## Discontinuity, Nonlinearity, and Complexity

 Short Title: Discontin. Nonlinearity Complex. Publisher: L & H Scientific Publishing, Glen Carbon, IL ISSN: 2164-6376; 2164-6414/e Online: https://www.lhscientificpublishing.com/Journals/DNC-Download.aspx
 Documents Indexed: 204 Publications (since 2012) References Indexed: 14 Publications with 623 References.
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### Latest Issues

 10, No. 4 (2021) 9, No. 3 (2020) 9, No. 1 (2020) 8, No. 3 (2019) 8, No. 2 (2019) 8, No. 1 (2019) 7, No. 4 (2018) 7, No. 3 (2018) 7, No. 2 (2018) 7, No. 1 (2018) 6, No. 3 (2017) 6, No. 2 (2017) 6, No. 1 (2017) 5, No. 4 (2016) 5, No. 3 (2016) 5, No. 2 (2016) 5, No. 1 (2016) 4, No. 4 (2015) 4, No. 3 (2015) 4, No. 2 (2015) 4, No. 1 (2015) 3, No. 4 (2014) 3, No. 3 (2014) 3, No. 2 (2014) 3, No. 1 (2014) 2, No. 4 (2013) 2, No. 3 (2013) 2, No. 2 (2013) 2, No. 1 (2013) 1, No. 4 (2012) 1, No. 3 (2012) 1, No. 2 (2012) 1, No. 1 (2012)
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### Authors

 9 Vougalter, Vitali 8 Akhmet, Marat Ubaydulla 8 Balachandran, Krishnan 6 Luo, Albert C. J. 6 Volpert, Vitaly A. 5 Anguraj, Annamalai 5 Ibragimov, Nail Hairullovich 4 Agarwal, Ravi P. 4 Choudhury, Sudipto Roy 4 Harikrishnan, Sugumaran 4 Kovalevsky, Dmitry V. 4 Sathiyanathan, K. 4 Uchaĭkin, Vladimir Vasil’evich 4 Vivek, Devaraj 3 Annapoorani, Natarajan 3 Aziz-Alaoui, Moulay-Ahmed 3 Beniani, Abderrahmane 3 Chalishajar, Dimplekumar N. 3 Ibragimov, Ranis N. 3 Karthikeyan, Kulandhivel 3 Suvinthra, Murugan 3 Zennir, Khaled 3 Zhang, Yufeng 2 Afraimovich, Valentin S. 2 Anastassiou, George Angelos 2 Anishchenko, Vadim Semenovich 2 Avdonina, Elena D. 2 Băleanu, Dumitru I. 2 Banisch, Sven 2 Blanchard, Philippe 2 Boutoulout, Ali 2 Deng, Bo 2 Fen, Mehmet Onur 2 Fu, Xilin 2 Ghose Choudhury, Anindya 2 Gopal, Thangaraj Nandha 2 Govindaraj, Venkatesan 2 Guha, Partha 2 Hasselmann, Klaus 2 Jamilov, Uygun U. 2 Klyatskin, Valery I. 2 Medina, Jorge A. Castillo 2 Mondal, Ashok 2 Murugesu, R. 2 Nápoles Valdés, Juan E. 2 Prants, Sergey V. 2 Rozikov, Utkir A. 2 Ruy, Danilo V. 2 Salahuddin 2 Sambath, Muniyagounder 2 Sarwardi, Sahabuddin 2 Semenova, Nadezhda Igorevna 2 Singh, Ram Mehar 2 Sivabalan, M. 2 Sivasamy, R. 2 Stepanyants, Yury A. 2 Tanriver, Ugur 2 Uleysky, Michael Yu. 2 Vyridis, Panayotis 2 Yafia, Radouane 2 Yuan, Jian 1 Abdelli, Mama 1 Abhinav, Kumar 1 Abichou, Azgal 1 Abid, Walid 1 Abirami, Karunanidhi 1 Adeniji, Adejimi Adesola 1 Agarwal, Ritu 1 Al-Hdaibat, Bashir 1 Ali, Nijamuddin 1 Alipour, Mohsen 1 Allognissode, Fulbert Kuessi 1 Arjunan, Mani Mallika 1 Asadbeigi, Ayyob 1 Assanova, Anar Turmaganbetkyzy 1 Atay, Fatihcan M. 1 Ay, Nihat 1 Bai, Yuexing 1 Banupriya, K. 1 Barnes, Andrew 1 Benkhali, Mohammed 1 Berbiche, Mohamed 1 Berkane, Abdelhak 1 Berwald, Jesse J. 1 Bhardwaj, S. B. 1 Bhatt, Dhawal J. 1 Bhattacharyya, Anindita 1 Bhuvaneswari, Venkatasubramaniam 1 Bilige, Sudao 1 Bonane, S. Mushi 1 Bose, Sanghita 1 Bouhafa, Habib 1 Bozhkov, Yuri Dimitrov 1 Braik, Abdelkader 1 Briolle, Françoise 1 Budyansky, M. V. 1 Çağ, Sabahattin 1 Carvalho, Ana R. M. 1 Cessac, Bruno 1 Chand, Fakir ...and 225 more Authors
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### Fields

 69 Ordinary differential equations (34-XX) 56 Dynamical systems and ergodic theory (37-XX) 39 Biology and other natural sciences (92-XX) 38 Partial differential equations (35-XX) 26 Systems theory; control (93-XX) 19 Mechanics of particles and systems (70-XX) 15 Integral equations (45-XX) 14 Probability theory and stochastic processes (60-XX) 13 Real functions (26-XX) 13 Operator theory (47-XX) 10 Fluid mechanics (76-XX) 7 Combinatorics (05-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functional analysis (46-XX) 3 Operations research, mathematical programming (90-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 221 times in 185 Documents Cited by Year
Fractional maps and fractional attractors. Part II: Fractional difference Caputo $$\alpha$$-families of maps. Zbl 1333.34008
Edelman, M.
2015
Boundary value problems for impulsive fractional evolution integrodifferential equations with Gronwall’s inequality in Banach spaces. Zbl 1300.34151
Chalishajar, Dimplekumar N.; Karthikeyan, K.
2014
A semi-analytical prediction of periodic motions in Duffing oscillator through mapping structures. Zbl 1320.34059
Luo, Albert C. J.
2015
Unstable and stable period-$$m$$ motions in a twin-well potential Duffing oscillator. Zbl 1300.34080
Luo, Albert C. J.; Hang, Zianzhe
2012
Fractional maps and fractional attractors. Part I: $$\alpha$$-families of maps. Zbl 1335.37012
Edelman, M.
2012
Reversible mixed dynamics: a concept and examples. Zbl 1356.37043
Gonchenko, S. V.
2016
Bifurcation trees of period-$$m$$ motions to chaos in a time-delayed, quadratic nonlinear oscillator under a periodic excitation. Zbl 1401.70033
Luo, Albert C. J.; Jin, Hanxiang
2014
Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132
Suvinthra, M.; Balachandran, K.; Sambath, M.
2016
Controllability of nonlinear stochastic fractional systems with Lévy noise. Zbl 1377.93046
Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M.
2017
Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028
Ibragimov, N. H.
2012
On symmetric strictly non-Volterra quadratic stochastic operators. Zbl 1349.92123
Jamilov, U. U.
2016
Automatic recognition and tagging of topologically different regimes in dynamical systems. Zbl 1316.70021
Berwald, Jesse J.; Gidea, Marian; Vejdemo-Johansson, Mikael
2014
Dynamics and stability results of fractional integro-differential equations with complex order. Zbl 1417.45006
Vivek, D.; Kanagarajan, K.; Harikrishnan, S.
2018
The optimal control problem for linear systems of non-integer order with lumped and distributed parameters. Zbl 1333.49049
Kubyshkin, V. A.; Postnov, S. S.
2015
Exponentially dichotomous linear systems of differential equations with piecewise constant argument. Zbl 1300.34150
Akhmet, M.
2012
An analytic technique for the solutions of nonlinear oscillators with damping using the Abel equation. Zbl 1368.34003
Ghose-Choudhury, A.; Guha, Partha
2017
Establishing the onset, and parameter and spatial domains, of chaos in a smooth quadratic autonomous system using Sil’nikov criteria and competitive modes analysis. Zbl 1334.37034
Volgel, Thomas K.; Choudhury, S. Roy
2013
Heat conduction in anisotropic media: nonlinear self-adjointness and conservation laws. Zbl 1288.35272
Ibragimov, Nail H.; Avdonina, Elena D.
2012
Topology of delocalization in the nonlinear Anderson model and anomalous diffusion on finite clusters. Zbl 1320.35327
Milovanov, A. V.; Iomin, A.
2015
Analytic solution of time fractional Boussinesq equation for groundwater flow in unconfined aquifer. Zbl 1432.35217
2019
Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090
Rozikov, Utkir A.; Varro, Richard
2016
The dynamical behavior of a two degrees of freedom oblique impact system. Zbl 1441.74143
Tang, Xiaowei; Fu, Xilin; Sun, Xiaohui
2020
Global stability analysis of a general scalar difference equation. Zbl 1400.37022
Merdan, Huseyin; Gumus, Ozlem Ak; Karahisarli, Gamzegul
2018
Van der Pol oscillators generated from grazing dynamics. Zbl 1400.34050
Akhmet, M. U.; Kıvılcım, A.
2018
The effect of non-selective harvesting in predator-prey model with modified Leslie-Gower and Holling Type II schemes. Zbl 1407.37119
El Harraki, I.; Yafia, R.; Boutoulout, A.; Aziz-Alaoui, M. A.
2018
On large deviations of stochastic integrodifferential equations with Brownian motion. Zbl 1377.45005
Haseena, A.; Suvinthra, M.; Annapoorani, N.
2017
Existence and uniqueness of solutions for a coupled system of higher order fractional differential equations with integral boundary conditions. Zbl 1398.34016
Duraisamy, P.; Gopal, T. Nandha
2018
Dynamics of modified Leslie-Gower harvested predator-prey model with Beddington-De Angelis functional response. Zbl 1418.37084
Sivasamy, R.; Sivakumar, M.; Sathiyanathan, K.; Balachandran, K.
2019
Stability and bifurcation snalysis of three species predator-prey odel with Holling type II. Zbl 1418.37136
Sambath, M.; Gokila, C.
2019
Controllability of nonlinear fractional delay integrodifferential systems. Zbl 1341.93014
Nirmala, R. Joice; Balachandran, K.
2016
Cosmic evolution in fractional action cosmology. Zbl 1334.83084
Shchigolev, Victor K.
2013
Statistical mechanics of fragmentation-advection processes and nonlinear measurements problem. II. Zbl 1314.82025
2012
On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations. Zbl 1291.45012
Volpert, Vitaly; Vougalter, Vitali
2012
Ulam-Hyers-Rassias stability for semilinear equations. Zbl 1326.39025
Wang, Jinrong; Fečkan, Michal
2014
An $$2+1$$-dimensional expanding model of the Davey-Stewartson hierarchy as well as its Hamiltonian structure. Zbl 1316.37039
Zhang, Yufeng; Rui, Wenjuan; Tam, Hon-Wah
2014
Poincaré recurrences in the circle map: Fibonacci stairs. Zbl 1320.37020
Anishchenko, V. S.; Semenova, N. I.; Vadivasova, T. E.
2015
Synchronization of the cardiac pacemaker model with delayed pulse-coupling. Zbl 1300.34163
Akhmet, M.
2014
Spectrum of dimensions for escape time. Zbl 1334.37014
Afraimovich, Valentin; Vazquez, Rosendo
2013
Period-$$m$$ motions and bifurcation trees in a periodically excited, quadratic nonlinear oscillator. Zbl 1305.34055
Luo, Albert C. J.; Yu, Bo
2013
Analytical prediction of homoclinic bifurcations following a supercritical Hopf bifurcation. Zbl 1349.70046
Roy, Tanushree; Choudhury, Roy; Tanriver, Ugur
2016
On the solvability of nonlocal boundary value problem for the systems of impulsive hyperbolic equations with mixed derivatives. Zbl 1349.35232
Assanova, A. T.
2016
On quasi-periodic perturbations of Duffing equation. Zbl 1356.70032
Morozov, A. D.; Dragunov, T. N.
2016
A new local fractional derivative of $$q$$-uniform type. Zbl 1451.26011
Valdes, Juan E. Nápoles; Medina, Jorge A. Castillo; Guzmán, Paulo M.; Lugo, Luciano Miguel
2019
Homoclinic solutions in Bazykin’s predator-prey model. Zbl 1457.34072
Al-Hdaibat, Bashir
2020
A novel controllability analysis of impulsive fractional linear time invariant systems with state delay and distributed delays in control. Zbl 1400.93031
Sundara, Vadivoo B.; Raja, R.; Agarwal, R. P.; Rajchakit, G.
2018
Bifurcation and stability analysis of a diffusive predator-prey model with ratio-dependent type III functional response. Zbl 1377.37118
Sivakumar, M.; Balachandran, K.
2017
Almost periodicity in chaos. Zbl 1403.37032
Akhmet, Marat; Fen, Mehmet Onur
2018
Existence of solutions of stochastic fractional integrodifferential equations. Zbl 1398.45006
Umamaheswari, P.; Balachandran, K.; Annapoorani, N.
2018
A fundamental approach on non-integer order differential equation using nonlocal fractional sub-strips boundary conditions. Zbl 1418.35371
Subramanian, M.
2019
The probabilistic structure of discrete agent-based models. Zbl 1325.68232
Banisch, Sven
2014
Relaxation processes in many particle systems – recurrence relations approach. Zbl 1298.82040
Mokshin, Anatolii V.
2013
One kink solution for a variety of nonlinear fifth-order equations. Zbl 1288.35182
Wazwaz, Abdul-Majid
2012
Fractional electromagnetic wave. Zbl 1290.35314
Rosales, J. J.; Guía, M.; Gómez, J. F.; Tkach, V. I.
2012
Chaos generation in hyperbolic systems. Zbl 1444.37028
Akhmet, M. U.; Fen, M. O.
2012
A method for generating Lie algebras and applications. Zbl 1326.17018
Zhang, Yufeng
2012
Existence of solutions to weakly generalized vector $$F$$-implicit variational inequalities. Zbl 1290.49021
Salahuddin; Agarwal, R. P.
2012
Extended mixed AKNS-Lund-Regge model and its self-similarity reduction. Zbl 1311.37048
Ruy, D. V.; de Melo, G. R.
2014
On stationary solutions of the reduced Gardner-Ostrovsky equation. Zbl 1316.86002
Obregon, Maria; Stepanyants, Yury
2014
Hyperbolicity in the Ocean. Zbl 1326.37053
Prants, S. V.; Budyansky, M. V.; Uleysky, M. Yu.; Zhang, J.
2015
Stochastic patterns and the role of crowding. Zbl 1301.65008
Cianci, Claudia; Fanelli, Duccio
2013
Almost periodic solutions of second order neutral differential equations with functional response on piecewise constant argument. Zbl 1302.34106
Akhmet, M.
2013
Pulse phenomena for impulsive dynamical systems. Zbl 1302.34019
Zheng, Shasha; Fu, Xilin
2013
Approximate controllability of second-order neutral stochastic non-autonomous integrodifferential inclusions by resolvent operators. Zbl 1440.93036
Nirmalkumar, R.; Murugesu, R.
2019
On the existence of stationary solutions for some systems of integro-differential equations with anomalous diffusion. Zbl 1349.45019
Vougalter, Vitali; Volpert, Vitaly
2016
Existence of semi linear impulsive neutral evolution inclusions with infinite delay in Fréchet spaces. Zbl 1349.34253
Chalishajar, Dimplekumar N.; Karthikeyan, K.; Anguraj, A.
2016
Asymptotic behavior of solutions of singular integro-differential equations. Zbl 1349.45014
Dauylbaev, M. K.; Mirzakulova, A. E.
2016
Relaxation oscillations and chaos in a Duffing type equation: a case study. Zbl 1356.37085
Lerman, L.; Kazakov, A.; Kulagin, N.
2016
$$p$$-moment exponential stability of Caputo fractional differential equations with random impulses. Zbl 1369.34010
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal
2017
Period-3 motions to chaos in an inverted pendulum with a periodic base movement. Zbl 07487361
Guo, Chuan; Luo, Albert C. J.
2021
Period-3 motions to chaos in an inverted pendulum with a periodic base movement. Zbl 07487361
Guo, Chuan; Luo, Albert C. J.
2021
The dynamical behavior of a two degrees of freedom oblique impact system. Zbl 1441.74143
Tang, Xiaowei; Fu, Xilin; Sun, Xiaohui
2020
Homoclinic solutions in Bazykin’s predator-prey model. Zbl 1457.34072
Al-Hdaibat, Bashir
2020
Analytic solution of time fractional Boussinesq equation for groundwater flow in unconfined aquifer. Zbl 1432.35217
2019
Dynamics of modified Leslie-Gower harvested predator-prey model with Beddington-De Angelis functional response. Zbl 1418.37084
Sivasamy, R.; Sivakumar, M.; Sathiyanathan, K.; Balachandran, K.
2019
Stability and bifurcation snalysis of three species predator-prey odel with Holling type II. Zbl 1418.37136
Sambath, M.; Gokila, C.
2019
A new local fractional derivative of $$q$$-uniform type. Zbl 1451.26011
Valdes, Juan E. Nápoles; Medina, Jorge A. Castillo; Guzmán, Paulo M.; Lugo, Luciano Miguel
2019
A fundamental approach on non-integer order differential equation using nonlocal fractional sub-strips boundary conditions. Zbl 1418.35371
Subramanian, M.
2019
Approximate controllability of second-order neutral stochastic non-autonomous integrodifferential inclusions by resolvent operators. Zbl 1440.93036
Nirmalkumar, R.; Murugesu, R.
2019
Dynamics and stability results of fractional integro-differential equations with complex order. Zbl 1417.45006
Vivek, D.; Kanagarajan, K.; Harikrishnan, S.
2018
Global stability analysis of a general scalar difference equation. Zbl 1400.37022
Merdan, Huseyin; Gumus, Ozlem Ak; Karahisarli, Gamzegul
2018
Van der Pol oscillators generated from grazing dynamics. Zbl 1400.34050
Akhmet, M. U.; Kıvılcım, A.
2018
The effect of non-selective harvesting in predator-prey model with modified Leslie-Gower and Holling Type II schemes. Zbl 1407.37119
El Harraki, I.; Yafia, R.; Boutoulout, A.; Aziz-Alaoui, M. A.
2018
Existence and uniqueness of solutions for a coupled system of higher order fractional differential equations with integral boundary conditions. Zbl 1398.34016
Duraisamy, P.; Gopal, T. Nandha
2018
A novel controllability analysis of impulsive fractional linear time invariant systems with state delay and distributed delays in control. Zbl 1400.93031
Sundara, Vadivoo B.; Raja, R.; Agarwal, R. P.; Rajchakit, G.
2018
Almost periodicity in chaos. Zbl 1403.37032
Akhmet, Marat; Fen, Mehmet Onur
2018
Existence of solutions of stochastic fractional integrodifferential equations. Zbl 1398.45006
Umamaheswari, P.; Balachandran, K.; Annapoorani, N.
2018
Controllability of nonlinear stochastic fractional systems with Lévy noise. Zbl 1377.93046
Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M.
2017
An analytic technique for the solutions of nonlinear oscillators with damping using the Abel equation. Zbl 1368.34003
Ghose-Choudhury, A.; Guha, Partha
2017
On large deviations of stochastic integrodifferential equations with Brownian motion. Zbl 1377.45005
Haseena, A.; Suvinthra, M.; Annapoorani, N.
2017
Bifurcation and stability analysis of a diffusive predator-prey model with ratio-dependent type III functional response. Zbl 1377.37118
Sivakumar, M.; Balachandran, K.
2017
$$p$$-moment exponential stability of Caputo fractional differential equations with random impulses. Zbl 1369.34010
Agarwal, Ravi; Hristova, Snezhana; O&rsquo;Regan, Donal
2017
Reversible mixed dynamics: a concept and examples. Zbl 1356.37043
Gonchenko, S. V.
2016
Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132
Suvinthra, M.; Balachandran, K.; Sambath, M.
2016
On symmetric strictly non-Volterra quadratic stochastic operators. Zbl 1349.92123
Jamilov, U. U.
2016
Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090
Rozikov, Utkir A.; Varro, Richard
2016
Controllability of nonlinear fractional delay integrodifferential systems. Zbl 1341.93014
Nirmala, R. Joice; Balachandran, K.
2016
Analytical prediction of homoclinic bifurcations following a supercritical Hopf bifurcation. Zbl 1349.70046
Roy, Tanushree; Choudhury, Roy; Tanriver, Ugur
2016
On the solvability of nonlocal boundary value problem for the systems of impulsive hyperbolic equations with mixed derivatives. Zbl 1349.35232
Assanova, A. T.
2016
On quasi-periodic perturbations of Duffing equation. Zbl 1356.70032
Morozov, A. D.; Dragunov, T. N.
2016
On the existence of stationary solutions for some systems of integro-differential equations with anomalous diffusion. Zbl 1349.45019
Vougalter, Vitali; Volpert, Vitaly
2016
Existence of semi linear impulsive neutral evolution inclusions with infinite delay in Fréchet spaces. Zbl 1349.34253
Chalishajar, Dimplekumar N.; Karthikeyan, K.; Anguraj, A.
2016
Asymptotic behavior of solutions of singular integro-differential equations. Zbl 1349.45014
Dauylbaev, M. K.; Mirzakulova, A. E.
2016
Relaxation oscillations and chaos in a Duffing type equation: a case study. Zbl 1356.37085
Lerman, L.; Kazakov, A.; Kulagin, N.
2016
Fractional maps and fractional attractors. Part II: Fractional difference Caputo $$\alpha$$-families of maps. Zbl 1333.34008
Edelman, M.
2015
A semi-analytical prediction of periodic motions in Duffing oscillator through mapping structures. Zbl 1320.34059
Luo, Albert C. J.
2015
The optimal control problem for linear systems of non-integer order with lumped and distributed parameters. Zbl 1333.49049
Kubyshkin, V. A.; Postnov, S. S.
2015
Topology of delocalization in the nonlinear Anderson model and anomalous diffusion on finite clusters. Zbl 1320.35327
Milovanov, A. V.; Iomin, A.
2015
Poincaré recurrences in the circle map: Fibonacci stairs. Zbl 1320.37020
Anishchenko, V. S.; Semenova, N. I.; Vadivasova, T. E.
2015
Hyperbolicity in the Ocean. Zbl 1326.37053
Prants, S. V.; Budyansky, M. V.; Uleysky, M. Yu.; Zhang, J.
2015
Boundary value problems for impulsive fractional evolution integrodifferential equations with Gronwall’s inequality in Banach spaces. Zbl 1300.34151
Chalishajar, Dimplekumar N.; Karthikeyan, K.
2014
Bifurcation trees of period-$$m$$ motions to chaos in a time-delayed, quadratic nonlinear oscillator under a periodic excitation. Zbl 1401.70033
Luo, Albert C. J.; Jin, Hanxiang
2014
Automatic recognition and tagging of topologically different regimes in dynamical systems. Zbl 1316.70021
Berwald, Jesse J.; Gidea, Marian; Vejdemo-Johansson, Mikael
2014
Ulam-Hyers-Rassias stability for semilinear equations. Zbl 1326.39025
Wang, Jinrong; Fečkan, Michal
2014
An $$2+1$$-dimensional expanding model of the Davey-Stewartson hierarchy as well as its Hamiltonian structure. Zbl 1316.37039
Zhang, Yufeng; Rui, Wenjuan; Tam, Hon-Wah
2014
Synchronization of the cardiac pacemaker model with delayed pulse-coupling. Zbl 1300.34163
Akhmet, M.
2014
The probabilistic structure of discrete agent-based models. Zbl 1325.68232
Banisch, Sven
2014
Extended mixed AKNS-Lund-Regge model and its self-similarity reduction. Zbl 1311.37048
Ruy, D. V.; de Melo, G. R.
2014
On stationary solutions of the reduced Gardner-Ostrovsky equation. Zbl 1316.86002
Obregon, Maria; Stepanyants, Yury
2014
Establishing the onset, and parameter and spatial domains, of chaos in a smooth quadratic autonomous system using Sil’nikov criteria and competitive modes analysis. Zbl 1334.37034
Volgel, Thomas K.; Choudhury, S. Roy
2013
Cosmic evolution in fractional action cosmology. Zbl 1334.83084
Shchigolev, Victor K.
2013
Spectrum of dimensions for escape time. Zbl 1334.37014
Afraimovich, Valentin; Vazquez, Rosendo
2013
Period-$$m$$ motions and bifurcation trees in a periodically excited, quadratic nonlinear oscillator. Zbl 1305.34055
Luo, Albert C. J.; Yu, Bo
2013
Relaxation processes in many particle systems – recurrence relations approach. Zbl 1298.82040
Mokshin, Anatolii V.
2013
Stochastic patterns and the role of crowding. Zbl 1301.65008
Cianci, Claudia; Fanelli, Duccio
2013
Almost periodic solutions of second order neutral differential equations with functional response on piecewise constant argument. Zbl 1302.34106
Akhmet, M.
2013
Pulse phenomena for impulsive dynamical systems. Zbl 1302.34019
Zheng, Shasha; Fu, Xilin
2013
Unstable and stable period-$$m$$ motions in a twin-well potential Duffing oscillator. Zbl 1300.34080
Luo, Albert C. J.; Hang, Zianzhe
2012
Fractional maps and fractional attractors. Part I: $$\alpha$$-families of maps. Zbl 1335.37012
Edelman, M.
2012
Method of conservation laws for constructing solutions to systems of PDEs. Zbl 1288.35028
Ibragimov, N. H.
2012
Exponentially dichotomous linear systems of differential equations with piecewise constant argument. Zbl 1300.34150
Akhmet, M.
2012
Heat conduction in anisotropic media: nonlinear self-adjointness and conservation laws. Zbl 1288.35272
Ibragimov, Nail H.; Avdonina, Elena D.
2012
Statistical mechanics of fragmentation-advection processes and nonlinear measurements problem. II. Zbl 1314.82025
2012
On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations. Zbl 1291.45012
Volpert, Vitaly; Vougalter, Vitali
2012
One kink solution for a variety of nonlinear fifth-order equations. Zbl 1288.35182
Wazwaz, Abdul-Majid
2012
Fractional electromagnetic wave. Zbl 1290.35314
Rosales, J. J.; Guía, M.; Gómez, J. F.; Tkach, V. I.
2012
Chaos generation in hyperbolic systems. Zbl 1444.37028
Akhmet, M. U.; Fen, M. O.
2012
A method for generating Lie algebras and applications. Zbl 1326.17018
Zhang, Yufeng
2012
Existence of solutions to weakly generalized vector $$F$$-implicit variational inequalities. Zbl 1290.49021
Salahuddin; Agarwal, R. P.
2012
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### Cited by 284 Authors

 18 Luo, Albert C. J. 8 Akhmet, Marat Ubaydulla 7 Balachandran, Krishnan 7 Jamilov, Uygun U. 7 Xing, Siyuan 6 Gonchenko, Sergey V. 5 Kazakov, Alexey O. 4 Fen, Mehmet Onur 4 Gonchenko, Marina S. 4 Guo, Siyu 4 Ibragimov, Nail Hairullovich 4 Ladra González, Manuel 4 Liang, Jin 4 Mu, Yunyi 4 Suvinthra, Murugan 4 Vivek, Devaraj 4 Zhang, Yufeng 3 Ahmed, Hamdy M. 3 Assanova, Anar Turmaganbetkyzy 3 Avdonina, Elena D. 3 Chalishajar, Dimplekumar N. 3 Edelman, Mark 3 Gonchenko, Alexander S. 3 He, Shaobo 3 Kanagarajan, Kuppusamy 3 Munch, Elizabeth 3 Peng, Yuexi 3 Postnov, Sergey Sergeevich 3 Rozikov, Utkir A. 3 Sun, Kehui 3 Tarasov, Vasily E. 3 Turaev, Dmitry V. 3 Vougalter, Vitali 3 Xiao, Ti-Jun 2 Agarwal, Ritu 2 Anishchenko, Vadim Semenovich 2 Annapoorani, Natarajan 2 Bakirova, Elmira A. 2 Băleanu, Dumitru I. 2 Chen, Zhaobo 2 El-Nabulsi, Rami Ahmad 2 Elsayed, Elsayed Mohammed 2 Fečkan, Michal 2 Fu, Xilin 2 Galiakberova, L. R. 2 Guha, Partha 2 Gümüş, Özlem Ak 2 Guo, Yu 2 Harikrishnan, Sugumaran 2 Haseena, A. 2 Karthikeyan, Kulandhivel 2 Katz, Yuri A. 2 Khasawneh, Firas A. 2 Kubyshkin, V. A. 2 Li, Yan 2 Lizzy, Rajendran Mabel 2 Machado, José António Tenreiro 2 Nieto Roig, Juan Jose 2 Sambath, Muniyagounder 2 Selvam, A. George Maria 2 Semenova, Nadezhda Igorevna 2 Trujillo, Juan J. 2 Volpert, Vitaly A. 2 Wang, Jinrong 2 Wang, Lingyu 2 Wu, Lixin 2 Xu, Yeyin 2 Yadav, Mahaveer Prasad 2 Zada, Akbar 1 Abdulwahhab, Muhammad Alim 1 Abildayeva, Aziza D. 1 Absalamov, Akmal T. 1 Afraimovich, Valentin S. 1 Agarwal, Ravi P. 1 Alnafisah, Yousef 1 Alzabut, Jehad O. 1 Anguraj, Annamalai 1 Arancibia-Ibarra, Claudio 1 Ardjouni, Abdelouaheb 1 Aromi, Lloyd L. 1 Baghani, Omid 1 Bai, Yang 1 Bai, Yuzhen 1 Banisch, Sven 1 Boev, Yaroslav Igorevich 1 Bradley, Elizabeth 1 Bruzón, Maria Santos 1 Budyansky, M. V. 1 Bunimovich, Leonid Abramovich 1 Cang, Zixuan 1 Cao, Zhijie 1 Cariñena, José F. 1 Carletti, Timoteo 1 Chaudhary, Renu 1 Chávez, O. 1 Cianci, Claudia 1 Cruz-García, Salvador 1 Dauylbaev, Murathan 1 Didov, A. A. 1 Dong, Yunfeng ...and 184 more Authors
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### Cited in 90 Journals

 13 Chaos 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Communications in Nonlinear Science and Numerical Simulation 10 Chaos, Solitons and Fractals 8 Nonlinear Dynamics 4 Mathematics 3 Physica D 3 Automation and Remote Control 3 Fractional Calculus & Applied Analysis 3 Qualitative Theory of Dynamical Systems 3 Nonlinear Analysis. Real World Applications 2 Computers & Mathematics with Applications 2 International Journal of Theoretical Physics 2 Journal of Mathematical Physics 2 Physica A 2 Applied Mathematics and Computation 2 Stochastic Analysis and Applications 2 Applied Mathematics Letters 2 Filomat 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Journal of Inequalities and Applications 2 Dynamical Systems 2 Advances in Difference Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Banach Journal of Mathematical Analysis 2 International Journal of Biomathematics 2 Journal of Applied Analysis and Computation 2 Discontinuity, Nonlinearity, and Complexity 1 Applicable Analysis 1 International Journal of Control 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Journal of Geometry and Physics 1 Demonstratio Mathematica 1 Journal of Applied Probability 1 Journal of Differential Equations 1 The Journal of Mathematical Sociology 1 Osaka Journal of Mathematics 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 The Journal of Analysis 1 Turkish Journal of Mathematics 1 Fractals 1 Random Operators and Stochastic Equations 1 Journal of Convex Analysis 1 Complexity 1 Izvestiya: Mathematics 1 Analysis (München) 1 Regular and Chaotic Dynamics 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Applications and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Journal of Control Science and Engineering 1 TWMS Journal of Pure and Applied Mathematics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Axioms 1 Evolution Equations and Control Theory 1 Journal of Applied Nonlinear Dynamics 1 International Journal of Analysis and Applications 1 Journal of Mathematical Modeling 1 Sahand Communications in Mathematical Analysis 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Nelineĭnaya Dinamika 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Mathematics and Nonlinear Sciences 1 AIMS Mathematics 1 Journal of Applied and Computational Topology
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### Cited in 33 Fields

 81 Ordinary differential equations (34-XX) 66 Dynamical systems and ergodic theory (37-XX) 33 Partial differential equations (35-XX) 27 Biology and other natural sciences (92-XX) 21 Real functions (26-XX) 18 Operator theory (47-XX) 17 Probability theory and stochastic processes (60-XX) 17 Systems theory; control (93-XX) 12 Difference and functional equations (39-XX) 12 Mechanics of particles and systems (70-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 8 Numerical analysis (65-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 4 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral transforms, operational calculus (44-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)