Chen, Hebai; Feng, Zhaosheng; Li, Zhijie; Wang, Zhaoxia Dynamical behaviors of van der Pol-Duffing systems with indefinite degree. (English) Zbl 07770132 Discrete Contin. Dyn. Syst. 44, No. 1, 281-317 (2024). MSC: 34C07 34C23 34C37 34C05 PDFBibTeX XMLCite \textit{H. Chen} et al., Discrete Contin. Dyn. Syst. 44, No. 1, 281--317 (2024; Zbl 07770132) Full Text: DOI
Li, Xiaowan; Ji, Shuguan Geometric singular perturbation analysis to the coupled Schrödinger equations. (English) Zbl 1528.35163 Appl. Math. Lett. 148, Article ID 108870, 8 p. (2024). MSC: 35Q55 35Q41 35C08 35B25 35C20 35A01 35A02 34K16 PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Ji}, Appl. Math. Lett. 148, Article ID 108870, 8 p. (2024; Zbl 1528.35163) Full Text: DOI
Murray, Maxime; Mireles James, J. D. Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem. (English) Zbl 07765633 J. Differ. Equations 378, 559-609 (2024). MSC: 70F10 70K55 70K44 70H12 70-08 PDFBibTeX XMLCite \textit{M. Murray} and \textit{J. D. Mireles James}, J. Differ. Equations 378, 559--609 (2024; Zbl 07765633) Full Text: DOI arXiv
Shang, Zuchong; Qiao, Yuanhua Bogdanov-Takens bifurcation of codimensions 3 and 4 in a Holling and Leslie type predator-prey system with strong Allee effect. (English) Zbl 1528.34037 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 23, 40 p. (2024). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 34C23 34C07 34C20 34C37 34C60 92D25 PDFBibTeX XMLCite \textit{Z. Shang} and \textit{Y. Qiao}, Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 23, 40 p. (2024; Zbl 1528.34037) Full Text: DOI
Guo, Chengjun; Chen, Baili; Liu, Junming; Agarwal, Ravi P. Existence of homoclinic orbits of a class of second-order quasilinear Schrödinger equations with delay. (English) Zbl 07784556 Rocky Mt. J. Math. 53, No. 5, 1489-1509 (2023). MSC: 34K16 58E50 PDFBibTeX XMLCite \textit{C. Guo} et al., Rocky Mt. J. Math. 53, No. 5, 1489--1509 (2023; Zbl 07784556) Full Text: DOI Link
Arsie, Alessandro; Kottegoda, Chanaka; Shan, Chunhua High codimension bifurcations of a predator-prey system with generalized Holling type III functional response and Allee effects. (English) Zbl 07781542 J. Dyn. Differ. Equations 35, No. 4, 3355-3380 (2023). MSC: 34C60 92D25 34C05 34D20 34C23 34C37 34C07 PDFBibTeX XMLCite \textit{A. Arsie} et al., J. Dyn. Differ. Equations 35, No. 4, 3355--3380 (2023; Zbl 07781542) Full Text: DOI
Jia, Man; Su, Youfeng; Chen, Hebai Global studies on a continuous planar piecewise linear differential system with three zones. (English) Zbl 1523.34035 Nonlinear Dyn. 111, No. 4, 3539-3573 (2023). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{M. Jia} et al., Nonlinear Dyn. 111, No. 4, 3539--3573 (2023; Zbl 1523.34035) Full Text: DOI
Li, Shimin; Llibre, Jaume; Sun, Xianbo On the indices of singular points for planar bounded piecewise smooth polynomial vector field. (English) Zbl 1516.34075 Nonlinear Anal., Hybrid Syst. 49, Article ID 101350, 8 p. (2023). MSC: 34C37 34C07 37G15 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Anal., Hybrid Syst. 49, Article ID 101350, 8 p. (2023; Zbl 1516.34075) Full Text: DOI
Liu, Haozhe; Wei, Zhouchao; Moroz, Irene Limit cycles and bifurcations in a class of planar piecewise linear systems with a nonregular separation line. (English) Zbl 1528.34018 J. Math. Anal. Appl. 526, No. 2, Article ID 127318, 25 p. (2023). Reviewer: Lucyjane Silva (Goiânia) MSC: 34A36 34A30 34C05 34C23 34C37 34C20 34C07 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Math. Anal. Appl. 526, No. 2, Article ID 127318, 25 p. (2023; Zbl 1528.34018) Full Text: DOI
Izydorek, Marek; Janczewska, Joanna; Soares, Pedro A convergence result for mountain pass periodic solutions of perturbed Hamiltonian systems. (English) Zbl 1521.37067 Commun. Contemp. Math. 25, No. 6, Article ID 2250011, 10 p. (2023). MSC: 37J46 49J35 PDFBibTeX XMLCite \textit{M. Izydorek} et al., Commun. Contemp. Math. 25, No. 6, Article ID 2250011, 10 p. (2023; Zbl 1521.37067) Full Text: DOI
Sugie, Jitsuro Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function. (English) Zbl 1520.34026 J. Differ. Equations 361, 219-247 (2023). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C11 34C37 34B30 PDFBibTeX XMLCite \textit{J. Sugie}, J. Differ. Equations 361, 219--247 (2023; Zbl 1520.34026) Full Text: DOI
Geng, Wei; Han, Maoan; Tian, Yun; Ke, Ai Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. (English) Zbl 1520.34034 J. Differ. Equations 357, 412-435 (2023). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C23 37J40 34E10 34C07 34C05 34C37 PDFBibTeX XMLCite \textit{W. Geng} et al., J. Differ. Equations 357, 412--435 (2023; Zbl 1520.34034) Full Text: DOI
Han, Maoan; Yang, Junmin; Li, Jibin General study on limit cycle bifurcation near a double homoclinic loop. (English) Zbl 1516.34068 J. Differ. Equations 347, 1-23 (2023). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C05 34C37 34C07 37J40 PDFBibTeX XMLCite \textit{M. Han} et al., J. Differ. Equations 347, 1--23 (2023; Zbl 1516.34068) Full Text: DOI
Li, Tao; Llibre, Jaume Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. (English) Zbl 1511.34016 J. Differ. Equations 344, 405-438 (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C07 34C29 34C05 37J46 34C23 34E10 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, J. Differ. Equations 344, 405--438 (2023; Zbl 1511.34016) Full Text: DOI
Wang, Zhaoxia; Chen, Hebai; Tang, Yilei The focus case of a nonsmooth Rayleigh-Duffing oscillator. (English) Zbl 1517.34045 Nonlinear Dyn. 107, No. 1, 269-311 (2022). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Dyn. 107, No. 1, 269--311 (2022; Zbl 1517.34045) Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones. (English) Zbl 1514.34034 São Paulo J. Math. Sci. 16, No. 2, 932-956 (2022). Reviewer: Alois Steindl (Wien) MSC: 34A36 34A30 34C37 34C05 34C07 34C23 34E10 37J46 37J40 PDFBibTeX XMLCite \textit{C. Pessoa} and \textit{R. Ribeiro}, São Paulo J. Math. Sci. 16, No. 2, 932--956 (2022; Zbl 1514.34034) Full Text: DOI
Ke, Xiao-Feng; Liao, Jia-Feng On the existence of periodic solutions to second order Hamiltonian systems. (English) Zbl 1524.37053 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 36, 12 p. (2022). MSC: 37J46 70H12 PDFBibTeX XMLCite \textit{X.-F. Ke} and \textit{J.-F. Liao}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 36, 12 p. (2022; Zbl 1524.37053) Full Text: DOI
Marin, David; Villadelprat, Jordi On the cyclicity of Kolmogorov polycycles. (English) Zbl 1513.34151 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 35, 31 p. (2022). MSC: 34C23 34C07 34C37 34E10 34C05 PDFBibTeX XMLCite \textit{D. Marin} and \textit{J. Villadelprat}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 35, 31 p. (2022; Zbl 1513.34151) Full Text: DOI arXiv
Li, Zhengkang; Liu, Xingbo Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. (English) Zbl 1507.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C05 34A36 34C07 37J46 34A30 34D20 34C23 PDFBibTeX XMLCite \textit{Z. Li} and \textit{X. Liu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022; Zbl 1507.34034) Full Text: DOI
Merle, Frank; Rapha\'’el, Pierre; Rodnianski, Igor; Szeftel, Jeremie On the implosion of a compressible fluid. I: Smooth self-similar inviscid profiles. (English) Zbl 1497.35384 Ann. Math. (2) 196, No. 2, 567-778 (2022). MSC: 35Q35 35Q31 34C37 35C06 35B65 76Q05 76N10 PDFBibTeX XMLCite \textit{F. Merle} et al., Ann. Math. (2) 196, No. 2, 567--778 (2022; Zbl 1497.35384) Full Text: DOI
Chen, Hebai; Jin, Jie; Wang, Zhaoxia; Zhang, Baodong A van der Pol-Duffing oscillator with indefinite degree. (English) Zbl 1504.34089 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 98, 25 p. (2022). MSC: 34C15 34C07 34C05 34C23 34C37 34B30 PDFBibTeX XMLCite \textit{H. Chen} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 98, 25 p. (2022; Zbl 1504.34089) Full Text: DOI
Euzébio, Rodrigo D.; Llibre, Jaume; Tonon, Durval J. Lower bounds for the number of limit cycles in a generalised Rayleigh-Liénard oscillator. (English) Zbl 1509.34035 Nonlinearity 35, No. 8, 3883-3906 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 34C37 34E10 34B30 PDFBibTeX XMLCite \textit{R. D. Euzébio} et al., Nonlinearity 35, No. 8, 3883--3906 (2022; Zbl 1509.34035) Full Text: DOI arXiv
Wei, Lijun; Zhang, Xiang Corrigendum to: “Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems”. (English) Zbl 1493.34107 Nonlinearity 35, No. 8, C13-C17 (2022). MSC: 34C07 34C05 34C08 34C23 34C37 34E10 37J40 PDFBibTeX XMLCite \textit{L. Wei} and \textit{X. Zhang}, Nonlinearity 35, No. 8, C13--C17 (2022; Zbl 1493.34107) Full Text: DOI
Marín, D.; Villadelprat, J. The criticality of reversible quadratic centers at the outer boundary of its period annulus. (English) Zbl 1501.34032 J. Differ. Equations 332, 123-201 (2022). MSC: 34C07 34C05 34C20 34C23 34C37 34C14 34E05 PDFBibTeX XMLCite \textit{D. Marín} and \textit{J. Villadelprat}, J. Differ. Equations 332, 123--201 (2022; Zbl 1501.34032) Full Text: DOI arXiv
Yang, Junmin; Hu, Xing Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. (English) Zbl 1505.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C05 34C23 34C37 34E10 37J40 34C07 PDFBibTeX XMLCite \textit{J. Yang} and \textit{X. Hu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022; Zbl 1505.34049) Full Text: DOI
Dalbono, Francesca; Franca, Matteo; Sfecci, Andrea Multiplicity of radial ground states for the scalar curvature equation without reciprocal symmetry. (English) Zbl 1485.35231 J. Dyn. Differ. Equations 34, No. 1, 701-720 (2022). MSC: 35J91 35J05 35A01 37D10 34C37 PDFBibTeX XMLCite \textit{F. Dalbono} et al., J. Dyn. Differ. Equations 34, No. 1, 701--720 (2022; Zbl 1485.35231) Full Text: DOI
Chen, Jiangbin; Han, Maoan Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system. (English) Zbl 1525.34041 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 34, 42 p. (2022). MSC: 34A36 34C05 34C07 34C23 34C08 37J40 34C37 PDFBibTeX XMLCite \textit{J. Chen} and \textit{M. Han}, Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 34, 42 p. (2022; Zbl 1525.34041) Full Text: DOI
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi Global dynamics in nonconservative nonlinear Schrödinger equations. (English) Zbl 1492.35309 Adv. Math. 398, Article ID 108234, 70 p. (2022). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35B40 35B20 37K99 37M21 35A01 PDFBibTeX XMLCite \textit{J. Jaquette} et al., Adv. Math. 398, Article ID 108234, 70 p. (2022; Zbl 1492.35309) Full Text: DOI arXiv
Mardešić, P.; Marín, D.; Villadelprat, J. Bifurcations of zeros in translated families of functions and applications. (English) Zbl 1495.34061 J. Dyn. Control Syst. 28, No. 1, 121-150 (2022). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C05 34C25 34C37 34C07 PDFBibTeX XMLCite \textit{P. Mardešić} et al., J. Dyn. Control Syst. 28, No. 1, 121--150 (2022; Zbl 1495.34061) Full Text: DOI Link
Llibre, Jaume; Oliveira, Regilene; Zhao, Yulin On the birth and death of algebraic limit cycles in quadratic differential systems. (English) Zbl 1509.34032 Eur. J. Appl. Math. 32, No. 2, 317-336 (2021). MSC: 34C05 34C07 34C23 34C37 PDFBibTeX XMLCite \textit{J. Llibre} et al., Eur. J. Appl. Math. 32, No. 2, 317--336 (2021; Zbl 1509.34032) Full Text: DOI
Li, Shimin; Liu, Changjian; Llibre, Jaume The planar discontinuous piecewise linear refracting systems have at most one limit cycle. (English) Zbl 1474.34286 Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021). MSC: 34C37 34C07 37G15 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021; Zbl 1474.34286) Full Text: DOI
Xiong, Yanqin; Han, Maoan Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle. (English) Zbl 1489.34051 J. Differ. Equations 303, 575-607 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C23 34C37 34A36 34E10 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{M. Han}, J. Differ. Equations 303, 575--607 (2021; Zbl 1489.34051) Full Text: DOI
Deng, Yanxia; Ibrahim, Slim Global existence and singularity of Hill’s lunar problem with strong potential. (English) Zbl 1503.70009 J. Math. Phys. 62, No. 9, Article ID 092901, 27 p. (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 70F15 70F16 70H03 70H05 37C29 34A12 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{S. Ibrahim}, J. Math. Phys. 62, No. 9, Article ID 092901, 27 p. (2021; Zbl 1503.70009) Full Text: DOI arXiv
Gomez, Adrian; Morales, Nolbert; Zamora, Manuel An elementary proof of the existence of monotone traveling waves solutions in a generalized Klein-Gordon equation. (English) Zbl 1473.35091 Math. Methods Appl. Sci. 44, No. 13, 10785-10789 (2021). MSC: 35C07 35A01 35A09 35A24 35L71 34C37 81Q05 PDFBibTeX XMLCite \textit{A. Gomez} et al., Math. Methods Appl. Sci. 44, No. 13, 10785--10789 (2021; Zbl 1473.35091) Full Text: DOI
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type. (English) Zbl 1469.49003 Ann. Mat. Pura Appl. (4) 200, No. 5, 1999-2041 (2021). MSC: 49J15 34C37 35A15 49Q20 35B65 PDFBibTeX XMLCite \textit{A. Cesaroni} et al., Ann. Mat. Pura Appl. (4) 200, No. 5, 1999--2041 (2021; Zbl 1469.49003) Full Text: DOI arXiv
Chen, Hebai; Tang, Yilei; Xiao, Dongmei Global dynamics of a quintic Liénard system with \(\mathbb{Z}_2\)-symmetry. I: Saddle case. (English) Zbl 1478.34033 Nonlinearity 34, No. 6, 4332-4372 (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C07 34C14 34C23 34C37 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinearity 34, No. 6, 4332--4372 (2021; Zbl 1478.34033) Full Text: DOI
Sun, Xianbo; Chen, Zhanbo; Yu, Pei Parameter identification on abelian integrals to achieve Chebyshev property. (English) Zbl 1484.34094 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661-5679 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C23 34C37 37J40 34E10 34C05 PDFBibTeX XMLCite \textit{X. Sun} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661--5679 (2021; Zbl 1484.34094) Full Text: DOI
Yang, Peixing; Yang, Yuan; Yu, Jiang Up to second order Melnikov functions for general piecewise Hamiltonian systems with nonregular separation line. (English) Zbl 1469.34049 J. Differ. Equations 285, 583-606 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34E10 34C23 34A36 37J46 PDFBibTeX XMLCite \textit{P. Yang} et al., J. Differ. Equations 285, 583--606 (2021; Zbl 1469.34049) Full Text: DOI
Gong, Wenmin Symplectic deformations of Floer homology and non-contractible periodic orbits in twisted disc bundles. (English) Zbl 1451.53119 Commun. Contemp. Math. 23, No. 1, Article ID 1950084, 36 p. (2021). MSC: 53D40 37J46 70H12 PDFBibTeX XMLCite \textit{W. Gong}, Commun. Contemp. Math. 23, No. 1, Article ID 1950084, 36 p. (2021; Zbl 1451.53119) Full Text: DOI arXiv
Li, Tao; Chen, Xingwu Degenerate grazing-sliding bifurcations in planar Filippov systems. (English) Zbl 1454.34030 J. Differ. Equations 269, No. 12, 11396-11434 (2020). Reviewer: Xiang Zhang (Shanghai) MSC: 34A36 34C05 34C23 34C37 34C07 PDFBibTeX XMLCite \textit{T. Li} and \textit{X. Chen}, J. Differ. Equations 269, No. 12, 11396--11434 (2020; Zbl 1454.34030) Full Text: DOI
Chen, Xingwu; Wang, Zhaoxia; Zhang, Weinian Reachability of maximal number of critical periods without independence. (English) Zbl 1472.34064 J. Differ. Equations 269, No. 11, 9783-9803 (2020). Reviewer: Changjian Liu (Zhuhai) MSC: 34C07 34C23 34C37 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Differ. Equations 269, No. 11, 9783--9803 (2020; Zbl 1472.34064) Full Text: DOI
Sun, Xianbo; Yu, Pei Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop. (English) Zbl 1452.34043 J. Differ. Equations 269, No. 11, 9224-9253 (2020). MSC: 34C07 34C05 34C23 34E10 37G20 37J40 34C37 PDFBibTeX XMLCite \textit{X. Sun} and \textit{P. Yu}, J. Differ. Equations 269, No. 11, 9224--9253 (2020; Zbl 1452.34043) 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
Sheng, Lijuan; Han, Maoan; Tian, Yun On the number of limit cycles bifurcating from a compound polycycle. (English) Zbl 1451.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050099, 16 p. (2020). Reviewer: Stefano Biagi (Milano) MSC: 34C07 34C05 34C37 34C23 34E10 PDFBibTeX XMLCite \textit{L. Sheng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050099, 16 p. (2020; Zbl 1451.34034) Full Text: DOI
Marín, D.; Villadelprat, J. Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local setting. (English) Zbl 1447.34041 J. Differ. Equations 269, No. 10, 8425-8467 (2020). MSC: 34C20 34C23 34C07 34C37 34A25 34C05 PDFBibTeX XMLCite \textit{D. Marín} and \textit{J. Villadelprat}, J. Differ. Equations 269, No. 10, 8425--8467 (2020; Zbl 1447.34041) Full Text: DOI
García-Saldaña, J. D.; Gasull, A.; Giacomini, H. A new approach for the study of limit cycles. (English) Zbl 1446.34048 J. Differ. Equations 269, No. 7, 6269-6292 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 34C05 34C07 34C08 34C37 PDFBibTeX XMLCite \textit{J. D. García-Saldaña} et al., J. Differ. Equations 269, No. 7, 6269--6292 (2020; Zbl 1446.34048) Full Text: DOI arXiv
Wei, Lijun; Zhang, Xiang Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. (English) Zbl 1444.34058 Nonlinearity 33, No. 6, 2723-2754 (2020); corrigendum ibid. 35, No. 8, C13-C17 (2022). MSC: 34C07 34C05 34C08 34C23 34C37 34E10 37J40 PDFBibTeX XMLCite \textit{L. Wei} and \textit{X. Zhang}, Nonlinearity 33, No. 6, 2723--2754 (2020; Zbl 1444.34058) Full Text: DOI
Yang, Sumin; Qin, Bin; Xia, Guoen; Xia, Yong-Hui Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven. (English) Zbl 1446.34055 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 33, 20 p. (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C08 34C07 34C23 34E10 37J40 34C37 PDFBibTeX XMLCite \textit{S. Yang} et al., Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 33, 20 p. (2020; Zbl 1446.34055) Full Text: DOI
Chladná, Zuzana; Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei Nonlinearly determined wavefronts of the Nicholson’s diffusive equation: when small delays are not harmless. (English) Zbl 1443.34073 J. Differ. Equations 268, No. 9, 5156-5178 (2020). Reviewer: Rodica Luca (Iaşi) MSC: 34K16 34K12 35C07 35K57 35R10 92D25 PDFBibTeX XMLCite \textit{Z. Chladná} et al., J. Differ. Equations 268, No. 9, 5156--5178 (2020; Zbl 1443.34073) Full Text: DOI arXiv
Chen, Hebai; Chen, Xingwu Dynamical analysis of a cubic Liénard system with global parameters. III. (English) Zbl 1439.34041 Nonlinearity 33, No. 4, 1443-1465 (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34C23 34C07 34C37 34C05 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Chen}, Nonlinearity 33, No. 4, 1443--1465 (2020; Zbl 1439.34041) Full Text: DOI
Li, Xiaowan; Du, Zengji; Ji, Shuguan Existence results of solitary wave solutions for a delayed Camassa-Holm-KP equation. (English) Zbl 1489.35240 Commun. Pure Appl. Anal. 18, No. 6, 2961-2981 (2019). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 35Q35 76B25 35L05 35C08 35B25 35A01 35A02 74J35 34D15 34K16 35R07 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Pure Appl. Anal. 18, No. 6, 2961--2981 (2019; Zbl 1489.35240) Full Text: DOI
Asheghi, Rasoul; Nabavi, Arefeh Higher order Melnikov functions for studying limit cycles of some perturbed elliptic Hamiltonian vector fields. (English) Zbl 1420.34065 Qual. Theory Dyn. Syst. 18, No. 1, 289-313 (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 34C23 34C07 34C05 34E10 37J45 PDFBibTeX XMLCite \textit{R. Asheghi} and \textit{A. Nabavi}, Qual. Theory Dyn. Syst. 18, No. 1, 289--313 (2019; Zbl 1420.34065) Full Text: DOI
Chen, Chao-Nien; Lin, Che-Hao; Tzeng, Shyuh-Yaur Localized front structures in FitzHugh-Nagumo equations. (English) Zbl 1415.34048 Taiwanese J. Math. 23, No. 2, 333-349 (2019). MSC: 34B08 34C37 35K57 34C07 34B40 PDFBibTeX XMLCite \textit{C.-N. Chen} et al., Taiwanese J. Math. 23, No. 2, 333--349 (2019; Zbl 1415.34048) Full Text: DOI Euclid
Li, Shimin; Llibre, Jaume Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line. (English) Zbl 1412.34111 J. Differ. Equations 266, No. 12, 8094-8109 (2019). Reviewer: Marco Spadini (Firenze) MSC: 34C05 34C37 34C07 37G15 PDFBibTeX XMLCite \textit{S. Li} and \textit{J. Llibre}, J. Differ. Equations 266, No. 12, 8094--8109 (2019; Zbl 1412.34111) Full Text: DOI Link
Zhang, Qiongfen Existence of fast homoclinic solutions for a class of second-order damped vibration systems. (English) Zbl 1499.34261 Bound. Value Probl. 2018, Paper No. 75, 13 p. (2018). MSC: 34C37 58E50 37C60 PDFBibTeX XMLCite \textit{Q. Zhang}, Bound. Value Probl. 2018, Paper No. 75, 13 p. (2018; Zbl 1499.34261) Full Text: DOI
Agarwal, R. P.; Aghajani, A.; Mirafzal, M. Exact conditions for the existence of homoclinic orbits in the Liénard systems. (English) Zbl 1423.37021 Mem. Differ. Equ. Math. Phys. 75, 93-104 (2018). MSC: 37C29 34A12 34C37 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Mem. Differ. Equ. Math. Phys. 75, 93--104 (2018; Zbl 1423.37021) Full Text: Link
Chen, Xingfan; Guo, Fei; Liu, Peng Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions. (English) Zbl 1408.37104 Front. Math. China 13, No. 6, 1313-1323 (2018). MSC: 37J45 34C25 47E05 49J35 58E50 PDFBibTeX XMLCite \textit{X. Chen} et al., Front. Math. China 13, No. 6, 1313--1323 (2018; Zbl 1408.37104) Full Text: DOI
Tian, Huanhuan Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order 2. (English) Zbl 1424.34115 J. Shanghai Norm. Univ., Nat. Sci. 47, No. 3, 338-348 (2018). MSC: 34C07 37G15 34C23 34C05 34C37 37J40 PDFBibTeX XMLCite \textit{H. Tian}, J. Shanghai Norm. Univ., Nat. Sci. 47, No. 3, 338--348 (2018; Zbl 1424.34115) Full Text: arXiv
Rachunek, Lukas; Rachunkova, Irena Homoclinic solutions of singular differential equations with \(\phi\)-Laplacian. (English) Zbl 1413.34063 Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 72, 19 p. (2018). MSC: 34A12 34C37 34D05 PDFBibTeX XMLCite \textit{L. Rachunek} and \textit{I. Rachunkova}, Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 72, 19 p. (2018; Zbl 1413.34063) Full Text: DOI
Chen, Hebai; Chen, Xingwu Global phase portraits of a degenerate Bogdanov-Takens system with symmetry. II. (English) Zbl 1405.34023 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4141-4170 (2018). MSC: 34C05 34C07 34C23 34C37 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Chen}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4141--4170 (2018; Zbl 1405.34023) Full Text: DOI
Chen, Hebai; Huang, Deqing; Jian, Yupei The saddle case of Rayleigh-Duffing oscillators. (English) Zbl 1398.34047 Nonlinear Dyn. 93, No. 4, 2283-2300 (2018). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinear Dyn. 93, No. 4, 2283--2300 (2018; Zbl 1398.34047) Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. Solutions of mountain pass type for double well potential systems. (English) Zbl 1405.37072 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 114, 31 p. (2018). MSC: 37J45 34A34 34C37 49J35 58E05 PDFBibTeX XMLCite \textit{P. Montecchiari} and \textit{P. H. Rabinowitz}, Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 114, 31 p. (2018; Zbl 1405.37072) Full Text: DOI
Yang, Jiaopeng; Li, Zongguang; Liu, Zhengrong The existence and bifurcation of peakon and anti-peakon to the \(n\)-degree \(b\)-equations. (English) Zbl 1388.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850014, 17 p. (2018). MSC: 34C37 34C07 35K41 34C23 PDFBibTeX XMLCite \textit{J. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850014, 17 p. (2018; Zbl 1388.34043) Full Text: DOI
Shi, Jianping; Jiang, Wentao Bifurcation of limit cycles in a 12-degree Hamiltonian system under thirteenth-order perturbation. (English) Zbl 1388.34032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850011, 15 p. (2018). MSC: 34C23 34C07 34C14 34C37 37J40 PDFBibTeX XMLCite \textit{J. Shi} and \textit{W. Jiang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850011, 15 p. (2018; Zbl 1388.34032) Full Text: DOI
Rojas, D.; Villadelprat, J. A criticality result for polycycles in a family of quadratic reversible centers. (English) Zbl 1406.34061 J. Differ. Equations 264, No. 11, 6585-6602 (2018). Reviewer: Valery Romanovski (Maribor) MSC: 34C07 34C23 34C25 34C37 PDFBibTeX XMLCite \textit{D. Rojas} and \textit{J. Villadelprat}, J. Differ. Equations 264, No. 11, 6585--6602 (2018; Zbl 1406.34061) Full Text: DOI arXiv Link
Tiba, Dan Iterated Hamiltonian type systems and applications. (English) Zbl 1382.37065 J. Differ. Equations 264, No. 8, 5465-5479 (2018). MSC: 37J45 26B10 34A12 49K21 49M37 PDFBibTeX XMLCite \textit{D. Tiba}, J. Differ. Equations 264, No. 8, 5465--5479 (2018; Zbl 1382.37065) Full Text: DOI arXiv
Nie, Qianqian; Guo, Fei; Wang, Mingwei Generalized nonsmooth saddle point theorem and its applications on second order Hamiltonian systems. (English) Zbl 1380.70040 Chaos Solitons Fractals 104, 741-747 (2017). MSC: 70H05 37J45 49J35 34C25 PDFBibTeX XMLCite \textit{Q. Nie} et al., Chaos Solitons Fractals 104, 741--747 (2017; Zbl 1380.70040) Full Text: DOI
Han, Mao’an Bifurcation theory of limit cycles. (English) Zbl 1415.34001 Beijing: Science Press; Oxford: Alpha Science International (ISBN 978-1-78332-271-8/hbk). ix, 348 p. (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34-02 34C23 34C05 34C07 34C37 34E10 PDFBibTeX XMLCite \textit{M. Han}, Bifurcation theory of limit cycles. Beijing: Science Press; Oxford: Alpha Science International (2017; Zbl 1415.34001)
Yang, Jihua; Zhang, Erli; Liu, Mei Limit cycle bifurcations of a piecewise smooth Hamiltonian system with a generalized heteroclinic loop through a cusp. (English) Zbl 1382.34050 Commun. Pure Appl. Anal. 16, No. 6, 2321-2336 (2017). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C05 34C07 34A36 34C37 PDFBibTeX XMLCite \textit{J. Yang} et al., Commun. Pure Appl. Anal. 16, No. 6, 2321--2336 (2017; Zbl 1382.34050) Full Text: DOI
Bakhshalizadeh, A.; Asheghi, R.; Zangeneh, H. R. Z.; Ezatpanah Gashti, M. Limit cycles near an eye-figure loop in some polynomial Liénard systems. (English) Zbl 1377.34041 J. Math. Anal. Appl. 455, No. 1, 500-515 (2017). Reviewer: Predrag Punosevac (Pittsburgh) MSC: 34C07 34C23 34C37 PDFBibTeX XMLCite \textit{A. Bakhshalizadeh} et al., J. Math. Anal. Appl. 455, No. 1, 500--515 (2017; Zbl 1377.34041) 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
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia On the bifurcation of limit cycles due to polynomial perturbations of Hamiltonian centers. (English) Zbl 1375.34063 Mediterr. J. Math. 14, No. 2, Paper No. 40, 10 p. (2017). Reviewer: Jaume Giné (Lleida) MSC: 34C23 34C05 34E10 34C07 37J45 PDFBibTeX XMLCite \textit{I. E. Colak} et al., Mediterr. J. Math. 14, No. 2, Paper No. 40, 10 p. (2017; Zbl 1375.34063) Full Text: DOI Link
Moghimi, Pegah; Asheghi, Rasoul; Kazemi, Rasool On the number of limit cycles bifurcated from some Hamiltonian systems with a double homoclinic loop and a heteroclinic loop. (English) Zbl 1366.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750055, 15 p. (2017). MSC: 34C07 34C23 34E05 34E10 34C37 34C05 PDFBibTeX XMLCite \textit{P. Moghimi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750055, 15 p. (2017; Zbl 1366.34047) Full Text: DOI
Chen, Xinfu; Liu, Guirong; Qi, Yuanwei The existence of minimum speed of traveling wave solutions to a non-KPP isothermal diffusion system. (English) Zbl 1385.34025 J. Differ. Equations 263, No. 3, 1695-1707 (2017). Reviewer: Sergei Kornev (Voronezh) MSC: 34B40 34C37 34C20 92E20 35C07 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Differ. Equations 263, No. 3, 1695--1707 (2017; Zbl 1385.34025) Full Text: DOI
Chen, Hebai; Chen, Xingwu; Xie, Jianhua Global phase portrait of a degenerate Bogdanov-Takens system with symmetry. (English) Zbl 1366.34043 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1273-1293 (2017). MSC: 34C05 34C07 34C23 34C37 34A34 PDFBibTeX XMLCite \textit{H. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1273--1293 (2017; Zbl 1366.34043) Full Text: DOI
Wang, Ling-Jun Small-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticity. (English) Zbl 1356.35190 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 159-193 (2017). MSC: 35Q35 35J65 76B03 76B15 35B32 76B25 37C29 35C08 PDFBibTeX XMLCite \textit{L.-J. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 159--193 (2017; Zbl 1356.35190) Full Text: DOI
Tian, Yun; Han, Maoan Hopf and homoclinic bifurcations for near-Hamiltonian systems. (English) Zbl 1361.34037 J. Differ. Equations 262, No. 4, 3214-3234 (2017). Reviewer: Andrea Tellini (Madrid) MSC: 34C23 34C37 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{M. Han}, J. Differ. Equations 262, No. 4, 3214--3234 (2017; Zbl 1361.34037) Full Text: DOI
Zaghian, Ali; Kazemi, Rasool; Zangeneh, Hamid R. Z. Bifurcation of limit cycles in a class of Liénard systems with a cusp and nilpotent saddle. (English) Zbl 1513.34153 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 78, No. 3, 95-106 (2016). MSC: 34C23 34C07 34C08 34C37 34E10 34E05 34C05 37J40 PDFBibTeX XMLCite \textit{A. Zaghian} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 78, No. 3, 95--106 (2016; Zbl 1513.34153)
Sun, Xianbo; Zhao, Liqin Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points. (English) Zbl 1410.34099 Appl. Math. Comput. 289, 194-203 (2016). MSC: 34C07 34C08 34C37 PDFBibTeX XMLCite \textit{X. Sun} and \textit{L. Zhao}, Appl. Math. Comput. 289, 194--203 (2016; Zbl 1410.34099) Full Text: DOI
Ding, Wei; Zhou, Jun Bi-center and global phase portraits of the reduced Kukles system. (Chinese. English summary) Zbl 1374.34087 J. Sichuan Norm. Univ., Nat. Sci. 39, No. 4, 508-513 (2016). MSC: 34C05 34C07 34C37 PDFBibTeX XMLCite \textit{W. Ding} and \textit{J. Zhou}, J. Sichuan Norm. Univ., Nat. Sci. 39, No. 4, 508--513 (2016; Zbl 1374.34087) Full Text: DOI
Xing, Qin; Guo, Fei; Zhang, Xiaofei One generalized critical point theorem and its applications on super-quadratic Hamiltonian systems. (English) Zbl 1359.37126 Taiwanese J. Math. 20, No. 5, 1093-1116 (2016). MSC: 37J45 34A12 70H05 34C25 PDFBibTeX XMLCite \textit{Q. Xing} et al., Taiwanese J. Math. 20, No. 5, 1093--1116 (2016; Zbl 1359.37126) Full Text: DOI
Yang, Junmin; Zhou, Lina Limit cycle bifurcations in a kind of perturbed Liénard system. (English) Zbl 1349.37052 Nonlinear Dyn. 85, No. 3, 1695-1704 (2016). MSC: 37G15 37C29 34C07 34C37 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Zhou}, Nonlinear Dyn. 85, No. 3, 1695--1704 (2016; Zbl 1349.37052) Full Text: DOI
Schechter, Martin Homoclinic solutions of nonlinear second-order Hamiltonian systems. (English) Zbl 1378.37108 Ann. Mat. Pura Appl. (4) 195, No. 5, 1665-1683 (2016). Reviewer: Jörg Härterich (Bochum) MSC: 37J45 37C29 37C60 34C37 49J35 49K15 34L30 PDFBibTeX XMLCite \textit{M. Schechter}, Ann. Mat. Pura Appl. (4) 195, No. 5, 1665--1683 (2016; Zbl 1378.37108) Full Text: DOI Link
Bobieński, Marcin; Gavrilov, Lubomir Finite cyclicity of slow-fast Darboux systems with a two-saddle loop. (English) Zbl 1362.34048 Proc. Am. Math. Soc. 144, No. 10, 4205-4219 (2016). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C07 34C37 34C23 PDFBibTeX XMLCite \textit{M. Bobieński} and \textit{L. Gavrilov}, Proc. Am. Math. Soc. 144, No. 10, 4205--4219 (2016; Zbl 1362.34048) Full Text: DOI arXiv
Chen, Xingfan; Guo, Fei Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems. (English) Zbl 1342.34059 Bound. Value Probl. 2016, Paper No. 138, 10 p. (2016). MSC: 34C25 37J45 47E05 49J35 58E50 PDFBibTeX XMLCite \textit{X. Chen} and \textit{F. Guo}, Bound. Value Probl. 2016, Paper No. 138, 10 p. (2016; Zbl 1342.34059) Full Text: DOI
Chen, Hebai; Chen, Xingwu Dynamical analysis of a cubic Liénard system with global parameters. II. (English) Zbl 1345.34039 Nonlinearity 29, No. 6, 1798-1826 (2016). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C23 34C37 34C05 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Chen}, Nonlinearity 29, No. 6, 1798--1826 (2016; Zbl 1345.34039) Full Text: DOI
Rousseau, Christiane; Shan, Chunhua; Zhu, Huaiping Finite cyclicity of some graphics through a nilpotent point of saddle type inside quadratic systems. (English) Zbl 1345.34078 Qual. Theory Dyn. Syst. 15, No. 1, 237-256 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C37 34C07 34C05 PDFBibTeX XMLCite \textit{C. Rousseau} et al., Qual. Theory Dyn. Syst. 15, No. 1, 237--256 (2016; Zbl 1345.34078) Full Text: DOI arXiv
Gasser, Ingenuin; Szmolyan, Peter; Wächtler, Johannes Existence of Chapman-Jouguet detonation and deflagration waves. (English) Zbl 1343.35186 SIAM J. Math. Anal. 48, No. 2, 1400-1422 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q30 35C07 34C37 80A25 35B44 76N10 35B20 PDFBibTeX XMLCite \textit{I. Gasser} et al., SIAM J. Math. Anal. 48, No. 2, 1400--1422 (2016; Zbl 1343.35186) Full Text: DOI Link
Sun, Xianbo Multiple limit cycles of some strongly nonlinear Liénard-van der Pol oscillator. (English) Zbl 1410.34098 Appl. Math. Comput. 270, 620-630 (2015). MSC: 34C07 34C37 37G15 34C05 PDFBibTeX XMLCite \textit{X. Sun}, Appl. Math. Comput. 270, 620--630 (2015; Zbl 1410.34098) Full Text: DOI
Burkotová, Jana; Rohleder, Martin; Stryja, Jakub On the existence and properties of three types of solutions of singular IVPs. (English) Zbl 1349.34034 Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 29, 25 p. (2015). MSC: 34A12 34C37 34D05 34C10 PDFBibTeX XMLCite \textit{J. Burkotová} et al., Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 29, 25 p. (2015; Zbl 1349.34034) Full Text: DOI
Roussarie, Robert; Rousseau, Christiane Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. (English) Zbl 1334.34077 Trans. Mosc. Math. Soc. 2015, 181-218 (2015) and Tr. Mosk. Mat. O.-va 76, No. 2, 205-248 (2015). MSC: 34C07 37G15 34C37 34C23 34C05 PDFBibTeX XMLCite \textit{R. Roussarie} and \textit{C. Rousseau}, Trans. Mosc. Math. Soc. 2015, 181--218 (2015; Zbl 1334.34077) Full Text: DOI arXiv
Sun, Xian Bo; Han, Mao An On the number of limit cycles of a \(\mathbb{Z}_4\)-equivariant quintic near-Hamiltonian system. (English) Zbl 1351.34035 Acta Math. Sin., Engl. Ser. 31, No. 11, 1805-1824 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C07 34C05 34C23 34C37 34C14 PDFBibTeX XMLCite \textit{X. B. Sun} and \textit{M. A. Han}, Acta Math. Sin., Engl. Ser. 31, No. 11, 1805--1824 (2015; Zbl 1351.34035) Full Text: DOI
Chen, Hebai; Chen, Xingwu Dynamical analysis of a cubic Liénard system with global parameters. (English) Zbl 1334.34074 Nonlinearity 28, No. 10, 3535-3562 (2015). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C23 34C37 34C05 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Chen}, Nonlinearity 28, No. 10, 3535--3562 (2015; Zbl 1334.34074) Full Text: DOI
Luo, Xue; Shvydkoy, Roman 2D homogeneous solutions to the Euler equation. (English) Zbl 1329.35237 Commun. Partial Differ. Equations 40, No. 9, 1666-1687 (2015). MSC: 35Q31 76B03 37J45 35B65 35C06 PDFBibTeX XMLCite \textit{X. Luo} and \textit{R. Shvydkoy}, Commun. Partial Differ. Equations 40, No. 9, 1666--1687 (2015; Zbl 1329.35237) Full Text: DOI arXiv
Ma, Yunlei; Wu, Yuhai On the limit cycles of a perturbed \(Z_{3}\)-equivariant planar quintic vector field. (English) Zbl 1317.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550073, 20 p. (2015). MSC: 34C05 34E10 34C37 34C23 34C07 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{Y. Wu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550073, 20 p. (2015; Zbl 1317.34038) Full Text: DOI
An, Yulian; Han, Maoan On the number of limit cycles near a homoclinic loop with a nilpotent singular point. (English) Zbl 1332.34059 J. Differ. Equations 258, No. 9, 3194-3247 (2015). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C05 34C23 34C07 34C37 34C14 PDFBibTeX XMLCite \textit{Y. An} and \textit{M. Han}, J. Differ. Equations 258, No. 9, 3194--3247 (2015; Zbl 1332.34059) Full Text: DOI
Gavrilov, Lubomir; Iliev, Iliya D. Perturbations of quadratic Hamiltonian two-saddle cycles. (English) Zbl 1374.34131 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 307-324 (2015). MSC: 34C23 34C37 34C05 34C07 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{I. D. Iliev}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 307--324 (2015; Zbl 1374.34131) Full Text: DOI arXiv
García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector Bifurcation values for a family of planar vector fields of degree five. (English) Zbl 1319.34066 Discrete Contin. Dyn. Syst. 35, No. 2, 669-701 (2015). Reviewer: Antoni Ferragut (Castelló de la Plana) MSC: 34C23 34C07 34C37 34C05 13P15 PDFBibTeX XMLCite \textit{J. D. García-Saldaña} et al., Discrete Contin. Dyn. Syst. 35, No. 2, 669--701 (2015; Zbl 1319.34066) Full Text: DOI arXiv
Suo, Hongmin; Di, Lan; An, Yucheng; Chu, Changmu Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems. (English) Zbl 1333.37096 J. Inequal. Appl. 2014, Paper No. 411, 13 p. (2014). MSC: 37J45 34A12 37J05 46E35 70H05 34C25 PDFBibTeX XMLCite \textit{H. Suo} et al., J. Inequal. Appl. 2014, Paper No. 411, 13 p. (2014; Zbl 1333.37096) Full Text: DOI
Byeon, Jaeyoung; Rabinowitz, Paul H. Solutions of higher topological type for an Allen-Cahn model equation. (English) Zbl 1311.35080 J. Fixed Point Theory Appl. 15, No. 2, 379-404 (2014). MSC: 35J20 35K91 37C29 49J35 PDFBibTeX XMLCite \textit{J. Byeon} and \textit{P. H. Rabinowitz}, J. Fixed Point Theory Appl. 15, No. 2, 379--404 (2014; Zbl 1311.35080) Full Text: DOI