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
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
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
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: 34A36 34A30 37J40 34C07 34C05 34C23 × 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
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 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 34C25 37C27 × 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: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
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). MSC: 34C07 34C08 34C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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). 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
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
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
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
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
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
Yu, Xiangqin; Huang, Jianfeng; Liu, Changjian Maximum number of limit cycles for Abel equation having coefficients with linear trigonometric functions. (English) Zbl 07923708 J. Differ. Equations 410, 301-318 (2024). MSC: 34C25 34C07 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tian, Yuzhou; Cen, Xiuli New sufficient condition for the two-dimensional real Jacobian conjecture through the Newton diagram. (English) Zbl 07923703 J. Differ. Equations 410, 171-196 (2024). MSC: 37C20 37E30 37C25 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dumortier, Freddy Corrigendum to: “A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral”. (English) Zbl 1546.34080 J. Differ. Equations 409, 881-883 (2024). MSC: 34C20 34C45 37E30 34C07 34C40 34C23 37D10 34E15 × Cite Format Result Cite Review PDF Full Text: DOI
Benyoucef, Salah; Bendjadou, Ahmed; Chouader, Rima On the existence of hyperbolic algebraic limit cycles for a family of polynomial differential systems. (English) Zbl 1547.34049 Appl. Math. E-Notes 24, 417-423 (2024). MSC: 34C05 34C07 34C25 × Cite Format Result Cite Review PDF Full Text: Link
Bouaziz, Chamseddine; Llibre, Jaume; Djedid, Djamila; Makhlouf, Amar Periodic orbits in the zero-Hopf bifurcations of 3-dimensional Kolmogorov systems of degree 3. (English) Zbl 07923075 Appl. Math. E-Notes 24, 237-273 (2024). MSC: 37G15 37G10 37C27 34C23 34C07 × Cite Format Result Cite Review PDF Full Text: Link
Belattar, Meryem; Cheurfa, Rachid; Bendjeddou, Ahmed; Santana, Paulo An exactly solvable planar differential system of degree six with an explicit algebraic limit cycle. (English) Zbl 1547.34001 Appl. Math. E-Notes 24, 180-191 (2024). MSC: 34A05 34A09 34C05 34C07 34C25 × Cite Format Result Cite Review PDF Full Text: Link
Xu, Xiaoyu; Yang, Junmin; Han, Tong The number of limit cycles near a double homoclinic loop for a near-Hamiltonian system. (English) Zbl 07923035 J. Appl. Anal. Comput. 14, No. 2, 1111-1132 (2024). MSC: 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Yanli; Wu, Yusen; Li, Feng Integrability and bifurcation of limit cycles for a class of quasi-homogeneous systems. (English) Zbl 07923028 J. Appl. Anal. Comput. 14, No. 2, 1006-1013 (2024). MSC: 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiaoqing; Yang, Yue; Xu, Yancong; He, Mu Bifurcations and hydra effects in Rosenzweig-MacArthur model. (English) Zbl 07923008 J. Appl. Anal. Comput. 14, No. 2, 606-622 (2024). MSC: 34C05 34C07 34C23 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Yanli; Li, Feng Multiple stable states for a class of predator-prey systems with two harvesting rates. (English) Zbl 07922852 J. Appl. Anal. Comput. 14, No. 1, 506-514 (2024). MSC: 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Chaoxiong; Huang, Wentao Bifurcation of limit cycle at the infinity on a center manifolds in space vector field. (English) Zbl 07922847 J. Appl. Anal. Comput. 14, No. 1, 408-423 (2024). MSC: 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Jianan; Sheng, Lijuan Number of limit cycles of a case of polynomial system via the stability-changing method. (English) Zbl 07922846 J. Appl. Anal. Comput. 14, No. 1, 392-407 (2024). MSC: 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Yanqin; Zhao, Liqin Limit cycle bifurcations by perturbing a kind of quadratic Hamiltonian system having a homoclinic loop. (English) Zbl 07922053 Discrete Contin. Dyn. Syst., Ser. B 29, No. 11, 4416-4431 (2024). Reviewer: Pedro Soares (Lisboa) MSC: 34A36 34C37 34C23 34C05 34C07 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yaoqi; Jiang, Jifa Multiplicity on limit cycles of 3D Lotka-Volterra competitive systems. (English) Zbl 07920468 J. Dyn. Differ. Equations 36, No. 3, 2007-2039 (2024). MSC: 34C60 92D25 34C05 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Tababouchet, Ines; Berbache, Aziza At most five limit cycles in a class of discontinuous piecewise linear systems with three zones. (English) Zbl 1546.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 8, Article ID 2450093, 32 p. (2024). MSC: 34C05 34A36 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Lijun; Liu, Jinling; Hong, Xiaochun Studying the upper bounds of the numbers of zeros of abelian integrals by the law of polynomials. (English) Zbl 1546.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 7, Article ID 2450081, 16 p. (2024). MSC: 34C07 34C08 34C05 37G15 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijun; Pan, Jun; Ke, Guiyao Revealing more hidden attractors from a new sub-quadratic Lorenz-like system of degree \(\frac{6}{5}\). (English) Zbl 1546.37056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 6, Article ID 2450071, 15 p. (2024). MSC: 37D45 34D45 34C07 34C28 34C37 34C23 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Lu; Liu, Changjian The discontinuous planar piecewise linear systems with two improper nodes have at most one limit cycle. (English) Zbl 07916238 Nonlinear Anal., Real World Appl. 80, Article ID 104180, 9 p. (2024). MSC: 34C05 34A36 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Bifurcation of limit cycles from a periodic annulus formed by a center and two saddles in piecewise linear differential system with three zones. (English) Zbl 1545.34043 Nonlinear Anal., Real World Appl. 80, Article ID 104171, 17 p. (2024). MSC: 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hebai; Dai, Dehong; Meng, Yuhao; Wang, Zhaoxia A generalized Bogdanov-Takens system with arbitrary degree. (English) Zbl 07909841 Bull. Sci. Math. 196, Article ID 103491, 53 p. (2024). MSC: 34A34 34C05 34C07 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chang Jian; Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín Solution of the center problem for a class of polynomial differential systems. (English) Zbl 07904904 Acta Math. Sin., Engl. Ser. 40, No. 7, 1685-1696 (2024). MSC: 34C05 34C07 34C20 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hebai; Dai, Dehong; Feng, Zhaosheng Global phase portraits of generalized polynomial Liénard system with a unique equilibrium and a periodic annulus. (English) Zbl 07903386 Dyn. Syst. 39, No. 3, 424-448 (2024). MSC: 34C05 34C07 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Huzak, Renato; Uldall Kristiansen, Kristian Sliding cycles of regularized piecewise linear visible-invisible twofolds. (English) Zbl 07902963 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 256, 40 p. (2024). MSC: 34C05 34A36 34A30 34E15 34E17 34C07 34C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Bo; Wang, Dongming Zero-Hopf bifurcation of limit cycles in certain differential systems. (English) Zbl 07900728 Bull. Sci. Math. 195, Article ID 103472, 41 p. (2024). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34C23 34C05 34C07 34C29 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Maoan; Liu, Shanshan Hopf bifurcation in a class of piecewise smooth near-Hamiltonian systems. (English) Zbl 07900727 Bull. Sci. Math. 195, Article ID 103471, 30 p. (2024). Reviewer: Guglielmo Feltrin (Udine) MSC: 34C23 34C05 37J40 34A36 34C07 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Ke, Ai; Yang, Junmin On double homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. (English) Zbl 07896485 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 249, 20 p. (2024). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C07 34C23 34C37 37J40 34C40 37C60 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Grau, Maite; Szántó, Iván A polynomial system of degree four with an invariant square containing at least five limit cycles. (English) Zbl 07896483 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 247, 16 p. (2024). MSC: 34C05 34C07 34C45 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Salhi, Tayeb Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems. (English) Zbl 07896262 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 4, 279-286 (2024). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34A36 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: Link Link
Huang, Jianfeng; Li, Jinfeng Estimates for the number of limit cycles of the planar polynomial differential systems with homogeneous nonlinearities. (English) Zbl 07893972 J. Differ. Equations 401, 148-182 (2024). Reviewer: Amel Boulfoul (Skikda) MSC: 34C07 34C23 34C08 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Zegeling, André Nests of limit cycles in quadratic systems. (English) Zbl 07888720 Adv. Nonlinear Anal. 13, Article ID 20240012, 34 p. (2024). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Francisco; da Cruz, Leonardo Pereira Costa; Torregrosa, Joan On the number of limit cycles in piecewise planar quadratic differential systems. (English) Zbl 07885659 Nonlinear Anal., Real World Appl. 79, Article ID 104124, 15 p. (2024). Reviewer: Hongwei Shi (Zhuhai) MSC: 34C07 34A36 34C05 34C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Hongwei An upper bound for the number of small-amplitude limit cycles in non-smooth Liénard system. (English) Zbl 07885645 Nonlinear Anal., Real World Appl. 79, Article ID 104101, 11 p. (2024). Reviewer: Lucyjane Silva (Goiânia) MSC: 34C07 34C23 34B30 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Bakhshalizadeh, Ali; Llibre, Jaume Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves. (English) Zbl 07878132 Differ. Equ. Dyn. Syst. 32, No. 3, 871-907 (2024). Reviewer: Valery A. Gaiko (Minsk) MSC: 37C15 37C79 34C05 34C07 34C08 70K05 × Cite Format Result Cite Review PDF Full Text: DOI
Bakhshalizadeh, Ali; Asheghi, Rasoul The monotonicity of the ratio of two line integrals in piecewise smooth differential systems. (English) Zbl 07878128 Differ. Equ. Dyn. Syst. 32, No. 3, 785-798 (2024). MSC: 37J40 34C07 34C05 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
López García, Daniel Monodromy problem and tangential center-focus problem for products of lines in general position in \(\mathbb{P}^2\). (English) Zbl 07877198 Mosc. Math. J. 24, No. 2, 181-199 (2024). MSC: 32S65 14D05 34C07 34C08 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Tabet, Achref Eddine; Makhlouf, Amar Limit cycles for a class of fifth-order differential equations. (English) Zbl 07876218 J. Appl. Math. Inform. 42, No. 1, 139-148 (2024). MSC: 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Jinhui; Huzak, Renato Cyclicity of the limit periodic sets for a singularly perturbed Leslie-Gower predator-prey model with prey harvesting. (English) Zbl 07876093 J. Dyn. Differ. Equations 36, No. 2, 1721-1758 (2024). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C60 92D25 34E15 34E17 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
García, Isaac A. Small amplitude periodic orbits in three-dimensional quadratic vector fields with a zero-Hopf singularity. (English) Zbl 07876079 J. Dyn. Differ. Equations 36, No. 2, 1325-1346 (2024). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C23 34C07 34C45 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Claudia Twin quadratic polynomial vector fields in the space \(\mathbb{C}^3\). (English) Zbl 07875573 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 2, 121-132 (2024). Reviewer: Maite Grau (Lleida) MSC: 34C05 34C07 34C08 × Cite Format Result Cite Review PDF Full Text: Link
Berbache, Aziza; Tababouchet, Ines Four crossing limit cycles of a family of discontinuous piecewise linear systems with three zones separated by two parallel straight lines. (English) Zbl 07873928 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 50, 29 p. (2024). MSC: 34C07 34A36 34A30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Peixing; Yu, Jiang Limit cycles bifurcated from piecewise Hamiltonian systems by Melnikov functions of any order. (English) Zbl 07873551 J. Differ. Equations 404, 108-129 (2024). MSC: 34C05 34C07 34C23 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shanshan; Han, Maoan Homoclinic and heteroclinic bifurcations in piecewise smooth systems via stability-changing method. (English) Zbl 07872440 Comput. Appl. Math. 43, No. 5, Paper No. 274, 24 p. (2024). MSC: 34C23 34C05 34C07 37G15 34C37 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Hongwei The maximum number of small-amplitude limit cycles in Liénard-type systems with cubic restoring terms. (English) Zbl 07871728 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 217, 18 p. (2024). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34B30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shanshan; Han, Maoan Bifurcation theory of limit cycles by higher order Melnikov functions and applications. (English) Zbl 07869051 J. Differ. Equations 403, 29-66 (2024). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C07 34C37 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Rezaiki, Nabil; Boulfoul, Amel On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations. (English) Zbl 07867609 J. Appl. Anal. 30, No. 1, 35-50 (2024). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C23 34E10 34A36 34C05 34C29 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Albert C. J. 1-dimensional flow arrays and bifurcations in planar polynomial systems. (English) Zbl 07863732 Beijing: Higher Education Press; Singapore: Springer (ISBN 978-981-97-2203-7/hbk; 978-981-97-2206-8/pbk). (2024). MSC: 37-02 37Gxx 70K45 70K50 34C23 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yangjian; Ji, Guilin; Wang, Shaoqing The cyclicity of a class of quadratic reversible systems with hyperelliptic curves. (English) Zbl 07863177 Bull. Sci. Math. 193, Article ID 103420, 29 p. (2024). Reviewer: Joan C. Artés (Barcelona) MSC: 34C07 34C08 37G15 34C23 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Qianqian; Shen, Jianwei; Pandey, Vikas; Yuan, Xiaoping; Guan, Linan Pattern selection mechanism from the equilibrium point and limit cycle. (English) Zbl 1537.92153 Chaos 34, No. 2, Article ID 023124, 9 p. (2024). MSC: 92D30 35B36 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Albert C. J. Limit cycles and homoclinic networks in two-dimensional polynomial systems. (English) Zbl 1544.34042 Chaos 34, No. 2, 022104, 66 p. (2024). MSC: 34C05 34C07 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
de Abreu, Tiago M. P.; Martins, Ricardo M. Estimates for the number of limit cycles in discontinuous generalized Liénard equations. (English) Zbl 07851495 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 187, 14 p. (2024). MSC: 34A36 34A30 34C29 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tian, Renhao; Zhao, Yulin The limit cycles for a class of non-autonomous piecewise differential equations. (English) Zbl 07851493 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 185, 19 p. (2024). Reviewer: Changjian Liu (Zhuhai) MSC: 34C25 37C60 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume; Llibre, Jaume Characterization of the Riccati and Abel polynomial differential systems having invariant algebraic curves. (English) Zbl 1546.34006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2450066, 7 p. (2024). MSC: 34A05 34C05 34A34 34C20 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Baymout, Louiza; Benterki, Rebiha; Llibre, Jaume Limit cycles of the discontinuous piecewise differential systems separated by a nonregular line and formed by a linear center and a quadratic one. (English) Zbl 1546.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2450058, 42 p. (2024). MSC: 34C05 34A36 34C07 37G15 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Liping; Du, Zhengdong Crossing limit cycles in planar piecewise linear systems separated by a nonregular line with node-node type critical points. (English) Zbl 1546.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 4, Article ID 2450049, 23 p. (2024). MSC: 34A36 34C05 34C07 34C23 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Barkat, Meriem; Benterki, Rebiha; Ponce, Enrique Global phase portraits of piecewise quadratic differential systems with a pseudo-center. (English) Zbl 1546.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 3, Article ID 2450032, 22 p. (2024). MSC: 34C05 34A36 34C23 34C07 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Baymout, Louiza; Benterki, Rebiha Four limit cycles of three-dimensional discontinuous piecewise differential systems having a sphere as switching manifold. (English) Zbl 1546.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 3, Article ID 2450030, 13 p. (2024). MSC: 34C05 34C07 34A36 37G15 34C10 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Albert C. J. Bifurcations for homoclinic networks in two-dimensional polynomial systems. (English) Zbl 1546.34087 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 3, Article ID 2430006, 153 p. (2024). MSC: 34C23 34C05 34C07 34C29 × Cite Format Result Cite Review PDF Full Text: DOI
Anacleto, Maria Elisa; Vidal, Claudio Limit cycles bifurcating of discontinuous and continuous piecewise differential systems of isochronous cubic centers with three zones. (English) Zbl 07845335 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 173, 37 p. (2024). MSC: 34C05 34A36 34C07 34C25 34C29 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hebai; Jia, Man; Tang, Yilei Topological classifications of a piecewise linear Liénard system with three zones. (English) Zbl 1544.34047 J. Differ. Equations 399, 1-47 (2024). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34C05 34A36 34A30 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Min; Huang, Lihong; Wang, Jiafu Limit cycles in discontinuous planar piecewise differential systems with multiple nonlinear switching curves. (English) Zbl 1544.34043 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 159, 22 p. (2024). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34C05 34C07 34A36 34C29 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Xiangqin; Chen, Hebai; Liu, Changjian The number of limit cycles of Josephson equation. (English) Zbl 1545.34044 Discrete Contin. Dyn. Syst., Ser. B 29, No. 7, 2947-2971 (2024). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34B30 34C23 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García, Isaac A.; Giné, Jaume The linear term of the Poincaré map at singularities of planar vector fields. (English) Zbl 07839394 J. Differ. Equations 396, 44-67 (2024). MSC: 34C05 34C25 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Bobieński, Marcin; Nagrodzki, Michał Pseudo-abelian integrals and divergence integrals on slow-fast model system. (English) Zbl 1541.34054 Bull. Sci. Math. 192, Article ID 103414, 6 p. (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34E15 34C23 34C08 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zheng; Zhao, Liqin The number of limit cycles of a kind of piecewise quadratic systems with switching curve \(y = x^m\). (English) Zbl 1541.34055 J. Math. Anal. Appl. 536, No. 2, Article ID 128178, 27 p. (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34A36 34E10 34C23 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Junmin; Han, Maoan Some properties of Melnikov functions near a cuspidal loop. (English) Zbl 07827579 Sci. China, Math. 67, No. 4, 767-786 (2024). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C05 34C07 34C23 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Bravo, J. L.; Fernández, M.; Ojeda, I. Hilbert number for a family of piecewise nonautonomous equations. (English) Zbl 1540.34044 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 119, 17 p. (2024). Reviewer: Alexander Grin (Grodno) MSC: 34A36 37C60 34B30 34C25 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Valls, Claudia A generalization of the Poincaré compactification and the real Jacobian conjecture. (English) Zbl 1541.37024 J. Dyn. Differ. Equations 36, No. 1, 619-631 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37C20 37C10 37E30 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Lijun; Zhang, Xiang; Zhu, Jinbo Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system. (English) Zbl 07818465 J. Dyn. Differ. Equations 36, No. 1, 405-420 (2024). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 34C23 37J40 34C37 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Ouyang, Yuting; He, Dongping; Huang, Wentao Nine limit cycles around a weak focus in a class of three-dimensional cubic Kukles systems. (English) Zbl 1540.34073 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 101, 16 p. (2024). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yuan; Zegeling, André; Huang, Wentao The application of Liénard transformations to predator-prey systems. (English) Zbl 1539.34030 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 91, 33 p. (2024). Reviewer: Lucyjane Silva (Goiânia) MSC: 34C05 34C07 34C20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jihua The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations. (English) Zbl 07815387 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 3, 1115-1144 (2024). MSC: 34C23 34C08 34C07 34D10 34A36 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Benterki, Rebiha; Damene, Loubna; Llibre, Jaume The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves. II. (English) Zbl 1535.34021 Differ. Equ. Dyn. Syst. 32, No. 1, 115-149 (2024). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 34A36 34A30 34C05 34C29 34C07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Craciun, Gheorghe; Deshpande, Abhishek; Jin, Jiaxin Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective. (English) Zbl 1547.37101 J. Math. Chem. 62, No. 2, 476-501 (2024). MSC: 37N25 34C07 92E20 92D25 92D40 92D30 80A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pessoa, Claudio; Queiroz, Lucas; Ribeiro, Jarne D. Cyclicity of rigid centres on centre manifolds of three-dimensional systems. (English) Zbl 1543.34031 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 1, 188-200 (2024). Reviewer: Majid Gazor (Isfahan) MSC: 34C07 34C23 34C05 34C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christopher, Colin; Li, Chengzhi; Torregrosa, Joan Limit cycles of differential equations. 2nd edition. (English) Zbl 1531.34002 Advanced Courses in Mathematics – CRM Barcelona. Cham: Birkhäuser (ISBN 978-3-030-59655-2/pbk; 978-3-030-59656-9/ebook). ix, 238 p. (2024). MSC: 34-01 34-02 34C05 34C07 37C10 37C27 × Cite Format Result Cite Review PDF Full Text: DOI
Zegeling, André Perturbation of a piecewise regular-singular Liénard system. (English) Zbl 1535.34022 J. Differ. Equations 380, 404-442 (2024). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C26 34C07 34C23 92D25 34E15 34E10 34E17 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
De Maesschalck, Peter; Torregrosa, Joan Critical periods in planar polynomial centers near a maximum number of cusps. (English) Zbl 1536.34032 J. Differ. Equations 380, 181-197 (2024). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34C23 37C27 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Yanqin On the number of limit cycles near a homoclinic loop with a nilpotent cusp of order \(m\). (English) Zbl 1536.34034 J. Differ. Equations 380, 146-180 (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34C05 34C23 34C37 34E10 × Cite Format Result Cite Review PDF Full Text: DOI