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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: 653 Publications (since 2000)
References Indexed: 616 Publications with 14,046 References.
all top 5

Authors

27 Llibre, Jaume
11 Vidal, Claudio
10 Gasull, Armengol
10 Xia, Yonghui
8 Giné, Jaume
8 Valls Anglés, Cláudia
7 García Guirao, Juan Luis
7 Lacomba, Ernesto A.
7 Vulpe, Nicolae I.
6 Algaba, Antonio
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 Falconi, Manuel J.
5 Han, Maoan
5 Sun, Taixiang
5 Xi, Hongjian
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 Wang, Jinrong
4 Wu, Xinxing
4 Xu, Junxiang
4 Yang, Jiazhong
4 Yang, Jihua
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 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 Misiurewicz, Michał
3 Molero, Francisco Javier
3 Mukhamedov, Farruh Maksutovich
3 Piña, Eduardo G.
3 Qin, Bin
3 Rabanal, Roland
3 Rozikov, Utkir A.
3 Ruas, Antonio Augusto Gaspar
3 Simó, Carles
3 Sirvent, Víctor F.
3 Sotomayor, Jorge
3 Tal, Fábio Armando
3 Vera López, Juan Antonio
3 Villadelprat, Jordi
3 Walcher, Sebastian
3 Yang, Xiaosong
3 Yomdin, Yosef
3 Yu, Jiang
3 Zhang, Tonghua
2 Abdallah, Ahmed Y.
2 Acosta Humánez, Primitivo Belén
2 Anderson, Douglas Robert
2 Artés, Joan Carles
2 Ayers, Kimberly
2 Azamov, Abdulla Azamovich
2 Aziz, Waleed
2 Barrabés, Esther
2 Bortolatto, Renato B.
...and 829 more Authors
all top 5

Fields

324 Dynamical systems and ergodic theory (37-XX)
317 Ordinary differential equations (34-XX)
109 Mechanics of particles and systems (70-XX)
48 Partial differential equations (35-XX)
42 Biology and other natural sciences (92-XX)
39 Operator theory (47-XX)
26 Difference and functional equations (39-XX)
23 Differential geometry (53-XX)
21 General topology (54-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Numerical analysis (65-XX)
12 Measure and integration (28-XX)
12 Probability theory and stochastic processes (60-XX)
11 Algebraic geometry (14-XX)
11 Manifolds and cell complexes (57-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Real functions (26-XX)
9 Fluid mechanics (76-XX)
7 Systems theory; control (93-XX)
6 Calculus of variations and optimal control; optimization (49-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 Integral equations (45-XX)
4 Quantum theory (81-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-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 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-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 Integral transforms, operational calculus (44-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)

Publications by Year

Citations contained in zbMATH Open

364 Publications have been cited 1,643 times in 1,399 Documents Cited by Year
New results on the study of \(Z_q\)-equivariant planar polynomial vector fields. Zbl 1213.34059
Li, Jibin; Liu, Yirong
43
2010
Exact iterative solution for an abstract fractional dynamic system model for bioprocess. Zbl 1454.34023
Zhang, Xinguang; Mao, Cuiling; Liu, Lishan; Wu, Yonghong
39
2017
Liouvillian integration of the Lotka-Volterra system. Zbl 1084.34001
Moulin Ollagnier, Jean
32
2002
Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016
Schlomiuk, Dana; Vulpe, Nicolae
31
2004
Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056
Han, Maoan; Romanovski, Valery G.; Zhang, Xiang
28
2016
Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022
Christopher, Colin; Rousseau, Christiane
27
2004
On the Darboux integrability of polynomial differential systems. Zbl 1266.34002
Llibre, Jaume; Zhang, Xiang
27
2012
Isochronicity via normal form. Zbl 1021.34022
Algaba, Antonio; Freire, Emilio; Gamero, Estanislao
26
2000
Abelian integrals and limit cycles. Zbl 1270.34004
Li, Chengzhi
26
2012
A survey on the inverse integrating factor. Zbl 1364.34005
García, Isaac A.; Grau, Maite
25
2010
Non-linear dynamics with non-standard Lagrangians. Zbl 1322.37037
El-Nabulsi, Ahmad Rami
25
2013
Further results on ultimate bound on the trajectories of the Lorenz system. Zbl 1338.65275
Zhang, Fuchen; Zhang, Guangyun
21
2016
Some lower bounds for \(H(n)\) in Hilbert’s 16th problem. Zbl 1050.34039
Li, Jibin; Chan, H. S. Y.; Chung, K. W.
20
2002
The chain properties and average shadowing property of iterated function systems. Zbl 1392.37009
Wu, Xinxing; Wang, Lidong; Liang, Jianhua
20
2018
Existence of positive solutions for a class of higher-order Caputo fractional differential equation. Zbl 1366.34013
Zhao, Kaihong; Gong, Ping
19
2015
Slow divergence integral and balanced canard solutions. Zbl 1215.34063
Dumortier, Freddy
19
2011
On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus. Zbl 0989.34018
Schlomiuk, Dana; Pal, Janos
19
2001
Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011
Sotomayor, Jorge; Machado, Ana Lúcia F.
19
2002
Non-standard non-local-in-time Lagrangians in classical mechanics. Zbl 1305.70043
El-Nabulsi, Rami Ahmad
17
2014
Uniform stability of a laminated beam with structural memory. Zbl 1383.74056
Lo, Assane; Tatar, Nasser-eddine
17
2016
Exact Devaney chaos and entropy. Zbl 1119.37027
Kwietniak, Dominik; Misiurewicz, Michał
15
2005
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
15
2018
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.
15
2009
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.
14
2014
Centers for trigonometric Abel equations. Zbl 1264.34055
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
14
2012
Stability for a new discrete ratio-dependent predator-prey system. Zbl 1394.37122
Zhuo, Xiang-Lai; Zhang, Feng-Xue
13
2018
Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay. Zbl 1379.34072
Guendouzi, Toufik; Bousmaha, Lamia
13
2014
On local diffeomorphisms of \(\mathbb{R}^n\) that are injective. Zbl 1067.37019
Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland
12
2003
Period function for perturbed isochronous centres. Zbl 1087.34021
Freire, Emilio; Gasull, Armengol; Guillamon, Antoni
12
2002
A new algorithm for finding rational first integrals of polynomial vector fields. Zbl 1216.34001
Ferragut, Antoni; Giacomini, Héctor
12
2010
Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033
Devaney, Robert L.
12
2004
Center conditions for polynomial Liénard systems. Zbl 1392.34027
Giné, Jaume
12
2017
Regular and singular reductions in the spatial three-body problem. Zbl 1282.70016
Palacián, Jesús F.; Sayas, Flora; Yanguas, Patricia
11
2013
On the vanishing set of inverse integrating factors. Zbl 1032.34027
Berrone, Lucio R.; Giacomini, Hector J.
11
2000
On the existence of central configurations of \(p\) nested \(n\)-gons. Zbl 1195.70018
Corbera, Montserrat; Delgado, Joaquin; Llibre, Jaume
11
2010
Cyclicity versus center problem. Zbl 1210.34049
Gasull, Armengol; Giné, Jaume
11
2010
On stacked planar central configurations with five bodies when one body is removed. Zbl 1345.70016
Fernandes, Antonio Carlos; Mello, Luis Fernando
11
2013
Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077
Dang, Quang A.; Hoang, Manh Tuan
11
2019
Stacked central configurations for the spatial seven-body problem. Zbl 1282.70021
Mello, Luis Fernando; Fernandes, Antonio Carlos
10
2013
Limit cycles bifurcated from a reversible quadratic center. Zbl 1142.34019
Li, Jinming
10
2005
A note on the convergence of parametrised non-resonant invariant manifolds. Zbl 1209.37028
Johnson, Tomas; Tucker, Warwick
9
2011
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.
9
2019
Melnikov functions and Bautin ideal. Zbl 1081.37030
Roussarie, Robert
9
2001
The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033
Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi
9
2003
Periodic perturbations of an isochronous center. Zbl 1043.34049
Ortega, Rafael
9
2002
Quadratic perturbations of a quadratic reversible Lotka-Volterra system. Zbl 1213.34071
Li, Chengzhi; Llibre, Jaume
9
2010
Qualitative classification of singular points. Zbl 1131.34304
Jiang, Qibao; Llibre, Jaume
9
2005
Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308
Caubergh, Magdalena; Françoise, Jean-Pierre
9
2004
Two tight independent set conditions for fractional \((g,f,m)\)-deleted graphs systems. Zbl 1390.05162
Gao, Wei; García Guirao, Juan Luis; Wu, Hualong
9
2018
Hilbert’s sixteenth problem for polynomial Liénard equations. Zbl 1272.34002
Caubergh, Magdalena
9
2012
Global stability of Beddington model. Zbl 1383.92065
Din, Qamar
9
2017
Limit cycles for planar piecewise linear differential systems via first integrals. Zbl 1047.34021
Llibre, Jaume; Nuñez, Eduardo; Teruel, Antonio E.
8
2002
Algebraic closure of a rational function. Zbl 1121.13301
Moulin Ollagnier, Jean
8
2004
Non-ergodicity of uniform quadratic stochastic operators. Zbl 1344.37093
Jamilov, Uygun; Ladra, Manuel
8
2016
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.
8
2016
Parameterized IFS with the asymptotic average shadowing property. Zbl 1372.37054
Fatehi Nia, Mehdi
8
2016
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
8
2020
Cubic Liénard equations with quadratic damping having two antisaddles. Zbl 1025.34029
Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi
7
2000
\(n-1\) independent first integrals for linear differential systems in \(\mathbb{R}^n\) or \(\mathbb{C}^n\). Zbl 1090.34002
Falconi, Manuel; Llibre, Jaume
7
2003
On the distribution and number of limit cycles for quadratic systems with two foci. Zbl 1050.34036
Zhang, Pingguang
7
2002
Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076
Oliveira, Regilene; Zhao, Yulin
7
2014
Perturbation of a period annulus bounded by a heteroclinic loop connecting two hyperbolic saddles. Zbl 1385.37077
Sun, Xianbo
7
2017
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
7
2019
A four-body convex central configuration with perpendicular diagonals is necessarily a kite. Zbl 1402.70012
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
7
2018
On the exponential stability of discrete semigroups. Zbl 1336.47047
Zada, Akbar; Ahmad, Nisar; Khan, Ihsan Ullah; Khan, Faiz Muhammad
6
2015
Co-circular and co-spherical kite central configurations. Zbl 1307.70007
Mello, Luis Fernando; Fernandes, Antonio Carlos
6
2011
On the Dulac functions. Zbl 1220.34050
Osuna, Osvaldo; Villaseñor, Gabriel
6
2011
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
6
2008
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
6
2013
Convex energy levels of Hamiltonian systems. Zbl 1065.37044
Salomão, Pedro A. S.
6
2003
Computing simplest normal forms for the Takens-Bogdanov singularity. Zbl 1050.34052
Algaba, Antonio
6
2002
A note on higher order Melnikov functions. Zbl 1144.34024
Jebrane, Ahmed; Żołądek, Henryk
6
2005
On the equivalence of the Melnikov functions method and the averaging method. Zbl 1392.34052
Buică, Adriana
6
2017
The slow invariant manifold of the Lorenz-Krishnamurthy model. Zbl 1325.34062
Ginoux, Jean-Marc
6
2014
Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044
Mamouhdi, Lylia; Roussarie, Robert
6
2012
Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation. Zbl 1418.34089
Feng, Dahe; Li, Jibin; Jiao, Jianjun
6
2019
Positive periodic solutions for a first order singular ordinary differential equation generated by impulses. Zbl 1404.34030
Nieto, Juan J.; Uzal, José M.
6
2018
The fixed point approach to the stability of fractional differential equations with causal operators. Zbl 1343.34016
Jiang, Jingfei; Cao, Dengqing; Chen, Huatao
6
2016
Canards existence in Memristor’s circuits. Zbl 1370.34111
Ginoux, Jean-Marc; Llibre, Jaume
6
2016
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
6
2020
On the entropy of conservative flows. Zbl 1209.37029
Bessa, Mário; Varandas, Paulo
5
2011
Geometry of weak stability boundaries. Zbl 1270.70027
Belbruno, Edward A.; Gidea, Marian; Topputo, Francesco
5
2013
Solution of the problem of the centre for a cubic differential system with three invariant straight lines. Zbl 0994.34021
Cozma, Dumitru; Şubă, Alexandru
5
2001
Global dynamics of mechanical systems with cubic potentials. Zbl 1134.70310
Falconi, M.; Lacomba, E. A.; Vidal, C.
5
2002
A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems. Zbl 1081.70009
Kobayashi, Marcelo H.; Oliva, Waldyr M.
5
2003
On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035
Roussarie, Robert; Schlomiuk, Dana
5
2002
Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\). Zbl 1220.37034
Žubrinić, Darko; Županović, Vesna
5
2005
Uniqueness of limit cycles for a class of planar vector fields. Zbl 1135.34022
Carletti, Timoteo
5
2005
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
5
2005
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
5
2004
Corrections and complements to “Liouvillian integration of the Lotka-Volterra system”. Zbl 1137.34303
Moulin-Ollagnier, Jean
5
2004
Yet another class of new solvable \(N\)-body problems of goldfish type. Zbl 1421.70020
Calogero, Francesco
5
2017
On the equiprobable strictly non-Volterra quadratic stochastic operators. Zbl 1390.37090
Jamilov, U. U.; Ladra, M.; Mukhitdinov, R. T.
5
2017
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
5
2013
Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044
Bi, Qiaoyan; Xu, Junxiang
5
2014
Controlled invariant hypersurfaces of polynomial control systems. Zbl 1255.93043
Zerz, Eva; Walcher, Sebastian
5
2012
On double boundary equilibrium bifurcations in piecewise smooth planar systems. Zbl 1264.34074
Pagano, Daniel J.; Ponce, Enrique; Torres, Francisco
5
2011
Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\). Zbl 1267.34002
Algaba, Antonio; García, Cristóbal; Reyes, Manuel
5
2011
Discrete-space systems of partial dynamic equations and discrete-space wave equation. Zbl 1408.34075
Slavík, Antonín
5
2017
Positive periodic solutions for a kind of first-order singular differential equation induced by impulses. Zbl 1402.34029
Kong, Fanchao; Luo, Zhiguo
5
2018
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
1
2021
Travelling wave solutions of the general regularized long wave equation. Zbl 1472.34006
Zheng, Hang; Xia, Yonghui; Bai, Yuzhen; Wu, Luoyi
1
2021
Keplerian orbits through the Conley-Zehnder index. Zbl 07302073
Kavle, Henry; Offin, Daniel; Portaluri, Alessandro
1
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
1
2021
Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions. Zbl 1467.34042
Duignan, Nathan
1
2021
Periodic points of regular curve homeomorphisms. Zbl 1470.37036
Daghar, Aymen; Naghmouchi, Issam; Riahi, Moncef
1
2021
Quaternion-valued linear impulsive differential equations. Zbl 1470.34039
Suo, Leping; Fečkan, Michal; Wang, JinRong
1
2021
Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory. Zbl 1467.35278
Chentouf, Boumediène
1
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
8
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
6
2020
Stability and bifurcation analysis of an amensalism model with weak allee effect. Zbl 1439.34056
Wei, Zhen; Xia, Yonghui; Zhang, Tonghua
4
2020
Affine-periodic solutions for impulsive differential systems. Zbl 1451.34052
Wang, Chuanbiao; Yang, Xue; Chen, Xusheng
3
2020
Pointwise recurrence on local dendrites. Zbl 1432.37033
Askri, Ghassen; Naghmouchi, Issam
3
2020
A note on the Lyapunov and period constants. Zbl 1447.34030
Cima, A.; Gasull, A.; Mañosas, F.
3
2020
Analysis of the predator-prey interactions: a stochastic model incorporating disease invasion. Zbl 1437.34058
Feng, Tao; Meng, Xinzhu; Zhang, Tonghua; Qiu, Zhipeng
3
2020
Shadowing property and invariant measures having full supports. Zbl 07173471
Moriyasu, Kazumine; Sakai, Kazuhiro; Sumi, Naoya
2
2020
Distributional chaos on uniform spaces. Zbl 1432.37035
Shah, Sejal; Das, Tarun; Das, Ruchi
2
2020
Eventually shadowable points. Zbl 1432.37039
Dong, Meihua; Jung, Woochul; Morales, Carlos
2
2020
Existence of solitary wave solutions for a nonlinear fifth-order KdV equation. Zbl 1434.35164
Li, Xiaofeng; Du, Zengji; Liu, Jiang
2
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
2
2020
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021
Shao, Hua; Chen, Guanrong; Shi, Yuming
2
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
2
2020
The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032
Katz, Gabriel
2
2020
A note on the periodic structure of transversal maps on the torus and products of spheres. Zbl 1444.37019
Sirvent, Víctor F.
2
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
2
2020
Periodic orbits and global stability for a discontinuous SIR model with delayed control. Zbl 1446.34104
Muqbel, Khalil; Vas, Gabriella; Röst, Gergely
2
2020
Clark’s equation: a useful difference equation for population models, predictive control, and numerical approximations. Zbl 1448.37122
Liz, Eduardo
1
2020
Long-time behavior of non-autonomous FitzHugh-Nagumo lattice systems. Zbl 1452.37074
Wannan, Rania T.; Abdallah, Ahmed Y.
1
2020
Solitary waves and periodic waves in a perturbed KdV equation. Zbl 1454.34053
Li, Hong; Sun, Hongquan; Zhu, Wenjing
1
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
1
2020
Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces. Zbl 1450.34054
Hao, Xinan; Liu, Lishan
1
2020
Qualitative analysis of the Nosé-Hoover oscillator. Zbl 1450.34026
Han, Qianqian; Yang, Xiao-Song
1
2020
Some qualitative features of the isosceles trapezoidal four-body problem. Zbl 1472.70028
Alvarez-Ramírez, Martha; Medina, Mario
1
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
1
2020
Floquet theory for quaternion-valued differential equations. Zbl 1439.34019
Cheng, Dong; Kou, Kit Ian; Xia, Yong Hui
1
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
1
2020
New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity. Zbl 1437.37077
Wu, Dong-Lun; Yu, Xiang
1
2020
Iterated means dichotomy for discrete dynamical systems. Zbl 1453.37006
Saburov, Mansoor
1
2020
The geometrical demonstration of the order of resonant saddle points in \(\mathbb{C}^2\). Zbl 1439.34080
Wu, Hao; Xu, Shoujun
1
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.
1
2020
The \(k\)-transformation on an interval with a hole. Zbl 1439.37045
Agarwal, Nikita
1
2020
Hardy-Rogers type iterated function systems. Zbl 1435.28010
Georgescu, Flavian; Miculescu, Radu; Mihail, Alexandru
1
2020
On the number of hyperelliptic limit cycles of Liénard systems. Zbl 1453.34045
Qian, Xinjie; Yang, Jiazhong
1
2020
Global existence and singularity of the \(N\)-body problem with strong force. Zbl 1448.70025
Deng, Yanxia; Ibrahim, Slim
1
2020
Vector fields with the asymptotic orbital pseudo-orbit tracing property. Zbl 1441.37032
Lee, Manseob; Park, Junmi
1
2020
A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037
Chen, Xiaoyan; Han, Maoan
1
2020
Dynamics of a population with two equal dominated species. Zbl 1448.37123
Rozikov, U. A.; Usmonov, J. B.
1
2020
Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077
Dang, Quang A.; Hoang, Manh Tuan
11
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.
9
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
7
2019
Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation. Zbl 1418.34089
Feng, Dahe; Li, Jibin; Jiao, Jianjun
6
2019
Time-dependent polynomials with one double root, and related new solvable systems of nonlinear evolution equations. Zbl 1457.37076
Bihun, Oksana; Calogero, Francesco
4
2019
Nondegenerate and nilpotent centers for a cubic system of differential equations. Zbl 1416.34020
Algaba, Antonio; García, Cristóbal; Giné, Jaume
4
2019
A new formula to get sharp global stability criteria for one-dimensional discrete-time models. Zbl 1429.39010
Liz, Eduardo; Buedo-Fernández, Sebastián
3
2019
On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005
Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi
3
2019
A remark on sensitivity and Li-Yorke sensitivity of iterated function systems. Zbl 1415.37015
Ma, Cuina; Zhu, Peiyong
3
2019
Multiperiodicity to a certain delayed predator-prey model. Zbl 1432.34109
Li, Yang-Yang; Zhuo, Xiang-Lai; Zhang, Feng-Xue
2
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
2
2019
Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2. Zbl 1433.37058
Aziz, Waleed
2
2019
Specification and thermodynamic properties of topological time-dependent dynamical systems. Zbl 1433.37023
Sarkooh, Javad Nazarian; Ghane, F. H.
2
2019
Exact solutions in invariant manifolds of some higher-order models describing nonlinear waves. Zbl 1439.34004
Li, Jibin; Zhou, Yan
2
2019
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
2
2019
On the asymptotic stability for nonlinear oscillators with time-dependent damping. Zbl 1429.34061
Hatvani, L.
2
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
2
2019
Dynamical behavior of traveling wave solutions of a long waves-short waves resonance model. Zbl 1432.34049
Leta, Temesgen Desta; Li, Jibin
1
2019
Neimark-Sacker bifurcation with \(\mathbb{Z}_n\)-symmetry and a neural application. Zbl 1428.37082
Mazrooei-Sebdani, Reza; Eskandari, Zohreh
1
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
1
2019
Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem. Zbl 1454.70006
Llibre, Jaume; Yuan, Pengfei
1
2019
On the periodic structure of the anisotropic Manev problem. Zbl 1454.70004
García Guirao, Juan Luis; Roca, José Luis; Vera López, Juan Antonio
1
2019
A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033
Hardin, A. J. M.; Rozikov, U. A.
1
2019
Spiderweb central configurations. Zbl 1454.70005
Hénot, Olivier; Rousseau, Christiane
1
2019
On the uniqueness of limit cycles in a generalized Liénard system. Zbl 07148083
Zhang, Daoxiang; Yan, Ping
1
2019
Correction to: “On families of periodic orbits in the restricted three-body problem”. Zbl 07148087
Kim, Seongchan
1
2019
Non hyperbolic solenoidal thick bony attractors. Zbl 1415.37030
Zaj, M.; Ghane, F. H.
1
2019
Traveling wave solution of a reaction-diffusion predator-prey system. Zbl 1415.35165
Liu, Jiang; Xu, Dongcheng; Du, Zengji
1
2019
Quantization of non-standard Hamiltonians and the Riemann zeros. Zbl 1420.81010
El-Nabulsi, Rami Ahmad
1
2019
Validated numerics for continuation and bifurcation of connecting orbits of maps. Zbl 1418.37123
Adams, Ronald; Mireles James, J. D.
1
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
1
2019
On families of periodic orbits in the restricted three-body problem. Zbl 1447.70006
Kim, Seongchan
1
2019
A quasi separable dissipative Maxwell-Bloch system for laser dynamics. Zbl 1437.78006
Gorni, Gianluca; Residori, Stefania; Zampieri, Gaetano
1
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
1
2019
Rational parameterizations approach for solving equations in some dynamical systems problems. Zbl 1423.34040
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan
1
2019
On the iteration invariance of distributional chaos of type \(2\frac{1}{2}\) in non-autonomous discrete system. Zbl 1419.37019
Wang, Jianjun
1
2019
The chain properties and average shadowing property of iterated function systems. Zbl 1392.37009
Wu, Xinxing; Wang, Lidong; Liang, Jianhua
20
2018
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
15
2018
Stability for a new discrete ratio-dependent predator-prey system. Zbl 1394.37122
Zhuo, Xiang-Lai; Zhang, Feng-Xue
13
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
9
2018
A four-body convex central configuration with perpendicular diagonals is necessarily a kite. Zbl 1402.70012
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
7
2018
Positive periodic solutions for a first order singular ordinary differential equation generated by impulses. Zbl 1404.34030
Nieto, Juan J.; Uzal, José M.
6
2018
Positive periodic solutions for a kind of first-order singular differential equation induced by impulses. Zbl 1402.34029
Kong, Fanchao; Luo, Zhiguo
5
2018
The center problem for the Lotka reactions with generalized mass-action kinetics. Zbl 1402.34033
Boros, Balázs; Hofbauer, Josef; Müller, Stefan; Regensburger, Georg
5
2018
Solving quaternion ordinary differential equations with two-sided coefficients. Zbl 1457.34002
Cai, Zhen Feng; Kou, Kit Ian
3
2018
Box dimension and cyclicity of Canard cycles. Zbl 1402.34063
Huzak, Renato
3
2018
Classification and counting of planar quasi-homogeneous differential systems through their weight vectors. Zbl 1400.37021
García, Belén; Lombardero, Antón; Pérez del Río, Jesús S.
3
2018
A coordinate-independent version of Hoppensteadt’s convergence theorem. Zbl 1407.34080
Lax, Christian; Seliger, Katrin; Walcher, Sebastian
2
2018
Special \(\alpha \)-limit points and \(\gamma \)-limit points of a dendrite map. Zbl 1392.37013
Sun, Taixiang; Tang, Yalin; Su, Guangwang; Xi, Hongjian; Qin, Bin
2
2018
On the Chebyshev property of certain abelian integrals near a polycycle. Zbl 1394.34058
Marín, D.; Villadelprat, J.
2
2018
A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Zbl 1392.37048
Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai
2
2018
On the complete integrability of the Raychaudhuri differential system in \(\mathbb {R}^4\) and of a CRNT model in \(\mathbb {R}^5\). Zbl 1394.34005
Ferragut, Antoni; Valls, Claudia
2
2018
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
2
2018
...and 264 more Documents
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Cited by 1,585 Authors

94 Llibre, Jaume
44 Giné, Jaume
34 Valls Anglés, Cláudia
29 Han, Maoan
27 Algaba, Antonio
22 El-Nabulsi, Rami Ahmad
22 Vulpe, Nicolae I.
22 Yu, Pei
21 García, Cristóbal
20 Gasull, Armengol
19 Schlomiuk, Dana I.
18 Wu, Yonghong
18 Zhang, Xiang
18 Zhang, Xinguang
15 García, Isaac A.
15 Torregrosa, Joan
14 Artés, Joan Carles
14 Cui, Yujun
14 Reyes, Manuel
14 Zhang, Fuchen
13 Liu, Lishan
13 Romanovski, Valery G.
12 Ferragut, Antoni
12 Li, Feng
12 Liu, Changjian
12 Vidal, Claudio
12 Zada, Akbar
12 Zhao, Yulin
11 De Maesschalck, Peter
11 Grau, Maite
10 Huzak, Renato
10 Liao, Xiaofeng
10 Liu, Yirong
10 Mireles-James, Jason D.
10 Teixeira, Marco Antonio
10 Wu, Xinxing
10 Xia, Yonghui
10 Zhao, Kaihong
10 Zhao, Liqin
9 Buică, Adriana
9 Devaney, Robert L.
9 Hoang, Manh Tuan
9 Mello, Luis Fernando O.
9 Wang, Jinrong
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 Maza, Susanna
8 Mu, Chunlai
8 Oliveira, Regilene D. S.
8 Sabatini, Marco
8 Sun, Xianbo
8 Yang, Jihua
7 Christopher, Colin J.
7 Ferčec, Brigita
7 Freire Macías, Emilio
7 Li, Jibin
7 Liang, Haihua
7 Tian, Yun
7 Walcher, Sebastian
6 Calogero, Francesco A.
6 Caubergh, Magdalena
6 Chèze, Guillaume
6 Cors, Josep Maria
6 Du, Zengji
6 Egbelowo, Oluwaseun Francis
6 Giacomini, Hector J.
6 Li, Shimin
6 Liu, Wenjun
6 Mukhamedov, Farruh Maksutovich
6 Ponce, Enrique
6 Qin, Bin
6 Roussarie, Robert
6 Villadelprat, Jordi
6 Wang, Lidong
6 Xiao, Dongmei
6 Zhao, Wencai
6 Županović, Vesna
5 Apalara, Tijani A.
5 Bujac, Cristina
5 Chen, Yufu
5 Corbera, Montserrat
5 Da Silva, Paulo Ricardo
5 Das, Ruchi
5 Din, Qamar
5 Ferrer, Sebastián
5 García Guirao, Juan Luis
5 Guo, Laigang
5 Jiang, Fangfang
5 Kwietniak, Dominik
5 Li, Chengzhi
5 Meng, Xinzhu
5 Messias, Marcelo
5 Moulin Ollagnier, Jean
5 Pakovich, Fedor
...and 1,485 more Authors
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Cited in 252 Journals

150 Qualitative Theory of Dynamical Systems
99 Journal of Differential Equations
99 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
69 Journal of Mathematical Analysis and Applications
35 Advances in Difference Equations
26 Applied Mathematics and Computation
25 Nonlinear Dynamics
22 Bulletin des Sciences Mathématiques
21 Journal of Dynamics and Differential Equations
20 Celestial Mechanics and Dynamical Astronomy
20 Nonlinear Analysis. Real World Applications
19 Applied Mathematics Letters
19 Discrete and Continuous Dynamical Systems. Series B
18 Discrete and Continuous Dynamical Systems
16 Dynamical Systems
15 Chaos, Solitons and Fractals
15 Complexity
15 Journal of Applied Analysis and Computation
14 Nonlinearity
14 Discrete Dynamics in Nature and Society
14 Regular and Chaotic Dynamics
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Communications in Nonlinear Science and Numerical Simulation
12 Journal of Mathematical Physics
12 Journal of Nonlinear Science
12 Journal of Difference Equations and Applications
12 Journal of Function Spaces
11 Topology and its Applications
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Rendiconti del Circolo Matemàtico di Palermo. Serie II
10 Mathematical Problems in Engineering
10 SIAM Journal on Applied Dynamical Systems
9 Proceedings of the American Mathematical Society
9 Ergodic Theory and Dynamical Systems
9 Physica D
9 Acta Mathematica Sinica. English Series
9 Differential Equations
9 Communications on Pure and Applied Analysis
8 Rocky Mountain Journal of Mathematics
8 Journal of Geometry and Physics
8 Journal of Computational and Applied Mathematics
8 Nonlinear Analysis. Modelling and Control
8 Mediterranean Journal of Mathematics
7 Mathematische Zeitschrift
7 Transactions of the American Mathematical Society
7 Indagationes Mathematicae. New Series
7 Chaos
7 Journal of Dynamical and Control Systems
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 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 Results in Mathematics
5 Topological Methods in Nonlinear Analysis
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Discrete and Continuous Dynamical Systems. Series S
4 Communications in Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Physics Letters. A
4 Journal of Algebra
4 Mathematics and Computers in Simulation
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Applied Mathematics and Computing
4 Boundary Value Problems
4 International Journal of Biomathematics
3 International Journal of Theoretical Physics
3 Israel Journal of Mathematics
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 Journal of Mathematical Chemistry
3 Differential Equations and Dynamical Systems
3 Taiwanese Journal of Mathematics
3 Communications in Contemporary Mathematics
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Fixed Point Theory and Applications
3 Applied General Topology
3 Symmetry
3 Mathematics
3 Applied Mathematics and Nonlinear Sciences
2 Acta Mechanica
2 International Journal of Control
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Anais da Academia Brasileira de Ciências
...and 152 more Journals
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Cited in 57 Fields

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

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