de Mello Bonotto, Everaldo; Kalita, Piotr Long-time behavior for impulsive generalized semiflows. (English) Zbl 07812050 Nonlinear Anal., Hybrid Syst. 51, Article ID 101432, 25 p. (2024). MSC: 37-XX PDFBibTeX XMLCite \textit{E. de Mello Bonotto} and \textit{P. Kalita}, Nonlinear Anal., Hybrid Syst. 51, Article ID 101432, 25 p. (2024; Zbl 07812050) Full Text: DOI
Damanik, David; Zhang, Meirong; Zhou, Zhe The rotation number for almost periodic potentials with jump discontinuities and \(\delta \)-interactions. (English) Zbl 07806910 Ann. Henri Poincaré 25, No. 2, 1359-1397 (2024). MSC: 37Bxx 37Axx 34Axx PDFBibTeX XMLCite \textit{D. Damanik} et al., Ann. Henri Poincaré 25, No. 2, 1359--1397 (2024; Zbl 07806910) Full Text: DOI arXiv
Kapustyan, O.; Yusypiv, T. Robust stability of the attractor of a nonlinear wave equation without uniqueness of the solution. (English. Ukrainian original) Zbl 07798365 J. Math. Sci., New York 274, No. 6, 850-860 (2023); translation from Neliniĭni Kolyvannya 25, No. 2-3, 198-206 (2022). MSC: 35B41 35L20 35L71 37L30 PDFBibTeX XMLCite \textit{O. Kapustyan} and \textit{T. Yusypiv}, J. Math. Sci., New York 274, No. 6, 850--860 (2023; Zbl 07798365); translation from Neliniĭni Kolyvannya 25, No. 2--3, 198--206 (2022) Full Text: DOI
Lin, Yanzi; Zhao, Ping Stability analysis of nonlinear impulsive switched positive systems. (English) Zbl 07773926 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2715-2730 (2023). MSC: 93-XX 37-XX PDFBibTeX XMLCite \textit{Y. Lin} and \textit{P. Zhao}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2715--2730 (2023; Zbl 07773926) Full Text: DOI
Waheed, Hira; Zada, Akbar; Rizwan, Rizwan; Popa, Ioan-Lucian Controllability of coupled fractional integrodifferential equations. (English) Zbl 07773892 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2113-2144 (2023). MSC: 34N05 34A12 93B05 34A08 37C25 PDFBibTeX XMLCite \textit{H. Waheed} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2113--2144 (2023; Zbl 07773892) Full Text: DOI
Meknani, Bassem; Zhang, Jun; Abdelhamid, Talaat Pseudo-almost periodic \(C^0\) solutions to the evolution equations with nonlocal initial conditions. (English) Zbl 1512.34093 Appl. Anal. 102, No. 4, 1027-1037 (2023). MSC: 34C27 34K14 35B15 37L05 47J35 PDFBibTeX XMLCite \textit{B. Meknani} et al., Appl. Anal. 102, No. 4, 1027--1037 (2023; Zbl 1512.34093) Full Text: DOI
Yin, Qian-Bao; Guo, Yu; Wu, Dan; Shu, Xiao-Bao Existence and multiplicity of mild solutions for first-order Hamilton random impulsive differential equations with Dirichlet boundary conditions. (English) Zbl 1512.37074 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 47, 23 p. (2023). MSC: 37J51 34B37 34K45 34K50 60H10 PDFBibTeX XMLCite \textit{Q.-B. Yin} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 47, 23 p. (2023; Zbl 1512.37074) Full Text: DOI
Luo, Ying; Guo, Fei Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects. (English) Zbl 1508.37077 J. Math. Anal. Appl. 519, No. 1, Article ID 126800, 15 p. (2023). MSC: 37J46 34A37 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{F. Guo}, J. Math. Anal. Appl. 519, No. 1, Article ID 126800, 15 p. (2023; Zbl 1508.37077) Full Text: DOI
Liu, He; Dai, Chuanjun; Yu, Hengguo; Guo, Qing; Li, Jianbing; Hao, Aimin; Kikuchi, Jun; Zhao, Min Dynamics of a stochastic non-autonomous phytoplankton-zooplankton system involving toxin-producing phytoplankton and impulsive perturbations. (English) Zbl 07594639 Math. Comput. Simul. 203, 368-386 (2023). MSC: 92-XX 37-XX PDFBibTeX XMLCite \textit{H. Liu} et al., Math. Comput. Simul. 203, 368--386 (2023; Zbl 07594639) Full Text: DOI
Dvornyk, A. V.; Tkachenko, V. I. Frequency locking of periodic solutions to differential equations with impulsive perturbations. (English. Ukrainian original) Zbl 1512.34087 Ukr. Math. J. 74, No. 7, 1073-1098 (2022); translation from Ukr. Mat. Zh. 74, No. 7, 939-960 (2022). Reviewer: Lutz Recke (Berlin) MSC: 34C25 34A37 34C05 34C45 34E10 37C60 34D20 PDFBibTeX XMLCite \textit{A. V. Dvornyk} and \textit{V. I. Tkachenko}, Ukr. Math. J. 74, No. 7, 1073--1098 (2022; Zbl 1512.34087); translation from Ukr. Mat. Zh. 74, No. 7, 939--960 (2022) Full Text: DOI
Chen, Lu Boundedness of solutions for some impulsive pendulum-type equations. (English) Zbl 1525.34061 Dyn. Syst. 37, No. 4, 684-698 (2022). Reviewer: Snezhana Hristova (Plovdiv) MSC: 34C11 34C27 37C60 34A37 37E40 PDFBibTeX XMLCite \textit{L. Chen}, Dyn. Syst. 37, No. 4, 684--698 (2022; Zbl 1525.34061) Full Text: DOI
Nakonechnyi, Oleksandr; Podlipenko, Yuri Guaranteed a posteriori estimation of unknown right-hand sides of linear periodic systems of ODEs. (English) Zbl 1505.34030 Appl. Anal. 101, No. 17, 6212-6221 (2022). MSC: 34A55 34B05 93B30 34A30 37C60 PDFBibTeX XMLCite \textit{O. Nakonechnyi} and \textit{Y. Podlipenko}, Appl. Anal. 101, No. 17, 6212--6221 (2022; Zbl 1505.34030) Full Text: DOI
Chen, Huiwen; He, Zhimin; Ouyang, Zigen; Liao, Maoxin New results for some damped Dirichlet problems with impulses. (English) Zbl 1497.34048 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 36, 16 p. (2022). Reviewer: Jan Tomeček (Olomouc) MSC: 34B37 34B08 34B15 37C60 58E30 PDFBibTeX XMLCite \textit{H. Chen} et al., Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 36, 16 p. (2022; Zbl 1497.34048) Full Text: DOI
Chiu, Kuo-Shou Green’s function for impulsive periodic solutions in alternately advanced and delayed differential systems and applications. (English) Zbl 1489.34031 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 1, 15-37 (2021). MSC: 34A37 34K13 34A38 34B27 37C25 PDFBibTeX XMLCite \textit{K.-S. Chiu}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 1, 15--37 (2021; Zbl 1489.34031) Full Text: DOI
Anashkin, O. V.; Yusupova, O. V. Stability in the critical case and bifurcations in impulsive systems. (English) Zbl 1495.34027 Lobachevskii J. Math. 42, No. 15, 3574-3583 (2021). Reviewer: Snezhana Hristova (Plovdiv) MSC: 34A37 34C23 34C05 34D20 34C25 37C60 34C20 PDFBibTeX XMLCite \textit{O. V. Anashkin} and \textit{O. V. Yusupova}, Lobachevskii J. Math. 42, No. 15, 3574--3583 (2021; Zbl 1495.34027) Full Text: DOI
Dashkovskiy, Sergey; Kapustyan, Oleksiy; Perestyuk, Yuriy Stability of uniform attractors of impulsive multi-valued semiflows. (English) Zbl 1485.37021 Nonlinear Anal., Hybrid Syst. 40, Article ID 101025, 17 p. (2021). MSC: 37C75 37C70 37C10 PDFBibTeX XMLCite \textit{S. Dashkovskiy} et al., Nonlinear Anal., Hybrid Syst. 40, Article ID 101025, 17 p. (2021; Zbl 1485.37021) Full Text: DOI
Arora, S.; Mohan, Manil T.; Dabas, J. Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces. (English) Zbl 1476.34141 Nonlinear Anal., Hybrid Syst. 39, Article ID 100989, 23 p. (2021). MSC: 34K06 34A12 37L05 93B05 PDFBibTeX XMLCite \textit{S. Arora} et al., Nonlinear Anal., Hybrid Syst. 39, Article ID 100989, 23 p. (2021; Zbl 1476.34141) Full Text: DOI
Liu, Jiankang; Xu, Wei; Guo, Qin Averaging principle for impulsive stochastic partial differential equations. (English) Zbl 1475.60122 Stoch. Dyn. 21, No. 4, Article ID 2150014, 19 p. (2021). MSC: 60H15 37L55 34A37 37A50 74H10 PDFBibTeX XMLCite \textit{J. Liu} et al., Stoch. Dyn. 21, No. 4, Article ID 2150014, 19 p. (2021; Zbl 1475.60122) Full Text: DOI
Kapustyan, O. V.; Asrorov, F. A.; Sobchuk, V. V. Uniform attractor for an \(N\)-dimensional parabolic system with impulsive perturbation. (English. Ukrainian original) Zbl 1465.37088 J. Math. Sci., New York 254, No. 2, 219-228 (2021); translation from Neliniĭni Kolyvannya 22, No. 4, 474-481 (2019). MSC: 37L30 37L50 PDFBibTeX XMLCite \textit{O. V. Kapustyan} et al., J. Math. Sci., New York 254, No. 2, 219--228 (2021; Zbl 1465.37088); translation from Neliniĭni Kolyvannya 22, No. 4, 474--481 (2019) Full Text: DOI
Andres, Jan Nielsen number, impulsive differential equations and problem of Jean Leray. (English) Zbl 1480.34037 Topol. Methods Nonlinear Anal. 56, No. 2, 383-400 (2020). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34B37 34C28 37E10 37E15 37C25 58C06 34C25 34A60 PDFBibTeX XMLCite \textit{J. Andres}, Topol. Methods Nonlinear Anal. 56, No. 2, 383--400 (2020; Zbl 1480.34037) Full Text: DOI
Chen, Lu; Shen, Jianhua Lagrange stability for impulsive pendulum-type equations. (English) Zbl 1470.34046 J. Math. Phys. 61, No. 11, 112704, 14 p. (2020). Reviewer: Abdullah Özbekler (Ankara) MSC: 34A37 34C11 34C27 37J25 PDFBibTeX XMLCite \textit{L. Chen} and \textit{J. Shen}, J. Math. Phys. 61, No. 11, 112704, 14 p. (2020; Zbl 1470.34046) Full Text: DOI
Li, Mengmeng; Wang, JinRong; O’Regan, Donal; Fečkan, Michal Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity. (English) Zbl 1466.34041 C. R., Math., Acad. Sci. Paris 358, No. 3, 341-364 (2020). Reviewer: Petro Feketa (Kiel) MSC: 34C45 34A37 37C60 34D09 34D10 PDFBibTeX XMLCite \textit{M. Li} et al., C. R., Math., Acad. Sci. Paris 358, No. 3, 341--364 (2020; Zbl 1466.34041) Full Text: DOI
Zhang, Xuping; Xin, Zhen Existence, uniqueness and UHR stability of solutions to nonlinear ordinary differential equations with noninstantaneous impulses. (English) Zbl 07201333 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 195-203 (2020). MSC: 35A01 35F25 37C75 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Xin}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 195--203 (2020; Zbl 07201333) Full Text: DOI
Akhmet, Marat; Kashkynbayev, Ardak Nonautonomous bifurcations in nonlinear impulsive systems. (English) Zbl 1441.34030 Differ. Equ. Dyn. Syst. 28, No. 1, 177-190 (2020). Reviewer: Abdullah Özbekler (Ankara) MSC: 34A37 34D45 34C23 37C60 PDFBibTeX XMLCite \textit{M. Akhmet} and \textit{A. Kashkynbayev}, Differ. Equ. Dyn. Syst. 28, No. 1, 177--190 (2020; Zbl 1441.34030) Full Text: DOI
de Mello Bonotto, Everaldo; Kalita, Piotr On attractors of generalized semiflows with impulses. (English) Zbl 1440.37036 J. Geom. Anal. 30, No. 2, 1412-1449 (2020). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37C70 37C10 PDFBibTeX XMLCite \textit{E. de Mello Bonotto} and \textit{P. Kalita}, J. Geom. Anal. 30, No. 2, 1412--1449 (2020; Zbl 1440.37036) Full Text: DOI
Kumar, Kamalendra; Kumar, Rakesh Boundary controllability of fractional order nonlocal semi-linear neutral evolution systems with impulsive condition. (English) Zbl 1497.93017 Discontin. Nonlinearity Complex. 8, No. 4, 419-428 (2019). Reviewer: Yong-Kui Chang (Xi’an) MSC: 93B05 93C27 93C15 26A33 37L05 PDFBibTeX XMLCite \textit{K. Kumar} and \textit{R. Kumar}, Discontin. Nonlinearity Complex. 8, No. 4, 419--428 (2019; Zbl 1497.93017) Full Text: DOI
Hrod, I. M.; Kulyk, V. L. Construction of Lyapunov functions in the form of pencils of quadratic forms. (English. Ukrainian original) Zbl 1429.37017 J. Math. Sci., New York 243, No. 2, 183-191 (2019); translation from Neliniĭni Kolyvannya 21, No. 2, 147-154 (2018). MSC: 37C75 93D30 PDFBibTeX XMLCite \textit{I. M. Hrod} and \textit{V. L. Kulyk}, J. Math. Sci., New York 243, No. 2, 183--191 (2019; Zbl 1429.37017); translation from Neliniĭni Kolyvannya 21, No. 2, 147--154 (2018) Full Text: DOI
Andres, Jan Application of the randomized Sharkovsky-type theorems to random impulsive differential equations and inclusions. (English) Zbl 1429.34066 J. Dyn. Differ. Equations 31, No. 4, 2127-2144 (2019). MSC: 34F05 34B37 37E15 47H10 47H40 34A60 34C25 PDFBibTeX XMLCite \textit{J. Andres}, J. Dyn. Differ. Equations 31, No. 4, 2127--2144 (2019; Zbl 1429.34066) Full Text: DOI
Kapustyan, O. V.; Asrorov, F. A.; Perestyuk, Yu. M. On the exponential stability of a trivial torus for one class of nonlinear impulsive systems. (English. Ukrainian original) Zbl 1416.37029 J. Math. Sci., New York 238, No. 3, 263-270 (2019); translation from Neliniĭni Kolyvannya 20, No. 4, 502-508 (2017). MSC: 37C75 34A37 PDFBibTeX XMLCite \textit{O. V. Kapustyan} et al., J. Math. Sci., New York 238, No. 3, 263--270 (2019; Zbl 1416.37029); translation from Neliniĭni Kolyvannya 20, No. 4, 502--508 (2017) Full Text: DOI
Andres, Jan Coexistence of periodic solutions with various periods of impulsive differential equations and inclusions on tori via Poincaré operators. (English) Zbl 1418.34093 Topology Appl. 255, 126-140 (2019). Reviewer: Jan Tomeček (Olomouc) MSC: 34C25 34B37 34C28 37E15 34A60 34C40 PDFBibTeX XMLCite \textit{J. Andres}, Topology Appl. 255, 126--140 (2019; Zbl 1418.34093) Full Text: DOI
Niu, Yanmin; Li, Xiong An application of Moser’s twist theorem to superlinear impulsive differential equations. (English) Zbl 1416.34033 Discrete Contin. Dyn. Syst. 39, No. 1, 431-445 (2019). Reviewer: Fengqin Zhang (Yuncheng) MSC: 34C27 34A37 37E40 37C55 34C15 PDFBibTeX XMLCite \textit{Y. Niu} and \textit{X. Li}, Discrete Contin. Dyn. Syst. 39, No. 1, 431--445 (2019; Zbl 1416.34033) Full Text: DOI
Zhang, Jimin; Yang, Liu; Fan, Meng; Chen, Ming Nonlinear perturbations for linear nonautonomous impulsive differential equations and nonuniform \((h,k,\mu,\nu)\)-dichotomy. (English) Zbl 1461.34077 J. Appl. Anal. Comput. 8, No. 4, 1085-1107 (2018). MSC: 34D09 34A37 34D10 34C45 37C60 34G20 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Appl. Anal. Comput. 8, No. 4, 1085--1107 (2018; Zbl 1461.34077) Full Text: DOI
Kapustyan, O. V.; Perestyuk, M. O.; Romanyuk, I. V. Stability of global attractors of impulsive infinite-dimensional systems. (English. Ukrainian original) Zbl 1427.35343 Ukr. Math. J. 70, No. 1, 30-41 (2018); translation from Ukr. Mat. Zh. 70, No. 1, 29-39 (2018). MSC: 35R12 37C75 35B25 35B41 35K91 PDFBibTeX XMLCite \textit{O. V. Kapustyan} et al., Ukr. Math. J. 70, No. 1, 30--41 (2018; Zbl 1427.35343); translation from Ukr. Mat. Zh. 70, No. 1, 29--39 (2018) Full Text: DOI
Liu, Bin; Hill, David J.; Sun, Zhijie Input-to-state-\( \mathcal{K} \mathcal{L} \)-stability and criteria for a class of hybrid dynamical systems. (English) Zbl 1426.93294 Appl. Math. Comput. 326, 124-140 (2018). MSC: 93D25 34A38 37C75 93C10 PDFBibTeX XMLCite \textit{B. Liu} et al., Appl. Math. Comput. 326, 124--140 (2018; Zbl 1426.93294) Full Text: DOI
Atamas’, I. V.; Slyn’ko, V. I. Stability of fixed points for a class of quasilinear cascades in the space \(\operatorname{conv} \mathbb{R}^n\). (English. Ukrainian original) Zbl 1415.37031 Ukr. Math. J. 69, No. 9, 1354-1369 (2018); translation from Ukr. Mat. Zh. 69, No. 9, 1166-1179 (2017). MSC: 37C75 37C25 39A10 52A07 PDFBibTeX XMLCite \textit{I. V. Atamas'} and \textit{V. I. Slyn'ko}, Ukr. Math. J. 69, No. 9, 1354--1369 (2018; Zbl 1415.37031); translation from Ukr. Mat. Zh. 69, No. 9, 1166--1179 (2017) Full Text: DOI
Dashkovskiy, Sergey; Feketa, Petro; Kapustyan, Oleksiy; Romaniuk, Iryna Invariance and stability of global attractors for multi-valued impulsive dynamical systems. (English) Zbl 1378.37120 J. Math. Anal. Appl. 458, No. 1, 193-218 (2018). MSC: 37L15 34D45 34A37 37L30 PDFBibTeX XMLCite \textit{S. Dashkovskiy} et al., J. Math. Anal. Appl. 458, No. 1, 193--218 (2018; Zbl 1378.37120) Full Text: DOI
Penny, Stephen G. Mathematical foundations of hybrid data assimilation from a synchronization perspective. (English) Zbl 1390.86047 Chaos 27, No. 12, 126801, 12 p. (2017). MSC: 86A32 37N35 62M20 PDFBibTeX XMLCite \textit{S. G. Penny}, Chaos 27, No. 12, 126801, 12 p. (2017; Zbl 1390.86047) Full Text: DOI
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems. (English) Zbl 1387.34064 Differ. Equ. Appl. 9, No. 2, 195-212 (2017). MSC: 34C25 47J10 34B08 37J40 58E50 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Differ. Equ. Appl. 9, No. 2, 195--212 (2017; Zbl 1387.34064) Full Text: DOI
Korol’, Yu. Yu. Existence of an invariant torus for a degenerate linear extension of dynamical systems. (English. Ukrainian original) Zbl 1376.37051 J. Math. Sci., New York 223, No. 3, 273-284 (2017); translation from Neliniĭni Kolyvannya 19, No. 2, 217-226 (2016). MSC: 37C15 37C10 37C25 PDFBibTeX XMLCite \textit{Yu. Yu. Korol'}, J. Math. Sci., New York 223, No. 3, 273--284 (2017; Zbl 1376.37051); translation from Neliniĭni Kolyvannya 19, No. 2, 217--226 (2016) Full Text: DOI
Kapustyan, O. V.; Perestyuk, M. O. Global attractors in impulsive infinite-dimensional systems. (English. Russian original) Zbl 1490.37094 Ukr. Math. J. 68, No. 4, 583-597 (2016); translation from Ukr. Mat. Zh. 68, No. 4, 517-528 (2016). MSC: 37L30 35B20 35R12 PDFBibTeX XMLCite \textit{O. V. Kapustyan} and \textit{M. O. Perestyuk}, Ukr. Math. J. 68, No. 4, 583--597 (2016; Zbl 1490.37094); translation from Ukr. Mat. Zh. 68, No. 4, 517--528 (2016) Full Text: DOI
Liang, Ruixi; Zhang, Wei Applications of variational methods to the impulsive equation with non-separated periodic boundary conditions. (English) Zbl 1419.34106 Adv. Difference Equ. 2016, Paper No. 147, 13 p. (2016). MSC: 34B37 37J45 PDFBibTeX XMLCite \textit{R. Liang} and \textit{W. Zhang}, Adv. Difference Equ. 2016, Paper No. 147, 13 p. (2016; Zbl 1419.34106) Full Text: DOI
Tian, Baodan; Zhong, Shouming; Chen, Ning Existence and stability of a unique almost periodic solution for a prey-predator system with impulsive effects and multiple delays. (English) Zbl 1418.92134 Adv. Difference Equ. 2016, Paper No. 187, 23 p. (2016). MSC: 92D25 34K45 34K60 37N25 PDFBibTeX XMLCite \textit{B. Tian} et al., Adv. Difference Equ. 2016, Paper No. 187, 23 p. (2016; Zbl 1418.92134) Full Text: DOI
Şaylı, Mustafa; Yılmaz, Enes Chaotifying delayed recurrent neural networks via impulsive effects. (English) Zbl 1390.37062 Chaos 26, No. 2, 023114, 16 p. (2016). MSC: 37D45 37B05 34H10 92B20 PDFBibTeX XMLCite \textit{M. Şaylı} and \textit{E. Yılmaz}, Chaos 26, No. 2, 023114, 16 p. (2016; Zbl 1390.37062) Full Text: DOI
Kapustyan, Oleksiy V.; Romaniuk, Iryna V. Global attractors for discontinuous dynamical systems with multi-valued impulsive perturbations. (English) Zbl 1362.37152 Sadovnichiy, Victor A. (ed.) et al., Advances in dynamical systems and control. Cham: Springer (ISBN 978-3-319-40672-5/hbk; 978-3-319-40673-2/ebook). Studies in Systems, Decision and Control 69, 197-210 (2016). MSC: 37L30 34A37 35R12 PDFBibTeX XMLCite \textit{O. V. Kapustyan} and \textit{I. V. Romaniuk}, Stud. Syst. Decis. Control 69, 197--210 (2016; Zbl 1362.37152) Full Text: DOI
Fen, Mehmet Onur; Akhmet, Marat Impulsive SICNNs with chaotic postsynaptic currents. (English) Zbl 1351.34051 Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1119-1148 (2016). MSC: 34C60 34C28 92B20 37D45 34A37 92C20 PDFBibTeX XMLCite \textit{M. O. Fen} and \textit{M. Akhmet}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1119--1148 (2016; Zbl 1351.34051) Full Text: DOI
Kayar, Z.; Zafer, A. Matrix measure approach to Lyapunov-type inequalities for linear Hamiltonian systems with impulse effect. (English) Zbl 1338.34042 J. Math. Anal. Appl. 440, No. 1, 250-265 (2016). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34A37 34A30 34B37 37J99 34L15 PDFBibTeX XMLCite \textit{Z. Kayar} and \textit{A. Zafer}, J. Math. Anal. Appl. 440, No. 1, 250--265 (2016; Zbl 1338.34042) Full Text: DOI
Wang, R.-N.; Zhu, P.-X. New results on periodic solutions to impulsive nonautonomous evolutionary equations with time delays. (English) Zbl 1344.34075 J. Math. Sci., New York 212, No. 4, 412-425 (2016) and Neliniĭni Kolyvannya 17, No. 4, 476-488 (2014). Reviewer: Haydar Akca (Abu Dhabi) MSC: 34K13 34K45 34K30 37C60 PDFBibTeX XMLCite \textit{R. N. Wang} and \textit{P. X. Zhu}, J. Math. Sci., New York 212, No. 4, 412--425 (2016; Zbl 1344.34075) Full Text: DOI
Akhmet, Marat; Fen, Mehmet Onur Li-Yorke chaos in hybrid systems on a time scale. (English) Zbl 1334.37028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 14, Article ID 1540024, 10 p. (2015). MSC: 37D45 34C20 34N05 PDFBibTeX XMLCite \textit{M. Akhmet} and \textit{M. O. Fen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 14, Article ID 1540024, 10 p. (2015; Zbl 1334.37028) Full Text: DOI arXiv
Akhmet, Marat; Turan, Mehmet Bifurcation of discontinuous limit cycles of the Van der Pol equation. (English) Zbl 07312525 Math. Comput. Simul. 95, 39-54 (2014). MSC: 34A37 34C23 34C25 37G15 37N20 PDFBibTeX XMLCite \textit{M. Akhmet} and \textit{M. Turan}, Math. Comput. Simul. 95, 39--54 (2014; Zbl 07312525) Full Text: DOI
Jeon, Jong-ha; Kim, Pilwon Reconstruction of systems with impulses and delays from time series data. (English) Zbl 1351.37265 Chaos Solitons Fractals 69, 64-73 (2014). MSC: 37M10 93B30 34A37 34C28 92D40 PDFBibTeX XMLCite \textit{J.-h. Jeon} and \textit{P. Kim}, Chaos Solitons Fractals 69, 64--73 (2014; Zbl 1351.37265) Full Text: DOI
Xu, Lijun; Wu, Wenquan Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects. (English) Zbl 1348.34137 Adv. Difference Equ. 2014, Paper No. 264, 23 p. (2014). MSC: 34K60 34K14 34K20 34K45 92D25 37C60 PDFBibTeX XMLCite \textit{L. Xu} and \textit{W. Wu}, Adv. Difference Equ. 2014, Paper No. 264, 23 p. (2014; Zbl 1348.34137) Full Text: DOI
Guseinov, Gusein Sh. Boundary value problems for nonlinear impulsive Hamiltonian systems. (English) Zbl 1321.34044 J. Comput. Appl. Math. 259, Part B, 780-789 (2014). MSC: 34B37 37J45 47N20 PDFBibTeX XMLCite \textit{G. Sh. Guseinov}, J. Comput. Appl. Math. 259, Part B, 780--789 (2014; Zbl 1321.34044) Full Text: DOI
Perestyuk, M. O.; Feketa, P. V. On preservation of the invariant torus for multifrequency systems. (English. Ukrainian original) Zbl 1333.34071 Ukr. Math. J. 65, No. 11, 1661-1669 (2014); translation from Ukr. Mat. Zh. 65, No. 11, 1498-1505 (2013). MSC: 34C45 34C46 34D05 34E10 37C75 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{P. V. Feketa}, Ukr. Math. J. 65, No. 11, 1661--1669 (2014; Zbl 1333.34071); translation from Ukr. Mat. Zh. 65, No. 11, 1498--1505 (2013) Full Text: DOI
Feng, Lili; Liu, Zijian An impulsive periodic predator-prey Lotka-Volterra type dispersal system with mixed functional responses. (English) Zbl 1298.34080 J. Appl. Math. Comput. 45, No. 1-2, 235-257 (2014). MSC: 34C60 34D23 92D25 34A37 37N25 34C25 PDFBibTeX XMLCite \textit{L. Feng} and \textit{Z. Liu}, J. Appl. Math. Comput. 45, No. 1--2, 235--257 (2014; Zbl 1298.34080) Full Text: DOI
Kayar, Zeynep; Zafer, Ağacık Impulsive boundary value problems for planar Hamiltonian systems. (English) Zbl 1470.34078 Abstr. Appl. Anal. 2013, Article ID 892475, 6 p. (2013). MSC: 34B37 37J25 PDFBibTeX XMLCite \textit{Z. Kayar} and \textit{A. Zafer}, Abstr. Appl. Anal. 2013, Article ID 892475, 6 p. (2013; Zbl 1470.34078) Full Text: DOI
Wang, Wentao Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms. (English) Zbl 1375.34106 Adv. Difference Equ. 2013, Paper No. 273, 15 p. (2013). MSC: 34K20 34K60 37N25 PDFBibTeX XMLCite \textit{W. Wang}, Adv. Difference Equ. 2013, Paper No. 273, 15 p. (2013; Zbl 1375.34106) Full Text: DOI
Bai, Liang; Dai, Binxiang; Li, Feng Solvability of second-order Hamiltonian systems with impulses via variational method. (English) Zbl 1293.34044 Appl. Math. Comput. 219, No. 14, 7542-7555 (2013). MSC: 34B37 58E50 37J45 PDFBibTeX XMLCite \textit{L. Bai} et al., Appl. Math. Comput. 219, No. 14, 7542--7555 (2013; Zbl 1293.34044) Full Text: DOI
Kapustyan, O. V.; Shklyar, T. B. Global attractor of a parabolic inclusion with nonautonomous main part. (English. Russian original) Zbl 1323.37045 J. Math. Sci., New York 187, No. 4, 458-470 (2012); translation from Neliniĭni Kolyvannya 15, No. 1, 77-88 (2012). MSC: 37L30 35B41 35K90 PDFBibTeX XMLCite \textit{O. V. Kapustyan} and \textit{T. B. Shklyar}, J. Math. Sci., New York 187, No. 4, 458--470 (2012; Zbl 1323.37045); translation from Neliniĭni Kolyvannya 15, No. 1, 77--88 (2012) Full Text: DOI
Dai, Chuanjun; Zhao, Min; Chen, Lansun Complex dynamic behavior of three-species ecological model with impulse perturbations and seasonal disturbances. (English) Zbl 1257.92040 Math. Comput. Simul. 84, 83-97 (2012). MSC: 92D40 34C60 37N25 37D45 65C20 PDFBibTeX XMLCite \textit{C. Dai} et al., Math. Comput. Simul. 84, 83--97 (2012; Zbl 1257.92040) Full Text: DOI
Samoilenko, A. M.; Parasyuk, I. O.; Lahoda, V. A. Lipschitz invariant tori of indefinite-monotone systems. (English. Russian original) Zbl 1267.37063 Ukr. Math. J. 64, No. 3, 408-432 (2012); translation from Ukr. Mat. Zh. 64, No. 3, 363-383 (2012). Reviewer: Ahgel Zhivkov (Sofia) MSC: 37J40 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Ukr. Math. J. 64, No. 3, 408--432 (2012; Zbl 1267.37063); translation from Ukr. Mat. Zh. 64, No. 3, 363--383 (2012) Full Text: DOI
Fan, Xiaoming; Wang, Zhigang; Jiang, Fuquan Dynamics of mutualism-competition-predator system with Beddington-DeAngelis functional responses and impulsive perturbations. (English) Zbl 1253.92046 Abstr. Appl. Anal. 2012, Article ID 963486, 33 p. (2012). MSC: 92D40 34A37 37N25 PDFBibTeX XMLCite \textit{X. Fan} et al., Abstr. Appl. Anal. 2012, Article ID 963486, 33 p. (2012; Zbl 1253.92046) Full Text: DOI
Sun, Juntao; Chen, Haibo; Nieto, Juan J. Infinitely many solutions for second-order Hamiltonian system with impulsive effects. (English) Zbl 1225.37070 Math. Comput. Modelling 54, No. 1-2, 544-555 (2011). MSC: 37J45 34B37 47J30 PDFBibTeX XMLCite \textit{J. Sun} et al., Math. Comput. Modelling 54, No. 1--2, 544--555 (2011; Zbl 1225.37070) Full Text: DOI
Sun, Juntao; Chen, Haibo; Nieto, Juan J.; Otero-Novoa, Mario The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects. (English) Zbl 1198.34036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4575-4586 (2010). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34B37 37J45 58E05 58E30 PDFBibTeX XMLCite \textit{J. Sun} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4575--4586 (2010; Zbl 1198.34036) Full Text: DOI
Myslo, Yu. M.; Tkachenko, V. I. On the permanence of periodic predator-prey systems with stage structure and pulse action. (English. Ukrainian original) Zbl 1277.92029 Nonlinear Oscil., N.Y. 12, No. 4, 543-558 (2009); translation from Nelinijni Kolyvannya 12, No. 4, 527-540 (2009). MSC: 92D25 34D05 37N25 PDFBibTeX XMLCite \textit{Yu. M. Myslo} and \textit{V. I. Tkachenko}, Nonlinear Oscil., N.Y. 12, No. 4, 543--558 (2009; Zbl 1277.92029); translation from Nelinijni Kolyvannya 12, No. 4, 527--540 (2009) Full Text: DOI
Sharko, Yu. V. Gradient vector fields with pulse action on manifolds. (English. Ukrainian original) Zbl 1277.37043 Nonlinear Oscil., N.Y. 12, No. 1, 137-147 (2009); translation from Nelinijni Kolyvannya 12, No. 1, 134-144 (2009). MSC: 37C27 37C75 PDFBibTeX XMLCite \textit{Yu. V. Sharko}, Nonlinear Oscil., N.Y. 12, No. 1, 137--147 (2009; Zbl 1277.37043); translation from Nelinijni Kolyvannya 12, No. 1, 134--144 (2009) Full Text: DOI
Akhmet, Marat U.; Aruğaslan, Duygu Bifurcation of a non-smooth planar limit cycle from a vertex. (English) Zbl 1239.34035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2723-e2733 (2009). MSC: 34C23 34C05 37G15 PDFBibTeX XMLCite \textit{M. U. Akhmet} and \textit{D. Aruğaslan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2723--e2733 (2009; Zbl 1239.34035) Full Text: DOI
Akhmet, M. U. The complex dynamics of the cardiovascular system. (English) Zbl 1238.76078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1922-e1931 (2009). MSC: 76Z05 92C35 37N10 PDFBibTeX XMLCite \textit{M. U. Akhmet}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1922--e1931 (2009; Zbl 1238.76078) Full Text: DOI
Akhmet, M. U. Li-Yorke chaos in the system with impacts. (English) Zbl 1153.37017 J. Math. Anal. Appl. 351, No. 2, 804-810 (2009). MSC: 37D45 34A37 PDFBibTeX XMLCite \textit{M. U. Akhmet}, J. Math. Anal. Appl. 351, No. 2, 804--810 (2009; Zbl 1153.37017) Full Text: DOI
Iovane, G.; Kapustyan, A. V.; Valero, J. Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects. (English) Zbl 1228.35063 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2516-2530 (2008). MSC: 35B41 35B40 35K57 37B25 58C06 35R12 35K58 PDFBibTeX XMLCite \textit{G. Iovane} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2516--2530 (2008; Zbl 1228.35063) Full Text: DOI
Wang, Weibing; Shen, Jianhua; Nieto, Juan J. Permanence and periodic solution of predator-prey system with holling type functional response and impulses. (English) Zbl 1146.37370 Discrete Dyn. Nat. Soc. 2007, Article ID 81756, 15 p. (2007). MSC: 37N25 34K13 34K45 34K12 92D25 PDFBibTeX XMLCite \textit{W. Wang} et al., Discrete Dyn. Nat. Soc. 2007, Article ID 81756, 15 p. (2007; Zbl 1146.37370) Full Text: DOI EuDML
Guseinov, G. Sh.; Zafer, A. Stability criteria for linear periodic impulsive Hamiltonian systems. (English) Zbl 1128.34005 J. Math. Anal. Appl. 335, No. 2, 1195-1206 (2007). Reviewer: Stepan Kostadinov (Plovdiv) MSC: 34A37 34A30 34D20 37J25 PDFBibTeX XMLCite \textit{G. Sh. Guseinov} and \textit{A. Zafer}, J. Math. Anal. Appl. 335, No. 2, 1195--1206 (2007; Zbl 1128.34005) Full Text: DOI
Akalin, E.; Akhmet, M. U. The principles of \(B\)-smooth discontinuous flows. (English) Zbl 1093.37004 Comput. Math. Appl. 49, No. 7-8, 981-995 (2005). MSC: 37B99 34A12 37C10 PDFBibTeX XMLCite \textit{E. Akalin} and \textit{M. U. Akhmet}, Comput. Math. Appl. 49, No. 7--8, 981--995 (2005; Zbl 1093.37004) Full Text: DOI arXiv
Liu, Bing; Zhang, Yujuan; Chen, Lansun Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control. (English) Zbl 1058.92047 Chaos Solitons Fractals 22, No. 1, 123-134 (2004). MSC: 92D40 37N25 49N25 34A37 34C25 34C60 49N90 34D05 PDFBibTeX XMLCite \textit{B. Liu} et al., Chaos Solitons Fractals 22, No. 1, 123--134 (2004; Zbl 1058.92047) Full Text: DOI
Sun, Jitao; Zhang, Yinping; Qiao, Fei; Wu, Qidi Some impulsive synchronization criterions for coupled chaotic systems via unidirectional linear error feedback approach. (English) Zbl 1069.37029 Chaos Solitons Fractals 19, No. 5, 1049-1055 (2004). MSC: 37D45 34A37 34C28 37N35 93D15 PDFBibTeX XMLCite \textit{J. Sun} et al., Chaos Solitons Fractals 19, No. 5, 1049--1055 (2004; Zbl 1069.37029) Full Text: DOI
Sun, Jitao; Zhang, Yinping Impulsive control and synchronization of Chua’s oscillators. (English) Zbl 1113.93088 Math. Comput. Simul. 66, No. 6, 499-508 (2004). MSC: 93D15 34A37 34D20 37D45 93C15 94C05 PDFBibTeX XMLCite \textit{J. Sun} and \textit{Y. Zhang}, Math. Comput. Simul. 66, No. 6, 499--508 (2004; Zbl 1113.93088) Full Text: DOI
Sun, Jitao Impulsive control of a new chaotic system. (English) Zbl 1076.65119 Math. Comput. Simul. 65, No. 6, 669-677 (2004). Reviewer: Fuhua Ling (Milpitas) MSC: 65P40 37D45 65P20 PDFBibTeX XMLCite \textit{J. Sun}, Math. Comput. Simul. 65, No. 6, 669--677 (2004; Zbl 1076.65119) Full Text: DOI
Chellaboina, Vijaysekhar; Bhat, Sanjay P.; Haddad, Wassim M. An invariance principle for nonlinear hybrid and impulsive dynamical systems. (English) Zbl 1082.37018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 3-4, 527-550 (2003). MSC: 37B25 34A37 93D05 PDFBibTeX XMLCite \textit{V. Chellaboina} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 3--4, 527--550 (2003; Zbl 1082.37018) Full Text: DOI
Sun, Jitao; Zhang, Yinping Impulsive control of Rössler systems. (English) Zbl 1006.37049 Phys. Lett., A 306, No. 5-6, 306-312 (2003). MSC: 37N35 PDFBibTeX XMLCite \textit{J. Sun} and \textit{Y. Zhang}, Phys. Lett., A 306, No. 5--6, 306--312 (2003; Zbl 1006.37049) Full Text: DOI
Yang, Tao; Yang, Chun-Mei; Yang, Lin-Bao Control of Rössler system to periodic motions using impulsive control methods. (English) Zbl 1053.93507 Phys. Lett., A 232, No. 5, 356-361 (1997). MSC: 93B52 37N35 93C10 PDFBibTeX XMLCite \textit{T. Yang} et al., Phys. Lett., A 232, No. 5, 356--361 (1997; Zbl 1053.93507) Full Text: DOI