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Communications in Nonlinear Science and Numerical Simulation

Short Title: Commun. Nonlinear Sci. Numer. Simul.
Publisher: Elsevier, Amsterdam
ISSN: 1007-5704
Online: https://www.sciencedirect.com/journal/communications-in-nonlinear-science-and-numerical-simulation/issues
Documents Indexed: 5,725 Publications (since 1996)
References Indexed: 5,443 Publications with 169,375 References.
all top 5

Authors

46 Machado, José António Tenreiro
35 Hayat, Tasawar
32 Guo, Boling
30 Băleanu, Dumitru I.
30 Biswas, Anjan
30 Sanjuán, Miguel A. F.
28 Wazwaz, Abdul-Majid Abdul-Rahman
27 Luo, Albert C. J.
27 Shang, Pengjian
26 Ibragimov, Nail Hairullovich
26 Liao, Shijun
24 Tian, Bo
23 Kudryashov, Nikolaĭ Alekseevich
23 Meleshko, Sergey V.
21 Abbasbandy, Saeid
21 Xu, Wei
21 Zhong, Shou-Ming
18 Malomed, Boris A.
18 Yu, Pei
17 Chen, Guanrong
17 Rand, Richard H.
16 Macías-Díaz, Jorge Eduardo
15 Gandarias Núñez, Maria Luz
15 Tarasov, Vasily E.
15 Vajravelu, Kuppalapalle
15 Wang, Jiang
15 Wang, Jinrong
14 Chen, Lansun
14 Chen, Yong
14 He, Jihuan
14 Ma, Jun
14 Wang, Ke
13 Awrejcewicz, Jan
13 Cao, Jinde
13 Deng, Bin
13 Khalique, Chaudry Masood
13 Li, Yongkun
13 Lü, Xing
13 Ma, Wen-Xiu
13 Ruan, Jiong
13 Wang, Xingyuan
13 Yamapi, René
12 Bowong, Samuel
12 He, Jingsong
12 Kim, Junseok
12 Maleknejad, Khosrow
12 Sun, Jianqiao
12 Tian, Lixin
12 van Gorder, Robert Ashton
12 Wiggins, Stephen
11 Algaba, Antonio
11 Asghar, Saleem
11 Batista, Antonio Marcos
11 Bi, Qinsheng
11 Chen, Guoqian
11 Fu, Xilin
11 Kevrekidis, Panayotis G.
11 Kofané, Timoléon Crépin
11 Li, Houqiang
11 Lin, Chang
11 Ma, Junhai
11 Masdemont, Josep J.
11 Noorani, Mohd Salmi Mohd
11 O’Regan, Donal
11 Pop, Ioan
11 Wei, Xile
11 Woafo, Paul
11 Zaslavskiĭ, Georgiĭ Moiseevich
11 Zhang, Hongqing
10 Akhmet, Marat Ubaydulla
10 Dehghan Takht Fooladi, Mehdi
10 Fečkan, Michal
10 Gómez, Gerard
10 Jiang, Daqing
10 Kurths, Jürgen
10 Li, Xiaodi
10 Liao, Xiaofeng
10 Lopes, António M.
10 Ramm, Alexander G.
10 Ryashko, Lev Borisovich
10 Starkov, Konstantin E.
10 Tchawoua, Clement
10 Wang, Lei
10 Wong, Kwokwo
10 Xiao, Di
10 Zhang, Yufeng
9 Agarwal, Ravi P.
9 Ayub, Muhammad
9 Balasubramaniam, Pagavathigounder
9 Bashkirtseva, Irina Adol’fovna
9 Bruzón, Maria Santos
9 Butcher, Eric A.
9 Cao, Hongjun
9 Doroshin, Anton V.
9 Fang, Tiegang
9 Gao, Yitian
9 Hashim, Ishak
9 Kovacic, Ivana
9 Liu, Xinzhi
9 Lu, Qishao
...and 8,731 more Authors
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Fields

1,527 Partial differential equations (35-XX)
1,277 Ordinary differential equations (34-XX)
1,228 Dynamical systems and ergodic theory (37-XX)
834 Biology and other natural sciences (92-XX)
752 Numerical analysis (65-XX)
713 Fluid mechanics (76-XX)
648 Systems theory; control (93-XX)
410 Mechanics of particles and systems (70-XX)
336 Mechanics of deformable solids (74-XX)
301 Statistical mechanics, structure of matter (82-XX)
242 Probability theory and stochastic processes (60-XX)
238 Information and communication theory, circuits (94-XX)
206 Real functions (26-XX)
206 Optics, electromagnetic theory (78-XX)
202 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
162 General and overarching topics; collections (00-XX)
145 Computer science (68-XX)
140 Operations research, mathematical programming (90-XX)
134 Statistics (62-XX)
120 Classical thermodynamics, heat transfer (80-XX)
110 Quantum theory (81-XX)
86 Integral equations (45-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
79 Geophysics (86-XX)
69 Operator theory (47-XX)
67 Difference and functional equations (39-XX)
51 Special functions (33-XX)
43 Measure and integration (28-XX)
42 Combinatorics (05-XX)
35 Astronomy and astrophysics (85-XX)
30 Global analysis, analysis on manifolds (58-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Approximations and expansions (41-XX)
19 Relativity and gravitational theory (83-XX)
17 Integral transforms, operational calculus (44-XX)
12 Nonassociative rings and algebras (17-XX)
11 Number theory (11-XX)
10 Differential geometry (53-XX)
9 Functions of a complex variable (30-XX)
7 Functional analysis (46-XX)
7 General topology (54-XX)
5 History and biography (01-XX)
5 Topological groups, Lie groups (22-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

3,892 Publications have been cited 31,858 times in 20,337 Documents Cited by Year
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
384
2011
Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126
Liao, Shijun
235
2009
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
179
2009
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
167
2012
Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Zbl 1333.34007
Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Castro-Linares, Rafael
163
2015
An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088
Liao, Shijun
144
2010
Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012
Meral, F. C.; Royston, T. J.; Magin, R.
140
2010
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
120
2018
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
117
2012
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
117
2008
A Caputo fractional derivative of a function with respect to another function. Zbl 1465.26005
Almeida, Ricardo
110
2017
On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
109
2018
Lyapunov functions for fractional order systems. Zbl 07175104
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.
109
2014
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
105
2009
On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263
Khader, M. M.
105
2011
Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087
Li, Yuanlu
104
2010
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
Saadatmandi, Abbas; Dehghan, Mehdi; Azizi, Mohammad-Reza
100
2012
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
98
2012
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038
Almeida, Ricardo; Torres, Delfim F. M.
98
2011
The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations. Zbl 1221.34068
Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping
98
2011
An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022
Liao, Shijun
97
2006
Fractional Poisson process. Zbl 1025.35029
Laskin, Nick
94
2003
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091
Wang, Xing-Yuan; Song, Jun-Mei
94
2009
Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002
Zhu, Li; Fan, Qibin
92
2012
No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015
Tarasov, Vasily E.
88
2013
New solitons and kink solutions for the Gardner equation. Zbl 1118.35352
Wazwaz, Abdul-Majid
85
2007
Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045
Kar, Tapan Kumar
81
2005
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
79
2011
The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
78
2013
Some applications of fractional equations. Zbl 1041.35073
Weitzner, H.; Zaslavsky, G. M.
77
2003
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
77
2008
On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230
Rafikov, Marat; Balthazar, José Manoel
76
2008
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
73
2009
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624
Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan
68
2013
Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031
Bhalekar, Sachin; Daftardar-Gejji, Varsha
67
2010
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
66
2012
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. Zbl 1222.35062
Vitanov, Nikolay K.
66
2010
New concepts and results in stability of fractional differential equations. Zbl 1252.35276
Wang, Jinrong; Lv, Linli; Zhou, Yong
65
2012
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062
Esmaeili, Shahrokh; Shamsi, M.
65
2011
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278
Jafari, H.; Seifi, S.
65
2009
Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019
Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M.
64
2013
Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010
Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
63
2013
A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter. Zbl 1221.94049
Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry
62
2009
Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208
Mazandarani, Mehran; Kamyad, Ali Vahidian
62
2013
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
61
2009
New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372
Wazwaz, Abdul-Majid
61
2008
Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan
59
2012
The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Zbl 1078.35108
Wazwaz, Abdul-Majid
59
2006
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
59
2012
Fractional dynamics of systems with long-range interaction. Zbl 1106.35103
Tarasov, Vasily E.; Zaslavsky, George M.
58
2006
A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. Zbl 1221.65354
Saeedi, H.; Moghadam, M. Mohseni; Mollahasani, N.; Chuev, G. N.
58
2011
The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan
58
2012
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
57
2009
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
57
2014
Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157
Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin
56
2013
Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
56
2011
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243
Maleknejad, Khosrow; Hashemizadeh, Elham; Basirat, B.
55
2012
The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034
Li, Yongfeng; Cui, Jingan
55
2009
Volterra-type Lyapunov functions for fractional-order epidemic systems. Zbl 1440.92067
Vargas-De-León, Cruz
55
2015
How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019
Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain
54
2010
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
54
2011
Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Zbl 1127.76069
Haroun, Mohamed H.
54
2007
An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009
He, Jihuan
53
1998
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099
Bhrawy, Ali H.; Alofi, A. S.
53
2012
Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439
Jafari, H.; Seifi, S.
52
2009
A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048
Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar
52
2009
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208
Van Gorder, Robert A.; Vajravelu, K.
52
2009
Complete controllability of fractional evolution systems. Zbl 1248.93029
Wang, Jinrong; Zhou, Yong
52
2012
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
51
2011
Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321
Antonova, Mariana; Biswas, Anjan
51
2009
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Zbl 1221.65334
Maleknejad, K.; Hashemizadeh, E.; Ezzati, R.
51
2011
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China. Zbl 1444.92114
Ivorra, B.; Ferrández, M. R.; Vela-Pérez, Maria; Ramos, A. M.
50
2020
Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
50
2009
Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Zbl 1221.93254
Balasubramaniam, P.; Vembarasan, V.; Rakkiyappan, R.
50
2011
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
49
2010
A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Zbl 1223.45007
Wang, Jinrong; Zhou, Yong; Wei, W.
48
2011
Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations. Zbl 1221.34083
Grace, Said R.; Agarwal, Ravi P.; Bohner, Martin; O’Regan, Donal
48
2009
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
48
2009
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140
Saeedi, H.; Moghadam, M. Mohseni
48
2011
On shifted Jacobi spectral method for high-order multi-point boundary value problems. Zbl 1251.65112
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.
47
2012
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106
Li, Xiaodi; Rakkiyappan, R.
46
2013
Synchronization of the unified chaotic system and application in secure communication. Zbl 1221.94047
Grzybowski, J. M. V.; Rafikov, M.; Balthazar, J. M.
46
2009
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373
Wazwaz, Abdul-Majid
46
2008
A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N.
46
2010
Robust finite-time \(H_{\infty }\) control for a class of uncertain switched neutral systems. Zbl 1239.93036
Xiang, Zhengrong; Sun, Ya-Nan; Mahmoud, Magdi S.
45
2012
Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Zbl 1248.93146
Aghababa, Mohammad Pourmahmood
45
2012
Bifurcations of fuzzy nonlinear dynamical systems. Zbl 1078.37049
Hong, Ling; Sun, Jian-Qiao
45
2006
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152
Liu, Meng; Wang, Ke
45
2011
Viscous flow over a shrinking sheet with a second order slip flow model. Zbl 1222.76028
Fang, Tiegang; Yao, Shanshan; Zhang, Ji; Aziz, Abdul
45
2010
Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077
Sakthivel, R.; Ren, Y.
45
2012
Leibniz type rule: \(\psi\)-Hilfer fractional operator. Zbl 1477.26012
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
44
2019
Two positive solutions for \((n - 1,1)\)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations. Zbl 1248.35225
Yuan, Chengjun
44
2012
A new spectral-homotopy analysis method for solving a nonlinear second order BVP. Zbl 1222.65090
Motsa, S. S.; Sibanda, P.; Shateyi, S.
44
2010
Grey system model with the fractional order accumulation. Zbl 1274.62639
Wu, Lifeng; Liu, Sifeng; Yao, Ligen; Yan, Shuli; Liu, Dinglin
43
2013
The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models. Zbl 1221.65178
Wazwaz, Abdul-Majid
43
2011
Homotopy analysis method for singular IVPs of Emden-Fowler type. Zbl 1221.65197
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I.
43
2009
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
43
2010
Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227
Matouk, A. E.
43
2011
Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays. Zbl 1221.93247
Zhu, Quanxin; Cao, Jinde
43
2011
Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations. Zbl 1222.65147
Maleknejad, K.; Almasieh, H.; Roodaki, M.
43
2010
KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
4
2022
Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry. Zbl 07427989
Nozaleda, Daniel Reyes; Tempesta, Piergiulio; Tondo, Giorgio
2
2022
Certain electromagnetic waves in a ferromagnetic film. Zbl 07443076
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yin, Hui-Min; Du, Xia-Xia; Yang, Dan-Yu
2
2022
PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. Zbl 07443077
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong
2
2022
Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. Zbl 1476.65145
Rufai, Mufutau Ajani; Ramos, Higinio
2
2022
KAM quasi-periodic solutions for the dissipative standard map. Zbl 07443110
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
2
2022
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 07469331
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong
2
2022
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. Zbl 1481.78025
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao
2
2022
A bridge between invariant dynamical structures and uncertainty quantification. Zbl 1483.37114
García-Sánchez, G.; Mancho, A. M.; Wiggins, S.
1
2022
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes. Zbl 1477.74042
Jin, Qiduo; Ren, Yiru
1
2022
On a new class of abstract mixed variational-hemivariational problems. Zbl 1477.49018
Matei, Andaluzia
1
2022
Analysis and discretization of a variable-order fractional wave equation. Zbl 07428007
Zheng, Xiangcheng; Wang, Hong
1
2022
On the stability of satellites at unstable libration points of Sun-planet-Moon systems. Zbl 07428013
Reiff, Johannes; Zatsch, Jonas; Main, Jörg; Hernandez, Rigoberto
1
2022
On numerical approximations of fractional-order spiking neuron models. Zbl 1478.92036
AbdelAty, A. M.; Fouda, M. E.; Eltawil, A. M.
1
2022
Computer assisted proof of drift orbits along normally hyperbolic manifolds. Zbl 07443097
Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D.
1
2022
Nonlinear dynamic analysis of nonlocal composite laminated toroidal shell segments subjected to mechanical shock. Zbl 07443106
Karimipour, I.; Beni, Y. Tadi
1
2022
Response probability density function for non-bijective transformations. Zbl 07469359
La Valle, Gabriele; Laudani, Rossella; Falsone, Giovanni
1
2022
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro
17
2021
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
8
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CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. Zbl 1473.37004
Kapela, Tomasz; Mrozek, Marian; Wilczak, Daniel; Zgliczyński, Piotr
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Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? Zbl 1466.65086
Zaky, Mahmoud A.; Hendy, Ahmed S.; Alikhanov, Anatoly A.; Pimenov, Vladimir G.
7
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Convergence of a generalized penalty method for variational-hemivariational inequalities. Zbl 07274884
Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai; Yao, Jen-Chih
6
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Fractional-order models for the static and dynamic analysis of nonlocal plates. Zbl 1459.74112
Patnaik, Sansit; Sidhardh, Sai; Semperlotti, Fabio
6
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Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations. Zbl 1464.34005
Ahmadova, Arzu; Huseynov, Ismail T.; Fernandez, Arran; Mahmudov, Nazim I.
6
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Hidden attractors and multistability in a modified Chua’s circuit. Zbl 1456.34057
Wang, Ning; Zhang, Guoshan; Kuznetsov, N. V.; Bao, Han
5
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Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Zbl 1455.65113
Salahshour, Soheil; Ahmadian, Ali; Pansera, Bruno A.; Ferrara, Massimiliano
5
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The damping accumulated grey model and its application. Zbl 1457.62269
Liu, Lianyi; Chen, Yan; Wu, Lifeng
5
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An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. Zbl 1455.65017
Moghaddam, B. P.; Mostaghim, Z. S.; Pantelous, Athanasios A.; Machado, J. A. Tenreiro
4
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The generalized Duffing oscillator. Zbl 07274921
Kudryashov, Nikolay A.
4
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Optimal control strategies of Zika virus model with mutant. Zbl 1453.92285
Alzahrani, Ebraheem O.; Ahmad, Wisal; Altaf Khan, Muhammad; Malebary, Sharaf J.
4
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Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
4
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Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter. Zbl 1458.74059
Liu, Chaoran; Yu, Kaiping; Liao, Baopeng; Hu, Rongping
4
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Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment. Zbl 1456.82635
Zhai, Cong; Wu, Weitiao
4
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On non-uniqueness of recovering Sturm-Liouville operators with delay. Zbl 1468.34024
Djurić, Nebojša; Buterin, Sergey
4
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Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19. Zbl 1470.92340
Ramos, A. M.; Vela-Pérez, M.; Ferrández, M. R.; Kubik, A. B.; Ivorra, B.
4
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Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073
Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh
4
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Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 1471.65102
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
4
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Complex-order particle swarm optimization. Zbl 1454.90116
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza
3
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Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control. Zbl 1453.93041
Zou, Min; Fang, Pan; Hou, Yongjun; Wang, Yuanguo; Hou, Duyu; Peng, Huan
3
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A robust and contact preserving flux splitting scheme for compressible flows. Zbl 1452.65190
Hu, Lijun; Feng, Sebert
3
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(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.
3
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Bistable labyrinth-like structures and chimera states in a 2D lattice of van der Pol oscillators. Zbl 1456.34035
Shepelev, Igor A.; Anishchenko, V. S.
3
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CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models. Zbl 1461.92043
León-Triana, Odelaisy; Sabir, Soukaina; Calvo, Gabriel F.; Belmonte-Beitia, Juan; Chulián, Salvador; Martínez-Rubio, Álvaro; Rosa, María; Pérez-Martínez, Antonio; Ramirez-Orellana, Manuel; Pérez-García, Víctor M.
3
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On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate. Zbl 1456.74052
Ghobadi, Amin; Golestanian, Hossein; Beni, Yaghoub Tadi; Żur, Krzysztof Kamil
3
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Dynamic transport: from bifurcation to multistability. Zbl 1458.37089
Li, Chunbiao; Chen, Guanrong; Kurths, Jürgen; Lei, Tengfei; Liu, Zuohua
3
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Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. Zbl 1456.35073
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng
3
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Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. Zbl 1456.35072
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng
3
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A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation. Zbl 1473.35495
Zhang, Zhao; Guo, Qi; Li, Biao; Chen, Junchao
3
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Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems. Zbl 1473.37103
Śliwiak, Adam A.; Chandramoorthy, Nisha; Wang, Qiqi
3
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A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting. Zbl 1461.90143
Yu, Lang; Ma, Xin; Wu, Wenqing; Wang, Yong; Zeng, Bo
3
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Traveling wave solutions for a diffusive age-structured SIR epidemic model. Zbl 1467.37093
Wu, Shi-Liang; Chen, Linya; Hsu, Cheng-Hsiung
3
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Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. Zbl 1471.65123
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A.
3
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A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations. Zbl 1452.35211
Cherniha, Roman; Serov, Mykola; Prystavka, Yulia
2
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Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping. Zbl 1452.35104
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2
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Spatiotemporal pattern formation in 2D prey-predator system with nonlocal intraspecific competition. Zbl 1452.35223
Pal, Swadesh; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay
2
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Collective behavior of a nearest neighbor coupled system in a dichotomous fluctuating potential. Zbl 1453.82068
Zhang, Lu; Xu, Ling; Yu, Tao; Lai, Li; Zhong, Suchuan
2
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Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
2
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Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model. Zbl 1453.82048
Zhang, Yicai; Zhao, Min; Sun, Dihua; Wang, Shi hui; Huang, Shuai; Chen, Dong
2
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Investigation of solitons and mixed lump wave solutions with \((3+1)\)-dimensional potential-YTSF equation. Zbl 1456.37078
Younis, Muhammad; Ali, Safdar; Rizvi, Syed Tahir Raza; Tantawy, Mohammad; Tariq, Kalim U.; Bekir, Ahmet
2
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Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation. Zbl 1454.35318
Benoudina, Nardjess; Zhang, Yi; Khalique, Chaudry Masood
2
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Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit. Zbl 07280107
Rao, Xiao-Bo; Zhao, Xu-Ping; Gao, Jian-She; Zhang, Jian-Gang
2
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Kink-antikink collisions in the periodic \(\varphi^4\) model. Zbl 1454.83144
Mohammadi, Mohammad; Dehghani, Rayhaneh
2
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Stability analysis in COVID-19 within-host model with immune response. Zbl 1457.92155
Almocera, Alexis Erich S.; Quiroz, Griselda; Hernandez-Vargas, Esteban A.
2
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Contraction of stochastic differential equations. Zbl 1458.34105
Anh Ngoc, Pham Huu
2
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A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity. Zbl 1473.74067
Zang, Jian; Cao, Run-Qing; Zhang, Ye-Wei; Fang, Bo; Chen, Li-Qun
2
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Pricing EIA with cliquet-style guarantees under time-changed Lévy models by frame duality projection. Zbl 1458.91188
Shi, Benxuan; Zhang, Zhimin
2
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Stability and interaction of compactons in the sublinear KdV equation. Zbl 1473.35489
Pelinovsky, Dmitry E.; Slunyaev, Alexey V.; Kokorina, Anna V.; Pelinovsky, Efim N.
2
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Flow map parameterization methods for invariant tori in Hamiltonian systems. Zbl 1473.37100
Haro, Alex; Mondelo, J. M.
2
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A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation. Zbl 1480.35363
Wang, Rui-Qi; Ling, Liming; Zeng, Delu; Feng, Bao-Feng
2
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Variable-order fractional calculus: a change of perspective. Zbl 1471.26002
Garrappa, Roberto; Giusti, Andrea; Mainardi, Francesco
2
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Mean-square contractivity of stochastic \(\vartheta\)-methods. Zbl 1464.65009
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
2
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On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem. Zbl 1459.49011
Almeida, Ricardo; Kamocki, Rafał; Malinowska, Agnieszka B.; Odzijewicz, Tatiana
2
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Introducing phase jump tracking – a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. Zbl 1462.35348
Chekhovskoy, Igor; Medvedev, S. B.; Vaseva, I. A.; Sedov, E. V.; Fedoruk, M. P.
2
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An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. Zbl 1458.60073
Hyder, Abd-Allah; Soliman, Ahmed H.
2
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\((2+1)\)-dimensional AKNS \((-N)\) systems. II. Zbl 1459.35079
Gürses, Metin; Pekcan, Aslı
2
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A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244
Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram
2
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Analytically pricing volatility swaps and volatility options with discrete sampling: nonlinear payoff volatility derivatives. Zbl 1464.91073
Rujivan, Sanae; Rakwongwan, Udomsak
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Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. Zbl 1471.65138
Ehstand, Noémie; Kuehn, Christian; Soresina, Cinzia
2
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A fractional-order compartmental model for the spread of the COVID-19 pandemic. Zbl 1468.34061
Biala, T. A.; Khaliq, A. Q. M.
2
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Networked sampled-data control of distributed parameter systems via distributed sensor networks. Zbl 1464.93046
Ji, Huihui; Cui, Baotong; Liu, Xinzhi
2
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Explosive death induced by environmental coupling. Zbl 1467.37090
Liu, Shutong; Sun, Zhongkui; Zhao, Nannan; Xu, Wei
2
2021
Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents. Zbl 1469.78019
Górska, K.; Horzela, A.; Pogány, T. K.
2
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Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity. Zbl 1462.81077
Dong, Liangwei; Liu, Dongshuai; Qi, Wei; Wang, Linxue; Zhou, Hui; Peng, Ping; Huang, Changming
2
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A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales. Zbl 1466.62431
Ding, Song; Li, Ruojin; Wu, Shu
2
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Anomalous fractional magnetic field diffusion through cross-section of a massive toroidal ferromagnetic core. Zbl 1471.78012
Ducharne, Benjamin; Tsafack, P.; Tene Deffo, Y. A.; Zhang, B.; Sebald, G.
1
2021
Completely integrable dynamical systems of Hopf-Langford type. Zbl 1454.37056
Nikolov, Svetoslav G.; Vassilev, Vassil M.
1
2021
A cross-diffusive evolution system arising from biological transport networks. Zbl 1452.35221
Li, Bin; Li, Xie
1
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The finite volume method on Sierpiński simplices. Zbl 1455.28011
Riane, Nizar; David, Claire
1
2021
A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes. Zbl 1452.76139
Yuan, Ruifeng; Liu, Sha; Zhong, Chengwen
1
2021
Group classification for a class of non-linear models of the RAPM type. Zbl 1452.91306
Fedorov, Vladimir E.; Dyshaev, Mikhail M.
1
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A novel multiscale discrete velocity method for model kinetic equations. Zbl 1454.76060
Yuan, Ruifeng; Liu, Sha; Zhong, Chengwen
1
2021
Quenching and restoration of oscillations under environmental interactions. Zbl 1456.34030
Bera, Bidesh K.
1
2021
Monitoring Lévy-process crossovers. Zbl 1453.82073
dos Santos, Maike A. F.; Nobre, Fernando D.; Curado, Evaldo M. F.
1
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Stochastic multiresonance in oscillators induced by bounded noise. Zbl 1457.34097
Bobryk, R. V.
1
2021
Significance of additional food to mutually interfering predator under herd behavior of prey on the stability of a spatio-temporal system. Zbl 1454.92036
Batabyal, Arthita; Jana, Debaldev
1
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Relaxation modes of a system of diffusion coupled oscillators with delay. Zbl 1458.34122
Kashchenko, A. A.
1
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Characterization of long-term behavior of stochastic NP ecological model under regime switching. Zbl 1458.34094
Tuong, Tran D.; Nguyen, Nhu N.
1
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Asymmetric feedback enhances rhythmicity in damaged systems of coupled fractional oscillators. Zbl 1454.93058
Liu, Yuanyuan; Sun, Zhongkui; Yang, Xiaoli; Xu, Wei
1
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Synchronization patterns in rings of time-delayed Kuramoto oscillators. Zbl 1453.93151
Dénes, Károly; Sándor, Bulcsú; Néda, Zoltán
1
2021
Müntz pseudo-spectral method: theory and numerical experiments. Zbl 1453.65358
Khosravian-Arab, Hassan; Eslahchi, M. R.
1
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99 Dehghan Takht Fooladi, Mehdi
99 Machado, José António Tenreiro
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74 Wang, Jinrong
72 Agarwal, Ravi P.
72 Khalique, Chaudry Masood
71 Bhrawy, Ali Hassan
70 Ahmad, Bashir
63 van Gorder, Robert Ashton
58 Vaidyanathan, Sundarapandian
57 Pop, Ioan
54 Nieto Roig, Juan Jose
53 Vajravelu, Kuppalapalle
52 Teng, Zhi-dong
51 Abdeljawad, Thabet
49 Zhu, Quanxin
48 Hashim, Ishak
48 Li, Yongkun
48 O’Regan, Donal
48 Sajid, Muhammad
48 Wang, Xingyuan
47 Liao, Shijun
47 Nadeem, Sohail
47 Wu, Yonghong
46 Khader, Mohamed M.
46 Liu, Xinzhi
46 Maleknejad, Khosrow
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46 Tarasov, Vasily E.
45 Jiang, Haijun
45 Macías-Díaz, Jorge Eduardo
44 Balasubramaniam, Pagavathigounder
44 Ganji, Davood Domiri
44 Liu, Lishan
44 Noorani, Mohd Salmi Mohd
44 Shah, Kamal
43 Han, Zhenlai
43 Ma, Wen-Xiu
42 Xu, Wei
41 Momani, Shaher M.
41 Motsa, Sandile Sydney
41 Zhou, Yong
40 Fang, Jian’an
40 Jafari, Sajad
39 Ordokhani, Yadollah
39 Rashidi, Mohammad Mehdi
38 Asghar, Saleem
38 Sibanda, Precious
37 Heydari, Mohammad Hossien
37 Rakkiyappan, Rajan
36 Chen, Guanrong
36 Inc, Mustafa
36 Li, Xiaodi
36 Ntouyas, Sotiris K.
36 Sakthivel, Rathinasamy
35 Doha, Eid H.
35 Hu, Cheng
35 Jiang, Daqing
35 Pham, Viet-Thanh
34 Bekir, Ahmet
34 Chen, Fengde
34 Luo, Albert C. J.
34 Zhang, Fuchen
33 Kim, Junseok
33 Parand, Kourosh
33 Xu, Changjin
33 Zhou, Wuneng
32 Bruzón, Maria Santos
32 Ouannas, Adel
32 Tian, Shoufu
32 Zhao, Min
31 Gandarias Núñez, Maria Luz
31 Jafari, Hossein
31 Jiang, Yaolin
31 Kwon, O. M.
31 Wang, Zhen
31 Yıldırım, Ahmet
30 Avazzadeh, Zakieh
30 Cui, Yujun
30 Kiliçman, Adem
30 Kurths, Jürgen
30 Liao, Xiaofeng
30 Torres, Delfim Fernando Marado
30 Zhang, Xinguang
29 Almeida, Ricardo
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