de Carvalho Braga, Denis; Dias, Fabio Scalco; Llibre, Jaume; Mello, Luis Fernando The matching of two Markus-Yamabe piecewise smooth systems in the plane. (English) Zbl 07979618 Nonlinear Anal., Real World Appl. 82, Article ID 104254, 6 p. (2025). MSC: 34D23 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Bandara, Ravindra I.; Giraldo, Andrus; Broderick, Neil G. R.; Krauskopf, Bernd Bifurcations of periodic orbits in the generalised nonlinear Schrödinger equation. (English) Zbl 07978279 J. Comput. Dyn. 12, No. 2, 178-211 (2025). MSC: 37J46 37G15 37G40 37M20 37N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hebai; Li, Zhijie; Zhang, Rui Establishing definitive conditions for global centers in generalized polynomial Liénard systems. (English) Zbl 07978258 Discrete Contin. Dyn. Syst., Ser. B 30, No. 4, 1314-1340 (2025). MSC: 34C05 37D05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuai; Li, Yong; Yang, Xue Hopf bifurcation theorem of rotating periodic solutions in a class of anti-synchronous systems. (English) Zbl 07978207 Discrete Contin. Dyn. Syst. 45, No. 4, 1150-1179 (2025). MSC: 34C25 34C23 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Berrehail, Chems Eddine; Makhlouf, Amar Periodic solutions for a class of perturbed sixth-order autonomous differential equations. (English) Zbl 07977999 Arab J. Math. Sci. 31, No. 1, 22-32 (2025). MSC: 34C25 34C29 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Lundström, Niklas L. P.; Söderbacka, Gunnar J. Estimates of size of cycle in a predator-prey system. II. (English) Zbl 07977090 Adv. Differ. Equ. 30, No. 3-4, 207-236 (2025). MSC: 34D23 34C05 37N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Hongwei; Liu, Changjian; Xiong, Yanqin Study on limit cycles near homoclinic loops and heteroclinic loops with hyperbolic saddles. (English) Zbl 07975155 J. Differ. Equations 421, 50-72 (2025). MSC: 34C07 37C29 37G15 37M20 × Cite Format Result Cite Review PDF Full Text: DOI
Gasull, Armengol; Santana, Paulo A note on Hilbert 16th problem. (English) Zbl 07972329 Proc. Am. Math. Soc. 153, No. 2, 669-677 (2025). MSC: 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rabia, Afef Amina; Makhlouf, Amar Periodic solutions for a class of Duffing differential equations via averaging theory. (English) Zbl 07971675 Differ. Equ. Dyn. Syst. 33, No. 1, 213-226 (2025). MSC: 37G15 37C79 37C30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Ting; Llibre, Jaume Topological classification of some SD Hamiltonian systems. (English) Zbl 07971671 Differ. Equ. Dyn. Syst. 33, No. 1, 97-121 (2025). MSC: 34C07 34C08 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Luping; Tian, Yuzhou; Zhao, Yulin Algebraic limit cycle of degree 2 for linear type center plus cubic homogeneous polynomial differential systems. (English) Zbl 07971665 J. Dyn. Control Syst. 31, No. 1, Paper No. 1, 34 p. (2025). MSC: 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Torregrosa, Joan Cubic planar vector fields with high local cyclicity. (English) Zbl 07971647 São Paulo J. Math. Sci. 19, No. 1, Paper No. 4, 16 p. (2025). MSC: 34C07 34C23 37C27 × Cite Format Result Cite Review PDF Full Text: DOI
Novaes, Douglas Duarte; Silva, Leandro A. Unveiling the cyclicity of monodromic tangential singularities: insights beyond the pseudo-Hopf bifurcation. (English) Zbl 07971545 SIAM J. Appl. Dyn. Syst. 24, No. 1, 165-186 (2025). MSC: 34C23 34A36 37G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Álvarez, M. J.; Coll, B.; Gasull, A.; Prohens, R. More limit cycles for complex differential equations with three monomials. (English) Zbl 07971461 J. Differ. Equations 416, Part 2, 1071-1098 (2025). MSC: 34C07 34C25 37C27 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Li; Du, Zhengdong The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines. (English) Zbl 07968324 J. Differ. Equations 418, 496-535 (2025). MSC: 34C07 34C23 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Vághy, Mihály A.; Szederkényi, Gábor Asymptotic stability of delayed complex balanced reaction networks with non-mass action kinetics. (English) Zbl 07961013 J. Nonlinear Sci. 35, No. 1, Paper No. 20, 26 p. (2025). MSC: 34D20 34C05 34K20 34K21 92C45 80A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xue; Wu, Yusen; Li, Feng Centers and limit cycle bifurcations in a family of piecewise smooth septic \(Z_2\)-equivariant systems. (English) Zbl 07960329 J. Appl. Anal. Comput. 15, No. 2, 876-895 (2025). MSC: 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaoliang; Li, Bo; Eskandari, Zohreh Impact of information advantage on dynamics of duopolistic competition under nonlinear demand. (English) Zbl 07954708 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108390, 23 p. (2025). MSC: 91B54 91A80 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Santana, Paulo Limit cycles and chaos in planar hybrid systems. (English) Zbl 07954700 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108382, 13 p. (2025). MSC: 34A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Jiawen; Hu, Dongpo; Upadhyay, Ranjit Kumar; Zheng, Zhaowen; Zhu, Ningning; Liu, Ming Canard cycle, relaxation oscillation and cross-diffusion induced pattern formation in a slow-fast ecological system with weak Allee effect. (English) Zbl 07954678 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108360, 34 p. (2025). MSC: 34C60 92D25 34E15 34E17 34C26 34C05 34D20 34C23 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Cortés-García, Christian Population dynamics in a Leslie-Gower predator-prey model with proportional prey refuge at low densities. (English) Zbl 07954265 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128993, 30 p. (2025). MSC: 34C60 92D25 34A36 34C05 34D20 34E17 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jibin; Dai, Yanfei Bifurcations and exact traveling wave solutions for the model of slightly dispersive quasi-incompressible hyperelastic materials. (English) Zbl 07950016 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 10, 22 p. (2025). MSC: 34C05 34C23 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hebai; Feng, Zhaosheng; Zhang, Rui Global phase portraits of separable polynomial rigid systems with a center. (English) Zbl 07948921 J. Nonlinear Sci. 35, No. 1, Paper No. 6, 49 p. (2025). MSC: 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qi Global dynamics of a Lotka-Volterra competition system in an advective patchy environment. (English) Zbl 07948475 Discrete Contin. Dyn. Syst., Ser. B 30, No. 2, 604-628 (2025). MSC: 34C60 34C05 34D05 34D20 34D23 92D25 92D40 × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Shiyou; Zhang, Yongkang; Li, Baoyi Proof of two conjectures for perturbed piecewise linear Hamiltonian systems. (English) Zbl 07947260 Nonlinear Anal., Real World Appl. 81, Article ID 104195, 10 p. (2025). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 34C07 34A36 34C23 34C37 34E10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Cortés-García, Christian Stability analysis of a Filippov Gause predator-prey model with or without hunting cooperation among predators with respect to prey density. (English) Zbl 07946841 Discrete Contin. Dyn. Syst. 45, No. 2, 511-547 (2025). MSC: 34C60 92D25 34A36 34C05 34D20 34D23 34C23 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jicai; Lu, Min; Xiang, Chuang; Zou, Lan Bifurcations of codimension 4 in a Leslie-type predator-prey model with Allee effects. (English) Zbl 07941658 J. Differ. Equations 414, 201-241 (2025). MSC: 34C60 92D25 34C05 34D20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Shiyou; Xu, Weijiao Bounding the number of limit cycles for perturbed piecewise linear Hamiltonian system. (English) Zbl 07941014 J. Math. Anal. Appl. 542, No. 2, Article ID 128866, 14 p. (2025). Reviewer: Xingwu Chen (Chengdu) MSC: 34C07 34A36 34A30 37J40 34C05 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Jingping; Wang, Chunyong; Huang, Wentao; Wang, Qinlong Hopf and zero-Hopf bifurcations for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\). (English) Zbl 1547.34056 J. Appl. Anal. Comput. 15, No. 1, 354-372 (2025). MSC: 34C23 34C28 34C40 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Abboubakar, Hamadjam; Racke, Reinhard Mathematical modeling of the coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives. (English) Zbl 07923050 Discrete Contin. Dyn. Syst., Ser. B 30, No. 1, 289-329 (2025). MSC: 34C60 92D30 34C11 34C05 34D20 34D05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yaoqi; Jiang, Jifa On the multiplicity of limit cycles for 3D Leslie-Gower competitive system. (English) Zbl 07923040 Discrete Contin. Dyn. Syst., Ser. B 30, No. 1, 66-81 (2025). MSC: 34C60 92D25 34C05 34C23 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Gasull, Armengol; Rondón, Gabriel; da Silva, Paulo R. Simultaneous bifurcation of limit cycles for Piecewise Holomorphic systems. arXiv:2501.06674 Preprint, arXiv:2501.06674 [math.DS] (2025). MSC: 32A10 34A36 34C07 37G15 × Cite Format Result Cite Full Text: arXiv OA License
Zhou, Zheng-xin; Lu, Fei-fei Uniform isochronous center of a class of higher degree polynomial differential systems. (English) Zbl 07979329 Appl. Math., Ser. B (Engl. Ed.) 39, No. 4, 614-627 (2024). MSC: 34C07 34C05 34C25 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Maadan, Hicham; Messaho, Jamal Asymptotic study of a nonlinear elliptic boundary Steklov problem on a nanostructure. (English) Zbl 07976257 Demonstr. Math. 57, Article ID 20240076, 12 p. (2024). MSC: 35B27 35B40 35J66 35J92 49J45 70K05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Wen Tao; Wang, Qin Long; Du, Chao Xiong The isochronous center on center manifolds for three dimensional differential systems. (Chinese. English summary) Zbl 07974348 Acta Math. Sin., Chin. Ser. 67, No. 5, 995-1008 (2024). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patra, Krishna; Rao, Ch. Srinivasa Isolated periodic traveling waves of some reaction convection diffusion equations. (English) Zbl 07974178 Stud. Appl. Math. 153, No. 3, Article ID e12729, 34 p. (2024). MSC: 35C07 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Doungmo Goufo, Emile Franc Mirroring and nonlinear perturbation of a circuit’s system with multiple attractors. (English) Zbl 07973560 Math. Model. Anal. 29, No. 4, 731-752 (2024). MSC: 94C05 34A08 37D45 37M05 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qian; Liu, Ming; Xu, Xiaofeng Global Hopf bifurcation of a delayed diffusive gause-type predator-prey system with the fear effect and Holling type III functional response. (English) Zbl 07965452 Math. Model. Nat. Phenom. 19, Paper No. 5, 31 p. (2024). MSC: 35B32 35B10 35K51 35K57 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Rasulov, X. R. On a Volterra dynamical system of a two-sex population. (English) Zbl 07961764 Lobachevskii J. Math. 45, No. 8, 3975-3985 (2024). MSC: 34C60 92D25 34C05 34D20 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Volkov, S. V. Construction of flat vector fields with prescribed global topological structures. (English. Russian original) Zbl 07961567 J. Math. Sci., New York 286, No. 3, 343-357 (2024); translation from Sovrem. Mat., Fundam. Napravl. 70, No. 2, 237-252 (2024). MSC: 34C05 34A55 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanova, T. M.; Kostin, A. B.; Rubinshtein, A. I.; Sherstyukov, V. B. On limit cycles of autonomous systems. (English. Russian original) Zbl 07961400 J. Math. Sci., New York 286, No. 1, 68-88 (2024); translation from Sovrem. Mat., Fundam. Napravl. 70, No. 1, 77-98 (2024). MSC: 34C05 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Salwahan, Shraddha; Abbas, Syed Dynamical analysis of a switched social behavior model. (English) Zbl 07961212 São Paulo J. Math. Sci. 18, No. 2, 1861-1888 (2024). MSC: 34C60 91D10 34A36 34C05 34D20 34D23 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Santana, Paulo On the structural instability of non-hyperbolic limit cycles on planar polynomial vector fields. (English) Zbl 07961194 São Paulo J. Math. Sci. 18, No. 2, 1605-1618 (2024). MSC: 34D30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perez, Otavio Henrique; da Silva, Paulo Ricardo Polynomial slow-fast systems on the Poincaré-Lyapunov sphere. (English) Zbl 07961191 São Paulo J. Math. Sci. 18, No. 2, 1527-1552 (2024). MSC: 34E15 34C05 34C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panazzolo, Daniel Solutions of the equation \(a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2})\cdots)^{r_n} = b\, x\). (English) Zbl 07961190 São Paulo J. Math. Sci. 18, No. 2, 1505-1526 (2024). MSC: 16-XX 17-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novaes, Douglas D.; Silva, Luan V. M. F. A Melnikov analysis on a family of second order discontinuous differential equations. (English) Zbl 07961189 São Paulo J. Math. Sci. 18, No. 2, 1486-1504 (2024). MSC: 34A36 34C15 34C25 37G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Llibre, Jaume; Serantola, Leonardo P. New families of global cubic centers. (English) Zbl 07961187 São Paulo J. Math. Sci. 18, No. 2, 1454-1469 (2024). MSC: 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Gasull, Armengol From Abel’s differential equations to Hilbert’s 16th problem. (English) Zbl 07961181 São Paulo J. Math. Sci. 18, No. 2, 1342-1379 (2024). MSC: 34C07 34C05 34C25 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Caldas, Mayara D. A.; Martins, Ricardo M. Results about structural stability and the existence of limit cycles for piecewise smooth linear differential equations separated by the unit circle. (English) Zbl 07961180 São Paulo J. Math. Sci. 18, No. 2, 1305-1341 (2024). MSC: 16-XX 17-XX × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Francisco; Llibre, Jaume Parallel vector fields and global injectivity in two dimensions. (English) Zbl 07960597 Pac. J. Math. 333, No. 1, 1-15 (2024). MSC: 14R15 34C25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio On the crossing limit cycles created by a discontinuous piecewise differential system formed by three linear Hamiltonian saddles. (English) Zbl 07960273 Dyn. Syst. 39, No. 4, 799-822 (2024). MSC: 34A36 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiaoyi; Dong, Guangfeng Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities. (English) Zbl 07960267 Dyn. Syst. 39, No. 4, 653-664 (2024). MSC: 34A36 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buzzi, Claudio; Rodero, Ana Livia; Torregrosa, Joan 3-dimensional piecewise linear and quadratic vector fields with invariant spheres. (English) Zbl 07959585 Electron. J. Qual. Theory Differ. Equ. 2024, Paper No. 43, 27 p. (2024). MSC: 34C07 34C23 37C27 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sayed, Ahmed Mohammed Ahmed; Salman, Sanaa Moussa; Ibrahim, Mostafa On the dynamics of a discrete Riccati equation with perturbation. (English) Zbl 07959548 Appl. Anal. Optim. 8, No. 3, 371-383 (2024). MSC: 37-XX 34A12 34K20 34K27 37C25 37G15 × Cite Format Result Cite Review PDF Full Text: Link
Pakdemirli, Mehmet; Dolapci, İhsan Timucin Solution curves of equations in the differential space. (English) Zbl 07958435 Math. Comput. Sci. 18, No. 3, Paper No. 18, 7 p. (2024). MSC: 34A12 34A26 34C05 34C25 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Pulikonda, Mounika; Kokil, Priyanka Stability of interfered discrete-time system with concatenations of quantization and overflow. (English) Zbl 07957846 Circuits Syst. Signal Process. 43, No. 1, 302-317 (2024). MSC: 93D23 93C55 93C10 93D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, Song; Ma, Zhichao; Xu, Junxiang; Zhang, Dongfeng Response solutions of quasi-periodically forced degenerate oscillator equations with small parameters. (English) Zbl 07957699 J. Dyn. Differ. Equations 36, No. 4, 3811-3833 (2024). MSC: 34C15 34C05 34C27 34E10 37J40 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Church, Kevin; Queirolo, Elena Computer-assisted proofs of Hopf bubbles and degenerate Hopf bifurcations. (English) Zbl 07957683 J. Dyn. Differ. Equations 36, No. 4, 3385-3439 (2024). MSC: 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dibeh, Ghassan; El Deeb, Omar Synchronization and limit cycles in a simple contagion model with time delays. (English) Zbl 07955376 Physica D 470, Part A, Article ID 134417, 6 p. (2024). MSC: 91G15 34K24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kungirov, M. N. Bifurcation of periodic oscillations arising from a closed phase curve in systems with odd nonlinearities. (English) Zbl 07954461 Lobachevskii J. Math. 45, No. 6, 2739-2745 (2024). MSC: 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Gabdrahmanov, R. I. Andronov-Hopf bifurcation in control systems with nonsmooth functions. (English) Zbl 07954455 Lobachevskii J. Math. 45, No. 6, 2678-2687 (2024). MSC: 34C23 34C05 34D20 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Phatangare, Nanasaheb; Masalkar, Krishnat; Kendre, Subhash Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle. (English) Zbl 07954334 J. Difference Equ. Appl. 30, No. 12, 1900-1922 (2024). MSC: 37G05 37G10 37G15 37E05 37G35 37H20 37J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Shimin; Llibre, Jaume; Tong, Qian Poincaré compactification for \(n\)-dimensional piecewise polynomial vector fields: theory and applications. (English) Zbl 07951525 Topology Appl. 358, Article ID 109126, 17 p. (2024). MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Tian, Renhao Periodic orbits and non-existence of \(C^1\) first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in \(\mathbb{R}^4\). (English) Zbl 07951502 Rend. Circ. Mat. Palermo (2) 73, No. 7, 2723-2733 (2024). MSC: 34C23 34C05 34C29 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Hamada, M. Y. Dynamics of a Ricker type predator-prey model. (English) Zbl 07951500 Rend. Circ. Mat. Palermo (2) 73, No. 7, 2689-2708 (2024). MSC: 37F46 37G15 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
Kooij, Robert; Zegeling, André On the periodic motions of a one-degree-of-freedom oscillator. (English) Zbl 07948868 S\(\vec{\text{e}}\)MA J. 81, No. 3, 479-494 (2024). MSC: 34C25 34C05 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Salhi, Tayeb Planar quadratic differential systems with invariants of the form \(ax^2+bxy+cy^2+dx+ey+c_1t\). (English) Zbl 07948571 Bull. Iran. Math. Soc. 50, No. 4, Paper No. 49, 16 p. (2024). MSC: 34C05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Golubyatnikov, Vladimir Petrovich; Sitnyakovskaya, Elizaveta Aleksandrovna On a hidden attractor of one asymmetric gene network model. (Russian. English summary) Zbl 07947822 Mat. Zamet. SVFU 31, No. 2, 3-13 (2024). MSC: 34C60 92D10 34A36 34C05 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Yi-wen; Campbell, Sue Ann; Ren, Jing-li The Ananthakrishna model under non-synchronous perturbation. (English) Zbl 07945507 Acta Math. Appl. Sin., Engl. Ser. 40, No. 4, 1078-1097 (2024). MSC: 34C60 74C10 34C05 34D20 34C23 34C27 34D10 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae Abel quadratic differential systems of second kind. (English) Zbl 07944643 Electron. J. Differ. Equ. 2024, Paper No. 50, 38 p. (2024). MSC: 34C05 34C23 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Begun, N. A.; Vasilieva, E. V.; Zvyagintseva, T. E.; Il’in, Yu. A. Review of research on the qualitative theory of differential equations at St. Petersburg University. II: Locally qualitative analysis of essentially nonlinear systems. (English. Russian original) Zbl 07944455 Vestn. St. Petersbg. Univ., Math. 57, No. 3, 271-282 (2024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 11(69), No. 3, 401-418 (2024). MSC: 34-03 01A73 34C05 34C41 34C45 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Begun, N. A.; Vasil’eva, E. V.; Zvyagintseva, T. E.; Iljin, Yu. A. Review of research on the qualitative theory of differential equations at St. Petersburg university. I: Stable periodic points of diffeomorphisms with homoclinic points and systems with weakly hyperbolic invariant sets. (English. Russian original) Zbl 07944444 Vestn. St. Petersbg. Univ., Math. 57, No. 2, 141-151 (2024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 11(69), No. 2, 211-227 (2024). MSC: 37-02 37C10 37C15 37C20 37C25 37C27 37C75 34C05 34C25 34C37 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Gasull, Armengol; Santana, Paulo On a variant of Hilbert’s 16th problem. (English) Zbl 07943319 Nonlinearity 37, No. 12, Article ID 125012, 15 p. (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34C08 34C23 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karatetskaia, Efrosiniia; Kazakov, Alexey; Safonov, Klim; Turaev, Dmitry Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers \((-1,i,-i)\). (English) Zbl 07943316 Nonlinearity 37, No. 12, Article ID 125009, 38 p. (2024). MSC: 37G05 37G35 37G15 37G40 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casimiro, Joyce A.; Martins, Ricardo M.; Novaes, Douglas D. Poincaré-Hopf theorem for Filippov vector fields on 2-dimensional compact manifolds. (English) Zbl 07941374 Commun. Pure Appl. Anal. 23, No. 11, 1770-1796 (2024). MSC: 34A36 34C40 34C05 37B30 58J20 55M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xiaodong; Wang, Kai; Wang, Lei; Teng, Zhidong Dynamics of a stochastic brucellosis model with vaccination and environmental pollution transmission. (English) Zbl 07941262 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 299, 47 p. (2024). MSC: 34C60 92D30 34C05 34D05 60E05 × Cite Format Result Cite Review PDF Full Text: DOI
Álvarez-Ramírez, Martha; García-Saldaña, Johanna D.; Medina, Mario Global dynamics and integrability of a Leslie-Gower predator-prey model with linear functional response and generalist predator. (English) Zbl 07941257 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 294, 19 p. (2024). MSC: 34C60 92D25 34A05 34C05 34A05 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiao, Xue; Zhang, Xinhong; Jiang, Daqing A stochastic model for transmission dynamics of AIDS with protection consciousness and log-normal Ornstein-Uhlenbeck process. (English) Zbl 07941256 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 293, 42 p. (2024). MSC: 34C60 93D30 34F05 34C05 34D05 60G22 60E05 × Cite Format Result Cite Review PDF Full Text: DOI
Goel, Kanica; Nilam A nonlinear SAIR epidemic model: effect of awareness class, nonlinear incidences, saturated treatment and time delay. (English) Zbl 07941111 Ric. Mat. 73, No. 5, 2713-2747 (2024). MSC: 34C60 92D30 34C05 34D20 34D23 34C23 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
De Angelis, Monica Hopf bifurcations in dynamics of excitable systems. (English) Zbl 07941103 Ric. Mat. 73, No. 5, 2591-2604 (2024). MSC: 34C60 92C20 34C05 34D20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gardini, Laura; Sushko, Iryna; Tikjha, Wirot Dynamics of a rational map: unbounded cycles, unbounded chaotic intervals and organizing centres. (English) Zbl 07939258 J. Difference Equ. Appl. 30, No. 10, 1405-1437 (2024). MSC: 37E05 37G10 37G15 37G35 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Albert C. J. Limit cycles and homoclinic networks in two-dimensional polynomial systems (to appear). (English) Zbl 07938926 Singapore: Springer (ISBN 978-981-972616-5/hbk; 978-981-972619-6/pbk; 978-981-972617-2/ebook). viii, 328 p. (2024). MSC: 37-02 34-02 37C10 37C25 37C27 37C29 37G15 37G35 34C05 34C07 34C37 × Cite Format Result Cite Review PDF
Cen, Xiuli; Liu, Changjian Revisiting the number of zeros of abelian integrals for perturbed pendulum equations. (English) Zbl 07938865 J. Differ. Equations 411, 850-879 (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34C08 34C15 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Appell, J.; Petrova, L. P.; Pryadko, I. N.; Reinwand, S. On closed trajectories of an autonomous planar system with not necessarily convex constraint. (English) Zbl 07938388 Mediterr. J. Math. 21, No. 6, Paper No. 176, 19 p. (2024). MSC: 34C07 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
He, Dongping; Llibre, Jaume Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular line of discontinuity. II. (English) Zbl 07938386 Mediterr. J. Math. 21, No. 6, Paper No. 174, 31 p. (2024); correction ibid. 21, No. 7, Paper No. 192, 1 p. (2024). MSC: 34C05 34C07 34C25 34C29 × Cite Format Result Cite Review PDF Full Text: DOI
Bonetto, Riccardo; Jardón-Kojakhmetov, Hildeberto A topological perspective on singular canards for critical sets with transverse intersections. (English) Zbl 07936183 Engel, Maximilian (ed.) et al., Topics in multiple time scale dynamics. Workshop, Banff International Research Station, Banff, Alberta, Canada, November 27 – December 2, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 806, 1-14 (2024). MSC: 34E17 34E15 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gasull, Armengol; Rondón, Gabriel; da Silva, Paulo Ricardo On the number of limit cycles for piecewise polynomial holomorphic systems. (English) Zbl 07935912 SIAM J. Appl. Dyn. Syst. 23, No. 3, 2593-2622 (2024). MSC: 30C10 30C15 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbieri, Aires E. M. Helicoidal surfaces of prescribed mean curvature in \(\mathbb{R}^3\). (English) Zbl 07933550 Result. Math. 79, No. 7, Paper No. 258, 32 p. (2024). MSC: 53A10 53C42 34C05 34C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barreira, Luis; Llibre, Jaume; Valls, Clàudia On the global nilpotent centers of cubic polynomial Hamiltonian systems. (English) Zbl 07932522 Differ. Equ. Dyn. Syst. 32, No. 4, 1001-1011 (2024). MSC: 34C05 34C07 34C08 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Jinhui; Huang, Jicai; Wang, Hao Relaxation oscillation, homoclinic orbit and limit cycles in a piecewise smooth predator-prey model. (English) Zbl 07931972 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 289, 17 p. (2024). MSC: 34C60 92D25 34C05 34C26 34C37 34E15 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yangjian; Wang, Shaoqing; Yang, Jiazhong On the Chebyshev property of a class of hyperelliptic abelian integrals. (English) Zbl 07931958 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 275, 12 p. (2024). MSC: 34C08 34C23 34C07 37J06 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zheng; Zhao, Liqin Bifurcation of limit cycles for a kind of piecewise smooth differential systems with an elementary center of focus-focus type. (English) Zbl 07931957 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 274, 25 p. (2024). Reviewer: Dingheng Pi (Quanzhou) MSC: 34A36 34C23 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Jinhui; Huang, Jicai; Huzak, Renato; Ruan, Shigui Cyclicity of slow-fast cycles with one self-intersection point and two nilpotent contact points. (English) Zbl 07930636 Nonlinearity 37, No. 11, Article ID 115007, 30 p. (2024). MSC: 34E15 34C05 34E17 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Halanay, Andrei; Murea, Cornel Marius; Tiba, Dan Some properties of the period for certain ordinary differential systems and applications to topology optimization of variational inequalities. (English) Zbl 1548.49012 Migórski, Stanisław (ed.) et al., Nonsmooth problems with applications in mechanics. Selected papers based on the presentations of the conference, Będlewo, Poland, June 17–22, 2023. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 127, 129-146 (2024). MSC: 49J40 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Bandyopadhyay, Richik; Chattopadhyay, Joydev The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems. (English) Zbl 07925944 J. Math. Biol. 89, No. 4, Paper No. 38, 32 p. (2024). MSC: 37N25 34C23 92B05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Bin, Qun; Huang, Wentao; Li, Jing; Liang, Shi Traveling fronts of a real supercritical quintic Ginzburg-Landau equation coupled by a slow diffusion mode. (English) Zbl 1547.35646 J. Appl. Anal. Comput. 14, No. 5, 2862-2876 (2024). MSC: 35Q56 35C07 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qiaoyun; Wang, Na; Sun, Xianbo Monotonicity of the ratios of two abelian integrals for Hamiltonian systems with parameters. (English) Zbl 1547.34052 J. Appl. Anal. Comput. 14, No. 5, 2466-2487 (2024). MSC: 34C07 34D10 37G20 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Peixing; Yu, Jiang The first three order Melnikov functions for general piecewise Hamiltonian systems with a non-regular separation line. (English) Zbl 1547.34051 J. Appl. Anal. Comput. 14, No. 3, 1374-1394 (2024). MSC: 34C05 34C07 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Guangfeng; Llibre, Jaume The uniform isochronous centers with homogeneous nonlinearities of degree 6. (English) Zbl 07923985 J. Dyn. Control Syst. 30, No. 3, Paper No. 34, 23 p. (2024). MSC: 34C05 37C15 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hebai; Yang, Hao; Zhang, Rui; Zhang, Xiang New criterions on nonexistence of periodic orbits of planar dynamical systems and their applications. (English) Zbl 07923955 J. Nonlinear Sci. 34, No. 5, Paper No. 96, 66 p. (2024). MSC: 34C05 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv