Chen, Fanfan; Qian, Dingbian An extension of the Poincaré-Birkhoff theorem for Hamiltonian systems coupling resonant linear components with twisting components. (English) Zbl 07500536 J. Differ. Equations 321, 415-448 (2022). MSC: 37J45 70H12 PDF BibTeX XML Cite \textit{F. Chen} and \textit{D. Qian}, J. Differ. Equations 321, 415--448 (2022; Zbl 07500536) Full Text: DOI OpenURL
Arsie, Alessandro; Kottegoda, Chanaka; Shan, Chunhua A predator-prey system with generalized Holling type IV functional response and Allee effects in prey. (English) Zbl 07450450 J. Differ. Equations 309, 704-740 (2022). MSC: 34C60 92D25 34C05 34C23 34D20 34C37 PDF BibTeX XML Cite \textit{A. Arsie} et al., J. Differ. Equations 309, 704--740 (2022; Zbl 07450450) Full Text: DOI OpenURL
Zhou, Hao; Tang, Biao; Zhu, Huaiping; Tang, Sanyi Bifurcation and dynamic analyses of non-monotonic predator-prey system with constant releasing rate of predators. (English) Zbl 1483.34072 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 10, 40 p. (2022). MSC: 34C60 92D25 34C05 34D20 34C23 34C37 34D05 PDF BibTeX XML Cite \textit{H. Zhou} et al., Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 10, 40 p. (2022; Zbl 1483.34072) Full Text: DOI OpenURL
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate. (English) Zbl 1482.34125 J. Dyn. Differ. Equations 33, No. 4, 1625-1661 (2021). MSC: 34C60 92D30 34C05 34D20 34D23 34C23 34C37 34D05 PDF BibTeX XML Cite \textit{M. Lu} et al., J. Dyn. Differ. Equations 33, No. 4, 1625--1661 (2021; Zbl 1482.34125) Full Text: DOI OpenURL
Wang, Lei; Li, Qingdu; Yang, Xiao-Song Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones. (English) Zbl 07424115 Appl. Math. Comput. 404, Article ID 126200, 21 p. (2021). MSC: 70Kxx 34Cxx 37Gxx PDF BibTeX XML Cite \textit{L. Wang} et al., Appl. Math. Comput. 404, Article ID 126200, 21 p. (2021; Zbl 07424115) Full Text: DOI OpenURL
Roĭtenberg, V. Sh. Bifurcations of a polycycle formed by two separatrix loops of a non-rough saddle of a dynamical system with central symmetry. (Russian. English summary) Zbl 1479.34072 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 13, No. 3, 39-46 (2021). MSC: 34C23 34C37 34C14 34C05 PDF BibTeX XML Cite \textit{V. Sh. Roĭtenberg}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 13, No. 3, 39--46 (2021; Zbl 1479.34072) Full Text: DOI MNR OpenURL
Xing, Tingli; Pusuluri, Krishna; Shilnikov, Andrey L. Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems. (English) Zbl 1481.37053 Chaos 31, No. 7, 073143, 28 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G20 37C29 37G05 37G10 37G40 PDF BibTeX XML Cite \textit{T. Xing} et al., Chaos 31, No. 7, 073143, 28 p. (2021; Zbl 1481.37053) Full Text: DOI arXiv OpenURL
Yang, Lei; Sun, Weigang; Turcotte, Marc Coexistence of Hopf-Born rotation and heteroclinic cycling in a time-delayed three-gene auto-regulated and mutually-repressed core genetic regulation network. (English) Zbl 1470.92211 J. Theor. Biol. 527, Article ID 110813, 27 p. (2021). MSC: 92D10 92C42 34K18 PDF BibTeX XML Cite \textit{L. Yang} et al., J. Theor. Biol. 527, Article ID 110813, 27 p. (2021; Zbl 1470.92211) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. Chen} et al., Nonlinearity 34, No. 6, 4332--4372 (2021; Zbl 1478.34033) Full Text: DOI OpenURL
Corbera, Montserrat; Valls, Claudia Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles. (English) Zbl 1470.34083 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3209-3233 (2021). MSC: 34C05 34C14 34C20 37J46 PDF BibTeX XML Cite \textit{M. Corbera} and \textit{C. Valls}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3209--3233 (2021; Zbl 1470.34083) Full Text: DOI OpenURL
Mulugeta, Biruk Tafesse; Yu, Liping; Ren, Jingli Bifurcation analysis of a one-prey and two-predators model with additional food and harvesting subject to toxicity. (English) Zbl 1469.34066 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150089, 28 p. (2021). MSC: 34C60 92D25 34C05 34D20 34C23 34C37 34C45 34C20 PDF BibTeX XML Cite \textit{B. T. Mulugeta} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150089, 28 p. (2021; Zbl 1469.34066) Full Text: DOI OpenURL
Pu, Jiao; Chen, Xiaofeng; Chen, Hebai; Xia, Yong-Hui Global analysis of an asymmetric continuous piecewise linear differential system with three linear zones. (English) Zbl 1480.34013 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150027, 41 p. (2021). MSC: 34A36 34C23 34C05 34C37 PDF BibTeX XML Cite \textit{J. Pu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150027, 41 p. (2021; Zbl 1480.34013) Full Text: DOI OpenURL
Gjata, Oltiana; Zanolin, Fabio Complicated dynamics in a model of charged particles. (English) Zbl 07312819 Rend. Ist. Mat. Univ. Trieste 52, 7-25 (2020). Reviewer: Ndolane Sene (Dakar) MSC: 34C28 34C60 34C15 34C37 37C60 37J40 PDF BibTeX XML Cite \textit{O. Gjata} and \textit{F. Zanolin}, Rend. Ist. Mat. Univ. Trieste 52, 7--25 (2020; Zbl 07312819) Full Text: DOI Link OpenURL
Corbera, Montserrat; Valls, Claudia Global phase portraits of \(\mathbb{Z}_2\)-symmetric planar polynomial Hamiltonian systems of degree three with a nilpotent saddle at the origin. (English) Zbl 1436.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050006, 33 p. (2020). MSC: 34C05 34C14 37J46 PDF BibTeX XML Cite \textit{M. Corbera} and \textit{C. Valls}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050006, 33 p. (2020; Zbl 1436.34025) Full Text: DOI OpenURL
Barge, Héctor; Sanjurjo, José M. R. Dissonant points and the region of influence of non-saddle sets. (English) Zbl 1439.37027 J. Differ. Equations 268, No. 9, 5329-5352 (2020). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37C70 37C20 37C15 37C75 37C29 37B30 PDF BibTeX XML Cite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, J. Differ. Equations 268, No. 9, 5329--5352 (2020; Zbl 1439.37027) Full Text: DOI arXiv OpenURL
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J. Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\). (English) Zbl 1458.76050 Commun. Nonlinear Sci. Numer. Simul. 77, 324-337 (2019). MSC: 34C23 37C29 PDF BibTeX XML Cite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 77, 324--337 (2019; Zbl 1458.76050) Full Text: DOI OpenURL
Zheng, Lingling; Chen, Xingfan Existence of periodic solutions for a class of second order Hamiltonian systems with perturbation. (Chinese. English summary) Zbl 1449.37044 J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 6, 468-472 (2019). MSC: 37J46 37J40 PDF BibTeX XML Cite \textit{L. Zheng} and \textit{X. Chen}, J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 6, 468--472 (2019; Zbl 1449.37044) Full Text: DOI OpenURL
Ceng, Yusong; Chang, Hejie Existence and multiplicity of periodic solutions for the non-autonomous second-order Hamiltonian systems. (English) Zbl 1449.37042 Chin. Q. J. Math. 34, No. 4, 382-396 (2019). MSC: 37J46 37J25 PDF BibTeX XML Cite \textit{Y. Ceng} and \textit{H. Chang}, Chin. Q. J. Math. 34, No. 4, 382--396 (2019; Zbl 1449.37042) Full Text: DOI OpenURL
Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N. Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). (English) Zbl 1472.34072 Mosc. Math. J. 19, No. 4, 709-737 (2019). MSC: 34C23 34C37 34D30 34C40 34C05 PDF BibTeX XML Cite \textit{N. Goncharuk} et al., Mosc. Math. J. 19, No. 4, 709--737 (2019; Zbl 1472.34072) Full Text: arXiv Link OpenURL
Ferchichi, Mohamed Réda; Yousfi, Abla On some attractors of a two-dimensional quadratic map. (English) Zbl 1428.34077 Int. J. Dyn. Syst. Differ. Equ. 9, No. 1, 87-103 (2019). MSC: 34D45 34C45 34C37 PDF BibTeX XML Cite \textit{M. R. Ferchichi} and \textit{A. Yousfi}, Int. J. Dyn. Syst. Differ. Equ. 9, No. 1, 87--103 (2019; Zbl 1428.34077) Full Text: DOI OpenURL
Liu, Xiao-Ming; Jiang, Jun; Hong, Ling; Tang, Dafeng Wada boundary bifurcations induced by boundary saddle-saddle collision. (English) Zbl 1428.37049 Phys. Lett., A 383, No. 2-3, 170-175 (2019). MSC: 37G20 PDF BibTeX XML Cite \textit{X.-M. Liu} et al., Phys. Lett., A 383, No. 2--3, 170--175 (2019; Zbl 1428.37049) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Bu, Yucheng Periodic perturbations of linear systems at resonance. (English) Zbl 1460.37062 Indian J. Pure Appl. Math. 50, No. 1, 225-238 (2019). MSC: 37J51 37J46 58E05 PDF BibTeX XML Cite \textit{Y. Bu}, Indian J. Pure Appl. Math. 50, No. 1, 225--238 (2019; Zbl 1460.37062) Full Text: DOI OpenURL
Cai, Liming; Huang, Jicai; Song, Xinyu; Zhang, Yuyue Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes. (English) Zbl 1427.34056 Discrete Contin. Dyn. Syst., Ser. B 24, No. 11, 6279-6295 (2019). MSC: 34C60 34C23 92D25 34C05 34C37 PDF BibTeX XML Cite \textit{L. Cai} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 11, 6279--6295 (2019; Zbl 1427.34056) Full Text: DOI OpenURL
De Paulo, Naiara V.; Salomão, Pedro A. S. On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in \(\mathbb {R}^4\). (English) Zbl 1446.37056 Trans. Am. Math. Soc. 372, No. 2, 859-887 (2019). Reviewer: Jörg Härterich (Bochum) MSC: 37J20 37J46 37J25 37J12 PDF BibTeX XML Cite \textit{N. V. De Paulo} and \textit{P. A. S. Salomão}, Trans. Am. Math. Soc. 372, No. 2, 859--887 (2019; Zbl 1446.37056) Full Text: DOI arXiv OpenURL
Yang, Junmin; Yu, Pei; Han, Maoan Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\). (English) Zbl 1406.34068 J. Differ. Equations 266, No. 1, 455-492 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 34C23 34C05 34C37 34E10 37J40 PDF BibTeX XML Cite \textit{J. Yang} et al., J. Differ. Equations 266, No. 1, 455--492 (2019; Zbl 1406.34068) Full Text: DOI OpenURL
Wang, Zhiyong; Zhang, Jihui New existence results on periodic solutions of non-autonomous second order Hamiltonian systems. (English) Zbl 1461.37067 Appl. Math. Lett. 79, 43-50 (2018). MSC: 37J46 37C60 34C25 70H12 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{J. Zhang}, Appl. Math. Lett. 79, 43--50 (2018; Zbl 1461.37067) Full Text: DOI OpenURL
Ilyashenko, Yu.; Solodovnikov, N. Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). (English) Zbl 1444.34061 Mosc. Math. J. 18, No. 1, 93-115 (2018). MSC: 34C23 34C40 34C37 PDF BibTeX XML Cite \textit{Yu. Ilyashenko} and \textit{N. Solodovnikov}, Mosc. Math. J. 18, No. 1, 93--115 (2018; Zbl 1444.34061) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{X. Chen} et al., Front. Math. China 13, No. 6, 1313--1323 (2018; Zbl 1408.37104) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. Tian}, J. Shanghai Norm. Univ., Nat. Sci. 47, No. 3, 338--348 (2018; Zbl 1424.34115) Full Text: DOI arXiv OpenURL
Xie, Lingli Study on the geometrical properties and existence of orbit homoclinic to a saddle point in \(n\)-dimensional autonomous vector field with polynomials. (English) Zbl 1414.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850169, 7 p. (2018). MSC: 34C37 34C05 34C45 PDF BibTeX XML Cite \textit{L. Xie}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850169, 7 p. (2018; Zbl 1414.34030) Full Text: DOI OpenURL
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. (English) Zbl 1408.37087 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784-2829 (2018). MSC: 37G20 37C29 37M20 34C45 34C23 37D45 PDF BibTeX XML Cite \textit{A. Giraldo} et al., SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784--2829 (2018; Zbl 1408.37087) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. Chen} et al., Nonlinear Dyn. 93, No. 4, 2283--2300 (2018; Zbl 1398.34047) Full Text: DOI OpenURL
Wang, Mingwei; Guo, Fei; Nie, Qianqian Existence of periodic solutions for second order Hamiltonian systems with mixed condition. (Chinese. English summary) Zbl 1413.37048 J. Sichuan Univ., Nat. Sci. Ed. 55, No. 2, 221-225 (2018). MSC: 37J45 70H12 PDF BibTeX XML Cite \textit{M. Wang} et al., J. Sichuan Univ., Nat. Sci. Ed. 55, No. 2, 221--225 (2018; Zbl 1413.37048) Full Text: DOI OpenURL
Hashimoto, Shinobu; Kiriki, Shin; Soma, Teruhiko Moduli of 3-dimensional diffeomorphisms with saddle-foci. (English) Zbl 1394.37033 Discrete Contin. Dyn. Syst. 38, No. 10, 5021-5037 (2018). MSC: 37C15 37C20 37C05 37C29 37D10 PDF BibTeX XML Cite \textit{S. Hashimoto} et al., Discrete Contin. Dyn. Syst. 38, No. 10, 5021--5037 (2018; Zbl 1394.37033) Full Text: DOI arXiv OpenURL
De Maesschalck, Peter; Naudot, Vincent; Wynen, Jeroen Normal linearization and transition map near a saddle connection with symmetric resonances. (English) Zbl 1379.34034 J. Differ. Equations 264, No. 2, 1442-1474 (2018). MSC: 34C20 34C14 34C37 PDF BibTeX XML Cite \textit{P. De Maesschalck} et al., J. Differ. Equations 264, No. 2, 1442--1474 (2018; Zbl 1379.34034) Full Text: DOI Link OpenURL
Deng, Haiyun; Zhang, Xingyong; Fang, Hui Existence of periodic solutions for a class of discrete systems with classical or bounded \((\phi_1,\phi_2)\)-Laplacian. (English) Zbl 1412.37061 J. Nonlinear Sci. Appl. 10, No. 2, 535-559 (2017). MSC: 37J45 58E50 34C25 PDF BibTeX XML Cite \textit{H. Deng} et al., J. Nonlinear Sci. Appl. 10, No. 2, 535--559 (2017; Zbl 1412.37061) Full Text: DOI OpenURL
Jin, Panpan; Wang, Zhiyong Existence of periodic solutions for fourth order discrete Hamiltonian systems. (Chinese. English summary) Zbl 1399.39020 J. Math., Wuhan Univ. 37, No. 3, 549-557 (2017). MSC: 39A23 39A12 37J45 PDF BibTeX XML Cite \textit{P. Jin} and \textit{Z. Wang}, J. Math., Wuhan Univ. 37, No. 3, 549--557 (2017; Zbl 1399.39020) Full Text: DOI OpenURL
Kozlov, A. D. Examples of strange attractors in the three-dimentional nonoriented maps. (Russian. English summary) Zbl 1413.37023 Zh. Sredn. Mat. Obshch. 19, No. 2, 62-75 (2017). Reviewer: Tatuana Badokina (Saransk) MSC: 37D45 37C29 37C70 PDF BibTeX XML Cite \textit{A. D. Kozlov}, Zh. Sredn. Mat. Obshch. 19, No. 2, 62--75 (2017; Zbl 1413.37023) OpenURL
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 PDF BibTeX XML Cite \textit{Q. Nie} et al., Chaos Solitons Fractals 104, 741--747 (2017; Zbl 1380.70040) Full Text: DOI OpenURL
Wan, Shuyuan; Wang, Zhiyong Existence of periodic solutions for a class of second-order Hamiltonian systems with \(p\)-Laplace. (Chinese. English summary) Zbl 1399.37040 J. Northeast Norm. Univ., Nat. Sci. Ed. 49, No. 1, 25-28 (2017). MSC: 37J45 37J25 PDF BibTeX XML Cite \textit{S. Wan} and \textit{Z. Wang}, J. Northeast Norm. Univ., Nat. Sci. Ed. 49, No. 1, 25--28 (2017; Zbl 1399.37040) Full Text: DOI OpenURL
Jiang, Qin; Ma, Shang; Hu, Zhihua Existence of periodic solutions for subquadratic discrete system involving the \(p\)-Laplacian. (English) Zbl 1386.39014 Electron. J. Differ. Equ. 2017, Paper No. 296, 8 p. (2017). MSC: 39A12 58E50 70H05 37J45 PDF BibTeX XML Cite \textit{Q. Jiang} et al., Electron. J. Differ. Equ. 2017, Paper No. 296, 8 p. (2017; Zbl 1386.39014) Full Text: Link OpenURL
Song, He; An, Tianqing Periodic solutions for a class of nonautonomous subquadratic second order Hamilonian system. (Chinese. English summary) Zbl 1399.37038 Math. Pract. Theory 47, No. 7, 279-284 (2017). MSC: 37J45 37J25 PDF BibTeX XML Cite \textit{H. Song} and \textit{T. An}, Math. Pract. Theory 47, No. 7, 279--284 (2017; Zbl 1399.37038) OpenURL
Ju, Jiamin; Wang, Zhiyong Periodic solutions for a class of second order Hamiltonian systems with locally asymptotically quadratic potential. (Chinese. English summary) Zbl 1389.34121 Math. Appl. 30, No. 1, 90-97 (2017). MSC: 34C25 58E50 37J45 PDF BibTeX XML Cite \textit{J. Ju} and \textit{Z. Wang}, Math. Appl. 30, No. 1, 90--97 (2017; Zbl 1389.34121) OpenURL
Wan, Shuyuan; Wang, Zhiyong Subharmonic solutions for a class of second-order Hamiltonian systems. (Chinese. English summary) Zbl 1389.37037 J. Sichuan Norm. Univ., Nat. Sci. 40, No. 2, 172-176 (2017). MSC: 37J45 34C25 31A05 PDF BibTeX XML Cite \textit{S. Wan} and \textit{Z. Wang}, J. Sichuan Norm. Univ., Nat. Sci. 40, No. 2, 172--176 (2017; Zbl 1389.37037) Full Text: DOI OpenURL
Liu, Chungen Relative index theories and applications. (English) Zbl 1379.58008 Topol. Methods Nonlinear Anal. 49, No. 2, 587-614 (2017). Reviewer: In-Sook Kim (Suwon) MSC: 58J20 58E05 37J05 37J45 37K05 PDF BibTeX XML Cite \textit{C. Liu}, Topol. Methods Nonlinear Anal. 49, No. 2, 587--614 (2017; Zbl 1379.58008) Full Text: DOI Euclid OpenURL
Fathi, K. Multiplicity of periodic solutions for a class of second order Hamiltonian systems. (English) Zbl 1377.37082 Nonlinear Dyn. Syst. Theory 17, No. 2, 158-174 (2017). MSC: 37J25 37J45 49K35 PDF BibTeX XML Cite \textit{K. Fathi}, Nonlinear Dyn. Syst. Theory 17, No. 2, 158--174 (2017; Zbl 1377.37082) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Li, Dongchen Homoclinic bifurcations that give rise to heterodimensional cycles near a saddle-focus equilibrium. (English) Zbl 1381.37061 Nonlinearity 30, No. 1, 173-206 (2017). Reviewer: Alessandro Calamai (Ancona) MSC: 37G20 37G25 PDF BibTeX XML Cite \textit{D. Li}, Nonlinearity 30, No. 1, 173--206 (2017; Zbl 1381.37061) Full Text: DOI arXiv OpenURL
Wang, Yuanshi; Wu, Hong; Liang, Junhao Dynamics of a lattice gas system of three species. (English) Zbl 07249749 Commun. Nonlinear Sci. Numer. Simul. 39, 38-57 (2016). MSC: 37-XX 34-XX PDF BibTeX XML Cite \textit{Y. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 38--57 (2016; Zbl 07249749) Full Text: DOI OpenURL
Guan, Wen; Yang, Kuo Existence of periodic solutions for a class of second order discrete Hamiltonian systems. (English) Zbl 1419.37061 Adv. Difference Equ. 2016, Paper No. 68, 17 p. (2016). MSC: 37J45 39A23 PDF BibTeX XML Cite \textit{W. Guan} and \textit{K. Yang}, Adv. Difference Equ. 2016, Paper No. 68, 17 p. (2016; Zbl 1419.37061) Full Text: DOI OpenURL
Han, Ning; Cao, Qingjie Multiple bifurcations of a cylindrical dynamical system. (English) Zbl 1401.34046 J. Theor. Appl. Mech., Sofia 46, No. 1, 33-52 (2016). MSC: 34C23 34C37 PDF BibTeX XML Cite \textit{N. Han} and \textit{Q. Cao}, J. Theor. Appl. Mech., Sofia 46, No. 1, 33--52 (2016; Zbl 1401.34046) Full Text: DOI OpenURL
Pasca, Daniel; Wang, Zhiyong On periodic solutions of nonautonomous second order Hamiltonian systems with \((q,p)\)-Laplacian. (English) Zbl 1399.37036 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 106, 9 p. (2016). MSC: 37J45 58E50 37C60 PDF BibTeX XML Cite \textit{D. Pasca} and \textit{Z. Wang}, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 106, 9 p. (2016; Zbl 1399.37036) Full Text: DOI OpenURL
Wan, Shuyuan; Wang, Zhiyong Existence of periodic solutions for a class of Hamiltonian systems with \(p\)-Laplace. (Chinese. English summary) Zbl 1399.37039 J. Shandong Univ., Nat. Sci. 51, No. 12, 42-46, 60 (2016). MSC: 37J45 37J25 PDF BibTeX XML Cite \textit{S. Wan} and \textit{Z. Wang}, J. Shandong Univ., Nat. Sci. 51, No. 12, 42--46, 60 (2016; Zbl 1399.37039) Full Text: DOI OpenURL
Teyssier, Loïc Coalescing complex planar stationary points. (English) Zbl 1365.34073 Toni, Bourama (ed.), Mathematical sciences with multidisciplinary applications. In honor of Professor Christiane Rousseau, and in recognition of the Mathematics for Planet Earth initiative. Cham: Springer (ISBN 978-3-319-31321-4/hbk; 978-3-319-31323-8/ebook). Springer Proceedings in Mathematics & Statistics 157, 497-593 (2016). MSC: 34C23 34C37 37E35 34M35 PDF BibTeX XML Cite \textit{L. Teyssier}, Springer Proc. Math. Stat. 157, 497--593 (2016; Zbl 1365.34073) Full Text: DOI HAL OpenURL
Jin, Panpan; Wang, Zhiyong Existence of periodic solutions for a class of second-order discrete Hamiltonian systems. (Chinese. English summary) Zbl 1363.37025 J. Yangzhou Univ., Nat. Sci. Ed. 19, No. 1, 13-17 (2016). MSC: 37J45 39A23 PDF BibTeX XML Cite \textit{P. Jin} and \textit{Z. Wang}, J. Yangzhou Univ., Nat. Sci. Ed. 19, No. 1, 13--17 (2016; Zbl 1363.37025) OpenURL
Roy, Tanushree; Choudhury, Roy; Tanriver, Ugur Analytical prediction of homoclinic bifurcations following a supercritical Hopf bifurcation. (English) Zbl 1349.70046 Discontin. Nonlinearity Complex. 5, No. 3, 209-222 (2016). MSC: 70K44 37G15 70K50 PDF BibTeX XML Cite \textit{T. Roy} et al., Discontin. Nonlinearity Complex. 5, No. 3, 209--222 (2016; Zbl 1349.70046) Full Text: DOI OpenURL
Leonov, G. A. Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations. (English) Zbl 1354.37033 Nonlinear Dyn. 84, No. 2, 1055-1062 (2016). MSC: 37C29 34C37 37D45 37G10 PDF BibTeX XML Cite \textit{G. A. Leonov}, Nonlinear Dyn. 84, No. 2, 1055--1062 (2016; Zbl 1354.37033) Full Text: DOI OpenURL
Yan, Huahui; Du, Zhuoran Existence of saddle solutions of a nonlinear elliptic equation involving \(p\)-Laplacian in more even-dimensional spaces. (English) Zbl 1353.35163 Front. Math. China 11, No. 6, 1613-1623 (2016). MSC: 35J60 35J70 34C37 PDF BibTeX XML Cite \textit{H. Yan} and \textit{Z. Du}, Front. Math. China 11, No. 6, 1613--1623 (2016; Zbl 1353.35163) Full Text: DOI OpenURL
Ma, Sheng; Jiang, Qin Subharmonic solutions for a class of first-order Hamiltonian systems. (Chinese. English summary) Zbl 1363.37026 Math. Pract. Theory 46, No. 2, 256-261 (2016). MSC: 37J45 PDF BibTeX XML Cite \textit{S. Ma} and \textit{Q. Jiang}, Math. Pract. Theory 46, No. 2, 256--261 (2016; Zbl 1363.37026) OpenURL
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 PDF BibTeX XML Cite \textit{C. Rousseau} et al., Qual. Theory Dyn. Syst. 15, No. 1, 237--256 (2016; Zbl 1345.34078) Full Text: DOI arXiv OpenURL
Alessio, Francesca; Gui, Changfeng; Montecchiari, Piero Saddle solutions to Allen-Cahn equations in doubly periodic media. (English) Zbl 1380.35099 Indiana Univ. Math. J. 65, No. 1, 199-221 (2016). Reviewer: Petr Tomiczek (Plzeň) MSC: 35J61 35J20 PDF BibTeX XML Cite \textit{F. Alessio} et al., Indiana Univ. Math. J. 65, No. 1, 199--221 (2016; Zbl 1380.35099) Full Text: DOI Link OpenURL
Belozyorov, Vasiliy Ye. Invariant approach to existence problem of chaos in 3D autonomous quadratic dynamical systems. (English) Zbl 1334.34093 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650012, 14 p. (2016). MSC: 34C28 34C37 34C05 34C14 PDF BibTeX XML Cite \textit{V. Ye. Belozyorov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650012, 14 p. (2016; Zbl 1334.34093) Full Text: DOI OpenURL
Wynen, Jeroen Normal forms near a symmetric planar saddle connection. (English) Zbl 1342.34057 J. Differ. Equations 260, No. 10, 7606-7633 (2016). Reviewer: Jinzhi Lei (Beijing) MSC: 34C20 37G05 37C10 34C37 PDF BibTeX XML Cite \textit{J. Wynen}, J. Differ. Equations 260, No. 10, 7606--7633 (2016; Zbl 1342.34057) Full Text: DOI OpenURL
Wilczak, Daniel; Serrano, Sergio; Barrio, Roberto Coexistence and dynamical connections between hyperchaos and chaos in the 4D Rössler system: a computer-assisted proof. (English) Zbl 1359.37144 SIAM J. Appl. Dyn. Syst. 15, No. 1, 356-390 (2016). MSC: 37M25 37C29 37C70 37B10 65P20 PDF BibTeX XML Cite \textit{D. Wilczak} et al., SIAM J. Appl. Dyn. Syst. 15, No. 1, 356--390 (2016; Zbl 1359.37144) Full Text: DOI OpenURL
Alessio, Francesca; Autuori, Giuseppina; Montecchiari, Piero Saddle type solutions for a class of reversible elliptic equations. (English) Zbl 1335.35064 Adv. Differ. Equ. 21, No. 1-2, 1-30 (2016). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35J61 35B05 35B40 35J20 34C37 PDF BibTeX XML Cite \textit{F. Alessio} et al., Adv. Differ. Equ. 21, No. 1--2, 1--30 (2016; Zbl 1335.35064) Full Text: Euclid OpenURL
Wu, Dong-Lun; Li, Chun; Yuan, Pengfei Periodic solutions for a class of second-order Hamiltonian systems of prescribed energy. (English) Zbl 1363.37027 Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 77, 10 p. (2015). MSC: 37J45 34C25 PDF BibTeX XML Cite \textit{D.-L. Wu} et al., Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 77, 10 p. (2015; Zbl 1363.37027) Full Text: DOI OpenURL
Rodrigues, Alexandre A. P. Moduli for heteroclinic connections involving saddle-foci and periodic solutions. (English) Zbl 1366.37052 Discrete Contin. Dyn. Syst. 35, No. 7, 3155-3182 (2015). MSC: 37C29 37C15 37C20 37C27 37C10 37C70 PDF BibTeX XML Cite \textit{A. A. P. Rodrigues}, Discrete Contin. Dyn. Syst. 35, No. 7, 3155--3182 (2015; Zbl 1366.37052) Full Text: DOI OpenURL
Ju, Jiamin; Wang, Zhiyong Periodic solutions of a class of subquadratic second order Hamiltonian systems with damped vibration. (Chinese. English summary) Zbl 1340.34144 J. Sichuan Norm. Univ., Nat. Sci. 38, No. 3, 329-332 (2015). MSC: 34C25 58E50 37J45 PDF BibTeX XML Cite \textit{J. Ju} and \textit{Z. Wang}, J. Sichuan Norm. Univ., Nat. Sci. 38, No. 3, 329--332 (2015; Zbl 1340.34144) Full Text: DOI OpenURL
Chen, Shuang; Du, Zhengdong Stability and perturbations of homoclinic loops in a class of piecewise smooth systems. (English) Zbl 1325.34018 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 9, Article ID 1550114, 16 p. (2015). MSC: 34A36 34C37 34D20 34C23 34C05 PDF BibTeX XML Cite \textit{S. Chen} and \textit{Z. Du}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 9, Article ID 1550114, 16 p. (2015; Zbl 1325.34018) OpenURL
Aguirre, Pablo Bifurcations of two-dimensional global invariant manifolds near a noncentral saddle-node homoclinic orbit. (English) Zbl 1358.37089 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1600-1643 (2015). MSC: 37G20 37C29 37D10 37C10 37M20 PDF BibTeX XML Cite \textit{P. Aguirre}, SIAM J. Appl. Dyn. Syst. 14, No. 3, 1600--1643 (2015; Zbl 1358.37089) Full Text: DOI OpenURL
Li, S. B.; Shen, C.; Zhang, W.; Hao, Y. X. Homoclinic bifurcations and chaotic dynamics for a piecewise linear system under a periodic excitation and a viscous damping. (English) Zbl 1331.37029 Nonlinear Dyn. 79, No. 4, 2395-2406 (2015). MSC: 37C29 37D45 93B52 37J45 PDF BibTeX XML Cite \textit{S. B. Li} et al., Nonlinear Dyn. 79, No. 4, 2395--2406 (2015; Zbl 1331.37029) Full Text: DOI OpenURL
Timoumi, Mohsen Existence of periodic solutions for sub-linear first-order Hamiltonian systems. (English) Zbl 1353.34049 Electron. J. Differ. Equ. 2015, Paper No. 134, 15 p. (2015). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 34C25 58E50 37J45 PDF BibTeX XML Cite \textit{M. Timoumi}, Electron. J. Differ. Equ. 2015, Paper No. 134, 15 p. (2015; Zbl 1353.34049) Full Text: EMIS OpenURL
Kristiansen, K. Uldall Computation of saddle-type slow manifolds using iterative methods. (English) Zbl 1323.34025 SIAM J. Appl. Dyn. Syst. 14, No. 2, 1189-1227 (2015). MSC: 34A45 34E15 34E13 37M99 34C45 34C37 92C20 PDF BibTeX XML Cite \textit{K. U. Kristiansen}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 1189--1227 (2015; Zbl 1323.34025) Full Text: DOI arXiv Link OpenURL
Belozyorov, Vasiliy Ye. Exponential-algebraic maps and chaos in 3D autonomous quadratic systems. (English) Zbl 1314.34091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550048, 24 p. (2015). MSC: 34C28 34A34 37E05 37D45 34C05 34C37 PDF BibTeX XML Cite \textit{V. Ye. Belozyorov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550048, 24 p. (2015; Zbl 1314.34091) Full Text: DOI OpenURL
Mohapatra, Anushaya; Ott, William Homoclinic loops, heteroclinic cycles, and rank one dynamics. (English) Zbl 1376.37058 SIAM J. Appl. Dyn. Syst. 14, No. 1, 107-131 (2015). MSC: 37C29 37C40 37D25 37D45 37G20 37G35 PDF BibTeX XML Cite \textit{A. Mohapatra} and \textit{W. Ott}, SIAM J. Appl. Dyn. Syst. 14, No. 1, 107--131 (2015; Zbl 1376.37058) Full Text: DOI Link OpenURL
Ning, Yan; An, Tianqing Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials. (English) Zbl 1319.34069 Bound. Value Probl. 2015, Paper No. 34, 12 p. (2015). MSC: 34C25 37J45 34A36 58E50 PDF BibTeX XML Cite \textit{Y. Ning} and \textit{T. An}, Bound. Value Probl. 2015, Paper No. 34, 12 p. (2015; Zbl 1319.34069) Full Text: DOI OpenURL
Yuan, Rui; Jiang, Weihua; Wang, Yong Saddle-node-Hopf bifurcation in a modified Leslie-Gower predator-prey model with time-delay and prey harvesting. (English) Zbl 1306.34132 J. Math. Anal. Appl. 422, No. 2, 1072-1090 (2015). MSC: 34K60 34K18 34K17 34K20 34K19 92D25 34K21 34K13 PDF BibTeX XML Cite \textit{R. Yuan} et al., J. Math. Anal. Appl. 422, No. 2, 1072--1090 (2015; Zbl 1306.34132) Full Text: DOI OpenURL
Xie, Lingli A note on the coexistence of homoclinic orbit and saddle focus point for some typical chaotic systems. (English) Zbl 1371.37034 Dyn. Syst. Appl. 23, No. 2-3, 305-316 (2014). MSC: 37C29 34C37 PDF BibTeX XML Cite \textit{L. Xie}, Dyn. Syst. Appl. 23, No. 2--3, 305--316 (2014; Zbl 1371.37034) OpenURL
Xie, Lingli A discussion on the coexistence of heteroclinic orbit and saddle foci for third-order systems. (English) Zbl 1317.34095 J. Math. Anal. Appl. 412, No. 2, 878-894 (2014). MSC: 34C37 34C05 34C28 PDF BibTeX XML Cite \textit{L. Xie}, J. Math. Anal. Appl. 412, No. 2, 878--894 (2014; Zbl 1317.34095) Full Text: DOI OpenURL
Gonchenko, Serey V.; Gordeeva, Olga V.; Lukyanov, Valery I.; Ovsyannikov, Ivan I. On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node. (English) Zbl 1337.37018 Regul. Chaotic Dyn. 19, No. 4, 461-473 (2014). Reviewer: Carlo Laing (Auckland) MSC: 37C05 34C37 37C29 37G25 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 19, No. 4, 461--473 (2014; Zbl 1337.37018) Full Text: DOI arXiv OpenURL
Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V. Scientific heritage of L. P. Shilnikov. (English) Zbl 1353.37001 Regul. Chaotic Dyn. 19, No. 4, 435-460 (2014). Reviewer: Svitlana P. Rogovchenko (Kristiansand) MSC: 37-02 37C29 37D45 01A65 37G15 PDF BibTeX XML Cite \textit{V. S. Afraimovich} et al., Regul. Chaotic Dyn. 19, No. 4, 435--460 (2014; Zbl 1353.37001) Full Text: DOI OpenURL
Shang, Desheng; Zhang, Yaoming Bifurcations in a cubic system with a degenerate saddle point. (English) Zbl 1304.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 11, Article ID 1450144, 13 p. (2014). MSC: 34A34 34C05 34C23 34C37 34E10 PDF BibTeX XML Cite \textit{D. Shang} and \textit{Y. Zhang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 11, Article ID 1450144, 13 p. (2014; Zbl 1304.34025) Full Text: DOI OpenURL
He, Song; Tianqing, An Periodic solutions for a class of nonautonomous subquadratic second-order Hamiltonian system. (English) Zbl 1306.37064 J. Appl. Math. Bioinform. 4, No. 2, 147-162 (2014). MSC: 37J45 37C60 PDF BibTeX XML Cite \textit{S. He} and \textit{A. Tianqing}, J. Appl. Math. Bioinform. 4, No. 2, 147--162 (2014; Zbl 1306.37064) OpenURL
Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. Novel solutions for a model of wound healing angiogenesis. (English) Zbl 1310.34079 Nonlinearity 27, No. 12, 2975-3003 (2014). MSC: 34E15 34C37 34E17 35C07 37C29 92C17 92C50 35K57 PDF BibTeX XML Cite \textit{K. Harley} et al., Nonlinearity 27, No. 12, 2975--3003 (2014; Zbl 1310.34079) Full Text: DOI arXiv OpenURL
Xing, Tingli; Barrio, Roberto; Shilnikov, Andrey Symbolic quest into homoclinic chaos. (English) Zbl 1300.34101 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440004, 20 p. (2014). MSC: 34C37 34C28 34C20 34A34 34C23 34D45 37B10 37D45 PDF BibTeX XML Cite \textit{T. Xing} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440004, 20 p. (2014; Zbl 1300.34101) Full Text: DOI OpenURL
Yan, Sheng-Hua; Wu, Xing-Ping; Tang, Chun-Lei Multiple periodic solutions for second-order discrete Hamiltonian systems. (English) Zbl 1303.39009 Appl. Math. Comput. 234, 142-149 (2014). MSC: 39A23 39A12 39A10 37J45 PDF BibTeX XML Cite \textit{S.-H. Yan} et al., Appl. Math. Comput. 234, 142--149 (2014; Zbl 1303.39009) Full Text: DOI OpenURL
Yan, Huahui; Du, Zhuoran Maximal saddle solution of a nonlinear elliptic equation involving the \(p\)-Laplacian. (English) Zbl 1291.35071 Proc. Indian Acad. Sci., Math. Sci. 124, No. 1, 57-65 (2014). MSC: 35J60 35J70 34C37 PDF BibTeX XML Cite \textit{H. Yan} and \textit{Z. Du}, Proc. Indian Acad. Sci., Math. Sci. 124, No. 1, 57--65 (2014; Zbl 1291.35071) Full Text: DOI OpenURL
Sun, Xianbo; Xi, Hongjian; Zangeneh, Hamid R. Z.; Kazemi, Rasool Bifurcation of limit cycles in small perturbation of a class of Liénard systems. (English) Zbl 1284.34052 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 1, Article ID 1450004, 23 p. (2014). MSC: 34C23 34C05 34C37 37G20 34C07 PDF BibTeX XML Cite \textit{X. Sun} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 1, Article ID 1450004, 23 p. (2014; Zbl 1284.34052) Full Text: DOI OpenURL
Zhao, Liqin The perturbations of a class of hyper-elliptic Hamilton systems with a double homoclinic loop through a nilpotent saddle. (English) Zbl 1288.34050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 374-387 (2014). Reviewer: Valery A. Gaiko (Minsk) MSC: 34E10 34C08 34C05 34C07 34C37 37J45 37J40 PDF BibTeX XML Cite \textit{L. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 374--387 (2014; Zbl 1288.34050) Full Text: DOI OpenURL
Gavrilov, Lubomir On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields. (English. Russian original) Zbl 1310.34043 Funct. Anal. Appl. 47, No. 3, 174-186 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 12-27 (2013). MSC: 34C07 34C37 34C05 34C23 PDF BibTeX XML Cite \textit{L. Gavrilov}, Funct. Anal. Appl. 47, No. 3, 174--186 (2013; Zbl 1310.34043); translation from Funkts. Anal. Prilozh. 47, No. 3, 12--27 (2013) Full Text: DOI arXiv OpenURL
Suo, Hongmin; An, Yucheng Existence of solutions for some nonautonomous second-order Hamiltonian systems. (Chinese. English summary) Zbl 1313.37060 J. Syst. Sci. Math. Sci. 33, No. 11, 1363-1369 (2013). MSC: 37J45 PDF BibTeX XML Cite \textit{H. Suo} and \textit{Y. An}, J. Syst. Sci. Math. Sci. 33, No. 11, 1363--1369 (2013; Zbl 1313.37060) OpenURL
Timoumi, Mohsen Subharmonic solutions for first-order Hamiltonian systems. (English) Zbl 1292.34038 Electron. J. Differ. Equ. 2013, Paper No. 197, 14 p. (2013). MSC: 34C25 37J45 58E05 58E50 PDF BibTeX XML Cite \textit{M. Timoumi}, Electron. J. Differ. Equ. 2013, Paper No. 197, 14 p. (2013; Zbl 1292.34038) Full Text: EMIS OpenURL
Gonchenko, S. V.; Ovsyannikov, I. I. On global bifurcations of three-dimensional diffeomorphisms leading to Lorenz-like attractors. (English) Zbl 1331.37066 Math. Model. Nat. Phenom. 8, No. 5, 71-83 (2013). MSC: 37G25 37C05 37C29 37G35 37D45 PDF BibTeX XML Cite \textit{S. V. Gonchenko} and \textit{I. I. Ovsyannikov}, Math. Model. Nat. Phenom. 8, No. 5, 71--83 (2013; Zbl 1331.37066) Full Text: DOI OpenURL
Sun, Xianbo Bifurcation of limit cycles from a Liénard system with a heteroclinic loop connecting two nilpotent saddles. (English) Zbl 1281.34057 Nonlinear Dyn. 73, No. 1-2, 869-880 (2013). MSC: 34C23 34C37 34C05 PDF BibTeX XML Cite \textit{X. Sun}, Nonlinear Dyn. 73, No. 1--2, 869--880 (2013; Zbl 1281.34057) Full Text: DOI OpenURL
Yang, Xiaoxia; Chen, Haibo Existence of periodic solutions for sublinear second order dynamical system with \((q,p)\)-Laplacian. (English) Zbl 1340.34148 Math. Slovaca 63, No. 4, 799-816 (2013). Reviewer: Chun-Lei Tang (Chongqing) MSC: 34C25 37J45 58E50 PDF BibTeX XML Cite \textit{X. Yang} and \textit{H. Chen}, Math. Slovaca 63, No. 4, 799--816 (2013; Zbl 1340.34148) Full Text: DOI OpenURL
Xie, Lingli A note on the properties and existence of homoclinic orbit to saddle focus point for third-order systems. (English) Zbl 1272.34056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350111, 7 p. (2013). MSC: 34C37 34C05 PDF BibTeX XML Cite \textit{L. Xie}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350111, 7 p. (2013; Zbl 1272.34056) Full Text: DOI OpenURL
Saadatpour, Assieh; Levi, Mark Traveling waves in chains of pendula. (English) Zbl 1282.70045 Physica D 244, No. 1, 68-73 (2013). MSC: 70K44 35C07 35L71 PDF BibTeX XML Cite \textit{A. Saadatpour} and \textit{M. Levi}, Physica D 244, No. 1, 68--73 (2013; Zbl 1282.70045) Full Text: DOI OpenURL
Franca, Matteo Bifurcation diagrams for singularly perturbed system. (English) Zbl 1340.34199 Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 78, 23 p. (2012). MSC: 34E15 34C23 34C45 34C37 37G10 PDF BibTeX XML Cite \textit{M. Franca}, Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 78, 23 p. (2012; Zbl 1340.34199) Full Text: DOI OpenURL
Etoua, Remy Magloire A study of standard families of unfoldings of nilpotent saddles of codimension 2 and 3 whose \(x\)-axis is invariant. (Étude des familles standard de déploiements du col nilpotent de codimensions 2 et 3 dont l’axe des abscisses est invariant.) (French. English summary) Zbl 1305.37024 Ann. Sci. Math. Qué. 36, No. 2, 381-412 (2012). Reviewer: Vladimir P. Kostov (Nice) MSC: 37G15 37G10 PDF BibTeX XML Cite \textit{R. M. Etoua}, Ann. Sci. Math. Qué. 36, No. 2, 381--412 (2012; Zbl 1305.37024) OpenURL