## Qualitative Theory of Dynamical Systems

 Short Title: Qual. Theory Dyn. Syst. Publisher: Springer (Birkhäuser), Basel ISSN: 1575-5460; 1662-3592/e Online: http://link.springer.com/journal/volumesAndIssues/12346 Comments: Indexed cover-to-cover
 Documents Indexed: 707 Publications (since 2000) References Indexed: 670 Publications with 15,708 References.
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### Latest Issues

 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)
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### Authors

 27 Llibre, Jaume 14 Xia, Yonghui 11 Vidal, Claudio 10 Gasull, Armengol 9 Giné, Jaume 9 Valls Anglés, Cláudia 7 García Guirao, Juan Luis 7 Lacomba, Ernesto A. 7 Vulpe, Nicolae I. 6 Algaba, Antonio 6 Falconi, Manuel J. 6 Han, Maoan 6 Li, Jibin 6 Pérez-Chavela, Ernesto 6 Roussarie, Robert 6 Rousseau, Christiane 6 Schlomiuk, Dana I. 6 Zada, Akbar 6 Zhang, Xiang 5 Alvarez-Ramírez, Martha 5 Cima, Anna 5 Corbera, Montserrat 5 Cors, Josep Maria 5 Du, Zengji 5 Dumortier, Freddy 5 El-Nabulsi, Rami Ahmad 5 Sun, Taixiang 5 Wang, Jinrong 5 Xi, Hongjian 5 Yang, Xiaosong 4 Addas-Zanata, Salvador 4 Bessa, Mário 4 Fernandes, Antonio Carlos 4 Françoise, Jean-Pierre 4 García, Cristóbal 4 Mello, Luis Fernando O. 4 Moulin Ollagnier, Jean 4 Ren, Yong 4 Wu, Xinxing 4 Xu, Junxiang 4 Yang, Jiazhong 4 Yang, Jihua 3 Anderson, Douglas Robert 3 Askri, Ghassen 3 Bai, Yuzhen 3 Barreira, Luis Manuel 3 Bautista, Serafín 3 Bengochea, Abimael 3 Bujac, Cristina 3 Carrião, Paulo Cesar 3 Chang, Lina 3 Crespo, Francisco 3 de Carvalho, Maria Pires 3 Ferragut, Antoni 3 Ferrer, Sebastián 3 Freire Macías, Emilio 3 Gidea, Marian 3 Gomes, Maria Elasir Seabra 3 Guillamon, Antoni 3 Guíñez, Víctor 3 Hattab, Hawete 3 Huang, Wentao 3 Jamilov, Uygun U. 3 Jiang, Fangfang 3 Kong, Fanchao 3 Ladra González, Manuel 3 Leta, Temesgen Desta 3 Li, Chengzhi 3 Li, Zhiming 3 Liang, Haihua 3 Liu, Hanze 3 Liu, Jiang 3 Liz, Eduardo 3 Mañosas, Francesc 3 Medina, Mario 3 Meng, Xinzhu 3 Misiurewicz, Michał 3 Molero, Francisco Javier 3 Mukhamedov, Farruh Maksutovich 3 Nieto Roig, Juan Jose 3 Piña, Eduardo G. 3 Qin, Bin 3 Rabanal, Roland 3 Rozikov, Utkir A. 3 Ruas, Antonio Augusto Gaspar 3 Saker, Samir H. 3 Simó, Carles 3 Sirvent, Víctor F. 3 Sotomayor, Jorge 3 Sugie, Jitsuro 3 Tal, Fábio Armando 3 Torregrosa, Joan 3 Vera López, Juan Antonio 3 Villadelprat, Jordi 3 Walcher, Sebastian 3 Yomdin, Yosef 3 Yu, Jiang 3 Zhang, Tonghua 3 Zhu, Wenjing 2 Abbas, Syed ...and 915 more Authors
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### Fields

 351 Ordinary differential equations (34-XX) 345 Dynamical systems and ergodic theory (37-XX) 110 Mechanics of particles and systems (70-XX) 55 Partial differential equations (35-XX) 52 Biology and other natural sciences (92-XX) 42 Operator theory (47-XX) 28 Difference and functional equations (39-XX) 23 Differential geometry (53-XX) 23 General topology (54-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Probability theory and stochastic processes (60-XX) 14 Numerical analysis (65-XX) 12 Real functions (26-XX) 11 Algebraic geometry (14-XX) 11 Measure and integration (28-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Manifolds and cell complexes (57-XX) 10 Fluid mechanics (76-XX) 9 Systems theory; control (93-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 5 Commutative algebra (13-XX) 5 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

403 Publications have been cited 1,844 times in 1,563 Documents Cited by Year
Exact iterative solution for an abstract fractional dynamic system model for bioprocess. Zbl 1454.34023
Zhang, Xinguang; Mao, Cuiling; Liu, Lishan; Wu, Yonghong
2017
New results on the study of $$Z_q$$-equivariant planar polynomial vector fields. Zbl 1213.34059
Li, Jibin; Liu, Yirong
2010
Liouvillian integration of the Lotka-Volterra system. Zbl 1084.34001
Moulin Ollagnier, Jean
2002
Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056
Han, Maoan; Romanovski, Valery G.; Zhang, Xiang
2016
Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016
Schlomiuk, Dana; Vulpe, Nicolae
2004
Isochronicity via normal form. Zbl 1021.34022
Algaba, Antonio; Freire, Emilio; Gamero, Estanislao
2000
Abelian integrals and limit cycles. Zbl 1270.34004
Li, Chengzhi
2012
On the Darboux integrability of polynomial differential systems. Zbl 1266.34002
Llibre, Jaume; Zhang, Xiang
2012
Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022
Christopher, Colin; Rousseau, Christiane
2004
Non-linear dynamics with non-standard Lagrangians. Zbl 1322.37037
2013
A survey on the inverse integrating factor. Zbl 1364.34005
García, Isaac A.; Grau, Maite
2010
The chain properties and average shadowing property of iterated function systems. Zbl 1392.37009
Wu, Xinxing; Wang, Lidong; Liang, Jianhua
2018
Existence of positive solutions for a class of higher-order Caputo fractional differential equation. Zbl 1366.34013
Zhao, Kaihong; Gong, Ping
2015
Slow divergence integral and balanced canard solutions. Zbl 1215.34063
Dumortier, Freddy
2011
Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011
Sotomayor, Jorge; Machado, Ana Lúcia F.
2002
Further results on ultimate bound on the trajectories of the Lorenz system. Zbl 1338.65275
Zhang, Fuchen; Zhang, Guangyun
2016
Some lower bounds for $$H(n)$$ in Hilbert’s 16th problem. Zbl 1050.34039
Li, Jibin; Chan, H. S. Y.; Chung, K. W.
2002
Uniform stability of a laminated beam with structural memory. Zbl 1383.74056
Lo, Assane; Tatar, Nasser-eddine
2016
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
2018
On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus. Zbl 0989.34018
Schlomiuk, Dana; Pal, Janos
2001
Non-standard non-local-in-time Lagrangians in classical mechanics. Zbl 1305.70043
2014
Exact Devaney chaos and entropy. Zbl 1119.37027
Kwietniak, Dominik; Misiurewicz, Michał
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.
2009
Centers for trigonometric Abel equations. Zbl 1264.34055
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2012
Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay. Zbl 1379.34072
Guendouzi, Toufik; Bousmaha, Lamia
2014
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.
2014
Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077
Dang, Quang A.; Hoang, Manh Tuan
2019
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.
2019
Parameterized IFS with the asymptotic average shadowing property. Zbl 1372.37054
Fatehi Nia, Mehdi
2016
A new algorithm for finding rational first integrals of polynomial vector fields. Zbl 1216.34001
Ferragut, Antoni; Giacomini, Héctor
2010
Stability for a new discrete ratio-dependent predator-prey system. Zbl 1394.37122
Zhuo, Xiang-Lai; Zhang, Feng-Xue
2018
Two tight independent set conditions for fractional $$(g,f,m)$$-deleted graphs systems. Zbl 1390.05162
Gao, Wei; García Guirao, Juan Luis; Wu, Hualong
2018
Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033
Devaney, Robert L.
2004
Center conditions for polynomial Liénard systems. Zbl 1392.34027
Giné, Jaume
2017
On the vanishing set of inverse integrating factors. Zbl 1032.34027
Berrone, Lucio R.; Giacomini, Hector J.
2000
Period function for perturbed isochronous centres. Zbl 1087.34021
Freire, Emilio; Gasull, Armengol; Guillamon, Antoni
2002
On local diffeomorphisms of $$\mathbb{R}^n$$ that are injective. Zbl 1067.37019
Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland
2003
Regular and singular reductions in the spatial three-body problem. Zbl 1282.70016
Palacián, Jesús F.; Sayas, Flora; Yanguas, Patricia
2013
On the existence of central configurations of $$p$$ nested $$n$$-gons. Zbl 1195.70018
Corbera, Montserrat; Delgado, Joaquin; Llibre, Jaume
2010
On stacked planar central configurations with five bodies when one body is removed. Zbl 1345.70016
Fernandes, Antonio Carlos; Mello, Luis Fernando
2013
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
2020
Cyclicity versus center problem. Zbl 1210.34049
Gasull, Armengol; Giné, Jaume
2010
Stacked central configurations for the spatial seven-body problem. Zbl 1282.70021
Mello, Luis Fernando; Fernandes, Antonio Carlos
2013
Limit cycles bifurcated from a reversible quadratic center. Zbl 1142.34019
Li, Jinming
2005
Non-ergodicity of uniform quadratic stochastic operators. Zbl 1344.37093
2016
Qualitative classification of singular points. Zbl 1131.34304
Jiang, Qibao; Llibre, Jaume
2005
Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308
Caubergh, Magdalena; Françoise, Jean-Pierre
2004
Melnikov functions and Bautin ideal. Zbl 1081.37030
Roussarie, Robert
2001
A note on the convergence of parametrised non-resonant invariant manifolds. Zbl 1209.37028
Johnson, Tomas; Tucker, Warwick
2011
Hilbert’s sixteenth problem for polynomial Liénard equations. Zbl 1272.34002
Caubergh, Magdalena
2012
Periodic perturbations of an isochronous center. Zbl 1043.34049
Ortega, Rafael
2002
The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033
Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi
2003
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
2019
Global stability of Beddington model. Zbl 1383.92065
Din, Qamar
2017
Li, Chengzhi; Llibre, Jaume
2010
On the equivalence of the Melnikov functions method and the averaging method. Zbl 1392.34052
2017
Algebraic closure of a rational function. Zbl 1121.13301
Moulin Ollagnier, Jean
2004
Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076
Oliveira, Regilene; Zhao, Yulin
2014
Limit cycles for planar piecewise linear differential systems via first integrals. Zbl 1047.34021
Llibre, Jaume; Nuñez, Eduardo; Teruel, Antonio E.
2002
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.
2016
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
2013
A four-body convex central configuration with perpendicular diagonals is necessarily a kite. Zbl 1402.70012
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
2018
A note on higher order Melnikov functions. Zbl 1144.34024
Jebrane, Ahmed; Żołądek, Henryk
2005
Perturbation of a period annulus bounded by a heteroclinic loop connecting two hyperbolic saddles. Zbl 1385.37077
Sun, Xianbo
2017
Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi
2000
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
2013
On the distribution and number of limit cycles for quadratic systems with two foci. Zbl 1050.34036
Zhang, Pingguang
2002
$$n-1$$ independent first integrals for linear differential systems in $$\mathbb{R}^n$$ or $$\mathbb{C}^n$$. Zbl 1090.34002
Falconi, Manuel; Llibre, Jaume
2003
Convex energy levels of Hamiltonian systems. Zbl 1065.37044
Salomão, Pedro A. S.
2003
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
2020
The fixed point approach to the stability of fractional differential equations with causal operators. Zbl 1343.34016
Jiang, Jingfei; Cao, Dengqing; Chen, Huatao
2016
Uniqueness of limit cycles for a class of planar vector fields. Zbl 1135.34022
Carletti, Timoteo
2005
Positive periodic solutions for a kind of first-order singular differential equation induced by impulses. Zbl 1402.34029
Kong, Fanchao; Luo, Zhiguo
2018
The center problem for the Lotka reactions with generalized mass-action kinetics. Zbl 1402.34033
Boros, Balázs; Hofbauer, Josef; Müller, Stefan; Regensburger, Georg
2018
Positive periodic solutions for a first order singular ordinary differential equation generated by impulses. Zbl 1404.34030
Nieto, Juan J.; Uzal, José M.
2018
On the exponential stability of discrete semigroups. Zbl 1336.47047
2015
The slow invariant manifold of the Lorenz-Krishnamurthy model. Zbl 1325.34062
Ginoux, Jean-Marc
2014
Co-circular and co-spherical kite central configurations. Zbl 1307.70007
Mello, Luis Fernando; Fernandes, Antonio Carlos
2011
On the Dulac functions. Zbl 1220.34050
Osuna, Osvaldo; Villaseñor, Gabriel
2011
Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044
Mamouhdi, Lylia; Roussarie, Robert
2012
Nilpotent systems admitting an algebraic inverse integrating factor over $$\mathbb{C}((x,y))$$. Zbl 1267.34002
Algaba, Antonio; García, Cristóbal; Reyes, Manuel
2011
Computing simplest normal forms for the Takens-Bogdanov singularity. Zbl 1050.34052
Algaba, Antonio
2002
The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature. Zbl 1163.70004
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
2008
On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005
Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi
2019
Stability and bifurcation analysis of an amensalism model with weak allee effect. Zbl 1439.34056
Wei, Zhen; Xia, Yonghui; Zhang, Tonghua
2020
Dynamical behavior of singular traveling waves of ($$n+1$$)-dimensional nonlinear Klein-Gordon equation. Zbl 1418.34089
Feng, Dahe; Li, Jibin; Jiao, Jianjun
2019
Canards existence in Memristor’s circuits. Zbl 1370.34111
Ginoux, Jean-Marc; Llibre, Jaume
2016
Geometry of weak stability boundaries. Zbl 1270.70027
Belbruno, Edward A.; Gidea, Marian; Topputo, Francesco
2013
Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position. Zbl 1135.34020
Şubă, Alexandru; Cozma, Dumitru
2005
Maximal invariant sets for restrictions of tent and unimodal maps. Zbl 1064.37033
Moreira, Carlos Gustavo
2002
Global dynamics of mechanical systems with cubic potentials. Zbl 1134.70310
Falconi, M.; Lacomba, E. A.; Vidal, C.
2002
A minimum principle for Lyapunov exponents and a higher-dimensional version of a theorem of Mañé. Zbl 1122.37024
Cao, Yongluo; Luzzatto, Stefano; Rios, Isabel
2004
Corrections and complements to “Liouvillian integration of the Lotka-Volterra system”. Zbl 1137.34303
Moulin-Ollagnier, Jean
2004
Box dimension of spiral trajectories of some vector fields in $$\mathbb R^3$$. Zbl 1220.37034
Žubrinić, Darko; Županović, Vesna
2005
Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044
Bi, Qiaoyan; Xu, Junxiang
2014
Solution of the problem of the centre for a cubic differential system with three invariant straight lines. Zbl 0994.34021
Cozma, Dumitru; Şubă, Alexandru
2001
On the entropy of conservative flows. Zbl 1209.37029
Bessa, Mário; Varandas, Paulo
2011
Controlled invariant hypersurfaces of polynomial control systems. Zbl 1255.93043
Zerz, Eva; Walcher, Sebastian
2012
On double boundary equilibrium bifurcations in piecewise smooth planar systems. Zbl 1264.34074
Pagano, Daniel J.; Ponce, Enrique; Torres, Francisco
2011
On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035
Roussarie, Robert; Schlomiuk, Dana
2002
Nonequilibrium in thermodynamic formalism: the second law, gases and information geometry. Zbl 07452050
Lopes, A. O.; Ruggiero, R.
2022
Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure. Zbl 07434854
Souza, Rafael Rigão; Vargas, Victor
2022
Noninstantaneous impulsive conformable fractional stochastic delay integro-differential system with Rosenblatt process and control function. Zbl 1480.93033
Ahmed, Hamdy M.
2022
Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory. Zbl 1467.35278
Chentouf, Boumediène
2021
Topological average shadowing property on uniform spaces. Zbl 1470.37032
2021
On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria. Zbl 1461.34027
Huan, Song-Mei
2021
Travelling wave solutions of the general regularized long wave equation. Zbl 1472.34006
Zheng, Hang; Xia, Yonghui; Bai, Yuzhen; Wu, Luoyi
2021
The existence of Aubry-Mather sets for the Fermi-Ulam model. Zbl 1464.37050
Cao, Zhenbang; Grebogi, Celso; Li, Denghui; Xie, Jianhua
2021
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
2021
Global effect of non-conservative perturbations on homoclinic orbits. Zbl 1459.37050
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell
2021
Keplerian orbits through the Conley-Zehnder index. Zbl 07302073
Kavle, Henry; Offin, Daniel; Portaluri, Alessandro
2021
Polynomial entropy for interval maps and lap number. Zbl 1468.37038
Barbosa Gomes, José; Dias Carneiro, Mário Jorge
2021
Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions. Zbl 1467.34042
Duignan, Nathan
2021
Periodic points of regular curve homeomorphisms. Zbl 1470.37036
Daghar, Aymen; Naghmouchi, Issam; Riahi, Moncef
2021
Quaternion-valued linear impulsive differential equations. Zbl 1470.34039
Suo, Leping; Fečkan, Michal; Wang, JinRong
2021
Families of symmetric exchange orbits in the planar $$(1+2n)$$-body problem. Zbl 07358628
Bengochea, Abimael; Galán-Vioque, Jorge; Pérez-Chavela, Ernesto
2021
Metric versus topological receptive entropy of semigroup actions. Zbl 1475.37023
Biś, Andrzej; Dikranjan, Dikran; Giordano Bruno, Anna; Stoyanov, Luchezar
2021
Traveling wave solutions of generalized Dullin-Gottwald-Holm equation with parabolic law nonlinearity. Zbl 1477.34064
Zhang, Yijian; Xia, Yonghui
2021
Hetero-Bäcklund transformation, bilinear forms and $$N$$ solitons for a generalized three-coupled Korteweg-de Vries system. Zbl 1477.35218
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
2021
Analytical traveling wave and soliton solutions of the $$(2+1)$$ dimensional generalized Burgers-Huxley equation. Zbl 1481.34006
Leta, Temesgen Desta; Liu, Wenjun; Rezazadeh, Hadi; Ding, Jian; El Achab, Abdelfattah
2021
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
2020
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
2020
Stability and bifurcation analysis of an amensalism model with weak allee effect. Zbl 1439.34056
Wei, Zhen; Xia, Yonghui; Zhang, Tonghua
2020
Existence and stability of weighted pseudo almost automorphic solution of dynamic equation on time scales with weighted Stepanov-like $$(S^p)$$ pseudo almost automorphic coefficients. Zbl 1439.34082
Dhama, Soniya; Abbas, Syed
2020
Affine-periodic solutions for impulsive differential systems. Zbl 1451.34052
Wang, Chuanbiao; Yang, Xue; Chen, Xusheng
2020
Shadowing property and invariant measures having full supports. Zbl 1473.37022
Moriyasu, Kazumine; Sakai, Kazuhiro; Sumi, Naoya
2020
A note on the periodic structure of transversal maps on the torus and products of spheres. Zbl 1444.37019
Sirvent, Víctor F.
2020
A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037
Chen, Xiaoyan; Han, Maoan
2020
Analysis of the predator-prey interactions: a stochastic model incorporating disease invasion. Zbl 1437.34058
Feng, Tao; Meng, Xinzhu; Zhang, Tonghua; Qiu, Zhipeng
2020
Pointwise recurrence on local dendrites. Zbl 1432.37033
2020
New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity. Zbl 1437.37077
Wu, Dong-Lun; Yu, Xiang
2020
Symmetry reductions, dynamical behavior and exact explicit solutions to a class of nonlinear shallow water wave equation. Zbl 1437.37101
Chang, Lina; Liu, Hanze; Zhang, Lijun
2020
A note on the Lyapunov and period constants. Zbl 1447.34030
Cima, A.; Gasull, A.; Mañosas, F.
2020
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.
2020
Distributional chaos on uniform spaces. Zbl 1432.37035
Shah, Sejal; Das, Tarun; Das, Ruchi
2020
Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces. Zbl 1450.34054
Hao, Xinan; Liu, Lishan
2020
Dong, Meihua; Jung, Woochul; Morales, Carlos
2020
Existence of solitary wave solutions for a nonlinear fifth-order KdV equation. Zbl 1434.35164
Li, Xiaofeng; Du, Zengji; Liu, Jiang
2020
Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven. Zbl 1446.34055
Yang, Sumin; Qin, Bin; Xia, Guoen; Xia, Yong-Hui
2020
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021
Shao, Hua; Chen, Guanrong; Shi, Yuming
2020
The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032
Katz, Gabriel
2020
Periodic orbits and global stability for a discontinuous SIR model with delayed control. Zbl 1446.34104
Muqbel, Khalil; Vas, Gabriella; Röst, Gergely
2020
Qualitative analysis of the Nosé-Hoover oscillator. Zbl 1450.34026
Han, Qianqian; Yang, Xiao-Song
2020
Some qualitative features of the isosceles trapezoidal four-body problem. Zbl 1472.70028
Alvarez-Ramírez, Martha; Medina, Mario
2020
Extremal problems of the density for vibrating string equations with applications to gap and ratio of eigenvalues. Zbl 1456.34022
Qi, Jiangang; Li, Jing; Xie, Bing
2020
Floquet theory for quaternion-valued differential equations. Zbl 1439.34019
Cheng, Dong; Kou, Kit Ian; Xia, Yong Hui
2020
Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity. Zbl 1437.34053
Lu, Shiping; Jia, Xuewen
2020
Normalization and existence of invariant ray solutions of a 2-DOF autonomous Hamiltonian system with null frequencies. Zbl 1436.37070
Crespo, F.; Espejo, D. E.; Vidal, Claudio
2020
Iterated means dichotomy for discrete dynamical systems. Zbl 1453.37006
Saburov, Mansoor
2020
The dynamics of a kind of Liénard system with sixth degree and its limit cycle bifurcations under perturbations. Zbl 1447.34032
Han, Maoan; Yang, Junmin
2020
The geometrical demonstration of the order of resonant saddle points in $$\mathbb{C}^2$$. Zbl 1439.34080
Wu, Hao; Xu, Shoujun
2020
The role of the saddle-foci on the structure of a Bykov attracting set. Zbl 1459.37026
Bessa, Mário; Carvalho, Maria; Rodrigues, Alexandre A. P.
2020
The $$k$$-transformation on an interval with a hole. Zbl 1439.37045
Agarwal, Nikita
2020
Minimizers for the Kepler problem. Zbl 1462.70006
Montgomery, Richard
2020
A Reeb flow on the three-sphere without a disk-like global surface of Section. Zbl 1437.53059
van Koert, Otto
2020
Hardy-Rogers type iterated function systems. Zbl 1435.28010
Georgescu, Flavian; Miculescu, Radu; Mihail, Alexandru
2020
On the minimality of Keplerian arcs with fixed negative energy. Zbl 1475.70011
Barutello, Vivina; Boscaggin, Alberto; Dambrosio, Walter
2020
On the number of hyperelliptic limit cycles of Liénard systems. Zbl 1453.34045
Qian, Xinjie; Yang, Jiazhong
2020
Periodic orbits of linear Filippov systems with a line of discontinuity. Zbl 07173912
Li, Tao; Chen, Xingwu
2020
Global existence and singularity of the $$N$$-body problem with strong force. Zbl 1448.70025
Deng, Yanxia; Ibrahim, Slim
2020
Dynamics of a population with two equal dominated species. Zbl 1448.37123
Rozikov, U. A.; Usmonov, J. B.
2020
Vector fields with the asymptotic orbital pseudo-orbit tracing property. Zbl 1441.37032
Lee, Manseob; Park, Junmi
2020
Superattracting extraneous fixed points and $$n$$-cycles for Chebyshev’s method on cubic polynomials. Zbl 1440.37053
Gutiérrez, José M.; Varona, Juan L.
2020
Limit cycle bifurcations in perturbations of a reversible quadratic system with a non-rational first integral. Zbl 1461.34063
Xiong, Yanqin; Cheng, Rong; Li, Na
2020
Dynamics of the system of difference equations $$x_{n+1} = A+\frac{y_{n-k}}{y_n}$$, $$y_{n+1} = B+\frac{x_{n-k}}{x_n}$$. Zbl 1450.39003
Abualrub, S.; Aloqeili, M.
2020
Clark’s equation: a useful difference equation for population models, predictive control, and numerical approximations. Zbl 1448.37122
Liz, Eduardo
2020
Periodic solutions for the degenerate Lotka-Volterra competition system. Zbl 1450.35025
Huang, Haochuan; Huang, Rui; Wang, Liangwei; Yin, Jingxue
2020
Stochastic differential equations with perturbations driven by $$G$$-Brownian motion. Zbl 1460.60055
Ren, Yong; Sakthivel, R.
2020
Long-time behavior of non-autonomous FitzHugh-Nagumo lattice systems. Zbl 1452.37074
Wannan, Rania T.; Abdallah, Ahmed Y.
2020
Ergodicities of infinite dimensional nonlinear stochastic operators. Zbl 07259346
2020
Solitary waves and periodic waves in a perturbed KdV equation. Zbl 1454.34053
Li, Hong; Sun, Hongquan; Zhu, Wenjing
2020
Partially periodic point free self-maps on product of spheres and Lie groups. Zbl 1458.37012
Sirvent, Víctor F.
2020
Nondegeneracy and uniqueness of periodic solution for a neutral differential equation. Zbl 1466.34060
Cheng, Zhibo
2020
Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077
Dang, Quang A.; Hoang, Manh Tuan
2019
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.
2019
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
2019
On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005
Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi
2019
Dynamical behavior of singular traveling waves of ($$n+1$$)-dimensional nonlinear Klein-Gordon equation. Zbl 1418.34089
Feng, Dahe; Li, Jibin; Jiao, Jianjun
2019
Boundness and linearisation of a class of differential equations with piecewise constant argument. Zbl 1441.34076
Zou, Changwu; Xia, Yonghui; Pinto, Manuel; Shi, Jinlin; Bai, Yuzhen
2019
Time-dependent polynomials with one double root, and related new solvable systems of nonlinear evolution equations. Zbl 1457.37076
Bihun, Oksana; Calogero, Francesco
2019
Nondegenerate and nilpotent centers for a cubic system of differential equations. Zbl 1416.34020
Algaba, Antonio; García, Cristóbal; Giné, Jaume
2019
A new formula to get sharp global stability criteria for one-dimensional discrete-time models. Zbl 1429.39010
Liz, Eduardo; Buedo-Fernández, Sebastián
2019
Specification and thermodynamic properties of topological time-dependent dynamical systems. Zbl 1433.37023
Sarkooh, Javad Nazarian; Ghane, F. H.
2019
A remark on sensitivity and Li-Yorke sensitivity of iterated function systems. Zbl 1415.37015
Ma, Cuina; Zhu, Peiyong
2019
On piecewise linear differential systems with $$n$$ limit cycles of arbitrary multiplicities in two zones. Zbl 1418.34035
Zou, Changwu; Liu, Changjian; Yang, Jiazhong
2019
Exact solutions in invariant manifolds of some higher-order models describing nonlinear waves. Zbl 1439.34004
Li, Jibin; Zhou, Yan
2019
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
2019
Multiperiodicity to a certain delayed predator-prey model. Zbl 1432.34109
Li, Yang-Yang; Zhuo, Xiang-Lai; Zhang, Feng-Xue
2019
A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033
Hardin, A. J. M.; Rozikov, U. A.
2019
Limit cycles of a class of discontinuous planar piecewise linear systems with three regions of Y-type. Zbl 1431.34022
Zhao, Qianqian; Yu, Jiang
2019
Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2. Zbl 1433.37058
Aziz, Waleed
2019
On the uniqueness of limit cycles in a generalized Liénard system. Zbl 1478.34039
Zhang, Daoxiang; Yan, Ping
2019
Backward bifurcation of an epidemiological model with saturated incidence, isolation and treatment functions. Zbl 1426.34062
Okuonghae, Daniel
2019
On the asymptotic stability for nonlinear oscillators with time-dependent damping. Zbl 1429.34061
Hatvani, L.
2019
Bifurcation patterns in homogeneous area-preserving piecewise-linear maps. Zbl 1432.37005
Garcia-Morato, Luis Benadero; Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco
2019
The existence and asymptotic estimates of solutions for a third-order nonlinear singularly perturbed boundary value problem. Zbl 1427.34076
Lin, Xiaojie; Liu, Jiang; Wang, Can
2019
Dynamical behavior of traveling wave solutions of a long waves-short waves resonance model. Zbl 1432.34049
Leta, Temesgen Desta; Li, Jibin
2019
Planar semi-quasi homogeneous polynomial differential systems with a given degree. Zbl 1434.37012
Tian, Yuzhou; Liang, Haihua
2019
Neimark-Sacker bifurcation with $$\mathbb{Z}_n$$-symmetry and a neural application. Zbl 1428.37082
Mazrooei-Sebdani, Reza; Eskandari, Zohreh
2019
On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait “butterfly”. Zbl 1431.34043
Yang, Jihua; Sui, Shiyou; Zhao, Liqin
2019
...and 303 more Documents
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### Cited by 1,787 Authors

 98 Llibre, Jaume 46 Giné, Jaume 35 Valls Anglés, Cláudia 34 Han, Maoan 28 Algaba, Antonio 24 El-Nabulsi, Rami Ahmad 22 García, Cristóbal 22 Vulpe, Nicolae I. 22 Yu, Pei 21 Wu, Yonghong 20 Gasull, Armengol 20 Zhang, Xinguang 19 Schlomiuk, Dana I. 18 Zhang, Xiang 17 Liu, Lishan 16 Cui, Yujun 16 García, Isaac A. 16 Torregrosa, Joan 15 Reyes, Manuel 15 Zada, Akbar 14 Artés, Joan Carles 14 Xia, Yonghui 14 Zhang, Fuchen 13 Ferragut, Antoni 13 Liu, Changjian 12 Li, Feng 12 Vidal, Claudio 12 Zhao, Yulin 11 De Maesschalck, Peter 11 Grau, Maite 11 Hoang, Manh Tuan 11 Huzak, Renato 11 Romanovski, Valery G. 11 Wang, Jinrong 11 Zhao, Kaihong 11 Zhao, Liqin 10 Devaney, Robert L. 10 Liao, Xiaofeng 10 Liu, Yirong 10 Mireles-James, Jason D. 10 Teixeira, Marco Antonio 10 Wu, Xinxing 9 Buică, Adriana 9 Christopher, Colin J. 9 Mello, Luis Fernando O. 9 Oliveira, Regilene D. S. 9 Xiong, Yanqin 9 Zhang, Guangyun 8 Alvarez-Ramírez, Martha 8 Buzzi, Claudio Aguinaldo 8 Chen, Hebai 8 Dumortier, Freddy 8 Fernandes, Antonio Carlos 8 Jiang, Jiqiang 8 Liang, Haihua 8 Maza, Susanna 8 Mu, Chunlai 8 Sabatini, Marco 8 Sun, Xianbo 8 Yang, Jihua 7 Apalara, Tijani Abdulaziz 7 Ferčec, Brigita 7 Freire Macías, Emilio 7 Jamilov, Uygun U. 7 Li, Jibin 7 Qin, Bin 7 Tian, Yun 7 Walcher, Sebastian 7 Zhao, Wencai 6 Calogero, Francesco A. 6 Caubergh, Magdalena 6 Chen, Xingwu 6 Chèze, Guillaume 6 Cors, Josep Maria 6 Das, Ruchi 6 Du, Zengji 6 García Guirao, Juan Luis 6 Giacomini, Hector J. 6 Guo, Laigang 6 Li, Shimin 6 Liu, Jiang 6 Liu, Wenjun 6 Mukhamedov, Farruh Maksutovich 6 Ponce, Enrique 6 Roussarie, Robert 6 Su, Guangwang 6 Villadelprat, Jordi 6 Wang, Lidong 6 Wu, Yusen 6 Xiao, Dongmei 6 Županović, Vesna 5 Bai, Yuzhen 5 Bujac, Cristina 5 Chen, Yufu 5 Corbera, Montserrat 5 Da Silva, Paulo Ricardo 5 Din, Qamar 5 Egbelowo, Oluwaseun Francis 5 Ferrer, Sebastián 5 Jiang, Fangfang ...and 1,687 more Authors
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### Cited in 270 Journals

 168 Qualitative Theory of Dynamical Systems 106 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 101 Journal of Differential Equations 70 Journal of Mathematical Analysis and Applications 47 Advances in Difference Equations 26 Applied Mathematics and Computation 25 Nonlinear Dynamics 24 Bulletin des Sciences Mathématiques 23 Chaos, Solitons and Fractals 23 Celestial Mechanics and Dynamical Astronomy 23 Journal of Dynamics and Differential Equations 22 Discrete and Continuous Dynamical Systems. Series B 21 Nonlinear Analysis. Real World Applications 20 Discrete and Continuous Dynamical Systems 19 Applied Mathematics Letters 17 Dynamical Systems 16 Boundary Value Problems 15 Complexity 15 Journal of Difference Equations and Applications 15 Regular and Chaotic Dynamics 15 Communications in Nonlinear Science and Numerical Simulation 15 Journal of Applied Analysis and Computation 14 Nonlinearity 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Discrete Dynamics in Nature and Society 13 Journal of Mathematical Physics 13 Physica D 12 Topology and its Applications 12 Journal of Nonlinear Science 12 Journal of Function Spaces 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Mathematical Problems in Engineering 10 Acta Mathematica Sinica. English Series 10 Communications on Pure and Applied Analysis 10 SIAM Journal on Applied Dynamical Systems 9 Rocky Mountain Journal of Mathematics 9 Journal of Computational and Applied Mathematics 9 Proceedings of the American Mathematical Society 9 Ergodic Theory and Dynamical Systems 9 Journal of Dynamical and Control Systems 9 Differential Equations 9 Mediterranean Journal of Mathematics 8 Journal of Geometry and Physics 8 Nonlinear Analysis. Modelling and Control 8 AIMS Mathematics 7 Mathematische Zeitschrift 7 Transactions of the American Mathematical Society 7 Indagationes Mathematicae. New Series 7 Chaos 7 Journal of Nonlinear Mathematical Physics 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Journal of Nonlinear Science and Applications 6 Annales de l’Institut Fourier 6 Buletinul Academiei de Științe a Republicii Moldova. Matematica 6 Abstract and Applied Analysis 6 Journal of Inequalities and Applications 6 Mathematical Biosciences and Engineering 6 Journal of Geometric Mechanics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Mathematics and Computers in Simulation 5 Results in Mathematics 5 Topological Methods in Nonlinear Analysis 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Dynamical Systems and Geometric Theories 5 Journal of Fixed Point Theory and Applications 5 Discrete and Continuous Dynamical Systems. Series S 5 International Journal of Biomathematics 4 Communications in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Physica A 4 Physics Letters. A 4 Journal of Algebra 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Mathematical Chemistry 4 Communications in Contemporary Mathematics 4 Mathematical Modelling and Analysis 4 Journal of Applied Mathematics and Computing 4 Open Mathematics 3 Acta Mechanica 3 International Journal of Theoretical Physics 3 Israel Journal of Mathematics 3 Journal of Statistical Physics 3 Mathematics of Computation 3 Archiv der Mathematik 3 Geometriae Dedicata 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Symbolic Computation 3 Journal of Integral Equations and Applications 3 Differential Equations and Dynamical Systems 3 Taiwanese Journal of Mathematics 3 Lobachevskii Journal of Mathematics 3 Hacettepe Journal of Mathematics and Statistics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proyecciones ...and 170 more Journals
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### Cited in 57 Fields

 899 Ordinary differential equations (34-XX) 631 Dynamical systems and ergodic theory (37-XX) 177 Mechanics of particles and systems (70-XX) 120 Biology and other natural sciences (92-XX) 104 Partial differential equations (35-XX) 73 Operator theory (47-XX) 61 Real functions (26-XX) 56 Difference and functional equations (39-XX) 50 Numerical analysis (65-XX) 50 Systems theory; control (93-XX) 48 General topology (54-XX) 37 Algebraic geometry (14-XX) 30 Differential geometry (53-XX) 26 Global analysis, analysis on manifolds (58-XX) 22 Mechanics of deformable solids (74-XX) 21 Probability theory and stochastic processes (60-XX) 20 Measure and integration (28-XX) 18 Combinatorics (05-XX) 17 Manifolds and cell complexes (57-XX) 17 Fluid mechanics (76-XX) 16 Functions of a complex variable (30-XX) 15 Commutative algebra (13-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Quantum theory (81-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Computer science (68-XX) 13 Field theory and polynomials (12-XX) 11 Integral equations (45-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Nonassociative rings and algebras (17-XX) 9 Special functions (33-XX) 8 Algebraic topology (55-XX) 8 Information and communication theory, circuits (94-XX) 7 Number theory (11-XX) 7 Functional analysis (46-XX) 7 Relativity and gravitational theory (83-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Optics, electromagnetic theory (78-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Geophysics (86-XX)