Müller, Peter C.; Gürgöze, Metin On a superposition method for the approximate determination of the eigenfrequencies of nonlinear conservative oscillators. (English) Zbl 1242.34061 J. Sound Vib. 305, No. 4-5, 925-930 (2007). MSC: 34C15 34E10 PDFBibTeX XMLCite \textit{P. C. Müller} and \textit{M. Gürgöze}, J. Sound Vib. 305, No. 4--5, 925--930 (2007; Zbl 1242.34061) Full Text: DOI
Mickens, R. E. Iteration method solutions for conservative and limit-cycle \(x^{1/3}\) force oscillators. (English) Zbl 1243.34051 J. Sound Vib. 292, No. 3-5, 964-968 (2006). MSC: 34C15 34C05 34E10 34A45 70K05 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Sound Vib. 292, No. 3--5, 964--968 (2006; Zbl 1243.34051) Full Text: DOI
Hu, Hui A note on the frequency of nonlinear conservative oscillators. (English) Zbl 1243.34047 J. Sound Vib. 286, No. 3, 653-662 (2005). MSC: 34C15 34E10 PDFBibTeX XMLCite \textit{H. Hu}, J. Sound Vib. 286, No. 3, 653--662 (2005; Zbl 1243.34047) Full Text: DOI
Hu, H.; Xiong, Z. G. Comparison of two Lindstedt-Poincaré-type perturbation methods. (English) Zbl 1236.34050 J. Sound Vib. 278, No. 1-2, 437-444 (2004). MSC: 34C15 34E10 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Z. G. Xiong}, J. Sound Vib. 278, No. 1--2, 437--444 (2004; Zbl 1236.34050) Full Text: DOI
Yang, C. H.; Zhu, S. M.; Chen, S. H. A modified elliptic Lindstedt-Poincaré method for certain strongly non-linear oscillators. (English) Zbl 1236.34056 J. Sound Vib. 273, No. 4-5, 921-932 (2004). MSC: 34C15 34C26 34E10 65L06 PDFBibTeX XMLCite \textit{C. H. Yang} et al., J. Sound Vib. 273, No. 4--5, 921--932 (2004; Zbl 1236.34056) Full Text: DOI
Hu, H. A classical perturbation technique that works even when the linear part of restoring force is zero. (English) Zbl 1236.34082 J. Sound Vib. 271, No. 3-5, 1175-1179 (2004). MSC: 34E10 PDFBibTeX XMLCite \textit{H. Hu}, J. Sound Vib. 271, No. 3--5, 1175--1179 (2004; Zbl 1236.34082) Full Text: DOI
Hu, H. A classical perturbation technique which is valid for large parameters. (English) Zbl 1236.65106 J. Sound Vib. 269, No. 1-2, 409-412 (2004). MSC: 65L99 34E10 PDFBibTeX XMLCite \textit{H. Hu}, J. Sound Vib. 269, No. 1--2, 409--412 (2004; Zbl 1236.65106) Full Text: DOI
Andrianov, Igor V.; Awrejcewicz, Jan Asymptotical behaviour of a system with damping and high power-form non-linearity. (English) Zbl 1236.34080 J. Sound Vib. 267, No. 5, 1169-1174 (2003). MSC: 34E05 34E10 PDFBibTeX XMLCite \textit{I. V. Andrianov} and \textit{J. Awrejcewicz}, J. Sound Vib. 267, No. 5, 1169--1174 (2003; Zbl 1236.34080) Full Text: DOI
Alam, M. Shamsul Unified Krylov-Bogoliubov-mitropolskii method for solving \(n\)th order non-linear systems with slowly varying coefficients. (English) Zbl 1236.34081 J. Sound Vib. 265, No. 5, 987-1002 (2003). MSC: 34E10 PDFBibTeX XMLCite \textit{M. S. Alam}, J. Sound Vib. 265, No. 5, 987--1002 (2003; Zbl 1236.34081) Full Text: DOI
Cveticanin, L. Analytical solutions of the system of two coupled pure cubic non-linear oscillators equations. (English) Zbl 1237.34057 J. Sound Vib. 245, No. 3, 571-580 (2001). MSC: 34C15 34E05 34E10 PDFBibTeX XMLCite \textit{L. Cveticanin}, J. Sound Vib. 245, No. 3, 571--580 (2001; Zbl 1237.34057) Full Text: DOI
Belhaq, M.; Lakrad, F. The elliptic multiple scales method for a class of autonomous strongly non-linear oscillators. (English) Zbl 1237.34036 J. Sound Vib. 234, No. 3, 547-553 (2000). MSC: 34C05 34E10 PDFBibTeX XMLCite \textit{M. Belhaq} and \textit{F. Lakrad}, J. Sound Vib. 234, No. 3, 547--553 (2000; Zbl 1237.34036) Full Text: DOI
Yu, P. Computation of normal forms via a perturbation technique. (English) Zbl 1235.34126 J. Sound Vib. 211, No. 1, 19-38 (1998). MSC: 34C20 34C15 34E10 37N35 70K99 PDFBibTeX XMLCite \textit{P. Yu}, J. Sound Vib. 211, No. 1, 19--38 (1998; Zbl 1235.34126) Full Text: DOI Link
Zhang, Zhi Kang; Wang, R.; Kusumoto, S. Asymptotic solution of a class of non-linear non-autonomous systems with large damping under multiple external periodic forces. (English) Zbl 1232.70036 J. Sound Vib. 190, No. 4, 611-627 (1996). MSC: 70K99 34C15 34E10 PDFBibTeX XMLCite \textit{Z. K. Zhang} et al., J. Sound Vib. 190, No. 4, 611--627 (1996; Zbl 1232.70036) Full Text: DOI
Sarma, M. S.; Beena, A. P.; Rao, B. Nageswara Applicability of the perturbatioqn technique to the periodic solution of \(\ddot x+\alpha x+\beta x^2+\gamma x^3=0\). (English) Zbl 1237.70067 J. Sound Vib. 180, No. 1, 177-184 (1995). MSC: 70K25 70-08 34A45 34C15 34E10 PDFBibTeX XMLCite \textit{M. S. Sarma} et al., J. Sound Vib. 180, No. 1, 177--184 (1995; Zbl 1237.70067) Full Text: DOI
Cveticanin, L. An approximate solution for a system of two coupled differential equations. (English) Zbl 0925.34071 J. Sound Vib. 152, No. 2, 375-380 (1992). MSC: 34E10 74H45 PDFBibTeX XMLCite \textit{L. Cveticanin}, J. Sound Vib. 152, No. 2, 375--380 (1992; Zbl 0925.34071) Full Text: DOI
Guttalu, R. S.; Flashner, H. Periodic solutions of non-linear autonomous systems by approximate point mappings. (English) Zbl 1235.65078 J. Sound Vib. 129, No. 2, 291-311 (1989). MSC: 65L06 34C25 34E10 37N05 70K99 PDFBibTeX XMLCite \textit{R. S. Guttalu} and \textit{H. Flashner}, J. Sound Vib. 129, No. 2, 291--311 (1989; Zbl 1235.65078) Full Text: DOI
Nayfeh, A. H. Combination tones in the response of single degree of freedom systems with quadratic and cubic nonlinearities. (English) Zbl 0538.70026 J. Sound Vib. 92, 379-386 (1984). Reviewer: E.Brommundt MSC: 70K30 70K40 34E10 PDFBibTeX XMLCite \textit{A. H. Nayfeh}, J. Sound Vib. 92, 379--386 (1984; Zbl 0538.70026) Full Text: DOI
Nayfeh, A. H. The response of single degree of freedom systems with quadratic and cubic nonlinearities to a subharmonic excitation. (English) Zbl 0544.70034 J. Sound Vib. 89, 457-470 (1983). Reviewer: E.Brommundt MSC: 70K99 34E10 PDFBibTeX XMLCite \textit{A. H. Nayfeh}, J. Sound Vib. 89, 457--470 (1983; Zbl 0544.70034) Full Text: DOI
Leppington, F. G. On the theory of woodwind finger holes. (English) Zbl 0512.76080 J. Sound Vib. 83, 521-532 (1982). MSC: 76Q05 45M05 45F99 41A60 PDFBibTeX XMLCite \textit{F. G. Leppington}, J. Sound Vib. 83, 521--532 (1982; Zbl 0512.76080) Full Text: DOI
Holmes, C.; Holmes, P. Second order averaging and bifurcations to subharmonics in Duffing’s equation. (English) Zbl 0478.73028 J. Sound Vib. 78, 161-174 (1981). MSC: 74G60 34C29 74S30 34E10 74J99 PDFBibTeX XMLCite \textit{C. Holmes} and \textit{P. Holmes}, J. Sound Vib. 78, 161--174 (1981; Zbl 0478.73028) Full Text: DOI
Lakshmanan, M. On a non-linear harmonic oscillator. (English) Zbl 0402.34045 J. Sound Vib. 64, 458-461 (1979). MSC: 34E10 70K99 PDFBibTeX XMLCite \textit{M. Lakshmanan}, J. Sound Vib. 64, 458--461 (1979; Zbl 0402.34045) Full Text: DOI
Mital, A. K. Comment on ”multiple time scaling for analysis of third order non-linear differential equations”. (English) Zbl 0411.34070 J. Sound Vib. 61, 135-140 (1978). MSC: 34D10 34A34 34E10 PDFBibTeX XMLCite \textit{A. K. Mital}, J. Sound Vib. 61, 135--140 (1978; Zbl 0411.34070) Full Text: DOI
Bojadziev, G. N. Forced vibrations of systems with retardation and damping. (English) Zbl 0388.34046 J. Sound Vib. 57, 79-88 (1978). MSC: 34K99 34E10 34C15 PDFBibTeX XMLCite \textit{G. N. Bojadziev}, J. Sound Vib. 57, 79--88 (1978; Zbl 0388.34046) Full Text: DOI
Tiwari, R. N.; Subramanian, R. Multiple time scaling for analysis of third order non-linear differential equations. (English) Zbl 0401.34038 J. Sound Vib. 52, 165-169 (1977). MSC: 34D10 34E10 PDFBibTeX XMLCite \textit{R. N. Tiwari} and \textit{R. Subramanian}, J. Sound Vib. 52, 165--169 (1977; Zbl 0401.34038) Full Text: DOI
Beshai, M. E.; Dokainish, M. A. The transient response of a forced non-linear system. (English) Zbl 0331.34050 J. Sound Vibration 41, 53-62 (1975). MSC: 34E10 70K99 34C25 PDFBibTeX XMLCite \textit{M. E. Beshai} and \textit{M. A. Dokainish}, J. Sound Vib. 41, 53--62 (1975; Zbl 0331.34050) Full Text: DOI