Verhulst, Ferdinand Multiple timing and spatial scaling for bifurcations. (English) Zbl 07728726 Nonlinear Dyn. 111, No. 12, 10693-10707 (2023). MSC: 70-XX PDFBibTeX XMLCite \textit{F. Verhulst}, Nonlinear Dyn. 111, No. 12, 10693--10707 (2023; Zbl 07728726) Full Text: DOI
Płociniczak, Łukasz; Wróblewska, Zofia Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. (English) Zbl 1434.34052 Nonlinear Dyn. 99, No. 4, 2693-2705 (2020). MSC: 34E10 34B15 70K60 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{Z. Wróblewska}, Nonlinear Dyn. 99, No. 4, 2693--2705 (2020; Zbl 1434.34052) Full Text: DOI arXiv
Abramian, Andrei K.; Vakulenko, Sergei A.; van Horssen, Wim T. On a simple oscillator problem describing ice-induced vibrations of an offshore structure. (English) Zbl 1430.34041 Nonlinear Dyn. 98, No. 1, 151-166 (2019). MSC: 34C15 34E05 37N99 PDFBibTeX XMLCite \textit{A. K. Abramian} et al., Nonlinear Dyn. 98, No. 1, 151--166 (2019; Zbl 1430.34041) Full Text: DOI
Tao, Yiwen; Li, Xueping; Ren, Jingli A repeated yielding model under periodic perturbation. (English) Zbl 1422.34175 Nonlinear Dyn. 94, No. 4, 2511-2525 (2018). MSC: 34E10 34C23 PDFBibTeX XMLCite \textit{Y. Tao} et al., Nonlinear Dyn. 94, No. 4, 2511--2525 (2018; Zbl 1422.34175) Full Text: DOI
Pender, Jamol; Rand, Richard H.; Wesson, Elizabeth An analysis of queues with delayed information and time-varying arrival rates. (English) Zbl 1392.90055 Nonlinear Dyn. 91, No. 4, 2411-2427 (2018). MSC: 90B22 PDFBibTeX XMLCite \textit{J. Pender} et al., Nonlinear Dyn. 91, No. 4, 2411--2427 (2018; Zbl 1392.90055) Full Text: DOI arXiv
Kiselev, O. M. Asymptotic behaviour of measure for captured trajectories into parametric autoresonance. (English) Zbl 1390.70053 Nonlinear Dyn. 91, No. 3, 1977-1983 (2018). MSC: 70J40 37C27 PDFBibTeX XMLCite \textit{O. M. Kiselev}, Nonlinear Dyn. 91, No. 3, 1977--1983 (2018; Zbl 1390.70053) Full Text: DOI arXiv
Di Salvo, Rosa; Gorgone, Matteo; Oliveri, Francesco A consistent approach to approximate Lie symmetries of differential equations. (English) Zbl 1390.34181 Nonlinear Dyn. 91, No. 1, 371-386 (2018). MSC: 34E10 34C14 35C06 35C20 58J37 58J70 PDFBibTeX XMLCite \textit{R. Di Salvo} et al., Nonlinear Dyn. 91, No. 1, 371--386 (2018; Zbl 1390.34181) Full Text: DOI arXiv
Jackson, Samuel; Gutschmidt, Stefanie; Roeser, Dennis; Sattel, Thomas Development of a mathematical model and analytical solution of a coupled two-beam array with nonlinear tip forces for application to AFM. (English) Zbl 1372.34091 Nonlinear Dyn. 87, No. 2, 775-787 (2017). MSC: 34E10 74K10 93C73 34E13 PDFBibTeX XMLCite \textit{S. Jackson} et al., Nonlinear Dyn. 87, No. 2, 775--787 (2017; Zbl 1372.34091) Full Text: DOI
Li, Lei; Zhang, Qi-chang Nonlinear dynamic analysis of electrically actuated viscoelastic bistable microbeam system. (English) Zbl 1371.74171 Nonlinear Dyn. 87, No. 1, 587-604 (2017). MSC: 74K10 74S05 70K44 74D10 34E10 34E13 PDFBibTeX XMLCite \textit{L. Li} and \textit{Q.-c. Zhang}, Nonlinear Dyn. 87, No. 1, 587--604 (2017; Zbl 1371.74171) Full Text: DOI
Hall, Cameron L.; Lustri, Christopher J. Multiple scales and matched asymptotic expansions for the discrete logistic equation. (English) Zbl 1355.39006 Nonlinear Dyn. 85, No. 2, 1345-1362 (2016). MSC: 39A12 39A28 34E13 PDFBibTeX XMLCite \textit{C. L. Hall} and \textit{C. J. Lustri}, Nonlinear Dyn. 85, No. 2, 1345--1362 (2016; Zbl 1355.39006) Full Text: DOI arXiv Link
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
Sandilo, Sajad H.; van Horssen, Wim T. On a cascade of autoresonances in an elevator cable system. (English) Zbl 1351.70019 Nonlinear Dyn. 80, No. 3, 1613-1630 (2015). MSC: 70J40 34D05 PDFBibTeX XMLCite \textit{S. H. Sandilo} and \textit{W. T. van Horssen}, Nonlinear Dyn. 80, No. 3, 1613--1630 (2015; Zbl 1351.70019) Full Text: DOI
Junca, Stéphane; Tong, Ly Limitation on the method of strained coordinates for vibrations with weak grazing unilateral contact. (English) Zbl 1345.34109 Nonlinear Dyn. 80, No. 1-2, 197-207 (2015). MSC: 34E10 70K75 34E13 34C60 37M05 37N05 PDFBibTeX XMLCite \textit{S. Junca} and \textit{L. Tong}, Nonlinear Dyn. 80, No. 1--2, 197--207 (2015; Zbl 1345.34109) Full Text: DOI HAL
Han, Ning; Cao, Qingjie; Liang, Tingwei A rotating disk linked by a pair of springs. (English) Zbl 1345.34075 Nonlinear Dyn. 79, No. 2, 1275-1291 (2015). MSC: 34C37 70H03 70H05 34C05 34E10 34C60 34C28 37D45 37M05 37N05 PDFBibTeX XMLCite \textit{N. Han} et al., Nonlinear Dyn. 79, No. 2, 1275--1291 (2015; Zbl 1345.34075) Full Text: DOI
Settimi, Valeria; Gottlieb, Oded; Rega, Giuseppe Asymptotic analysis of a noncontact AFM microcantilever sensor with external feedback control. (English) Zbl 1331.93074 Nonlinear Dyn. 79, No. 4, 2675-2698 (2015). MSC: 93B52 93C10 37M05 37N35 PDFBibTeX XMLCite \textit{V. Settimi} et al., Nonlinear Dyn. 79, No. 4, 2675--2698 (2015; Zbl 1331.93074) Full Text: DOI
Wu, Ruihua; Zou, Xiaoling; Wang, Ke Dynamical behavior of a competitive system under the influence of random disturbance and toxic substances. (English) Zbl 1331.92139 Nonlinear Dyn. 77, No. 4, 1209-1222 (2014). MSC: 92D25 34A12 34F05 34E10 PDFBibTeX XMLCite \textit{R. Wu} et al., Nonlinear Dyn. 77, No. 4, 1209--1222 (2014; Zbl 1331.92139) Full Text: DOI
Zhang, Yan-Lan; Luo, Mao-Kang Fractional Rayleigh-Duffing-like system and its synchronization. (English) Zbl 1268.34089 Nonlinear Dyn. 70, No. 2, 1173-1183 (2012). MSC: 34C37 34D06 34C15 34A08 34E10 PDFBibTeX XMLCite \textit{Y.-L. Zhang} and \textit{M.-K. Luo}, Nonlinear Dyn. 70, No. 2, 1173--1183 (2012; Zbl 1268.34089) Full Text: DOI
Cai, Meixiang; Cao, Hongjun Bifurcations of periodic orbits in Duffing equation with periodic damping and external excitations. (English) Zbl 1267.34102 Nonlinear Dyn. 70, No. 1, 453-462 (2012). MSC: 34E10 34C23 70K30 PDFBibTeX XMLCite \textit{M. Cai} and \textit{H. Cao}, Nonlinear Dyn. 70, No. 1, 453--462 (2012; Zbl 1267.34102) Full Text: DOI
Luongo, Angelo; Zulli, Daniele A paradigmatic system to study the transition from zero/Hopf to double-zero/Hopf bifurcation. (English) Zbl 1267.34067 Nonlinear Dyn. 70, No. 1, 111-124 (2012). MSC: 34C23 34C15 34C46 34E10 65L99 PDFBibTeX XMLCite \textit{A. Luongo} and \textit{D. Zulli}, Nonlinear Dyn. 70, No. 1, 111--124 (2012; Zbl 1267.34067) Full Text: DOI HAL
Sheheitli, Hiba; Rand, Richard H. Dynamics of a mass-spring-pendulum system with vastly different frequencies. (English) Zbl 1267.34065 Nonlinear Dyn. 70, No. 1, 25-41 (2012). MSC: 34C15 34E20 70E20 34E10 PDFBibTeX XMLCite \textit{H. Sheheitli} and \textit{R. H. Rand}, Nonlinear Dyn. 70, No. 1, 25--41 (2012; Zbl 1267.34065) Full Text: DOI
Huang, Yi-Shao; Wu, Min; He, Yong; Yu, Ling-Li; Zhu, Qi-Xin Decentralized adaptive fuzzy control of large-scale nonaffine nonlinear systems by state and output feedback. (English) Zbl 1263.93115 Nonlinear Dyn. 69, No. 4, 1665-1677 (2012). MSC: 93C40 93C42 34E10 65L99 PDFBibTeX XMLCite \textit{Y.-S. Huang} et al., Nonlinear Dyn. 69, No. 4, 1665--1677 (2012; Zbl 1263.93115) Full Text: DOI
Yamgoué, Serge Bruno On the harmonic balance with linearization for asymmetric single degree of freedom non-linear oscillators. (English) Zbl 1258.34075 Nonlinear Dyn. 69, No. 3, 1051-1062 (2012). MSC: 34C15 34A45 34C25 34E10 PDFBibTeX XMLCite \textit{S. B. Yamgoué}, Nonlinear Dyn. 69, No. 3, 1051--1062 (2012; Zbl 1258.34075) Full Text: DOI
Suchorsky, M. K.; Rand, R. H. A pair of van der Pol oscillators coupled by fractional derivatives. (English) Zbl 1258.34074 Nonlinear Dyn. 69, No. 1-2, 313-324 (2012). MSC: 34C15 34A08 34D20 34E10 PDFBibTeX XMLCite \textit{M. K. Suchorsky} and \textit{R. H. Rand}, Nonlinear Dyn. 69, No. 1--2, 313--324 (2012; Zbl 1258.34074) Full Text: DOI
Suchorsky, M. K.; Sah, S. M.; Rand, R. H. Using delay to quench undesirable vibrations. (English) Zbl 1218.34085 Nonlinear Dyn. 62, No. 1-2, 407-416 (2010). Reviewer: Vasile Dragan (Bucureşti) MSC: 34K18 34E10 34K11 34K25 PDFBibTeX XMLCite \textit{M. K. Suchorsky} et al., Nonlinear Dyn. 62, No. 1--2, 407--416 (2010; Zbl 1218.34085) Full Text: DOI
Ponomareva, S. V.; van Horssen, W. T. On transversal vibrations of an axially moving string with a time-varying velocity. (English) Zbl 1193.74058 Nonlinear Dyn. 50, No. 1-2, 315-323 (2007). MSC: 74H45 74K05 74H10 PDFBibTeX XMLCite \textit{S. V. Ponomareva} and \textit{W. T. van Horssen}, Nonlinear Dyn. 50, No. 1--2, 315--323 (2007; Zbl 1193.74058) Full Text: DOI Link
Hijmissen, J. W.; van Horssen, W. T. On aspects of damping for a vertical beam with a tuned mass damper at the top. (English) Zbl 1193.74054 Nonlinear Dyn. 50, No. 1-2, 169-190 (2007). MSC: 74H45 74K10 74H55 74H10 PDFBibTeX XMLCite \textit{J. W. Hijmissen} and \textit{W. T. van Horssen}, Nonlinear Dyn. 50, No. 1--2, 169--190 (2007; Zbl 1193.74054) Full Text: DOI Link
Rand, Richard; Morrison, Tina \(2:1:1\) resonance in the quasi-periodic Mathieu equation. (English) Zbl 1132.34041 Nonlinear Dyn. 40, No. 2, 195-203 (2005). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E13 34E10 34C15 70K28 34C23 PDFBibTeX XMLCite \textit{R. Rand} and \textit{T. Morrison}, Nonlinear Dyn. 40, No. 2, 195--203 (2005; Zbl 1132.34041) Full Text: DOI
Zarubinskaya, M. A.; van Horssen, W. T. On the vibrations of a simply supported square plate on a weakly nonlinear elastic foundation. (English) Zbl 1113.74029 Nonlinear Dyn. 40, No. 1, 35-60 (2005). MSC: 74H45 74K20 74H10 74B20 PDFBibTeX XMLCite \textit{M. A. Zarubinskaya} and \textit{W. T. van Horssen}, Nonlinear Dyn. 40, No. 1, 35--60 (2005; Zbl 1113.74029) Full Text: DOI Link
Darmawijoyo; Van Horssen, W. T.; Clément, Ph. On a Rayleigh wave equation with boundary damping. (English) Zbl 1065.74038 Nonlinear Dyn. 33, No. 4, 399-429 (2003). Reviewer: Eugeni Syrkin (Khar’kov) MSC: 74J30 74H10 PDFBibTeX XMLCite \textit{Darmawijoyo} et al., Nonlinear Dyn. 33, No. 4, 399--429 (2003; Zbl 1065.74038) Full Text: DOI
Chatterjee, A. Harmonic balance based averaging: Approximate realizations of an asymptotic technique. (English) Zbl 1042.70017 Nonlinear Dyn. 32, No. 4, 323-343 (2003). MSC: 70K65 70K60 PDFBibTeX XMLCite \textit{A. Chatterjee}, Nonlinear Dyn. 32, No. 4, 323--343 (2003; Zbl 1042.70017) Full Text: DOI
Darmawijoyo; van Horssen, W. T. On boundary damping for a weakly nonlinear wave equation. (English) Zbl 1042.74021 Nonlinear Dyn. 30, No. 2, 179-191 (2002). MSC: 74H45 74K05 74H10 PDFBibTeX XMLCite \textit{Darmawijoyo} and \textit{W. T. van Horssen}, Nonlinear Dyn. 30, No. 2, 179--191 (2002; Zbl 1042.74021) Full Text: DOI
Andrianov, I. V.; Awrejcewicz, J. Methods of small and large \(\delta\) in the nonlinear dynamics – a comparative analysis. (English) Zbl 0963.70019 Nonlinear Dyn. 23, No. 1, 57-66 (2000). MSC: 70K60 34E10 PDFBibTeX XMLCite \textit{I. V. Andrianov} and \textit{J. Awrejcewicz}, Nonlinear Dyn. 23, No. 1, 57--66 (2000; Zbl 0963.70019) Full Text: DOI
Luongo, Angelo; Paolone, Achille Perturbation methods for bifurcation analysis from multiple nonresonant complex eigenvalues. (English) Zbl 0897.73029 Nonlinear Dyn. 14, No. 3, 193-210 (1997). MSC: 74H55 74H45 34C23 34E10 PDFBibTeX XMLCite \textit{A. Luongo} and \textit{A. Paolone}, Nonlinear Dyn. 14, No. 3, 193--210 (1997; Zbl 0897.73029) Full Text: DOI