3, 77-101 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C15 34C25 34C11 PDF BibTeX XML Cite \textit{I. Ncube}, Far East J. Dyn. Syst. 30, No. 3, 77--101 (2018; Zbl 07161222) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 07055896 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 44, No. 2, 285-294 (2018). MSC: 34A55 34L40 34C15 34L05 PDF BibTeX XML Cite \textit{S. M. Bagirova} and \textit{A. H. Khanmamedov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 44, No. 2, 285--294 (2018; Zbl 07055896)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{D. Ó Maoiléidigh} and \textit{A. J. Hudspeth}, Physica D 378--379, 33--45 (2018; Zbl 1404.34042) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
Enaka, Yukihide; Onitsuka, Masakazu Integral averaging technique for oscillation of damped half-linear oscillators. (English) Zbl 06986970 Czech. Math. J. 68, No. 3, 755-770 (2018). MSC: 34C10 34C15 PDF BibTeX XML Cite \textit{Y. Enaka} and \textit{M. Onitsuka}, Czech. Math. J. 68, No. 3, 755--770 (2018; Zbl 06986970) 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. Upravl. 2018, No. 4 (2018). MSC: 93B30 93C05 93C10 93C15 PDF BibTeX XML Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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