Qualitative Theory of Dynamical Systems Short Title: Qual. Theory Dyn. Syst. Publisher: Springer (Birkhäuser), Basel ISSN: 1575-5460; 1662-3592/e Online: https://link.springer.com/journal/12346/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,307 Publications (since 2000) References Indexed: 1,269 Publications with 39,023 References. all top 5 Latest Issues 24, No. 1 (2025) 23, No. 5 (2024) 23, No. 4 (2024) 23, No. 3 (2024) 23, No. 2 (2024) 23, No. 1 (2024) 23, Suppl. 1 (2024) 22, No. 4 (2023) 22, No. 3 (2023) 22, No. 2 (2023) 22, No. 1 (2023) 21, No. 4 (2022) 21, No. 3 (2022) 21, No. 2 (2022) 21, No. 1 (2022) 20, No. 3 (2021) 20, No. 2 (2021) 20, No. 1 (2021) 19, No. 3 (2020) 19, No. 2 (2020) 19, No. 1 (2020) 18, No. 3 (2019) 18, No. 2 (2019) 18, No. 1 (2019) 17, No. 3 (2018) 17, No. 2 (2018) 17, No. 1 (2018) 16, No. 3 (2017) 16, No. 2 (2017) 16, No. 1 (2017) 15, No. 2 (2016) 15, No. 1 (2016) 14, No. 2 (2015) 14, No. 1 (2015) 13, No. 2 (2014) 13, No. 1 (2014) 12, No. 2 (2013) 12, No. 1 (2013) 11, No. 2 (2012) 11, No. 1 (2012) 10, No. 2 (2011) 10, No. 1 (2011) 9, No. 1-2 (2010) 8, No. 2 (2010) 8, No. 1 (2009) 7, No. 2 (2009) 7, No. 1 (2008) 6, No. 2 (2005) 6, No. 1 (2005) 5, No. 2 (2004) 5, No. 1 (2004) 4, No. 2 (2003) 4, No. 1 (2003) 3, No. 2 (2002) 3, No. 1 (2002) 2, No. 2 (2002) 2, No. 1 (2001) 1, No. 2 (2000) all top 5 Authors 28 Llibre, Jaume 25 Wang, Jinrong 17 Zada, Akbar 16 Xia, Yonghui 15 Vijayakumar, Velusamy 12 Fečkan, Michal 12 Gasull, Armengol 12 Vidal, Claudio 11 Abdeljawad, Thabet 11 Alzabut, Jehad O. 11 Giné, Jaume 10 Gao, Xinyi 10 Tian, Bo 10 Valls Anglés, Cláudia 9 Etemad, Sina 9 Li, Jibin 9 Tang, Chun-Lei 9 Xu, Junxiang 8 Ahmad, Bashir 8 El-Nabulsi, Rami Ahmad 8 Jiang, Daqing 8 Nieto Roig, Juan Jose 8 Rezapour, Shahram 8 Vulpe, Nicolae I. 7 Du, Zengji 7 García Guirao, Juan Luis 7 Huang, Wentao 7 Lacomba, Ernesto A. 7 Schlomiuk, Dana I. 7 Zhang, Xiang 7 Zhou, Yong 6 Algaba, Antonio 6 Al-saedi, Ahmed Eid Salem 6 Alvarez-Ramírez, Martha 6 Băleanu, Dumitru I. 6 Chen, Xingwu 6 Falconi, Manuel J. 6 Gao, Xiao-Tian 6 Guo, Yongjiang 6 Han, Maoan 6 Pérez-Chavela, Ernesto 6 Roussarie, Robert 6 Rousseau, Christiane 6 Shah, Kamal 6 Shan, Wenrui 6 Sooppy Nisar, Kottakkaran 6 Zhang, Ziheng 5 Abbas, Syed 5 Chen, Fengde 5 Cheng, Zhibo 5 Cima, Anna 5 Corbera, Montserrat 5 Cors, Josep Maria 5 Din, Qamar 5 Dumortier, Freddy 5 Grace, Said Rezk 5 Huzak, Renato 5 Jiang, Fangfang 5 Khater, Mostafa M. A. 5 Li, Zhiming 5 Liu, Changjian 5 Popa, Ioan-Lucian 5 Sun, Taixiang 5 Wu, Xinxing 5 Xi, Hongjian 5 Yang, Jiazhong 5 Yang, Jihua 5 Yang, Xiaosong 5 Zhang, Tonghua 5 Zhao, Liqin 4 Addas-Zanata, Salvador 4 Bai, Yuzhen 4 Barreira, Luis Manuel 4 Bessa, Mário 4 Bhatti, Muhammad Mubashir 4 Bravo, José Luis 4 Bujac, Cristina 4 Buzzi, Claudio Aguinaldo 4 Chen, Yuqi 4 Fernandes, Antonio Carlos 4 Françoise, Jean-Pierre 4 García, Cristóbal 4 Jamilov, Uygun U. 4 Li, Jia 4 Li, Yongxiang 4 Liu, Ming 4 Mahmudov, Nazim Idrisoglu 4 Manafian Heris, Jalil 4 Mañosas, Francesc 4 Medina, Mario 4 Mello, Luis Fernando O. 4 Moulin Ollagnier, Jean 4 O’Regan, Donal 4 Ren, Yong 4 Rizwan, Rizwan 4 Salim, Abdelkrim 4 Shah, Syed Omar 4 Shukla, Anurag 4 Thandapani, Ethiraju 4 Torregrosa, Joan ...and 1,947 more Authors all top 5 Fields 634 Ordinary differential equations (34-XX) 503 Dynamical systems and ergodic theory (37-XX) 255 Partial differential equations (35-XX) 153 Biology and other natural sciences (92-XX) 134 Mechanics of particles and systems (70-XX) 133 Operator theory (47-XX) 69 Difference and functional equations (39-XX) 53 Probability theory and stochastic processes (60-XX) 52 Real functions (26-XX) 48 Systems theory; control (93-XX) 38 General topology (54-XX) 34 Fluid mechanics (76-XX) 26 Measure and integration (28-XX) 25 Differential geometry (53-XX) 24 Numerical analysis (65-XX) 22 Integral equations (45-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Optics, electromagnetic theory (78-XX) 13 Manifolds and cell complexes (57-XX) 12 Algebraic geometry (14-XX) 12 Special functions (33-XX) 11 Computer science (68-XX) 9 Functional analysis (46-XX) 8 Functions of a complex variable (30-XX) 8 Geophysics (86-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 6 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 Abstract harmonic analysis (43-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of deformable solids (74-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 801 Publications have been cited 3,957 times in 3,043 Documents Cited by ▼ Year ▼ New results on the study of \(Z_q\)-equivariant planar polynomial vector fields. Zbl 1213.34059 Li, Jibin; Liu, Yirong 62 2010 Exact iterative solution for an abstract fractional dynamic system model for bioprocess. Zbl 1454.34023 Zhang, Xinguang; Mao, Cuiling; Liu, Lishan; Wu, Yonghong 57 2017 Uniform stability of a laminated beam with structural memory. Zbl 1383.74056 Lo, Assane; Tatar, Nasser-eddine 49 2016 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056 Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 47 2016 Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales. Zbl 1432.34116 Shah, Syed Omar; Zada, Akbar; Hamza, Alaa E. 46 2019 Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016 Schlomiuk, Dana; Vulpe, Nicolae 45 2004 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002 Llibre, Jaume; Zhang, Xiang 39 2012 Liouvillian integration of the Lotka-Volterra system. Zbl 1084.34001 Moulin Ollagnier, Jean 38 2002 Non-linear dynamics with non-standard Lagrangians. Zbl 1322.37037 El-Nabulsi, Ahmad Rami 37 2013 A survey on the inverse integrating factor. Zbl 1364.34005 García, Isaac A.; Grau, Maite 37 2010 Abelian integrals and limit cycles. Zbl 1270.34004 Li, Chengzhi 37 2012 Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011 Sotomayor, Jorge; Machado, Ana Lúcia F. 33 2002 The chain properties and average shadowing property of iterated function systems. Zbl 1392.37009 Wu, Xinxing; Wang, Lidong; Liang, Jianhua 33 2018 Isochronicity via normal form. Zbl 1021.34022 Algaba, Antonio; Freire, Emilio; Gamero, Estanislao 31 2000 Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system. Zbl 1508.76018 Gao, Xiao-Tian; Tian, Bo; Shen, Yuan; Feng, Chun-Hui 31 2022 Existence of positive periodic solutions for a neutral delay predator-prey model with Hassell-Varley type functional response and impulse. Zbl 1392.34089 Chen, Xiao; Du, Zengji 30 2018 Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022 Christopher, Colin; Rousseau, Christiane 30 2004 Slow divergence integral and balanced canard solutions. Zbl 1215.34063 Dumortier, Freddy 30 2011 Periodic solution and ergodic stationary distribution of SEIS dynamical systems with active and latent patients. Zbl 1426.34063 Qi, Haokun; Leng, Xiaona; Meng, Xinzhu; Zhang, Tonghua 29 2019 Stability and bifurcation analysis of an amensalism model with weak Allee effect. Zbl 1439.34056 Wei, Zhen; Xia, Yonghui; Zhang, Tonghua 27 2020 Non-standard non-local-in-time Lagrangians in classical mechanics. Zbl 1305.70043 El-Nabulsi, Rami Ahmad 26 2014 Further results on ultimate bound on the trajectories of the Lorenz system. Zbl 1338.65275 Zhang, Fuchen; Zhang, Guangyun 26 2016 Non-ergodicity of uniform quadratic stochastic operators. Zbl 1344.37093 Jamilov, Uygun; Ladra, Manuel 25 2016 Existence of positive solutions for a class of higher-order Caputo fractional differential equation. Zbl 1366.34013 Zhao, Kaihong; Gong, Ping 24 2015 Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077 Dang, Quang A.; Hoang, Manh Tuan 22 2019 Some lower bounds for \(H(n)\) in Hilbert’s 16th problem. Zbl 1050.34039 Li, Jibin; Chan, H. S. Y.; Chung, K. W. 22 2002 Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay. Zbl 1379.34072 Guendouzi, Toufik; Bousmaha, Lamia 21 2014 On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus. Zbl 0989.34018 Schlomiuk, Dana; Pal, Janos 21 2001 Quaternion-valued linear impulsive differential equations. Zbl 1470.34039 Suo, Leping; Fečkan, Michal; Wang, JinRong 20 2021 Center conditions for polynomial Liénard systems. Zbl 1392.34027 Giné, Jaume 20 2017 Centers for trigonometric Abel equations. Zbl 1264.34055 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 20 2012 Parameterized IFS with the asymptotic average shadowing property. Zbl 1372.37054 Fatehi Nia, Mehdi 19 2016 Exact Devaney chaos and entropy. Zbl 1119.37027 Kwietniak, Dominik; Misiurewicz, Michał 18 2005 Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin. Zbl 1311.34061 Buzzi, Claudio A.; Llibre, Jaume; Medrado, João C. R. 17 2009 Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations. Zbl 1514.37093 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 17 2023 Stability and monotonicity of Lotka-Volterra type operators. Zbl 1383.92072 Mukhamedov, Farrukh; Saburov, Mansoor 17 2017 Two tight independent set conditions for fractional \((g,f,m)\)-deleted graphs systems. Zbl 1390.05162 Gao, Wei; García Guirao, Juan Luis; Wu, Hualong 17 2018 Solving quaternion ordinary differential equations with two-sided coefficients. Zbl 1457.34002 Cai, Zhen Feng; Kou, Kit Ian 17 2018 Regular and singular reductions in the spatial three-body problem. Zbl 1282.70016 Palacián, Jesús F.; Sayas, Flora; Yanguas, Patricia 16 2013 Global dynamics and bifurcations of certain second order rational difference equation with quadratic terms. Zbl 1338.39008 Jašarević Hrustić, Sabina; Kulenović, M. R. S.; Nurkanović, M. 16 2016 Stability for a new discrete ratio-dependent predator-prey system. Zbl 1394.37122 Zhuo, Xiang-Lai; Zhang, Feng-Xue 16 2018 A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system. Zbl 1450.34008 Zhang, Bei; Zhu, Wenjing; Xia, Yonghui; Bai, Yuzhen 16 2020 Limit cycles for a class of continuous and discontinuous cubic polynomial differential systems. Zbl 1317.34040 Llibre, Jaume; Lopes, Bruno D.; De Moraes, Jaime R. 15 2014 On the vanishing set of inverse integrating factors. Zbl 1032.34027 Berrone, Lucio R.; Giacomini, Hector J. 15 2000 On stacked planar central configurations with five bodies when one body is removed. Zbl 1345.70016 Fernandes, Antonio Carlos; Mello, Luis Fernando 15 2013 A new algorithm for finding rational first integrals of polynomial vector fields. Zbl 1216.34001 Ferragut, Antoni; Giacomini, Héctor 15 2010 On the stability of linear quaternion-valued differential equations. Zbl 1483.34021 Chen, Dan; Fečkan, Michal; Wang, JinRong 15 2022 On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005 Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi 15 2019 Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation. Zbl 1543.35064 Gao, Xin-Yi 15 2024 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 15 2020 Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics. Zbl 1490.35315 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 14 2022 Puiseux integrability of differential equations. Zbl 1527.34006 Demina, Maria V.; Giné, Jaume; Valls, Claudia 14 2022 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033 Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 14 2003 On the distribution and number of limit cycles for quadratic systems with two foci. Zbl 1050.34036 Zhang, Pingguang 14 2002 Global stability of Beddington model. Zbl 1383.92065 Din, Qamar 14 2017 On the equivalence of the Melnikov functions method and the averaging method. Zbl 1392.34052 Buică, Adriana 14 2017 Existence of solutions for a singular double phase problem involving a \(\psi\)-Hilfer fractional operator via Nehari manifold. Zbl 1531.35371 Vanterler da C. Sousa, J.; Lima, Karla B.; Tavares, Leandro S. 14 2023 On the existence of central configurations of \(p\) nested \(n\)-gons. Zbl 1195.70018 Corbera, Montserrat; Delgado, Joaquin; Llibre, Jaume 14 2010 Cyclicity versus center problem. Zbl 1210.34049 Gasull, Armengol; Giné, Jaume 14 2010 Periodic perturbations of an isochronous center. Zbl 1043.34049 Ortega, Rafael 13 2002 Period function for perturbed isochronous centres. Zbl 1087.34021 Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 13 2002 On the equiprobable strictly non-Volterra quadratic stochastic operators. Zbl 1390.37090 Jamilov, U. U.; Ladra, M.; Mukhitdinov, R. T. 13 2017 Existence of kink waves and periodic waves for a perturbed defocusing mKdV equation. Zbl 1405.35183 Chen, Aiyong; Guo, Lina; Huang, Wentao 13 2018 Quadratic perturbations of a quadratic reversible Lotka-Volterra system. Zbl 1213.34071 Li, Chengzhi; Llibre, Jaume 13 2010 Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033 Devaney, Robert L. 13 2004 In the shallow water: auto-Bäcklund, hetero-Bäcklund and scaling transformations via a (2+1)-dimensional generalized Broer-Kaup system. Zbl 1543.35067 Gao, Xin-Yi 13 2024 Hilbert’s sixteenth problem for polynomial Liénard equations. Zbl 1272.34002 Caubergh, Magdalena 13 2012 Qualitative classification of singular points. Zbl 1131.34304 Jiang, Qibao; Llibre, Jaume 13 2005 On local diffeomorphisms of \(\mathbb{R}^n\) that are injective. Zbl 1067.37019 Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 12 2003 Limit cycles for planar piecewise linear differential systems via first integrals. Zbl 1047.34021 Llibre, Jaume; Nuñez, Eduardo; Teruel, Antonio E. 12 2002 Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. Zbl 1503.35161 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Du, Zhong; Chen, Yu-Qi 12 2022 Head-on collision between two hydroelastic solitary waves in shallow water. Zbl 1394.35346 Bhatti, M. M.; Lu, D. Q. 12 2018 Limit cycles bifurcated from a reversible quadratic center. Zbl 1142.34019 Li, Jinming 12 2005 A discrete-time model for consumer-resource interaction with stability, bifurcation and chaos control. Zbl 1471.39017 Din, Qamar; Khan, Muhammad Irfan 12 2021 Stacked central configurations for the spatial seven-body problem. Zbl 1282.70021 Mello, Luis Fernando; Fernandes, Antonio Carlos 11 2013 \(n-1\) independent first integrals for linear differential systems in \(\mathbb{R}^n\) or \(\mathbb{C}^n\). Zbl 1090.34002 Falconi, Manuel; Llibre, Jaume 11 2003 Melnikov functions and Bautin ideal. Zbl 1081.37030 Roussarie, Robert 11 2001 An SEIR epidemic model with relapse and general nonlinear incidence rate with application to media impact. Zbl 1402.34054 Wang, Lianwen; Zhang, Xingan; Liu, Zhijun 11 2018 Limit cycles in the discontinuous planar piecewise linear systems with three zones. Zbl 1486.34076 Li, Zhengkang; Liu, Xingbo 11 2021 Global behavior and bifurcation in a class of host-parasitoid models with a constant host refuge. Zbl 1441.39016 Kalabušić, S.; Drino, Dž.; Pilav, E. 11 2020 Ground state sign-changing solution for Schrödinger-Poisson system with critical growth. Zbl 1467.35139 Zhang, Ziheng; Wang, Ying; Yuan, Rong 11 2021 Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308 Caubergh, Magdalena; Françoise, Jean-Pierre 11 2004 Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory. Zbl 1467.35278 Chentouf, Boumediène 10 2021 Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics. Zbl 1502.37075 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 10 2022 Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\). Zbl 1417.37096 Guirao, Juan Luis García; Llibre, Jaume 10 2013 A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037 Chen, Xiaoyan; Han, Maoan 10 2020 Positive periodic solutions for a first order singular ordinary differential equation generated by impulses. Zbl 1404.34030 Nieto, Juan J.; Uzal, José M. 10 2018 The center problem for the Lotka reactions with generalized mass-action kinetics. Zbl 1402.34033 Boros, Balázs; Hofbauer, Josef; Müller, Stefan; Regensburger, Georg 10 2018 On a coupled impulsive fractional integrodifferential system with Hadamard derivatives. Zbl 1483.45006 Alam, Mehboob; Zada, Akbar; Riaz, Usman 10 2022 Existence and multiplicity of solutions for fractional \(\kappa(\xi)\)-Kirchhoff-type equation. Zbl 1526.35298 Sousa, J. Vanterler da C.; Kucche, Kishor D.; Nieto, Juan J. 10 2024 A note on the convergence of parametrised non-resonant invariant manifolds. Zbl 1209.37028 Johnson, Tomas; Tucker, Warwick 10 2011 Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044 Mamouhdi, Lylia; Roussarie, Robert 10 2012 A Reeb flow on the three-sphere without a disk-like global surface of Section. Zbl 1437.53059 van Koert, Otto 10 2020 Floquet theory for quaternion-valued differential equations. Zbl 1439.34019 Cheng, Dong; Kou, Kit Ian; Xia, Yong Hui 10 2020 Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076 Oliveira, Regilene; Zhao, Yulin 9 2014 Investigation of controllability and observability for linear quaternion-valued systems from its complex-valued systems. Zbl 1495.93016 Chen, Dan; Fečkan, Michal; Wang, JinRong 9 2022 Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions. Zbl 1509.34015 Waheed, Hira; Zada, Akbar; Rizwan, Rizwan; Popa, Ioan-Lucian 9 2022 2-D Duffing oscillator: elliptic functions from a dynamical systems point of view. Zbl 1270.33011 Molero, Francisco Javier; Lara, Martín; Ferrer, Sebastián; Céspedes, Francisco 9 2013 Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system. Zbl 1460.37068 Leta, Temesgen Desta; Liu, Wenjun; Achab, Abdelfattah El; Rezazadeh, Hadi; Bekir, Ahmet 9 2021 Convex energy levels of Hamiltonian systems. Zbl 1065.37044 Salomão, Pedro A. S. 9 2003 Averaging principle for McKean-Vlasov SDEs driven by FBMs. Zbl 1545.60044 Zhang, Tongqi; Xu, Yong; Feng, Lifang; Pei, Bin 1 2025 Morse predecomposition of an invariant set. Zbl 07950011 Lipiński, Michał; Mischaikow, Konstantin; Mrozek, Marian 1 2025 Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation. Zbl 1543.35064 Gao, Xin-Yi 15 2024 In the shallow water: auto-Bäcklund, hetero-Bäcklund and scaling transformations via a (2+1)-dimensional generalized Broer-Kaup system. 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Zbl 07840592 Pradeesh, J.; Vijayakumar, V. 4 2024 Soliton solutions and other solutions to the \((4+1)\)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation using modified extended mapping method. Zbl 1535.34004 Rabie, Wafaa B.; Khalil, Tarek A.; Badra, Niveen; Ahmed, Hamdy M.; Mirzazadeh, M.; Hashemi, M. S. 4 2024 An investigation on existence and optimal feedback control for fractional neutral stochastic evolution hemivariational inequalities. Zbl 1526.35301 Vivek, S.; Vijayakumar, V. 3 2024 Dynamics of predator-prey model based on fear effect with bifurcation analysis and chaos control. Zbl 1537.92080 Ishaque, Waqas; Din, Qamar; Khan, Khuram Ali; Mabela, Rostin Matendo 3 2024 Existence of periodic solutions for a class of dynamic equations with multiple time varying delays on time scales. Zbl 1527.34127 Agrawal, Divya; Abbas, Syed 3 2024 Lie-Bäcklund symmetry generators and a variety of novel periodic-soliton solutions to the complex-mode of modified Korteweg-de Vries equation. (Lie-Backlund symmetry generators and a variety of novel periodic-soliton solutions to the complex-mode of modified Korteweg-de Vries equation.) Zbl 07815922 Alquran, Marwan; Al-deiakeh, Rawya 3 2024 On a system of sequential Caputo-type \(p\)-Laplacian fractional BVPs with stability analysis. Zbl 1540.34035 Waheed, Hira; Zada, Akbar; Popa, Ioan-Lucian; Etemad, Sina; Rezapour, Shahram 3 2024 Modeling wave propagation with gravity and surface tension: soliton solutions for the generalized Hietarinta-type equation. Zbl 1535.35033 Khater, Mostafa M. A. 3 2024 Some new properties of the Mittag-Leffler functions and their applications to solvability and stability of a class of fractional Langevin differential equations. Zbl 1540.34011 Baghani, Hamid; Nieto, Juan J. 2 2024 Several continuities of a pullback random attractor for stochastic non-autonomous Zakharov lattice equations. Zbl 1536.37079 Li, Yangrong; Zhang, Lin 2 2024 Existence results for the solution of abstract neutral impulsive differential problems with state-dependent delay. Zbl 1530.34062 Pervaiz, Bakhtawar; Zada, Akbar 2 2024 Traveling wave solutions for two perturbed nonlinear wave equations with distributed delay. Zbl 1539.35027 Wang, Jundong; Zhang, Lijun; Huo, Xuwen; Ma, Na; Khalique, Chaudry Masood 2 2024 Hyers-Ulam stability of linear quaternion-valued differential equations with two-sided constant coefficients. Zbl 1540.34042 Lv, Jiaojiao; Wang, JinRong; Liu, Kui 2 2024 General solution to a nonlocal linear differential equation of first-order. Zbl 1545.34093 Ma, Wen-Xiu 2 2024 A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point. Zbl 1527.34055 Li, Feng; Chen, Ting; Liu, Yuanyuan; Yu, Pei 2 2024 Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions. Zbl 1548.34009 Alghanmi, Madeaha; Agarwal, Ravi P.; Ahmad, Bashir 2 2024 Wave propagation for a discrete diffusive mosquito-borne epidemic model. Zbl 1535.35031 Dang, Jiao; Zhang, Guo-Bao; Tian, Ge 2 2024 Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator. Zbl 1536.34072 Khan, Ishfaq; Zada, Akbar 2 2024 Stability analysis and existence criteria with numerical illustrations to fractional jerk differential system involving generalized Caputo derivative. Zbl 1536.34008 Matar, Mohammed M.; Samei, Mohammad Esmael; Etemad, Sina; Amara, Abdelkader; Rezapour, Shahram; Alzabut, Jehad 2 2024 Existence and Hyers-Ulam stability of jerk-type Caputo and Hadamard mixed fractional differential equations. Zbl 1540.34025 Ma, Yanli; Maryam, Maryam; Riaz, Usman; Popa, Ioan-Lucian; Ragoub, Lakhdar; Zada, Akbar 2 2024 A study on the approximate controllability of damped elastic systems using sequence method. Zbl 1528.34060 Gou, Haide; Li, Yongxiang 2 2024 Wave profile, Paul-Painlevé approaches and phase plane analysis to the generalized (3+1)-dimensional shallow water wave model. Zbl 1530.35101 Liu, Minghan; Manafian, Jalil; Singh, Gurpreet; Alsubaie, Abdullah Saad; Mahmoud, Khaled Hussein; Mustafayeva, Parvin 2 2024 Investigating the existence results for Hilfer fractional stochastic evolution inclusions of order \(1< \mu < 2\). Zbl 1530.34008 Pradeesh, J.; Vijayakumar, V. 2 2024 Dynamical analysis of an allelopathic phytoplankton model with fear effect. Zbl 07859964 Chen, Shangming; Chen, Fengde; Srivastava, Vaibhava; Parshad, Rana D. 1 2024 On the Bielecki-Hyers-Ulam stability of non-linear impulsive fractional Hammerstein and mixed integro-dynamic systems on time scales. Zbl 1544.45010 Shah, Syed Omar 1 2024 Canard cycles and homoclinic orbit of a Leslie-Gower predator-prey model with Allee effect and Holling type II functional response. Zbl 1544.34095 Shi, Tianyu; Wen, Zhenshu 1 2024 Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics. Zbl 1526.35111 Wang, Dong; Gao, Yi-Tian; Yu, Xin; Deng, Gao-Fu; Liu, Fei-Yan 1 2024 Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation. Zbl 1526.39008 Wang, Jiangnan; Wang, JinRong; Liu, Rui 1 2024 Boundedness in a two-species chemotaxis system with nonlinear resource consumption. Zbl 1527.92013 Ou, Houzuo; Wang, Liangchen 1 2024 Measure-theoretic uniformly positive entropy on the space of probability measures. Zbl 07759313 Vermersch, Rômulo M. 1 2024 On the asymptotic stability of Hilfer fractional neutral stochastic differential systems with infinite delay. Zbl 1542.34060 Pradeesh, J.; Vijayakumar, V. 1 2024 The dynamical behavior analysis and the traveling wave solutions of the stochastic Sasa-Satsuma equation. Zbl 1542.34027 Liu, Chunyan; Li, Zhao 1 2024 Breather transitions and their mechanisms of a (2+1)-dimensional sine-Gordon equation and a modified Boussinesq equation in nonlinear dynamics. Zbl 1542.35111 Gao, Qian; Tian, Shou-Fu; Liu, Ji-Chuan; Wu, Yan-Qiang 1 2024 Impact of fear on searching efficiency of first species: a two species Lotka-Volterra competition model with weak Allee effect. Zbl 1540.34097 Zhu, Qun; Chen, Fengde 1 2024 Normalized solutions to the fractional Schrödinger equation with critical growth. Zbl 1541.35220 Shen, Xinsi; Lv, Ying; Ou, Zengqi 1 2024 Mathematical modelling of HIV/AIDS treatment using Caputo-Fabrizio fractional differential systems. Zbl 1540.34095 Manikandan, S.; Gunasekar, T.; Kouidere, A.; Venkatesan, K. A.; Shah, Kamal; Abdeljawad, Thabet 1 2024 Integrable \((3 + 1)\)-dimensional generalization for the dispersionless Davey-Stewartson system. Zbl 1547.76019 Pan-Collantes, Antonio J. 1 2024 Turing patterns induced by cross-diffusion in a predator-prey system with functional response of Holling-II type. Zbl 1537.35054 Yan, Xiang-Ping; Yang, Tong-Jie; Zhang, Cun-Hua 1 2024 Relative controllability and Hyers-Ulam stability of Riemann-Liouville fractional delay differential system. Zbl 1543.34091 An, Wangmin; Luo, Danfeng; Huang, Jizhao 1 2024 Hadamard fractional differential equations on an unbounded domain with integro-initial conditions. Zbl 07851491 Nyamoradi, Nemat; Ahmad, Bashir 1 2024 Extended Lie method for mixed fractional derivatives, unconventional invariants and reduction, conservation laws and acoustic waves propagated via nonlinear dispersive equation. Zbl 1542.35416 Gupta, Rajesh Kumar; Yadav, Poonam 1 2024 On a coupled system of nonlinear generalized fractional differential equations with nonlocal coupled Riemann-Stieltjes boundary conditions. Zbl 1548.34004 Ahmad, Bashir; Alsaedi, Ahmed; Aljahdali, Areej S. 1 2024 Hilbert number for a family of piecewise nonautonomous equations. Zbl 1540.34044 Bravo, J. L.; Fernández, M.; Ojeda, I. 1 2024 Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay. Zbl 1539.34078 Ait Dads, El Hadi; Es-sebbar, Brahim; Fatajou, Samir; Zizi, Zakaria 1 2024 Bifurcation analysis and soliton solutions to the Kuralay equation via dynamic system analysis method and complete discrimination system method. Zbl 1537.34057 Liu, Jing; Li, Zhao 1 2024 On necessary and sufficient conditions for the real Jacobian conjecture. Zbl 1529.58004 Tian, Yuzhou; Zhao, Yulin 1 2024 Khasminskii approach for \(\psi\)-Caputo fractional stochastic pantograph problem. Zbl 1535.34068 Alqudah, Manar A.; Boulares, Hamid; Abdalla, Bahaaeldin; Abdeljawad, Thabet 1 2024 Existence of traveling wave solutions for the perturbed modefied Gardner equation. Zbl 1534.35066 Qi, Yao; Tian, Yu; Jiang, Yuheng 1 2024 Oscillation criteria for even-order nonlinear dynamic equations with sublinear and superlinear neutral terms on time scales. Zbl 1539.34090 Alzabut, Jehad; Grace, Said R.; Santra, Shyam Sundar; Samei, Mohammad Esmael 1 2024 Theory and computation of radial solutions for Neumann problems with \(\phi\)-Laplacian. Zbl 1534.35187 Precup, Radu; Gheorghiu, Călin-Ioan 1 2024 Stability and numerical analysis of a coupled system of piecewise Atangana-Baleanu fractional differential equations with delays. Zbl 1535.34066 Almalahi, Mohammed A.; Aldwoah, K. A.; Shah, Kamal; Abdeljawad, Thabet 1 2024 Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation. Zbl 1537.35318 Zhang, Xiao-Fan; Tian, Shou-Fu; Yang, Jin-Jie; Zhang, Tian-Tian 1 2024 An extension to direct method of Clarkson and Kruskal and Painlavé analysis for the system of variable coefficient nonlinear partial differential equations. Zbl 1536.35023 Gupta, Rajesh Kumar; Sharma, Manjeet 1 2024 Analysis of a coupled system of \(\psi\)-Caputo fractional derivatives with multipoint-multistrip integral type boundary conditions. Zbl 1544.34012 Khan, Haroon Niaz Ali; Zada, Akbar; Khan, Ishfaq 1 2024 Bazykin’s predator-prey model includes a dynamical analysis of a Caputo fractional order delay fear and the effect of the population-based mortality rate on the growth of predators. Zbl 1537.34086 Kumar, G. Ranjith; Ramesh, K.; Khan, Aziz; Lakshminarayan, K.; Abdeljawad, Thabet 1 2024 Riemann-Hilbert approach for the complex Sharma-Tasso-Olver equation with high-order poles. Zbl 1547.35485 Liu, Mengdie; Li, Biao 1 2024 Dynamics and Wong-Zakai approximations of stochastic nonlocal PDEs with long time memory. Zbl 1543.35303 Xu, Jiaohui; Caraballo, Tomás; Valero, José 1 2024 Admissibility via induced delay equations. Zbl 07881044 Barreira, Luís; Valls, Claudia 1 2024 A novel fractional-order cascade tri-neuron Hopfield neural network: stability, bifurcations, and chaos. Zbl 07888029 Kumar, Pushpendra; Lee, Tae H.; Erturk, Vedat Suat 1 2024 Global asymptotic stability of a hybrid differential-difference system describing SIR and SIS epidemic models with a protection phase and a nonlinear force of infection. Zbl 1528.34066 Adimy, Mostafa; Chekroun, Abdennasser; Dugourd-Camus, Charlotte; Meghelli, Hanene 1 2024 Characterizing quadratic convection and electromagnetically induced flow of couple stress fluids in microchannels. Zbl 1528.76110 Zhang, Lijun; Bhatti, M. M.; Michaelides, Efstathios E.; Ellahi, R. 1 2024 Normalized ground state solutions for critical growth Schrödinger equations. Zbl 1529.35160 Fan, Song; Li, Gui-Dong 1 2024 Analysis of neutral stochastic fractional differential equations involving Riemann-Liouville fractional derivative with retarded and advanced arguments. Zbl 1532.34083 Saifullah, Shahid; Shahid, Sumbel; Zada, Akbar 1 2024 Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection. Zbl 1528.34031 Artés, Joan C. 1 2024 Understanding cannibalism dynamics in predator-prey interactions: bifurcations and chaos control strategies. Zbl 1530.39011 Shabbir, Muhammad Sajjad; Din, Qamar 1 2024 Approximate controllability for Hilfer fractional stochastic non-instantaneous impulsive differential system with Rosenblatt process and Poisson jumps. Zbl 1530.34055 Gokul, G.; Udhayakumar, R. 1 2024 Controllability of Prabhakar fractional dynamical systems. Zbl 1532.37078 Ansari, Md Samshad Hussain; Malik, Muslim; Baleanu, Dumitru 1 2024 Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms. Zbl 1541.34076 Chen, Pengyu; Feng, Wei 1 2024 On a fractal-fractional-based modeling for influenza and its analytical results. Zbl 1532.34057 Khan, Hasib; Rajpar, Altaf Hussain; Alzabut, Jehad; Aslam, Muhammad; Etemad, Sina; Rezapour, Shahram 1 2024 Trajectory controllability of impulsive neutral stochastic functional integrodifferential equations driven by fBm with noncompact semigroup via Mönch fixed point. Zbl 1531.35011 Kasinathan, Ramkumar; Kasinathan, Ravikumar; Chalishajar, Dimplekumar; Sandrasekaran, Varshini; Baleanu, Dumitru 1 2024 Super-explosion and inverse canard explosion in a piecewise-smooth slow-fast Leslie-Gower model. Zbl 1532.34058 Zhang, Huiping; Cai, Yuhua; Shen, Jianhe 1 2024 Existence and approximate controllability results for the second-order abstract neutral differential system with damping. Zbl 1530.93031 Kavitha Williams, W.; Vijayakumar, V. 1 2024 Positive solutions of indefinite semipositone elliptic problems. Zbl 1532.35152 Ma, Ruyun; Zhang, Yali; Zhu, Yan 1 2024 Ground state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growth. Zbl 1533.35109 Huang, Xiao-Qing; Liao, Jia-Feng; Liu, Rui-Qi 1 2024 Bifurcation, phase portrait and traveling wave solutions of the coupled fractional Lakshmanan-Porsezian-Daniel equation. Zbl 1533.35352 Liu, Jing; Li, Zhao; He, Lin; Liu, Wei 1 2024 Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations. Zbl 1514.37093 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 17 2023 Existence of solutions for a singular double phase problem involving a \(\psi\)-Hilfer fractional operator via Nehari manifold. Zbl 1531.35371 Vanterler da C. Sousa, J.; Lima, Karla B.; Tavares, Leandro S. 14 2023 Bilinear form, bilinear Bäcklund transformations, breather and periodic-wave solutions for a \((2+1)\)-dimensional shallow water equation with the time-dependent coefficients. Zbl 1529.35516 Feng, Chun-Hui; Tian, Bo; Yang, Dan-Yu; Gao, Xiao-Tian 9 2023 Well-posedness of inverse Sturm-Liouville problem with fractional derivative. Zbl 1518.34020 Koyunbakan, Hikmet; Shah, Kamal; Abdeljawad, Thabet 8 2023 Fibonacci wavelet collocation method for Fredholm integral equations of second kind. Zbl 1515.65337 Yadav, Pooja; Jahan, Shah; Nisar, K. S. 8 2023 Breather wave solutions for the \((3+1)\)-D generalized shallow water wave equation with variable coefficients. Zbl 1522.35400 Dawod, Lafta Abed; Lakestani, Mehrdad; Manafian, Jalil 7 2023 Analysis on the controllability of Hilfer fractional neutral differential equations with almost sectorial operators and infinite delay via measure of noncompactness. Zbl 1512.34138 Bose, C. S. Varun; Udhayakumar, R. 6 2023 Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation. Zbl 1522.35143 Ma, Yu-Lan; Li, Bang-Qing 6 2023 Dynamical analysis of a discrete amensalism system with the Beddington-DeAngelis functional response and Allee effect for the unaffected species. Zbl 1514.37110 Zhou, Qimei; Chen, Fengde 5 2023 Existence of periodic solutions to quaternion-valued impulsive differential equations. Zbl 1512.34090 Suo, Leping; Fečkan, Michal; Wang, JinRong 5 2023 Generalized fractional differential systems with Stieltjes boundary conditions. Zbl 1514.34022 Nyamoradi, Nemat; Ahmad, Bashir 5 2023 Discussion on existence of mild solutions for Hilfer fractional neutral stochastic evolution equations via almost sectorial operators with delay. Zbl 1516.34114 Sivasankar, S.; Udhayakumar, R. 5 2023 SIR model with vaccination: bifurcation analysis. Zbl 1530.37109 Maurício de Carvalho, João P. S.; Rodrigues, Alexandre A. 5 2023 On existence and continuity results of solution for multi-time scale fractional stochastic differential equation. Zbl 1515.34009 Alkhazzan, Abdulwasea; Wang, Jungang; Tunç, Cemil; Ding, Xiaoli; Yuan, Zhanbin; Nie, Yufeng 5 2023 Discussion on the approximate controllability of nonlocal fractional derivative by Mittag-Leffler kernel to stochastic differential systems. Zbl 1508.93032 Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Sooppy Nisar, Kottakkaran 4 2023 Hyers-Ulam stability of linear recurrence with constant coefficients over the quaternion skew yield. Zbl 1507.39009 Zou, Yuqun; Fečkan, Michal; Wang, JinRong 4 2023 On implicit \(k\)-generalized \(\psi\)-Hilfer fractional differential coupled systems with periodic conditions. Zbl 1516.34020 Salim, Abdelkrim; Benchohra, Mouffak; Lazreg, Jamal Eddine 4 2023 ...and 701 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,605 Authors 128 Llibre, Jaume 61 Giné, Jaume 51 Valls Anglés, Cláudia 50 Zada, Akbar 42 Han, Maoan 35 Wang, Jinrong 32 El-Nabulsi, Rami Ahmad 30 Algaba, Antonio 30 Gasull, Armengol 29 Vulpe, Nicolae I. 29 Xia, Yonghui 27 Yu, Pei 26 Schlomiuk, Dana I. 25 Wu, Yonghong 24 García, Cristóbal 24 Zhang, Xinguang 23 Jamilov, Uygun U. 23 Zhang, Xiang 22 Gao, Xinyi 22 Liu, Changjian 21 García, Isaac A. 21 Vijayakumar, Velusamy 20 Huzak, Renato 19 Tian, Bo 18 Artés, Joan Carles 18 Cui, Yujun 18 Liu, Lishan 18 Torregrosa, Joan 18 Zhang, Fuchen 17 Fečkan, Michal 17 Hoang, Manh Tuan 17 Reyes, Manuel 17 Romanovskiĭ, Valeriĭ Georgievich 17 Vidal, Claudio 16 Guo, Yongjiang 16 Li, Feng 16 Shan, Wenrui 15 Mello, Luis Fernando O. 15 Shah, Syed Omar 15 Wu, Xinxing 14 De Maesschalck, Peter 14 Oliveira, Regilene D. 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