Li, Yuxi; Wei, Zhouchao; Zhang, Wei; Kapitaniak, Tomasz Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint. (English) Zbl 1525.37032 Appl. Math. Modelling 122, 506-523 (2023). MSC: 37D45 37J46 37J40 34A36 34C28 34C37 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 122, 506--523 (2023; Zbl 1525.37032) Full Text: DOI
Wu, Jianping \(N\)-soliton, \(M\)-breather and hybrid solutions of a time-dependent Kadomtsev-Petviashvili equation. (English) Zbl 07478786 Math. Comput. Simul. 194, 89-96 (2022). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{J. Wu}, Math. Comput. Simul. 194, 89--96 (2022; Zbl 07478786) Full Text: DOI
Khan, Muhammad Salman; Samreen, Maria; Aydi, Hassen; de la Sen, Manuel Qualitative analysis of a discrete-time phytoplankton-zooplankton model with Holling type-II response and toxicity. (English) Zbl 1494.92163 Adv. Difference Equ. 2021, Paper No. 443, 29 p. (2021). MSC: 92D40 92D25 37N25 PDFBibTeX XMLCite \textit{M. S. Khan} et al., Adv. Difference Equ. 2021, Paper No. 443, 29 p. (2021; Zbl 1494.92163) Full Text: DOI
Burgos, Clara; Cortés, Juan Carlos; López-Navarro, Elena; Villanueva, Rafael Jacinto Probabilistic analysis of linear-quadratic logistic-type models with hybrid uncertainties via probability density functions. (English) Zbl 1484.34139 AIMS Math. 6, No. 5, 4938-4957 (2021). MSC: 34F05 60H25 37H10 34A38 PDFBibTeX XMLCite \textit{C. Burgos} et al., AIMS Math. 6, No. 5, 4938--4957 (2021; Zbl 1484.34139) Full Text: DOI
Li, Liu-Qing; Gao, Yi-Tian; Hu, Lei; Jia, Ting-Ting; Ding, Cui-Cui; Feng, Yu-Jie Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1516.37117 Nonlinear Dyn. 100, No. 3, 2729-2738 (2020). MSC: 37K40 35C08 35Q51 PDFBibTeX XMLCite \textit{L.-Q. Li} et al., Nonlinear Dyn. 100, No. 3, 2729--2738 (2020; Zbl 1516.37117) Full Text: DOI
Yang, Xiangyu; Zhang, Zhao; Li, Wentao; Li, Biao Breathers, lumps and hybrid solutions of the \((2+1)\)-dimensional Hirota-Satsuma-Ito equation. (English) Zbl 1442.37086 Rocky Mt. J. Math. 50, No. 1, 319-335 (2020). MSC: 37K40 37K10 35Q51 PDFBibTeX XMLCite \textit{X. Yang} et al., Rocky Mt. J. Math. 50, No. 1, 319--335 (2020; Zbl 1442.37086) Full Text: DOI Euclid
Bozma, H. Işıl; Öztürk, Ferit Sequential gradient dynamics in real analytic Morse systems. (English) Zbl 1379.37046 Dyn. Syst. 32, No. 2, 187-197 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C10 34C07 58A07 68T40 PDFBibTeX XMLCite \textit{H. I. Bozma} and \textit{F. Öztürk}, Dyn. Syst. 32, No. 2, 187--197 (2017; Zbl 1379.37046) Full Text: DOI arXiv
Bekir, Ahmet; Guner, Ozkan; Ayhan, Burcu; Cevikel, Adem C. Exact solutions for fractional differential-difference equations by \((G'/G)\)-expansion method with modified Riemann-Liouville derivative. (English) Zbl 1499.35620 Adv. Appl. Math. Mech. 8, No. 2, 293-305 (2016). MSC: 35R11 37H10 26A33 35Q68 PDFBibTeX XMLCite \textit{A. Bekir} et al., Adv. Appl. Math. Mech. 8, No. 2, 293--305 (2016; Zbl 1499.35620) Full Text: DOI
Azad, Nasser L.; Mozaffari, Ahmad; Vajedi, Mahyar; Masoudi, Yasaman Chaos oscillator differential search combined with Pontryagin’s minimum principle for simultaneous power management and component sizing of PHEVs. (English) Zbl 1364.74072 Optim. Eng. 17, No. 4, 727-760 (2016). MSC: 74P10 37N15 65K05 PDFBibTeX XMLCite \textit{N. L. Azad} et al., Optim. Eng. 17, No. 4, 727--760 (2016; Zbl 1364.74072) Full Text: DOI
Li, Shuangbao; Shen, Chao; Zhang, Wei; Hao, Yuxin The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application. (English) Zbl 1355.37079 Nonlinear Dyn. 85, No. 2, 1091-1104 (2016). MSC: 37J45 34C37 37C29 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Dyn. 85, No. 2, 1091--1104 (2016; Zbl 1355.37079) Full Text: DOI
Dautov, R. Z.; Fedotov, E. M. Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems. (Russian, English) Zbl 1313.35114 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 463-480 (2014); translation in Comput. Math. Math. Phys. 54, No. 3, 474-490 (2014). MSC: 35J62 37L65 65L60 PDFBibTeX XMLCite \textit{R. Z. Dautov} and \textit{E. M. Fedotov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 463--480 (2014; Zbl 1313.35114); translation in Comput. Math. Math. Phys. 54, No. 3, 474--490 (2014) Full Text: DOI Link
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M. Numerical integrators for the hybrid Monte Carlo method. (English) Zbl 1312.65209 SIAM J. Sci. Comput. 36, No. 4, A1556-A1580 (2014). Reviewer: T. C. Mohan (Chennai) MSC: 65P10 65L05 65C05 37J05 37M15 65C40 PDFBibTeX XMLCite \textit{S. Blanes} et al., SIAM J. Sci. Comput. 36, No. 4, A1556--A1580 (2014; Zbl 1312.65209) Full Text: DOI arXiv Link
Vartziotis, Dimitris; Himpel, Benjamin Efficient mesh optimization using the gradient flow of the mean volume. (English) Zbl 1322.65112 SIAM J. Numer. Anal. 52, No. 2, 1050-1075 (2014). Reviewer: Nina Shokina (Freiburg) MSC: 65N50 65N30 37C10 PDFBibTeX XMLCite \textit{D. Vartziotis} and \textit{B. Himpel}, SIAM J. Numer. Anal. 52, No. 2, 1050--1075 (2014; Zbl 1322.65112) Full Text: DOI arXiv
Kanatnikov, A. N. Localizing sets for invariant compact sets of discrete dynamical systems with perturbation and control. (English. Russian original) Zbl 1322.37013 Differ. Equ. 49, No. 12, 1645-1649 (2013); translation from Differ. Uravn. 49, No. 12, 1687-1691 (2013). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37C99 93C30 93C73 PDFBibTeX XMLCite \textit{A. N. Kanatnikov}, Differ. Equ. 49, No. 12, 1645--1649 (2013; Zbl 1322.37013); translation from Differ. Uravn. 49, No. 12, 1687--1691 (2013) Full Text: DOI
Dankowicz, Harry; Schilder, Frank Recipes for continuation. (English) Zbl 1277.65037 Computational Science & Engineering 11. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-56-6/pbk; 978-1-61197-257-3/ebook). xv, 584 p. (2013). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65H20 65-02 65Y20 68N30 34B15 65L10 65P30 37G15 PDFBibTeX XMLCite \textit{H. Dankowicz} and \textit{F. Schilder}, Recipes for continuation. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1277.65037) Full Text: DOI
Wang, Cheng-Chi Bifurcation and nonlinear analysis of a flexible rotor supported by a relative short spherical gas bearing system. (English) Zbl 1222.70024 Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2659-2671 (2010). MSC: 70K50 37N35 PDFBibTeX XMLCite \textit{C.-C. Wang}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2659--2671 (2010; Zbl 1222.70024) Full Text: DOI
Wang, Sha; Yu, Yongguang; Diao, Miao Application of multistage homotopy-perturbation method in hybrid synchronization of chaotic systems. (English) Zbl 1206.65256 Int. J. Comput. Math. 87, No. 13, 3007-3016 (2010). MSC: 65P20 37D45 65L06 PDFBibTeX XMLCite \textit{S. Wang} et al., Int. J. Comput. Math. 87, No. 13, 3007--3016 (2010; Zbl 1206.65256) Full Text: DOI
Plecháč, Petr; Rousset, Mathias Implicit mass-matrix penalization of Hamiltonian dynamics with application to exact sampling of stiff systems. (English) Zbl 1206.65253 Multiscale Model. Simul. 8(2009), No. 2, 498-539 (2010). Reviewer: Josep J. Masdemont (Barcelona) MSC: 65P10 65C05 82B20 82B80 82-08 37M15 PDFBibTeX XMLCite \textit{P. Plecháč} and \textit{M. Rousset}, Multiscale Model. Simul. 8, No. 2, 498--539 (2010; Zbl 1206.65253) Full Text: DOI arXiv
Zhu, Congxu Control and synchronize a novel hyperchaotic system. (English) Zbl 1191.37026 Appl. Math. Comput. 216, No. 1, 276-284 (2010). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D45 PDFBibTeX XMLCite \textit{C. Zhu}, Appl. Math. Comput. 216, No. 1, 276--284 (2010; Zbl 1191.37026) Full Text: DOI
Taogetusang; Sirendaoerji Constructing exact solutions to discrete systems with the trial function method. (English) Zbl 1199.37141 Appl. Math., Ser. B (Engl. Ed.) 23, No. 3, 286-294 (2008). MSC: 37K60 37K40 37-04 PDFBibTeX XMLCite \textit{Taogetusang} and \textit{Sirendaoerji}, Appl. Math., Ser. B (Engl. Ed.) 23, No. 3, 286--294 (2008; Zbl 1199.37141) Full Text: DOI
Lee, Ho Jae; Park, Jin Bae; Joo, Young Hoon Fuzzy model identification using a hybrid mGA scheme with application to chaotic system modeling. (English) Zbl 1125.93039 Li, Zhong (ed.) et al., Integration of fuzzy logic and chaos theory. Berlin: Springer (ISBN 978-3-540-26899-4/hbk). Studies in Fuzziness and Soft Computing 187, 81-97 (2006). MSC: 93C42 93A30 37D45 68T05 PDFBibTeX XMLCite \textit{H. J. Lee} et al., Stud. Fuzziness Soft Comput. 187, 81--97 (2006; Zbl 1125.93039)
Mazumder, Sudip K.; Nayfeh, Ali H. A new approach to the stability analysis of boost power-factor-correction circuits. (English) Zbl 1083.93044 J. Vib. Control 9, No. 7, 749-773 (2003). Reviewer: Lubomír Bakule (Praha) MSC: 93C95 93B12 93D05 78A55 37G15 PDFBibTeX XMLCite \textit{S. K. Mazumder} and \textit{A. H. Nayfeh}, J. Vib. Control 9, No. 7, 749--773 (2003; Zbl 1083.93044)
McLachlan, Robert I.; Quispel, G. R. W. Geometric integration of conservative polynomial ODEs. (English) Zbl 1021.65064 Appl. Numer. Math. 45, No. 4, 411-418 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65C05 37M15 PDFBibTeX XMLCite \textit{R. I. McLachlan} and \textit{G. R. W. Quispel}, Appl. Numer. Math. 45, No. 4, 411--418 (2003; Zbl 1021.65064) Full Text: DOI
Martynyuk, A. A. Practical stability of hybrid systems. (English. Russian original) Zbl 0696.70013 Sov. Appl. Mech. 25, No. 2, 194-200 (1989); translation from Prikl. Mekh., Kiev 25, No. 2, 101-107 (1989). MSC: 70K20 37-XX PDFBibTeX XMLCite \textit{A. A. Martynyuk}, Sov. Appl. Mech. 25, No. 2, 194--200 (1989; Zbl 0696.70013); translation from Prikl. Mekh., Kiev 25, No. 2, 101--107 (1989) Full Text: DOI