Alibakhshi, Amin; Rahmanian, Sasan; Destrade, Michel; Zurlo, Giuseppe Local and global dynamics of a functionally graded dielectric elastomer plate. (English) Zbl 07791659 Int. J. Eng. Sci. 195, Article ID 103987, 15 p. (2024). MSC: 74-XX 37-XX PDFBibTeX XMLCite \textit{A. Alibakhshi} et al., Int. J. Eng. Sci. 195, Article ID 103987, 15 p. (2024; Zbl 07791659) Full Text: DOI
Ge, Chuanfang; Geng, Jiansheng; Yi, Yingfei Quasi-periodic breathers in granular chains with Hertzian contact potential. (English) Zbl 1527.37081 J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023). MSC: 37K60 37K55 37J40 34C15 70K43 PDFBibTeX XMLCite \textit{C. Ge} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023; Zbl 1527.37081) Full Text: DOI
Antali, Mate Bifurcations of the limit directions in extended Filippov systems. (English) Zbl 1509.70026 Physica D 445, Article ID 133622, 13 p. (2023). MSC: 70K50 70E18 37N05 PDFBibTeX XMLCite \textit{M. Antali}, Physica D 445, Article ID 133622, 13 p. (2023; Zbl 1509.70026) Full Text: DOI
Luo, Jianfeng; Zhao, Yi Bifurcation analysis of a non-smooth prey-predator model by a differential linear complementarity system. (English) Zbl 07628009 Math. Comput. Simul. 205, 581-599 (2023). MSC: 34-XX 37-XX PDFBibTeX XMLCite \textit{J. Luo} and \textit{Y. Zhao}, Math. Comput. Simul. 205, 581--599 (2023; Zbl 07628009) Full Text: DOI
Wang, Zhixiang; Zhang, Chun; Bi, Qinsheng Bursting oscillations with adding-sliding structures in a Filippov-type Chua’s circuit. (English) Zbl 1498.34139 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106368, 17 p. (2022). MSC: 34C60 94C60 34A36 34C23 37C60 34C25 34C05 PDFBibTeX XMLCite \textit{Z. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106368, 17 p. (2022; Zbl 1498.34139) Full Text: DOI
Simoes, Alexandre Anahory; Martín de Diego, David; Valcázar, Manuel Lainz; de León, Manuel The geometry of some thermodynamic systems. (English) Zbl 1522.53068 Barbaresco, Frédéric (ed.) et al., Geometric structures of statistical physics, information geometry, and learning. Proceedings of the workshop on joint structures and common foundation of statistical physics, information geometry and inference for learning, SPIGL’20, Les Houches, France, July 27–31, 2020. Cham: Springer. Springer Proc. Math. Stat. 361, 247-275 (2021). Reviewer: Mircea Neagu (Braşov) MSC: 53D10 80A05 53Z05 37M15 PDFBibTeX XMLCite \textit{A. A. Simoes} et al., Springer Proc. Math. Stat. 361, 247--275 (2021; Zbl 1522.53068) Full Text: DOI arXiv
Qiao, Yanfen; Hou, Guolin; Chen, Alatancang A complete symplectic approach for a class of partial differential equations arising from the elasticity. (English) Zbl 1481.35362 Appl. Math. Modelling 89, Part 2, 1124-1139 (2021). MSC: 35Q74 37J11 74K20 PDFBibTeX XMLCite \textit{Y. Qiao} et al., Appl. Math. Modelling 89, Part 2, 1124--1139 (2021; Zbl 1481.35362) Full Text: DOI
Zhou, Biliu; Chen, Hebai; Xu, Huidong; Zhang, Jianwen Harmonic solutions for a class of non-autonomous piecewise linear oscillators. (English) Zbl 1484.34107 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105912, 15 p. (2021). Reviewer: Predrag Punosevac (Pittsburgh) MSC: 34C25 37C60 PDFBibTeX XMLCite \textit{B. Zhou} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105912, 15 p. (2021; Zbl 1484.34107) Full Text: DOI
Sun, Yangjian; Liu, Changjian The Poincaré bifurcation of a SD oscillator. (English) Zbl 1479.34063 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1565-1577 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C23 34C05 34C15 37J40 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{C. Liu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1565--1577 (2021; Zbl 1479.34063) Full Text: DOI
García-Azpeitia, Carlos; Krawcewicz, Wieslaw; Tejada-Wriedt, Manuel; Wu, Haopin Global nonlinear normal modes in the fullerene molecule \(C_{60}\). (English) Zbl 1469.82043 SIAM J. Appl. Dyn. Syst. 20, No. 1, 94-129 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 82D80 81V45 37G40 37G15 34C11 70H33 92E10 PDFBibTeX XMLCite \textit{C. García-Azpeitia} et al., SIAM J. Appl. Dyn. Syst. 20, No. 1, 94--129 (2021; Zbl 1469.82043) Full Text: DOI
Bacigalupo, Andrea; Gambarotta, Luigi Identification of non-local continua for lattice-like materials. (English) Zbl 07314428 Int. J. Eng. Sci. 159, Article ID 103430, 22 p. (2021). MSC: 74-XX 37-XX PDFBibTeX XMLCite \textit{A. Bacigalupo} and \textit{L. Gambarotta}, Int. J. Eng. Sci. 159, Article ID 103430, 22 p. (2021; Zbl 07314428) Full Text: DOI arXiv
Bhalekar, Sachin; Patil, Madhuri Nonexistence of invariant manifolds in fractional-order dynamical systems. (English) Zbl 1517.34003 Nonlinear Dyn. 102, No. 4, 2417-2431 (2020). MSC: 34A08 34C45 37D10 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{M. Patil}, Nonlinear Dyn. 102, No. 4, 2417--2431 (2020; Zbl 1517.34003) Full Text: DOI arXiv
Antali, Mate; Stepan, Gabor Bifurcations of limit directions at codimension-2 discontinuities of vector fields. (English) Zbl 1484.37053 Lacarbonara, Walter (ed.) et al., Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Cham: Springer. 87-95 (2020). MSC: 37G10 37C10 37C75 70E55 70E50 PDFBibTeX XMLCite \textit{M. Antali} and \textit{G. Stepan}, in: Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17--20, 2019. Volume I. Cham: Springer. 87--95 (2020; Zbl 1484.37053) Full Text: DOI
Makarenkov, Oleg Existence and stability of limit cycles in the model of a planar passive biped walking down a slope. (English) Zbl 1472.34062 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190450, 17 p. (2020). MSC: 34C05 34C23 34A36 34D10 37C25 70E50 PDFBibTeX XMLCite \textit{O. Makarenkov}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190450, 17 p. (2020; Zbl 1472.34062) Full Text: DOI arXiv Link
Borisov, A. V.; Tsiganov, A. V. On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich. (English) Zbl 1474.37074 Theor. Appl. Mech. (Belgrade) 47, No. 2, 155-168 (2020). MSC: 37J60 70F25 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Theor. Appl. Mech. (Belgrade) 47, No. 2, 155--168 (2020; Zbl 1474.37074) Full Text: DOI arXiv
Qu, Yilin; Li, Peng; Jin, Feng A general dynamic theoretical model of elastic micro-structures with consideration of couple stress effects and its application in mechanical analysis of size-dependent properties. (English) Zbl 1435.74075 Acta Mech. 231, No. 2, 471-488 (2020). MSC: 74M25 37N15 PDFBibTeX XMLCite \textit{Y. Qu} et al., Acta Mech. 231, No. 2, 471--488 (2020; Zbl 1435.74075) Full Text: DOI
Wu, Qiliang; Qi, Guoyuan Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load. (English) Zbl 1481.74367 Appl. Math. Modelling 83, 674-682 (2020). MSC: 74H60 35L57 35Q74 37G15 74H65 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{G. Qi}, Appl. Math. Modelling 83, 674--682 (2020; Zbl 1481.74367) Full Text: DOI
Lisbôa, Tales de Vargas; Marczak, Rogério José Application of Adomian-type method to solve rectangular laminated thick plates in bending. (English) Zbl 07805130 ZAMM, Z. Angew. Math. Mech. 99, No. 2, Article ID e201800151, 16 p. (2019). MSC: 65Zxx 35Qxx 37-XX PDFBibTeX XMLCite \textit{T. de V. Lisbôa} and \textit{R. J. Marczak}, ZAMM, Z. Angew. Math. Mech. 99, No. 2, Article ID e201800151, 16 p. (2019; Zbl 07805130) Full Text: DOI
Chen, D. H.; Liu, Q. X.; Chen, Y. M. A new bifurcation in non-smooth continuous system inducing semi-limit cycle. (English) Zbl 1480.37058 Phys. Lett., A 383, No. 16, 1888-1892 (2019). MSC: 37G15 37G10 PDFBibTeX XMLCite \textit{D. H. Chen} et al., Phys. Lett., A 383, No. 16, 1888--1892 (2019; Zbl 1480.37058) Full Text: DOI
Guo, Bingyong; Liu, Yang Three-dimensional map for a piecewise-linear capsule system with bidirectional drifts. (English) Zbl 1453.70010 Physica D 399, 95-107 (2019). MSC: 70K50 37N05 37M05 PDFBibTeX XMLCite \textit{B. Guo} and \textit{Y. Liu}, Physica D 399, 95--107 (2019; Zbl 1453.70010) Full Text: DOI Link
Zupan, Eva; Zupan, Dejan On conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams. (English) Zbl 1439.37080 Nonlinear Dyn. 95, No. 2, 1379-1394 (2019). MSC: 37M15 74K10 65M06 PDFBibTeX XMLCite \textit{E. Zupan} and \textit{D. Zupan}, Nonlinear Dyn. 95, No. 2, 1379--1394 (2019; Zbl 1439.37080) Full Text: DOI
Dong, Enzeng; Zhang, Zhijun; Yuan, Mingfeng; Ji, Yuehui; Zhou, Xuesong; Wang, Zenghui Ultimate boundary estimation and topological horseshoe analysis on a parallel 4D hyperchaotic system with any number of attractors and its multi-scroll. (English) Zbl 1437.37046 Nonlinear Dyn. 95, No. 4, 3219-3236 (2019). MSC: 37D45 37B40 37M22 PDFBibTeX XMLCite \textit{E. Dong} et al., Nonlinear Dyn. 95, No. 4, 3219--3236 (2019; Zbl 1437.37046) Full Text: DOI
Tao, Hongcheng; Gibert, James Periodic orbits of a conservative 2-DOF vibro-impact system by piecewise continuation: bifurcations and fractals. (English) Zbl 1437.70035 Nonlinear Dyn. 95, No. 4, 2963-2993 (2019). MSC: 70K42 37C27 70K75 PDFBibTeX XMLCite \textit{H. Tao} and \textit{J. Gibert}, Nonlinear Dyn. 95, No. 4, 2963--2993 (2019; Zbl 1437.70035) Full Text: DOI
Yan, Fei; Pan, Peng-Zhi; Feng, Xia-Ting; Li, Shao-Jun; Jiang, Quan A novel fast overrelaxation updating method for continuous-discontinuous cellular automaton. (English) Zbl 1481.37013 Appl. Math. Modelling 66, 156-174 (2019). MSC: 37B15 PDFBibTeX XMLCite \textit{F. Yan} et al., Appl. Math. Modelling 66, 156--174 (2019; Zbl 1481.37013) Full Text: DOI
Stender, Merten; Di Bartolomeo, Mariano; Massi, Francesco; Hoffmann, Norbert Revealing transitions in friction-excited vibrations by nonlinear time-series analysis. (English) Zbl 1430.74061 Nonlinear Dyn. 98, No. 4, 2613-2630 (2019). MSC: 74H45 70K55 37M10 PDFBibTeX XMLCite \textit{M. Stender} et al., Nonlinear Dyn. 98, No. 4, 2613--2630 (2019; Zbl 1430.74061) Full Text: DOI
Li, Denghui; Chen, Hebai; Xie, Jianhua Smale horseshoe in a piecewise smooth map. (English) Zbl 1411.37011 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1950051, 9 p. (2019). MSC: 37B10 37E30 37D45 PDFBibTeX XMLCite \textit{D. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1950051, 9 p. (2019; Zbl 1411.37011) Full Text: DOI
Morel, C.; Morel, J.-Y.; Danca, M. F. Generalization of the Filippov method for systems with a large periodic input. (English) Zbl 1491.34063 Math. Comput. Simul. 146, 1-13 (2018). MSC: 34C60 34C23 34D20 94C60 37C60 PDFBibTeX XMLCite \textit{C. Morel} et al., Math. Comput. Simul. 146, 1--13 (2018; Zbl 1491.34063) Full Text: DOI
Fokou Kenfack, W.; Siewe Siewe, Martin; Kofane, T. C. Sliding motion and bifurcation in saline oscillator’s model and liquid’s density measurement using saline oscillator. (English) Zbl 1415.37107 Chaos Solitons Fractals 114, 321-331 (2018). MSC: 37N20 37M05 34A36 34C23 34C60 PDFBibTeX XMLCite \textit{W. Fokou Kenfack} et al., Chaos Solitons Fractals 114, 321--331 (2018; Zbl 1415.37107) Full Text: DOI
Kilin, Alexander A.; Pivovarova, Elena N. Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges. (English) Zbl 1429.70002 Regul. Chaotic Dyn. 23, No. 7-8, 887-907 (2018). MSC: 70E15 70E18 70E40 37J60 PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 23, No. 7--8, 887--907 (2018; Zbl 1429.70002) Full Text: DOI
Howell, P. D. Asymptotic analysis of a dynamical system arising in thermoelastic contact. (English) Zbl 1403.37093 SIAM J. Appl. Math. 78, No. 6, 3145-3167 (2018). MSC: 37N15 41A60 74F05 74M10 74M15 PDFBibTeX XMLCite \textit{P. D. Howell}, SIAM J. Appl. Math. 78, No. 6, 3145--3167 (2018; Zbl 1403.37093) Full Text: DOI
Schweizer, Ben; Theil, Florian Lattice dynamics on large time scales and dispersive effective equations. (English) Zbl 1400.37097 SIAM J. Appl. Math. 78, No. 6, 3060-3086 (2018). MSC: 37K60 37L60 74J05 74J35 PDFBibTeX XMLCite \textit{B. Schweizer} and \textit{F. Theil}, SIAM J. Appl. Math. 78, No. 6, 3060--3086 (2018; Zbl 1400.37097) Full Text: DOI
Várkonyi, P. L. Transitions and singularities during slip motion of rigid bodies. (English) Zbl 1405.37074 Eur. J. Appl. Math. 29, No. 5, 778-804 (2018). MSC: 37J55 70F40 70E18 70K70 70F35 PDFBibTeX XMLCite \textit{P. L. Várkonyi}, Eur. J. Appl. Math. 29, No. 5, 778--804 (2018; Zbl 1405.37074) Full Text: DOI arXiv
Nordmark, Arne; Várkonyi, Peter L.; Champneys, Alan R. Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity. (English) Zbl 1393.70032 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1267-1309 (2018). MSC: 70F40 37N05 70H45 PDFBibTeX XMLCite \textit{A. Nordmark} et al., SIAM J. Appl. Dyn. Syst. 17, No. 2, 1267--1309 (2018; Zbl 1393.70032) Full Text: DOI arXiv
Pagnacco, Emmanuel; Sarrouy, Emmanuelle; Sampaio, R.; Souza de Cursi, E. Pitfalls in the frequency response represented onto polynomial chaos for random SDOF mechanical systems. (English) Zbl 1480.70035 Appl. Math. Modelling 52, 626-647 (2017). MSC: 70K55 37D45 PDFBibTeX XMLCite \textit{E. Pagnacco} et al., Appl. Math. Modelling 52, 626--647 (2017; Zbl 1480.70035) Full Text: DOI HAL
Koshkin, Sergiy; Jovanovic, Vojin Realization of non-holonomic constraints and singular perturbation theory for plane dumbbells. (English) Zbl 1383.37053 J. Eng. Math. 106, 123-141 (2017). MSC: 37J60 70F05 37J40 PDFBibTeX XMLCite \textit{S. Koshkin} and \textit{V. Jovanovic}, J. Eng. Math. 106, 123--141 (2017; Zbl 1383.37053) Full Text: DOI arXiv
Li, Yurong; Yuan, Liping; Du, Zhengdong Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with finitely many zones. (English) Zbl 1380.37106 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750162, 14 p. (2017). MSC: 37G15 34C07 70K05 PDFBibTeX XMLCite \textit{Y. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750162, 14 p. (2017; Zbl 1380.37106) Full Text: DOI
Wright, James A.; Bartuccelli, Michele; Gentile, Guido Comparisons between the pendulum with varying length and the pendulum with oscillating support. (English) Zbl 1373.37183 J. Math. Anal. Appl. 449, No. 2, 1684-1707 (2017). MSC: 37N05 70K42 70K30 70K28 34C15 PDFBibTeX XMLCite \textit{J. A. Wright} et al., J. Math. Anal. Appl. 449, No. 2, 1684--1707 (2017; Zbl 1373.37183) Full Text: DOI Link
Casetta, Leonardo; Irschik, Hans; Pesce, Celso Pupo A generalization of Noether’s theorem for a non-material volume. (English) Zbl 07775058 ZAMM, Z. Angew. Math. Mech. 96, No. 6, 696-706 (2016). MSC: 70Hxx 70Pxx 37Jxx PDFBibTeX XMLCite \textit{L. Casetta} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 6, 696--706 (2016; Zbl 07775058) Full Text: DOI
Páez Chávez, Joseph; Liu, Yang; Pavlovskaia, Ekaterina; Wiercigroch, Marian Path-following analysis of the dynamical response of a piecewise-linear capsule system. (English) Zbl 1473.37104 Commun. Nonlinear Sci. Numer. Simul. 37, 102-114 (2016). MSC: 37N05 70Q05 PDFBibTeX XMLCite \textit{J. Páez Chávez} et al., Commun. Nonlinear Sci. Numer. Simul. 37, 102--114 (2016; Zbl 1473.37104) Full Text: DOI Link
Ren, Yuan; Chen, Xiaocen; Cai, Yuanwen; Wang, Weijie Rotation modes stability analysis and phase compensation for magnetically suspended flywheel systems with cross feedback controller and time delay. (English) Zbl 1400.70033 Math. Probl. Eng. 2016, Article ID 3783740, 10 p. (2016). MSC: 70K75 70K20 93C80 93C40 37N35 PDFBibTeX XMLCite \textit{Y. Ren} et al., Math. Probl. Eng. 2016, Article ID 3783740, 10 p. (2016; Zbl 1400.70033) Full Text: DOI
Bazhenov, V. A.; Pogorelova, O. S.; Postnikova, T. G. Contact impact forces at discontinuous 2-DOF vibroimpact. (English) Zbl 1433.70037 Appl. Math. Nonlinear Sci. 1, No. 1, 183-196 (2016). MSC: 70K50 70K43 37M20 65P30 65P40 PDFBibTeX XMLCite \textit{V. A. Bazhenov} et al., Appl. Math. Nonlinear Sci. 1, No. 1, 183--196 (2016; Zbl 1433.70037) Full Text: DOI
Xiao, Yanwen; Xu, Wei; Wang, Liang Stochastic responses of van der Pol vibro-impact system with fractional derivative damping excited by Gaussian white noise. (English) Zbl 1361.34073 Chaos 26, No. 3, 033110, 8 p. (2016). MSC: 34F05 37H10 34C60 34A08 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Chaos 26, No. 3, 033110, 8 p. (2016; Zbl 1361.34073) Full Text: DOI
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. (English) Zbl 1354.35060 Nonlinear Dyn. 84, No. 1, 35-50 (2016). MSC: 35K57 37L30 37B55 26E25 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Dyn. 84, No. 1, 35--50 (2016; Zbl 1354.35060) Full Text: DOI
Marigo, Jean-Jacques; Laverne, Jérôme; Pham, Tuan Hiep Stress gradient effects on the nucleation and propagation of cohesive cracks. (English) Zbl 1370.37146 Discrete Contin. Dyn. Syst., Ser. S 9, No. 2, 557-584 (2016). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 37N20 74A45 74R10 74R20 PDFBibTeX XMLCite \textit{J.-J. Marigo} et al., Discrete Contin. Dyn. Syst., Ser. S 9, No. 2, 557--584 (2016; Zbl 1370.37146) Full Text: DOI
Detroux, T.; Renson, L.; Masset, L.; Kerschen, G. The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems. (English) Zbl 1423.70052 Comput. Methods Appl. Mech. Eng. 296, 18-38 (2015). MSC: 70K50 37N05 PDFBibTeX XMLCite \textit{T. Detroux} et al., Comput. Methods Appl. Mech. Eng. 296, 18--38 (2015; Zbl 1423.70052) Full Text: DOI arXiv
Zhao, Xiangrong; Xu, Wei; Gu, Xudong; Yang, Yongge Stochastic stationary responses of a viscoelastic system with impacts under additive Gaussian white noise excitation. (English) Zbl 1400.74018 Physica A 431, 128-139 (2015). MSC: 74D10 60H40 37N15 PDFBibTeX XMLCite \textit{X. Zhao} et al., Physica A 431, 128--139 (2015; Zbl 1400.74018) Full Text: DOI
Sharma, Sanjiv; Coetzee, Etienne B.; Lowenberg, Mark H.; Neild, Simon A.; Krauskopf, Bernd Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective. (English) Zbl 1353.93084 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140406, 16 p. (2015). MSC: 93C95 65P30 70K50 37N15 PDFBibTeX XMLCite \textit{S. Sharma} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140406, 16 p. (2015; Zbl 1353.93084) Full Text: DOI
Shihui, Fu; Ying, Du Non-smooth bifurcation control of non-smooth systems with a canonical form. (English) Zbl 1347.34062 Nonlinear Dyn. 81, No. 1-2, 773-782 (2015). MSC: 34C23 34A36 37G10 93C10 93B52 PDFBibTeX XMLCite \textit{F. Shihui} and \textit{D. Ying}, Nonlinear Dyn. 81, No. 1--2, 773--782 (2015; Zbl 1347.34062) Full Text: DOI
Hou, Lei; Chen, Yushu; Lu, Zhenyong; Li, Zhonggang Bifurcation analysis for 2:1 and 3:1 super-harmonic resonances of an aircraft cracked rotor system due to maneuver load. (English) Zbl 1347.37095 Nonlinear Dyn. 81, No. 1-2, 531-547 (2015). MSC: 37G10 74R99 PDFBibTeX XMLCite \textit{L. Hou} et al., Nonlinear Dyn. 81, No. 1--2, 531--547 (2015; Zbl 1347.37095) Full Text: DOI
Hei, Di; Lu, Yanjun; Zhang, Yongfang; Liu, Fuxi; Zhou, Chao; Müller, Norbert Nonlinear dynamic behaviors of rod fastening rotor-hydrodynamic journal bearing system. (English) Zbl 1341.74097 Arch. Appl. Mech. 85, No. 7, 855-875 (2015). MSC: 74K10 74M15 37N15 PDFBibTeX XMLCite \textit{D. Hei} et al., Arch. Appl. Mech. 85, No. 7, 855--875 (2015; Zbl 1341.74097) Full Text: DOI
Luongo, Angelo; D’Annibale, Francesco A paradigmatic minimal system to explain the Ziegler paradox. (English) Zbl 1341.37054 Contin. Mech. Thermodyn. 27, No. 1-2, 211-222 (2015). MSC: 37N15 PDFBibTeX XMLCite \textit{A. Luongo} and \textit{F. D'Annibale}, Contin. Mech. Thermodyn. 27, No. 1--2, 211--222 (2015; Zbl 1341.37054) Full Text: DOI
Hafstein, Sigurdur; Giesl, Peter Review on computational methods for Lyapunov functions. (English) Zbl 1337.37001 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2291-2331 (2015). Reviewer: Carlo Laing (Auckland) MSC: 37-02 37M99 34D20 34D05 37C75 34D45 37B25 PDFBibTeX XMLCite \textit{S. Hafstein} and \textit{P. Giesl}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2291--2331 (2015; Zbl 1337.37001) Full Text: DOI
Shahgholi, Majid; Khadem, Siamak Esmaeilzadeh; Bab, Saeed Nonlinear vibration analysis of a spinning shaft with multi-disks. (English) Zbl 1325.74071 Meccanica 50, No. 9, 2293-2307 (2015). MSC: 74H45 37N35 PDFBibTeX XMLCite \textit{M. Shahgholi} et al., Meccanica 50, No. 9, 2293--2307 (2015; Zbl 1325.74071) Full Text: DOI
Avedisov, Sergei S.; Orosz, Gábor Nonlinear network modes in cyclic systems with applications to connected vehicles. (English) Zbl 1320.93012 J. Nonlinear Sci. 25, No. 4, 1015-1049 (2015). MSC: 93A30 93A15 93C15 93C10 93C95 34A34 34C23 37G05 41A58 PDFBibTeX XMLCite \textit{S. S. Avedisov} and \textit{G. Orosz}, J. Nonlinear Sci. 25, No. 4, 1015--1049 (2015; Zbl 1320.93012) Full Text: DOI
Liao, Haitao Optimization analysis of Duffing oscillator with fractional derivatives. (English) Zbl 1345.49044 Nonlinear Dyn. 79, No. 2, 1311-1328 (2015). MSC: 49N30 34C15 34A08 70K20 70K42 37M05 37N05 93C41 PDFBibTeX XMLCite \textit{H. Liao}, Nonlinear Dyn. 79, No. 2, 1311--1328 (2015; Zbl 1345.49044) Full Text: DOI
Awrejcewicz, Jan; Krysko, Vadim A. Chaotic vibrations of conical and spherical shells and their control. (English) Zbl 1308.74067 Altenbach, Holm (ed.) et al., Shell and membrane theories in mechanics and biology. From macro- to nanoscale structures. Selected papers based on the presentations at the first international conference, SMT in MB 2013, Minsk, Belarus, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-02534-6/hbk; 978-3-319-02535-3/ebook). Advanced Structured Materials 45, 59-80 (2015). MSC: 74H45 74K25 37N15 PDFBibTeX XMLCite \textit{J. Awrejcewicz} and \textit{V. A. Krysko}, Adv. Struct. Mater. 45, 59--80 (2015; Zbl 1308.74067) Full Text: DOI
Zhang, Chun; Bi, Qinsheng; Han, Xiujing; Zhang, Zhengdi On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators. (English) Zbl 1470.37060 Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 750-757 (2014). MSC: 37D45 PDFBibTeX XMLCite \textit{C. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 750--757 (2014; Zbl 1470.37060) Full Text: DOI
Georgievskii, D. V.; Kvachev, K. V. The Lyapunov-Movchan method in problems of the stability of flows and deformation processes. (English. Russian original) Zbl 1432.74086 J. Appl. Math. Mech. 78, No. 6, 621-633 (2014); translation from Prikl. Mat. Mekh. 78, No. 6, 862-885 (2014). MSC: 74H55 37B25 37C75 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{K. V. Kvachev}, J. Appl. Math. Mech. 78, No. 6, 621--633 (2014; Zbl 1432.74086); translation from Prikl. Mat. Mekh. 78, No. 6, 862--885 (2014) Full Text: DOI
Rong, Haiwu; Wang, Xiangdong; Luo, Qizhi; Xu, Wei; Fang, Tong Bifurcation of safe basins and chaos in nonlinear vibroimpact oscillator under harmonic and bounded noise excitations. (English) Zbl 1442.74086 J. Appl. Math. 2014, Article ID 967395, 10 p. (2014). MSC: 74H50 74G60 74M20 37N15 37H20 PDFBibTeX XMLCite \textit{H. Rong} et al., J. Appl. Math. 2014, Article ID 967395, 10 p. (2014; Zbl 1442.74086) Full Text: DOI
Glavardanov, V. B.; Maretic, R. B. Secondary bifurcation of a compressible rod with spring-supports. (English) Zbl 1406.74245 Eur. J. Mech., A, Solids 46, 72-83 (2014). MSC: 74G60 34C23 74K10 37N15 74B20 PDFBibTeX XMLCite \textit{V. B. Glavardanov} and \textit{R. B. Maretic}, Eur. J. Mech., A, Solids 46, 72--83 (2014; Zbl 1406.74245) Full Text: DOI
Balasuriya, Sanjeeva; Binder, Benjamin J. Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing. (English) Zbl 1349.35328 Physica D 285, 28-41 (2014). MSC: 35Q53 35C08 37K10 37K40 PDFBibTeX XMLCite \textit{S. Balasuriya} and \textit{B. J. Binder}, Physica D 285, 28--41 (2014; Zbl 1349.35328) Full Text: DOI
Karimpour, H.; Eftekhari, M. Exploiting internal resonance for vibration suppression and energy harvesting from structures using an inner mounted oscillator. (English) Zbl 1314.74025 Nonlinear Dyn. 77, No. 3, 699-727 (2014). MSC: 74H45 74K10 37G10 PDFBibTeX XMLCite \textit{H. Karimpour} and \textit{M. Eftekhari}, Nonlinear Dyn. 77, No. 3, 699--727 (2014; Zbl 1314.74025) Full Text: DOI
Huan, Song-Mei; Yang, Xiao-Song Existence of chaotic invariant set in a class of 4-dimensional piecewise linear dynamical systems. (English) Zbl 1305.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 12, Article ID 1450158, 16 p. (2014). MSC: 34A36 34C45 34C28 37D45 34C37 PDFBibTeX XMLCite \textit{S.-M. Huan} and \textit{X.-S. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 12, Article ID 1450158, 16 p. (2014; Zbl 1305.34025) Full Text: DOI
Alart, Pierre How to overcome indetermination and interpenetration in granular systems via nonsmooth contact dynamics. An exploratory investigation. (English) Zbl 1296.74068 Comput. Methods Appl. Mech. Eng. 270, 37-56 (2014). MSC: 74M15 74L10 74E20 37N15 74S30 PDFBibTeX XMLCite \textit{P. Alart}, Comput. Methods Appl. Mech. Eng. 270, 37--56 (2014; Zbl 1296.74068) Full Text: DOI HAL
Zhang, Junhua; Zhang, Wei; Hao, Yuxin Multipulse chaotic dynamics for nonautonomous nonlinear systems and application to a FGM plate. (English) Zbl 1296.34129 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 5, Article ID 1450068, 15 p. (2014). MSC: 34C60 74K20 37C60 34C28 PDFBibTeX XMLCite \textit{J. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 5, Article ID 1450068, 15 p. (2014; Zbl 1296.34129) Full Text: DOI
El Khaoulani, R.; Bouchard, P.-O. Efficient numerical integration of an elastic-plastic damage law within a mixed velocity-pressure formulation. (English) Zbl 1499.74023 Math. Comput. Simul. 94, 145-158 (2013). MSC: 74C05 74G15 74R05 37M15 65N30 PDFBibTeX XMLCite \textit{R. El Khaoulani} and \textit{P. O. Bouchard}, Math. Comput. Simul. 94, 145--158 (2013; Zbl 1499.74023) Full Text: DOI
Hu, Nan; Du, Zhengdong Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems. (English) Zbl 1344.37062 Commun. Nonlinear Sci. Numer. Simul. 18, No. 12, 3436-3448 (2013). MSC: 37G15 PDFBibTeX XMLCite \textit{N. Hu} and \textit{Z. Du}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 12, 3436--3448 (2013; Zbl 1344.37062) Full Text: DOI
Du, Zhengdong; Li, Yurong; Shen, Jun; Zhang, Weinian Impact oscillators with homoclinic orbit tangent to the wall. (English) Zbl 1331.70061 Physica D 245, No. 1, 19-33 (2013). MSC: 70K44 34C37 37G25 PDFBibTeX XMLCite \textit{Z. Du} et al., Physica D 245, No. 1, 19--33 (2013; Zbl 1331.70061) Full Text: DOI
Bassi, Andrea; Aravas, Nikolaos; Genna, Francesco A linear complementarity formulation of rate-independent finite-strain elastoplasticity. Part II: Calculation of bifurcation and limit points. (English) Zbl 1349.74067 Eur. J. Mech., A, Solids 35, 128-137 (2012). MSC: 74C05 37N15 90C33 PDFBibTeX XMLCite \textit{A. Bassi} et al., Eur. J. Mech., A, Solids 35, 128--137 (2012; Zbl 1349.74067) Full Text: DOI
Du, Zhengdong; Li, Yurong Bifurcation of periodic orbits with multiple crossings in a class of planar Filippov systems. (English) Zbl 1255.34040 Math. Comput. Modelling 55, No. 3-4, 1072-1082 (2012). MSC: 34C23 37G15 34A38 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Du} and \textit{Y. Li}, Math. Comput. Modelling 55, No. 3--4, 1072--1082 (2012; Zbl 1255.34040) Full Text: DOI
Zobova, Alexandra A. Comments on the paper by M. C. Ciocci, B. Malengier, B. Langerock, and B. Grimonprez “Towards a prototype of a spherical tippe top”. (English) Zbl 1253.70007 Regul. Chaotic Dyn. 17, No. 3-4, 367-369 (2012). MSC: 70E18 37N05 PDFBibTeX XMLCite \textit{A. A. Zobova}, Regul. Chaotic Dyn. 17, No. 3--4, 367--369 (2012; Zbl 1253.70007) Full Text: DOI
Chang-Jian, Cai-Wan; Hsu, Hsiang-Chen Chaotic responses on gear pair system equipped with journal bearings under turbulent flow. (English) Zbl 1246.70007 Appl. Math. Modelling 36, No. 6, 2600-2613 (2012). MSC: 70E55 70K50 34H10 37N10 70K55 PDFBibTeX XMLCite \textit{C.-W. Chang-Jian} and \textit{H.-C. Hsu}, Appl. Math. Modelling 36, No. 6, 2600--2613 (2012; Zbl 1246.70007) Full Text: DOI
Huan, Song-Mei; Yang, Xiao-Song Generalized Hopf bifurcation in a class of planar switched systems. (English) Zbl 1252.37041 Dyn. Syst. 26, No. 4, 433-445 (2011). Reviewer: Santiago Ibáñez (Oviedo) MSC: 37G15 34C25 35B20 PDFBibTeX XMLCite \textit{S.-M. Huan} and \textit{X.-S. Yang}, Dyn. Syst. 26, No. 4, 433--445 (2011; Zbl 1252.37041) Full Text: DOI
Ho, Jee-Hou; Nguyen, Van-Du; Woo, Ko-Choong Nonlinear dynamics of a new electro-vibro-impact system. (English) Zbl 1215.93112 Nonlinear Dyn. 63, No. 1-2, 35-49 (2011). MSC: 93C95 37D45 PDFBibTeX XMLCite \textit{J.-H. Ho} et al., Nonlinear Dyn. 63, No. 1--2, 35--49 (2011; Zbl 1215.93112) Full Text: DOI
Wang, YongGang; Song, HuiFang; Li, Dan; Wang, Jing Bifurcations and chaos in a periodic time-varying temperature-excited bimetallic shallow shell of revolution. (English) Zbl 1271.74232 Arch. Appl. Mech. 80, No. 7, 815-828 (2010). MSC: 74H65 74H45 74K25 74F05 37N15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Arch. Appl. Mech. 80, No. 7, 815--828 (2010; Zbl 1271.74232) Full Text: DOI
Chen, Xingwu; Du, Zhengdong Limit cycles bifurcate from centers of discontinuous quadratic systems. (English) Zbl 1198.34044 Comput. Math. Appl. 59, No. 12, 3836-3848 (2010). MSC: 34C05 34A36 34C23 37G99 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Z. Du}, Comput. Math. Appl. 59, No. 12, 3836--3848 (2010; Zbl 1198.34044) Full Text: DOI
Fu, Xiang-Ling; Deng, Jin; Jing, Zhu-Jun Complex dynamics in physical pendulum equation with suspension axis vibrations. (English) Zbl 1308.34055 Acta Math. Appl. Sin., Engl. Ser. 26, No. 1, 55-78 (2010). MSC: 34C28 34C23 37D45 70K55 PDFBibTeX XMLCite \textit{X.-L. Fu} et al., Acta Math. Appl. Sin., Engl. Ser. 26, No. 1, 55--78 (2010; Zbl 1308.34055) Full Text: DOI
El-Gohary, Awad Chaos and optimal control of steady-state rotation of a satellite-gyrostat on a circular orbit. (English) Zbl 1198.70015 Chaos Solitons Fractals 42, No. 5, 2842-2851 (2009). MSC: 70M20 70E15 37N05 70Q05 PDFBibTeX XMLCite \textit{A. El-Gohary}, Chaos Solitons Fractals 42, No. 5, 2842--2851 (2009; Zbl 1198.70015) Full Text: DOI
Wang, Liang; Xu, Wei; Li, Gaojie; Li, Dongxi Response of a stochastic Duffing-van der Pol elastic impact oscillator. (English) Zbl 1198.60029 Chaos Solitons Fractals 41, No. 4, 2075-2080 (2009). MSC: 60H30 37G99 PDFBibTeX XMLCite \textit{L. Wang} et al., Chaos Solitons Fractals 41, No. 4, 2075--2080 (2009; Zbl 1198.60029) Full Text: DOI
Błażejczyk-Okolewska, Barbara; Czołczyński, Krzysztof; Kapitaniak, Tomasz Dynamics of a two-degree-of-freedom cantilever beam with impacts. (English) Zbl 1198.74038 Chaos Solitons Fractals 40, No. 4, 1991-2006 (2009). MSC: 74K10 37N15 PDFBibTeX XMLCite \textit{B. Błażejczyk-Okolewska} et al., Chaos Solitons Fractals 40, No. 4, 1991--2006 (2009; Zbl 1198.74038) Full Text: DOI
Luo, Guanwei; Ma, Li; Lv, Xiaohong Dynamic analysis and suppressing chaotic impacts of a two-degree-of-freedom oscillator with a clearance. (English) Zbl 1167.34335 Nonlinear Anal., Real World Appl. 10, No. 2, 756-778 (2009). MSC: 34C23 37D45 37N05 70F05 PDFBibTeX XMLCite \textit{G. Luo} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 756--778 (2009; Zbl 1167.34335) Full Text: DOI HAL
Du, Zhengdong; Li, Yurong; Zhang, Weinian Bifurcation of periodic orbits in a class of planar Filippov systems. (English) Zbl 1181.34015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3610-3628 (2008). Reviewer: Feng Xie (Shanghai) MSC: 34A36 34C25 37G15 34C23 34C05 PDFBibTeX XMLCite \textit{Z. Du} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3610--3628 (2008; Zbl 1181.34015) Full Text: DOI
Galvanetto, Ugo Computation of the separatrix of basins of attraction in a non-smooth dynamical system. (English) Zbl 1158.37313 Physica D 237, No. 18, 2263-2271 (2008). MSC: 37N05 70F40 70K40 34C15 34D45 PDFBibTeX XMLCite \textit{U. Galvanetto}, Physica D 237, No. 18, 2263--2271 (2008; Zbl 1158.37313) Full Text: DOI
Awrejcewicz, Jan; Dzyubak, Larisa Hysteresis modelling and chaos prediction in one- and two-DOF hysteretic models. (English) Zbl 1179.74095 Arch. Appl. Mech. 77, No. 5, 261-279 (2007). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74N30 70K55 37N15 PDFBibTeX XMLCite \textit{J. Awrejcewicz} and \textit{L. Dzyubak}, Arch. Appl. Mech. 77, No. 5, 261--279 (2007; Zbl 1179.74095) Full Text: DOI
Han, Qiang; Zheng, Xiangfeng Chaotic response of a large deflection beam and effect of the second order mode. (English) Zbl 1098.74602 Eur. J. Mech., A, Solids 24, No. 6, 944-956 (2005). MSC: 74H65 74K10 37N15 PDFBibTeX XMLCite \textit{Q. Han} and \textit{X. Zheng}, Eur. J. Mech., A, Solids 24, No. 6, 944--956 (2005; Zbl 1098.74602) Full Text: DOI
de Souza, Sílvio L. T.; Caldas, Iberê L.; Viana, Ricardo L.; Batista, Antônio M.; Kapitaniak, Tomasz Noise-induced basin hopping in a gearbox model. (English) Zbl 1072.70013 Chaos Solitons Fractals 26, No. 5, 1523-1531 (2005). MSC: 70K05 70K55 37N05 PDFBibTeX XMLCite \textit{S. L. T. de Souza} et al., Chaos Solitons Fractals 26, No. 5, 1523--1531 (2005; Zbl 1072.70013) Full Text: DOI
de Souza, S. L. T.; Caldas, I. L.; Viana, R. L.; Balthazar, J. M.; Brasil, R. M. L. R. F. Basins of attraction changes by amplitude constraining of oscillators with limited power supply. (English) Zbl 1093.37516 Chaos Solitons Fractals 26, No. 4, 1211-1220 (2005). MSC: 37N05 34C15 70K55 37D45 93D15 PDFBibTeX XMLCite \textit{S. L. T. de Souza} et al., Chaos Solitons Fractals 26, No. 4, 1211--1220 (2005; Zbl 1093.37516) Full Text: DOI
Xu, Xu; Wiercigroch, M.; Cartmell, M. P. Rotating orbits of a parametrically-excited pendulum. (English) Zbl 1135.70313 Chaos Solitons Fractals 23, No. 5, 1537-1548 (2005). MSC: 70K40 37D45 70K50 PDFBibTeX XMLCite \textit{X. Xu} et al., Chaos Solitons Fractals 23, No. 5, 1537--1548 (2005; Zbl 1135.70313) Full Text: DOI