Vadcard, Thibaut; Thouverez, Fabrice; Batailly, Alain On the detection of nonlinear normal mode-related isolated branches of periodic solutions for high-dimensional nonlinear mechanical systems with frictionless contact interfaces. (English) Zbl 07796665 Comput. Methods Appl. Mech. Eng. 419, Article ID 116641, 31 p. (2024). MSC: 74-XX 70-XX PDFBibTeX XMLCite \textit{T. Vadcard} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116641, 31 p. (2024; Zbl 07796665) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of forced nonlinear oscillators. (English) Zbl 07791025 Japan J. Ind. Appl. Math. 41, No. 1, 151-164 (2024). MSC: 37J30 37J35 34C15 34E10 37J40 34A05 37C27 34C25 37C29 34C37 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Japan J. Ind. Appl. Math. 41, No. 1, 151--164 (2024; Zbl 07791025) Full Text: DOI arXiv
Li, Yuxi; Wei, Zhouchao; Zhang, Wei; Kapitaniak, Tomasz Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint. (English) Zbl 1525.37032 Appl. Math. Modelling 122, 506-523 (2023). MSC: 37D45 37J46 37J40 34A36 34C28 34C37 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 122, 506--523 (2023; Zbl 1525.37032) Full Text: DOI
Ovsyannikov, Ivan; Rademacher, Jens D. M.; Welter, Roland; Lu, Bing-ying Time averages and periodic attractors at high Rayleigh number for Lorenz-like models. (English) Zbl 1523.37067 J. Nonlinear Sci. 33, No. 5, Paper No. 73, 39 p. (2023); correction ibid. 33, No. 5, Paper No. 92, 1 p. (2023). MSC: 37J40 37J46 37J20 37G15 37D45 PDFBibTeX XMLCite \textit{I. Ovsyannikov} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 73, 39 p. (2023; Zbl 1523.37067) Full Text: DOI arXiv
Wang, Jundong; Zhang, Lijun; Shchepakina, Elena; Sobolev, Vladimir Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity. (English) Zbl 1512.35518 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 639-654 (2023). MSC: 35Q53 35L05 34D15 39A28 35B20 PDFBibTeX XMLCite \textit{J. Wang} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 639--654 (2023; Zbl 1512.35518) Full Text: DOI
Yu, B. S.; Zhu, Z. H. Out-of-plane chaotic motion and suppression for tethered tug-debris systems with thrust perturbation. (English) Zbl 1520.70027 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107273, 11 p. (2023). MSC: 70Q05 70M20 70K55 70K50 70K60 PDFBibTeX XMLCite \textit{B. S. Yu} and \textit{Z. H. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107273, 11 p. (2023; Zbl 1520.70027) Full Text: DOI
Yagasaki, Kazuyuki Analytic and algebraic conditions for bifurcations of homoclinic orbits. II: Reversible systems. (English) Zbl 1526.34025 J. Dyn. Differ. Equations 35, No. 2, 1863-1884 (2023). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C37 34C14 PDFBibTeX XMLCite \textit{K. Yagasaki}, J. Dyn. Differ. Equations 35, No. 2, 1863--1884 (2023; Zbl 1526.34025) Full Text: DOI arXiv
Li, Jing; Guo, Ziyu; Zhu, Shaotao; Gao, Ting Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds. (English) Zbl 1511.34015 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106840, 17 p. (2023). Reviewer: Qinlong Wang (Guilin) MSC: 34A36 34E10 34C05 34C23 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106840, 17 p. (2023; Zbl 1511.34015) Full Text: DOI
Zhou, Liangqiang; Hu, Sengen; Chen, Fangqi Chaotic dynamics and subharmonic bifurcations of current-carrying conductors subjected to harmonic excitation. (English) Zbl 07815615 ZAMM, Z. Angew. Math. Mech. 102, No. 9, Article ID e202100376, 19 p. (2022). MSC: 70K55 70K50 70K40 70-08 78A55 PDFBibTeX XMLCite \textit{L. Zhou} et al., ZAMM, Z. Angew. Math. Mech. 102, No. 9, Article ID e202100376, 19 p. (2022; Zbl 07815615) Full Text: DOI
Zhou, Liangqiang; Chen, Fangqi Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field. (English) Zbl 1506.74156 IMA J. Appl. Math. 87, No. 5, 786-803 (2022). MSC: 74H65 74H60 74H45 74K10 74F05 74H15 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{F. Chen}, IMA J. Appl. Math. 87, No. 5, 786--803 (2022; Zbl 1506.74156) Full Text: DOI
Zheng, Hang; Xia, Yonghui; Pinto, Manuel Chaotic motion and control of the driven-damped double sine-Gordon equation. (English) Zbl 1505.34065 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7151-7167 (2022). MSC: 34C28 34C37 34H10 65P20 35L10 35C07 37J40 PDFBibTeX XMLCite \textit{H. Zheng} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7151--7167 (2022; Zbl 1505.34065) Full Text: DOI
Yagasaki, Kazuyuki Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits. (English) Zbl 1497.37063 J. Nonlinear Sci. 32, No. 4, Paper No. 43, 23 p. (2022). MSC: 37J30 34E10 34M15 34M35 PDFBibTeX XMLCite \textit{K. Yagasaki}, J. Nonlinear Sci. 32, No. 4, Paper No. 43, 23 p. (2022; Zbl 1497.37063) Full Text: DOI arXiv
Ma, Xindong; Bi, Qinsheng; Wang, Lifeng Complex periodic bursting structures in the Rayleigh-van der Pol-Duffing oscillator. (English) Zbl 1496.37045 J. Nonlinear Sci. 32, No. 2, Paper No. 25, 23 p. (2022). MSC: 37G10 34C15 34C23 70K20 70K50 70K70 PDFBibTeX XMLCite \textit{X. Ma} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 25, 23 p. (2022; Zbl 1496.37045) Full Text: DOI
Chen, Qinbo; de la Llave, Rafael Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems. (English) Zbl 1501.37063 Nonlinearity 35, No. 4, 1986-2019 (2022). Reviewer: Yong Li (Changchun) MSC: 37J40 37J25 70H08 70H33 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{R. de la Llave}, Nonlinearity 35, No. 4, 1986--2019 (2022; Zbl 1501.37063) Full Text: DOI arXiv
He, Xiaolong; Qiu, Huanhuan; Shen, Jianhua Melnikov-type theorem for time reversible system. (English) Zbl 1495.34065 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 33, 27 p. (2022). Reviewer: Michal Veselý (Brno) MSC: 34C27 34C14 34E10 34C45 PDFBibTeX XMLCite \textit{X. He} et al., Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 33, 27 p. (2022; Zbl 1495.34065) Full Text: DOI
Chen, Xingwu; Li, Tao; Llibre, Jaume Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications. (English) Zbl 1495.34026 J. Differ. Equations 314, 340-369 (2022). Reviewer: Dingheng Pi (Quanzhou) MSC: 34A36 34C07 34C05 34C23 34C29 34E10 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Differ. Equations 314, 340--369 (2022; Zbl 1495.34026) Full Text: DOI
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Melnikov method for non-conservative perturbations of the restricted three-body problem. (English) Zbl 1490.70033 Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022). MSC: 70F07 70F15 37N05 37J40 70K44 PDFBibTeX XMLCite \textit{M. Gidea} et al., Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022; Zbl 1490.70033) Full Text: DOI arXiv
Itikawa, Jackson; Oliveira, Regilene; Torregrosa, Joan First-order perturbation for multi-parameter center families. (English) Zbl 1493.34106 J. Differ. Equations 309, 291-310 (2022). Reviewer: Changjian Liu (Zhuhai) MSC: 34C07 34C29 34E10 34C05 PDFBibTeX XMLCite \textit{J. Itikawa} et al., J. Differ. Equations 309, 291--310 (2022; Zbl 1493.34106) Full Text: DOI
Qiu, Huimin; Zhong, Liyan; Shen, Jianhe Traveling waves in a generalized Camassa-Holm equation involving dual-power law nonlinearities. (English) Zbl 1479.35204 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106106, 21 p. (2022). MSC: 35C07 35C08 35B25 35G25 PDFBibTeX XMLCite \textit{H. Qiu} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106106, 21 p. (2022; Zbl 1479.35204) Full Text: DOI
Novaes, Douglas Higher order stroboscopic averaged functions: a general relationship with Melnikov functions. (English) Zbl 1499.34257 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 77, 9 p. (2021). MSC: 34C29 34E10 34C25 PDFBibTeX XMLCite \textit{D. Novaes}, Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 77, 9 p. (2021; Zbl 1499.34257) Full Text: DOI arXiv
Eyebe, Guy Joseph; Gambo, Betchewe; Mohamadou, Alidou; Kofane, Timoleon Crepin Melnikov analysis of the nonlocal nanobeam resting on fractional-order softening nonlinear viscoelastic foundations. (English) Zbl 1484.37100 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2213-2228 (2021). MSC: 37N15 74K10 26A33 74D10 74H65 PDFBibTeX XMLCite \textit{G. J. Eyebe} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2213--2228 (2021; Zbl 1484.37100) Full Text: DOI
Xu, Guoan; Zhang, Yi On the existence of solitary wave solutions for perturbed Degasperis-Procesi equation. (English) Zbl 1486.34073 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 80, 10 p. (2021). Reviewer: Yong Ye (Shenzhen) MSC: 34C05 34C37 34E15 34C23 35C07 76B15 34E10 PDFBibTeX XMLCite \textit{G. Xu} and \textit{Y. Zhang}, Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 80, 10 p. (2021; Zbl 1486.34073) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems. (English) Zbl 1514.37037 Nonlinearity 34, No. 11, 7574-7608 (2021). MSC: 37C27 37C29 34C14 34E10 34A05 34C15 34C40 70K44 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Nonlinearity 34, No. 11, 7574--7608 (2021; Zbl 1514.37037) Full Text: DOI arXiv
Asnafi, Alireza Melnikov-based criterion to obtain the critical velocity in axially moving viscoelastic strings under a set of non-Gaussian parametric bounded noise. (English) Zbl 1481.74369 Acta Mech. 232, No. 9, 3495-3508 (2021). MSC: 74H65 74H50 74K05 74S60 74D05 PDFBibTeX XMLCite \textit{A. Asnafi}, Acta Mech. 232, No. 9, 3495--3508 (2021; Zbl 1481.74369) Full Text: DOI
Wang, Zhen; Hu, Weipeng Chaos of a single-walled carbon nanotube resulting from periodic parameter perturbation. (English) Zbl 1471.74034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150130, 22 p. (2021). MSC: 74H65 74H60 74K10 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{W. Hu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150130, 22 p. (2021; Zbl 1471.74034) Full Text: DOI
Paşca, Daniel; Stoica, Cristina; Valls, Cláudia Anisotropic two-body problem under the Buckingham potential. (English) Zbl 1498.70004 J. Math. Chem. 59, No. 5, 1368-1377 (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70-08 70F05 70K05 70G60 70H05 92E10 92E20 PDFBibTeX XMLCite \textit{D. Paşca} et al., J. Math. Chem. 59, No. 5, 1368--1377 (2021; Zbl 1498.70004) Full Text: DOI
Ma, W. S.; Zhang, W.; Zhang, Y. F. Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations. (English) Zbl 1476.74059 Eur. J. Mech., A, Solids 85, Article ID 104120, 25 p. (2021). MSC: 74H45 74H65 74H55 74F15 PDFBibTeX XMLCite \textit{W. S. Ma} et al., Eur. J. Mech., A, Solids 85, Article ID 104120, 25 p. (2021; Zbl 1476.74059) Full Text: DOI
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Global effect of non-conservative perturbations on homoclinic orbits. (English) Zbl 1459.37050 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 9, 40 p. (2021). MSC: 37J40 37J46 37C29 34C37 70H09 70K44 PDFBibTeX XMLCite \textit{M. Gidea} et al., Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 9, 40 p. (2021; Zbl 1459.37050) Full Text: DOI arXiv
Liu, Shanshan; Han, Maoan; Li, Jibin Bifurcation methods of periodic orbits for piecewise smooth systems. (English) Zbl 1461.34028 J. Differ. Equations 275, 204-233 (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34A36 34C23 34C05 34C29 34E10 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Differ. Equations 275, 204--233 (2021; Zbl 1461.34028) Full Text: DOI
Liu, Yuanqing; Liu, Xiaofeng; Cai, Guoping; Chen, Jubing Attitude evolution of a dual-liquid-filled spacecraft with internal energy dissipation. (English) Zbl 1516.70049 Nonlinear Dyn. 99, No. 3, 2251-2263 (2020). MSC: 70Q05 70E60 70K42 34C28 70M20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Nonlinear Dyn. 99, No. 3, 2251--2263 (2020; Zbl 1516.70049) Full Text: DOI
Yu, Yue; Zhang, Cong; Chen, Zhenyu; Lim, C. W. Relaxation and mixed mode oscillations in a shape memory alloy oscillator driven by parametric and external excitations. (English) Zbl 1495.34081 Chaos Solitons Fractals 140, Article ID 110145, 9 p. (2020). MSC: 34E15 34C15 34C28 74M05 PDFBibTeX XMLCite \textit{Y. Yu} et al., Chaos Solitons Fractals 140, Article ID 110145, 9 p. (2020; Zbl 1495.34081) Full Text: DOI
Asheghi, R.; Nabavi, A. The third order Melnikov function of a cubic integrable system under quadratic perturbations. (English) Zbl 1490.34034 Chaos Solitons Fractals 139, Article ID 110291, 9 p. (2020). MSC: 34C07 34C05 34C23 34C29 34E10 PDFBibTeX XMLCite \textit{R. Asheghi} and \textit{A. Nabavi}, Chaos Solitons Fractals 139, Article ID 110291, 9 p. (2020; Zbl 1490.34034) Full Text: DOI
Gong, Shuhua; Han, Maoan Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters. (English) Zbl 1485.34097 Adv. Difference Equ. 2020, Paper No. 366, 16 p. (2020). MSC: 34C05 34C23 37G15 34C07 PDFBibTeX XMLCite \textit{S. Gong} and \textit{M. Han}, Adv. Difference Equ. 2020, Paper No. 366, 16 p. (2020; Zbl 1485.34097) Full Text: DOI
Mir, Massoud; Tahani, Masoud Graphene-based mass sensors: chaotic dynamics analysis using the nonlocal strain gradient model. (English) Zbl 1481.74370 Appl. Math. Modelling 81, 799-817 (2020). MSC: 74H65 PDFBibTeX XMLCite \textit{M. Mir} and \textit{M. Tahani}, Appl. Math. Modelling 81, 799--817 (2020; Zbl 1481.74370) Full Text: DOI
Niu, Yujun; Qiao, Junfeng; Hu, Shuangnian Chaos prediction of Duffing-Rayleigh system excited by fixed impulsive signals. (Chinese. English summary) Zbl 1474.37106 J. Hefei Univ. Technol., Nat. Sci. 43, No. 12, 1718-1722 (2020). MSC: 37M05 37M25 37D45 PDFBibTeX XMLCite \textit{Y. Niu} et al., J. Hefei Univ. Technol., Nat. Sci. 43, No. 12, 1718--1722 (2020; Zbl 1474.37106) Full Text: DOI
Li, Shuangbao; Ma, Xixi; Bian, Xiaoli; Lai, Siu-Kai; Zhang, Wei Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator. (English) Zbl 1459.34142 Nonlinear Dyn. 99, No. 2, 1621-1642 (2020). MSC: 34H10 34D10 37J40 34C37 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Dyn. 99, No. 2, 1621--1642 (2020; Zbl 1459.34142) Full Text: DOI
Shen, Xiaona; Feng, Jinqian; Ren, Yifan Chaotic motion of shape memory alloy beam model with asymmetric structure. (Chinese. English summary) Zbl 1474.74061 Basic Sci. J. Text. Univ. 33, No. 3, 99-105 (2020). MSC: 74H65 74K10 74D99 37J46 37N15 37D45 PDFBibTeX XMLCite \textit{X. Shen} et al., Basic Sci. J. Text. Univ. 33, No. 3, 99--105 (2020; Zbl 1474.74061) Full Text: DOI
Zhang, Lijun; Han, Maoan; Zhang, Mingji; Khalique, Chaudry Masood A new type of solitary wave solution of the mKdV equation under singular perturbations. (English) Zbl 1451.35178 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050162, 14 p. (2020). MSC: 35Q53 35C08 35B32 35B25 PDFBibTeX XMLCite \textit{L. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050162, 14 p. (2020; Zbl 1451.35178) Full Text: DOI
Chen, Xing; Han, Sen; Li, Jun; Sun, Shizheng Chaos suppression for coupled electromechanical torsional vibrations in a high-speed permanent magnet synchronous motor driven system via multitime delayed feedback control. (English) Zbl 1466.74018 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050128, 13 p. (2020). MSC: 74H65 74H45 74F15 37N15 93B52 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050128, 13 p. (2020; Zbl 1466.74018) Full Text: DOI
Tian, R. L.; Wang, T.; Zhou, Y. F.; Li, J.; Zhu, S. T. Heteroclinic chaotic threshold in a nonsmooth system with jump discontinuities. (English) Zbl 1472.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050141, 11 p. (2020). Reviewer: Changjian Liu (Zhuhai) MSC: 34A36 34A37 34C07 34C23 34E10 34C37 34C28 PDFBibTeX XMLCite \textit{R. L. Tian} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050141, 11 p. (2020; Zbl 1472.34025) Full Text: DOI
Kominis, Yannis; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitrios J.; Bountis, Anastasios Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach. (English) Zbl 1442.35064 Chaos Solitons Fractals 118, 222-233 (2019). MSC: 35C08 35Q55 35B32 PDFBibTeX XMLCite \textit{Y. Kominis} et al., Chaos Solitons Fractals 118, 222--233 (2019; Zbl 1442.35064) Full Text: DOI arXiv
Priyatharsini, S. Valli; Meenakshi, M. V. Sethu; Chinnathambi, V.; Rajasekar, S. Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation. (English) Zbl 1449.37027 J. Math. Model. 7, No. 3, 263-276 (2019). MSC: 37D45 34A08 26A33 PDFBibTeX XMLCite \textit{S. V. Priyatharsini} et al., J. Math. Model. 7, No. 3, 263--276 (2019; Zbl 1449.37027) Full Text: DOI
Niu, Yujun; Hu, Shuangnian Melnikov method of impulsive system and its application to chaos prediction. (Chinese. English summary) Zbl 1449.34049 Math. Pract. Theory 49, No. 12, 199-206 (2019). MSC: 34A37 37D45 34C28 34E10 PDFBibTeX XMLCite \textit{Y. Niu} and \textit{S. Hu}, Math. Pract. Theory 49, No. 12, 199--206 (2019; Zbl 1449.34049)
Li, Haitao; Ding, Hu; Chen, Liqun Chaos threshold of a multistable piezoelectric energy harvester subjected to wake-galloping. (English) Zbl 1432.70041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 12, Article ID 1950162, 13 p. (2019). MSC: 70K55 74F15 37D45 37G15 PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 12, Article ID 1950162, 13 p. (2019; Zbl 1432.70041) Full Text: DOI
Yagasaki, Kazuyuki; Yamanaka, Shogo Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1436.37066 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J30 37J46 34C28 37C29 37J25 70K55 37M20 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{S. Yamanaka}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019; Zbl 1436.37066) Full Text: DOI arXiv
Zhang, Sijin; Liu, Yu; Ji, Desan Melnikov’s method of periodic solutions with double impacts for a 2-DOF vibro-impact quasi-Hamiltonian system. (Chinese. English summary) Zbl 1438.37034 J. Hunan Univ., Nat. Sci. 46, No. 2, 67-74 (2019). MSC: 37J40 37J46 PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Hunan Univ., Nat. Sci. 46, No. 2, 67--74 (2019; Zbl 1438.37034) Full Text: DOI
Kwiecinski, James A.; Biber, Stanisław W.; Van Gorder, Robert A. Chaotic rotations of a rigid ellipsoidal body exhibiting spin-orbit misalignment in a periodic orbit. (English) Zbl 1423.70054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 7, Article ID 1930018, 14 p. (2019). MSC: 70K55 70E17 70E20 70F15 PDFBibTeX XMLCite \textit{J. A. Kwiecinski} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 7, Article ID 1930018, 14 p. (2019; Zbl 1423.70054) Full Text: DOI
Zhang, Dong Mei; Jin, Yin Lai; Li, F. Homoclinic orbits of a buckled beam subjected to transverse uniform harmonic excitation. (English) Zbl 1422.34144 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950061, 15 p. (2019). MSC: 34C37 34E15 37J40 74K10 70K40 34C45 34C28 PDFBibTeX XMLCite \textit{D. M. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950061, 15 p. (2019; Zbl 1422.34144) Full Text: DOI
Chen, Fengjuan; Q. D. Wang, Qiudong High order Melnikov method: theory and application. (English) Zbl 1417.34102 J. Differ. Equations 267, No. 2, 1095-1128 (2019). MSC: 34C45 34E05 34C37 PDFBibTeX XMLCite \textit{F. Chen} and \textit{Q. Q. D. Wang}, J. Differ. Equations 267, No. 2, 1095--1128 (2019; Zbl 1417.34102) Full Text: DOI
Fontich, E.; Simó, C.; Vieiro, A. Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. (English) Zbl 1409.37059 Nonlinearity 32, No. 4, 1440-1493 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 37J20 37J40 37J45 37C29 PDFBibTeX XMLCite \textit{E. Fontich} et al., Nonlinearity 32, No. 4, 1440--1493 (2019; Zbl 1409.37059) Full Text: DOI arXiv
Liu, Di; Xu, Yong Random disordered periodical input induced chaos in discontinuous systems. (English) Zbl 1415.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950002, 16 p. (2019). MSC: 34A36 34F05 34E15 37C60 37J45 34C28 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Y. Xu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950002, 16 p. (2019; Zbl 1415.34043) Full Text: DOI
Meenakshi, M. V. Sethu; Athisayanathan, S.; Chinnathambi, V.; Rajasekar, S. Homoclinic bifurcation in a parametrically driven nonlinearly damped Duffing-Van der Pol oscillator. (Homoclinic bifurcation in a parametrically driven nonlinearly damped Duffing-vander Pol oscillator.) (English) Zbl 1481.34050 Int. J. Adv. Appl. Math. Mech. 6, No. 1, 10-20 (2018). MSC: 34C15 34C23 34C37 34C28 37C60 70K40 70K28 PDFBibTeX XMLCite \textit{M. V. S. Meenakshi} et al., Int. J. Adv. Appl. Math. Mech. 6, No. 1, 10--20 (2018; Zbl 1481.34050) Full Text: Link
Zhang, W.; Wu, Q. L.; Yao, M. H.; Dowell, E. H. Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate. (English) Zbl 1412.34147 Nonlinear Dyn. 94, No. 1, 21-37 (2018). MSC: 34C28 37C29 34C37 37D45 PDFBibTeX XMLCite \textit{W. Zhang} et al., Nonlinear Dyn. 94, No. 1, 21--37 (2018; Zbl 1412.34147) Full Text: DOI
Yagasaki, Kazuyuki Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics. (English) Zbl 1412.37063 Regul. Chaotic Dyn. 23, No. 4, 438-457 (2018). MSC: 37J45 37J40 70K44 70E20 PDFBibTeX XMLCite \textit{K. Yagasaki}, Regul. Chaotic Dyn. 23, No. 4, 438--457 (2018; Zbl 1412.37063) Full Text: DOI
Chegini, Mohammadreza; Sadati, Hossein; Salarieh, Hassan Chaos analysis in attitude dynamics of a flexible satellite. (English) Zbl 1398.70047 Nonlinear Dyn. 93, No. 3, 1421-1438 (2018). MSC: 70K65 70K55 70K44 70M20 37D45 PDFBibTeX XMLCite \textit{M. Chegini} et al., Nonlinear Dyn. 93, No. 3, 1421--1438 (2018; Zbl 1398.70047) Full Text: DOI
Yagasaki, Kazuyuki Melnikov processes and chaos in randomly perturbed dynamical systems. (English) Zbl 1393.37065 Nonlinearity 31, No. 7, 3057-3085 (2018). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 37H10 37D45 34F05 34C37 34C45 PDFBibTeX XMLCite \textit{K. Yagasaki}, Nonlinearity 31, No. 7, 3057--3085 (2018; Zbl 1393.37065) Full Text: DOI
Kwiecinski, James A.; Kovacs, Attila; Krause, Andrew L.; Planella, Ferran Brosa; Van Gorder, Robert A. Chaotic dynamics in the planar gravitational many-body problem with rigid body rotations. (English) Zbl 1390.70021 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830013, 19 p. (2018). MSC: 70F10 70E15 70K55 70K44 PDFBibTeX XMLCite \textit{J. A. Kwiecinski} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830013, 19 p. (2018; Zbl 1390.70021) Full Text: DOI arXiv
Bonet-Reves, Carles; Larrosa, Juliana; M-Seara, Tere Regularization around a generic codimension one fold-fold singularity. (English) Zbl 1393.34029 J. Differ. Equations 265, No. 5, 1761-1838 (2018). Reviewer: Alexey O. Remizov (Palaiseau) MSC: 34A36 34E15 34E10 34C23 PDFBibTeX XMLCite \textit{C. Bonet-Reves} et al., J. Differ. Equations 265, No. 5, 1761--1838 (2018; Zbl 1393.34029) Full Text: DOI arXiv
Guo, Boling; Ling, Liming; Ma, Yansheng; Yang, Hui Infinite-dimensional dynamical systems. Volume 2: Attractors and methods. (English) Zbl 1401.37003 Berlin: De Gruyter (ISBN 978-3-11-058699-2/hbk; 978-3-11-061062-8/set; 978-3-11-058726-5/ebook). viii, 405 p. (2018). MSC: 37-02 37Lxx 35Bxx PDFBibTeX XMLCite \textit{B. Guo} et al., Infinite-dimensional dynamical systems. Volume 2: Attractors and methods. Berlin: De Gruyter (2018; Zbl 1401.37003) Full Text: DOI
Sethu Meenakshi, M. V.; Athisayanathan, S.; Chinnathambi, V.; Rajasekar, S. Analytical estimates of the effect of amplitude modulated signal in nonlinearly damped Duffing-van der Pol oscillator. (Analytical estimates of the effect of amplitude modulated signal in nonlinearly damped Duffing-vander Pol oscillator.) (English) Zbl 07815515 Chin. J. Phys., Taipei 55, No. 6, 2208-2217 (2017). MSC: 37D45 34C37 34D10 34A34 37J20 37C29 PDFBibTeX XMLCite \textit{M. V. Sethu Meenakshi} et al., Chin. J. Phys., Taipei 55, No. 6, 2208--2217 (2017; Zbl 07815515) Full Text: DOI
Alemansour, Hamed; Miandoab, Ehsan Maani; Pishkenari, Hossein Nejat Effect of size on the chaotic behavior of nano resonators. (English) Zbl 1455.74045 Commun. Nonlinear Sci. Numer. Simul. 44, 495-505 (2017). MSC: 74H65 74F15 74H10 70K55 78A55 82D80 37D45 PDFBibTeX XMLCite \textit{H. Alemansour} et al., Commun. Nonlinear Sci. Numer. Simul. 44, 495--505 (2017; Zbl 1455.74045) Full Text: DOI
Zhang, Yan-Lan; Li, Chang-Qing Fractional modified Duffing-Rayleigh system and its synchronization. (English) Zbl 1398.34026 Nonlinear Dyn. 88, No. 4, 3023-3041 (2017). MSC: 34A08 34D06 34C37 PDFBibTeX XMLCite \textit{Y.-L. Zhang} and \textit{C.-Q. Li}, Nonlinear Dyn. 88, No. 4, 3023--3041 (2017; Zbl 1398.34026) Full Text: DOI
Mello, Luis; Braga, Denis; Fonseca, Alexander Study of limit cycles in piecewise smooth perturbations of Hamiltonian centers via regularization method. (English) Zbl 1413.34129 Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 79, 13 p. (2017). MSC: 34C05 37G15 34E10 34A36 34C23 PDFBibTeX XMLCite \textit{L. Mello} et al., Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 79, 13 p. (2017; Zbl 1413.34129) Full Text: DOI
Buică, Adriana On the equivalence of the Melnikov functions method and the averaging method. (English) Zbl 1392.34052 Qual. Theory Dyn. Syst. 16, No. 3, 547-560 (2017). MSC: 34C29 34C07 34E10 34C23 34C05 PDFBibTeX XMLCite \textit{A. Buică}, Qual. Theory Dyn. Syst. 16, No. 3, 547--560 (2017; Zbl 1392.34052) Full Text: DOI
Li, Shuangbao; Gong, Xiaojun; Zhang, Wei; Hao, Yuxin The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold. (English) Zbl 1384.34049 Nonlinear Dyn. 89, No. 2, 939-953 (2017). MSC: 34C27 34A36 37C29 70K44 37D45 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Dyn. 89, No. 2, 939--953 (2017; Zbl 1384.34049) Full Text: DOI
Sovrano, Elisa; Zanolin, Fabio The Ambrosetti-Prodi periodic problem: different routes to complex dynamics. (English) Zbl 1390.34116 Dyn. Syst. Appl. 26, No. 3-4, 589-626 (2017). Reviewer: Alessandro Fonda (Trieste) MSC: 34C28 34C25 54H20 PDFBibTeX XMLCite \textit{E. Sovrano} and \textit{F. Zanolin}, Dyn. Syst. Appl. 26, No. 3--4, 589--626 (2017; Zbl 1390.34116) Full Text: arXiv
Jiang, Tao; Yang, Zhiyan; Jing, Zhujun Bifurcations and chaos in the Duffing equation with parametric excitation and single external forcing. (English) Zbl 1377.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750125, 31 p. (2017). MSC: 34C15 70K40 34C37 34C29 34C28 70K28 34C23 34D10 PDFBibTeX XMLCite \textit{T. Jiang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750125, 31 p. (2017; Zbl 1377.34047) Full Text: DOI
Tian, R. L.; Zhao, Z. J.; Yang, X. W.; Zhou, Y. F. Subharmonic bifurcation for a nonsmooth oscillator. (English) Zbl 1380.37108 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750163, 12 p. (2017). MSC: 37G15 37M20 34A37 PDFBibTeX XMLCite \textit{R. L. Tian} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750163, 12 p. (2017; Zbl 1380.37108) Full Text: DOI
Chen, Fengjuan; Wang, Qiudong High-order Melnikov method for time-periodic equations. (English) Zbl 1378.37121 Adv. Nonlinear Stud. 17, No. 4, 793-818 (2017). MSC: 37M20 37D45 37C40 PDFBibTeX XMLCite \textit{F. Chen} and \textit{Q. Wang}, Adv. Nonlinear Stud. 17, No. 4, 793--818 (2017; Zbl 1378.37121) 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
Liang, Feng; Wang, Dechang Limit cycle bifurcations near a piecewise smooth generalized homoclinic loop with a saddle-fold point. (English) Zbl 1367.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750071, 25 p. (2017). MSC: 34C37 34A36 37J40 34C07 34C23 37C05 34E10 PDFBibTeX XMLCite \textit{F. Liang} and \textit{D. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750071, 25 p. (2017; Zbl 1367.34050) Full Text: DOI
Lei, Youming; Zheng, Fan; Shao, Xizhen Chaos and chaos control of the Frenkel-Kontorova model with dichotomous noise. (English) Zbl 1366.34089 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750052, 15 p. (2017). MSC: 34H10 34K60 34C28 34F05 82D25 34C60 PDFBibTeX XMLCite \textit{Y. Lei} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750052, 15 p. (2017; Zbl 1366.34089) Full Text: DOI
An, F. X.; Chen, F. Q. Multipulse orbits and chaotic dynamics of an aero-elastic FGP plate under parametric and primary excitations. (English) Zbl 1366.74038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750050, 18 p. (2017). MSC: 74K20 74H10 34C60 34C20 34C37 34C28 PDFBibTeX XMLCite \textit{F. X. An} and \textit{F. Q. Chen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750050, 18 p. (2017; Zbl 1366.74038) Full Text: DOI
Li, Z. X.; Cao, Q. J.; Léger, A. Threshold of multiple stick-slip chaos for an archetypal self-excited sd oscillator driven by moving belt friction. (English) Zbl 1358.70031 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1750009, 17 p. (2017). MSC: 70K55 70K40 70F40 70K44 PDFBibTeX XMLCite \textit{Z. X. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1750009, 17 p. (2017; Zbl 1358.70031) Full Text: DOI
de Carvalho Braga, Denis; da Fonseca, Alexander Fernandes; Mello, Luis Fernando Melnikov functions and limit cycles in piecewise smooth perturbations of a linear center using regularization method. (English) Zbl 1393.34030 Nonlinear Anal., Real World Appl. 36, 101-114 (2017). Reviewer: Tihomir Gyulov (Ruse) MSC: 34A36 34C05 34E10 34C23 PDFBibTeX XMLCite \textit{D. de Carvalho Braga} et al., Nonlinear Anal., Real World Appl. 36, 101--114 (2017; Zbl 1393.34030) Full Text: DOI
Damasceno, Josué; Dias Carneiro, Mario J.; Ramírez-Ros, Rafael The billiard inside an ellipse deformed by the curvature flow. (English) Zbl 1368.37048 Proc. Am. Math. Soc. 145, No. 2, 705-719 (2017). MSC: 37E40 37J45 37B40 53C44 37D40 PDFBibTeX XMLCite \textit{J. Damasceno} et al., Proc. Am. Math. Soc. 145, No. 2, 705--719 (2017; Zbl 1368.37048) Full Text: DOI arXiv
Capiński, Maciej J.; Zgliczyński, Piotr Beyond the Melnikov method: A computer assisted approach. (English) Zbl 1368.37035 J. Differ. Equations 262, No. 1, 365-417 (2017). MSC: 37D10 65G20 37M99 70H33 65P40 PDFBibTeX XMLCite \textit{M. J. Capiński} and \textit{P. Zgliczyński}, J. Differ. Equations 262, No. 1, 365--417 (2017; Zbl 1368.37035) Full Text: DOI arXiv
Wu, Kuilin; Li, Shimin Limit cycles for perturbing Hamiltonian system inside piecewise smooth polynomial differential system. (English) Zbl 1419.34066 Adv. Difference Equ. 2016, Paper No. 228, 8 p. (2016). MSC: 34A36 34C07 37J45 PDFBibTeX XMLCite \textit{K. Wu} and \textit{S. Li}, Adv. Difference Equ. 2016, Paper No. 228, 8 p. (2016; Zbl 1419.34066) Full Text: DOI
An, Fengxian; Chen, Fangqi Bifurcations and chaos of the nonlinear viscoelastic plates subjected to subsonic flow and external loads. (English) Zbl 1372.74054 Chaos Solitons Fractals 91, 78-85 (2016). MSC: 74K20 74H65 74H60 74D10 PDFBibTeX XMLCite \textit{F. An} and \textit{F. Chen}, Chaos Solitons Fractals 91, 78--85 (2016; Zbl 1372.74054) Full Text: DOI
Meng, Ling Chang; Li, Feng Ming; Yao, Guo; Zhang, Wei Nonlinear dynamics analysis of a thin rectangular plate in subsonic airflow. (English) Zbl 1370.74097 Math. Mech. Solids 21, No. 10, 1184-1197 (2016). MSC: 74K20 74H65 74F10 76G25 PDFBibTeX XMLCite \textit{L. C. Meng} et al., Math. Mech. Solids 21, No. 10, 1184--1197 (2016; Zbl 1370.74097) Full Text: DOI
Han, Maoan; Romanovski, Valery G.; Zhang, Xiang Equivalence of the Melnikov function method and the averaging method. (English) Zbl 1377.34056 Qual. Theory Dyn. Syst. 15, No. 2, 471-479 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C29 34C05 34C23 PDFBibTeX XMLCite \textit{M. Han} et al., Qual. Theory Dyn. Syst. 15, No. 2, 471--479 (2016; Zbl 1377.34056) Full Text: DOI
Tian, Ruilan; Zhou, Yufeng; Wang, Yanzhao; Feng, Wenjie; Yang, Xinwei Chaotic threshold for non-smooth system with multiple impulse effect. (English) Zbl 1349.37036 Nonlinear Dyn. 85, No. 3, 1849-1863 (2016). MSC: 37D45 37C29 34A37 34C37 34C28 PDFBibTeX XMLCite \textit{R. Tian} et al., Nonlinear Dyn. 85, No. 3, 1849--1863 (2016; Zbl 1349.37036) Full Text: DOI
Tian, Ruilan; Zhou, Yufeng; Zhang, Baoling; Yang, Xinwei Chaotic threshold for a class of impulsive differential system. (English) Zbl 1353.70055 Nonlinear Dyn. 83, No. 4, 2229-2240 (2016). MSC: 70K55 34A37 37C29 37D45 34C37 70K50 PDFBibTeX XMLCite \textit{R. Tian} et al., Nonlinear Dyn. 83, No. 4, 2229--2240 (2016; Zbl 1353.70055) Full Text: DOI
Norouzi, Hamed; Younesian, Davood Chaos control for the plates subjected to subsonic flow. (English) Zbl 1350.35131 Regul. Chaotic Dyn. 21, No. 4, 437-454 (2016). MSC: 35L75 37D45 74H65 74K20 35B32 PDFBibTeX XMLCite \textit{H. Norouzi} and \textit{D. Younesian}, Regul. Chaotic Dyn. 21, No. 4, 437--454 (2016; Zbl 1350.35131) Full Text: DOI
Shen, Jun; Du, Zhengdong Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones. (English) Zbl 1362.34026 Z. Angew. Math. Phys. 67, No. 3, Article ID 42, 17 p. (2016). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34A36 34C23 34C37 34C28 34A45 PDFBibTeX XMLCite \textit{J. Shen} and \textit{Z. Du}, Z. Angew. Math. Phys. 67, No. 3, Article ID 42, 17 p. (2016; Zbl 1362.34026) Full Text: DOI
Battelli, Flaviano; Fečkan, Michal Blue sky-like catastrophe for reversible nonlinear implicit ODEs. (English) Zbl 1357.34022 Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 895-922 (2016). Reviewer: Werner M. Seiler (Kassel) MSC: 34A09 34A45 34C23 37G40 34C37 34C14 34E10 PDFBibTeX XMLCite \textit{F. Battelli} and \textit{M. Fečkan}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 895--922 (2016; Zbl 1357.34022) Full Text: DOI
Martín, P.; Ramírez-Ros, R.; Tamarit-Sariol, A. Exponentially small asymptotic formulas for the length spectrum in some billiard tables. (English) Zbl 1360.37093 Exp. Math. 25, No. 4, 416-440 (2016). MSC: 37D50 37J50 65P10 52A10 37M05 37M15 PDFBibTeX XMLCite \textit{P. Martín} et al., Exp. Math. 25, No. 4, 416--440 (2016; Zbl 1360.37093) Full Text: DOI arXiv Link
Li, Shuangbao; Ma, Wensai; Zhang, Wei; Hao, Yuxin Melnikov method for a class of planar hybrid piecewise-smooth systems. (English) Zbl 1334.34037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650030, 12 p. (2016). MSC: 34A36 34C37 34C45 34C23 34C28 PDFBibTeX XMLCite \textit{S. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650030, 12 p. (2016; Zbl 1334.34037) Full Text: DOI
Li, Shuangbao; Ma, Wensai; Zhang, Wei; Hao, Yuxin Melnikov method for a three-zonal planar hybrid piecewise-smooth system and application. (English) Zbl 1334.34036 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650014, 13 p. (2016). MSC: 34A36 34C25 34D10 PDFBibTeX XMLCite \textit{S. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650014, 13 p. (2016; Zbl 1334.34036) Full Text: DOI
Tajaddodianfar, Farid; Nejat Pishkenari, Hossein; Hairi Yazdi, Mohammad Reza Prediction of chaos in electrostatically actuated arch micro-nano resonators: analytical approach. (English) Zbl 1489.78004 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 182-195 (2015). MSC: 78A30 37D45 74H65 PDFBibTeX XMLCite \textit{F. Tajaddodianfar} et al., Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 182--195 (2015; Zbl 1489.78004) Full Text: DOI
Wang, Xiaodong; Chen, Yushu; Han, Gang; Song, Caiqin Nonlinear dynamic analysis of a single-machine infinite-bus power system. (English) Zbl 1463.34164 Appl. Math. Modelling 39, No. 10-11, 2951-2961 (2015). MSC: 34C28 70K55 34C60 34D10 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Modelling 39, No. 10--11, 2951--2961 (2015; Zbl 1463.34164) Full Text: DOI
Chen, Zhen; Liu, X. B. Effect of bounded noise on chaotic motions of stochastically perturbed slowly varying oscillator. (English) Zbl 1352.34092 Chaos Solitons Fractals 76, 72-81 (2015). MSC: 34K10 34K50 34K60 37M05 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{X. B. Liu}, Chaos Solitons Fractals 76, 72--81 (2015; Zbl 1352.34092) Full Text: DOI
Feng, Jinqian; Liu, Junli Chaotic dynamics of the vibro-impact system under bounded noise perturbation. (English) Zbl 1352.70044 Chaos Solitons Fractals 73, 10-16 (2015). MSC: 70H05 35R12 37M05 37D45 PDFBibTeX XMLCite \textit{J. Feng} and \textit{J. Liu}, Chaos Solitons Fractals 73, 10--16 (2015; Zbl 1352.70044) Full Text: DOI
Sun, M.; Zhang, W.; Chen, J. E.; Yao, M. H. Subharmonic Melnikov method of four-dimensional non-autonomous systems and application to a rectangular thin plate. (English) Zbl 1348.37028 Nonlinear Dyn. 82, No. 1-2, 643-662 (2015). MSC: 37B55 70K65 74K20 PDFBibTeX XMLCite \textit{M. Sun} et al., Nonlinear Dyn. 82, No. 1--2, 643--662 (2015; Zbl 1348.37028) Full Text: DOI
Yagasaki, Kazuyuki Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems. (English) Zbl 1344.34054 Ei, Shin-Ichiro (ed.) et al., Nonlinear dynamics in partial differential equations. Proceedings of the 4th MSJ-SI international conference, Kyushu, Japan, September 12–21, 2011. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-022-8/hbk). Advanced Studies in Pure Mathematics 64, 229-234 (2015). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 34C23 34C29 34C14 PDFBibTeX XMLCite \textit{K. Yagasaki}, Adv. Stud. Pure Math. 64, 229--234 (2015; Zbl 1344.34054)
Liang, Feng; Yang, Junmin Limit cycles near a piecewise smooth generalized homoclinic loop with a nonelementary singular point. (English) Zbl 1330.34051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550176, 22 p. (2015). MSC: 34C05 34C37 34C23 37J45 37J40 PDFBibTeX XMLCite \textit{F. Liang} and \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550176, 22 p. (2015; Zbl 1330.34051) Full Text: DOI
Gao, Junming Homoclinic bifurcation in a quasiperiodically forced inverted pendulum. (Chinese. English summary) Zbl 1340.37067 J. Sichuan Univ., Nat. Sci. Ed. 52, No. 1, 11-15 (2015). MSC: 37G15 37C29 PDFBibTeX XMLCite \textit{J. Gao}, J. Sichuan Univ., Nat. Sci. Ed. 52, No. 1, 11--15 (2015; Zbl 1340.37067) Full Text: DOI
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
Gao, Junming; Du, Zhengdong Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum. (English) Zbl 1345.34056 Nonlinear Dyn. 79, No. 2, 1061-1074 (2015). MSC: 34C15 37G25 37C29 70E17 37M05 37N05 PDFBibTeX XMLCite \textit{J. Gao} and \textit{Z. Du}, Nonlinear Dyn. 79, No. 2, 1061--1074 (2015; Zbl 1345.34056) Full Text: DOI
Yuan, Shao-liang; Jing, Zhu-jun Bifurcations of periodic solutions and chaos in Josephson system with parametric excitation. (English) Zbl 1343.34097 Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 335-368 (2015). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C23 34C28 34C29 34C25 70K40 PDFBibTeX XMLCite \textit{S.-l. Yuan} and \textit{Z.-j. Jing}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 335--368 (2015; Zbl 1343.34097) Full Text: DOI