Zlatanovska, Biljana; Dimovski, Dončo; Kocaleva Vitanova, Mirjana About the solutions of modified Lorenz system. (English) Zbl 07956164 Asian-Eur. J. Math. 17, No. 7, Article ID 2450054, 11 p. (2024). MSC: 37-XX 34A05 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Qihong; Jia, Yaqian; Yang, Jianwei Maxwell-Schrödinger equations in singular electromagnetic field. (English) Zbl 07953647 Appl. Math., Praha 69, No. 4, 437-450 (2024). MSC: 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fuchen; Xu, Fei Dynamical behavior of the generalized complex Lorenz chaotic system. (English) Zbl 1547.34079 J. Appl. Anal. Comput. 14, No. 4, 1915-1931 (2024). MSC: 34D06 34H10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fuchen; Zhou, Ping; Xu, Fei Qualitative properties of a physically extended six-dimensional Lorenz system. (English) Zbl 1546.34116 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 7, Article ID 2450083, 13 p. (2024). MSC: 34C60 37D45 34D45 34C28 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijun; Pan, Jun; Ke, Guiyao Revealing more hidden attractors from a new sub-quadratic Lorenz-like system of degree \(\frac{6}{5}\). (English) Zbl 1546.37056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 6, Article ID 2450071, 15 p. (2024). MSC: 37D45 34D45 34C07 34C28 34C37 34C23 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Parker, Jeremy P. The Lorenz system as a gradient-like system. (English) Zbl 07896362 Nonlinearity 37, No. 9, Article ID 095022, 17 p. (2024). MSC: 37D45 37M25 65G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Priyanka, T. M. C.; Gowrisankar, A.; Cao, Jinde Fractal functions associated with Reich contractions: an approximation of chaotic attractors. (English) Zbl 07891519 Numer. Algorithms 96, No. 4, 1869-1886 (2024). MSC: 28-XX × Cite Format Result Cite Review PDF Full Text: DOI
Pilipovic, Predrag; Samson, Adeline; Ditlevsen, Susanne Parameter estimation in nonlinear multivariate stochastic differential equations based on splitting schemes. (English) Zbl 1539.62258 Ann. Stat. 52, No. 2, 842-867 (2024). MSC: 62M05 62H12 60H10 62F12 60H35 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Guo, Siyu; Luo, Albert C. J. Period-1 to period-4 motions in a 5D Lorenz system. (English) Zbl 1546.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2450065, 12 p. (2024). MSC: 34C25 34C37 37C27 34C60 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Ghettout, Yasmina; Meddour, Lotfi; Hamaizia, Tayeb; Ouahabi, Rabiaa Dynamic analysis of a new hyperchaotic system with infinite equilibria and its synchronization. (English) Zbl 1549.93024 Nonlinear Dyn. Syst. Theory 24, No. 2, 147-158 (2024). MSC: 93C15 34H10 93B52 37G35 34D06 × Cite Format Result Cite Review PDF Full Text: Link
Yau, Her-Terng; Kuo, Ping-Huan; Luan, Po-Chien; Tseng, Yung-Ruen Proximal policy optimization-based controller for chaotic systems. (English) Zbl 1533.93303 Int. J. Robust Nonlinear Control 34, No. 1, 586-601 (2024). MSC: 93C10 93C15 34H10 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fuchen; Xu, Fei; Zhang, Xu Qualitative behaviors of a four-dimensional Lorenz system. (English) Zbl 1532.37039 J. Phys. A, Math. Theor. 57, No. 9, Article ID 095201, 22 p. (2024). MSC: 37D45 37G35 34C28 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Siddheshwar, P. G.; Sushma, T. S. Reduction of a tri-modal Lorenz model of ferrofluid convection to a cubic-quintic Ginzburg-Landau equation using the center manifold theorem. (English) Zbl 1532.35434 Differ. Equ. Dyn. Syst. 32, No. 1, 151-169 (2024). MSC: 35Q56 35Q35 76T20 76W05 76R10 76E30 76E06 78A35 78A30 80A19 35B32 37L10 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Aritra; Das, Soumya; Das, Pritha Hopf bifurcation analysis and existence of heteroclinic orbit and homoclinic orbit in an extended Lorenz system. (English) Zbl 1536.37049 Differ. Equ. Dyn. Syst. 32, No. 1, 33-49 (2024). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 37G20 37G15 37G10 37C29 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Yonggeun; Kwon, Soonsik; Lee, Kiyeon; Yang, Changhun The modified scattering for Dirac equations of scattering-critical nonlinearity. (English) Zbl 1542.35334 Adv. Differ. Equ. 29, No. 3-4, 179-222 (2024). MSC: 35Q41 35Q40 35Q55 35Q60 78A35 78A45 35B34 81V10 81T13 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chen, Yuming; Yang, Qigui Limit cycles from perturbed center on the invariant algebraic surface of unified Lorenz-type system. (English) Zbl 1546.34055 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 14, Article ID 2350172, 14 p. (2023). MSC: 34C08 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Martini, Davide; Angeli, David; Innocenti, Giacomo; Tesi, Alberto Bounding Lyapunov exponents through second additive compound matrices: case studies and application to systems with first integral. (English) Zbl 1546.37148 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 10, Article ID 2350114, 22 p. (2023). MSC: 37M25 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Erxi, Zhu; Min, Xu; Dechang, Pi Hopf bifurcation and stability of the double-delay Lorenz system. (English) Zbl 1544.34131 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 2, Article ID 2350015, 20 p. (2023). MSC: 34K18 34K20 34K23 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, Mohammad Internal synchronization using adaptive sliding mode. (English) Zbl 1532.93345 Int. J. Robust Nonlinear Control 33, No. 3, 2320-2335 (2023). MSC: 93D99 93C40 93B12 × Cite Format Result Cite Review PDF Full Text: DOI
Bukhari, Ayaz Hussain; Shoaib, Muhammad; Kiani, Adiqa Kausar; Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; Shu, Chi-Min Dynamical analysis of nonlinear fractional order Lorenz system with a novel design of intelligent solution predictive radial base networks. (English) Zbl 1540.34014 Math. Comput. Simul. 213, 324-347 (2023). MSC: 34A08 34H10 37D45 34D06 × Cite Format Result Cite Review PDF Full Text: DOI
Čelikovský, Sergej; Lynnyk, Volodymyr; Lynnyk, Anna; Rehák, Branislav Generalized synchronization in the networks with directed acyclic structure. (English) Zbl 1549.93017 Kybernetika 59, No. 3, 437-460 (2023). MSC: 93B70 93C15 34D06 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Vargas, D. A.; Falgout, R. D.; Günther, S.; Schroder, J. B. Multigrid reduction in time for chaotic dynamical systems. (English) Zbl 1529.65045 SIAM J. Sci. Comput. 45, No. 4, A2019-A2042 (2023). Reviewer: Kai Schneider (Marseille) MSC: 65M22 65M55 65M06 65Y05 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elsonbaty, A.; Salman, Sanaa M.; Aldurayhim, A.; Abdo, N. F.; Hagras, E. A.; Elsadany, A. A. Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system. (English) Zbl 1516.39002 S\(\vec{\text{e}}\)MA J. 80, No. 1, 131-158 (2023). MSC: 39A28 39A13 39A33 68P25 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Baysal, Veli; Solmaz, Ramazan; Ma, Jun Investigation of chaotic resonance in type-I and type-II Morris-Lecar neurons. (English) Zbl 1511.92009 Appl. Math. Comput. 448, Article ID 127940, 11 p. (2023). MSC: 92C20 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Hao; Wu, Shang; Yang, Hongfu; Huang, Jianhua Synchronization of the Rössler-Lorenz systems with fractional Brownian motion. (English) Zbl 07908182 J. Appl. Anal. Comput. 12, No. 5, 1727-1747 (2022). MSC: 60H15 37L55 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Weisheng; Zhang, Yuhong; Yang, Xiao-Song Complicated boundaries of the attraction basin in a class of three-dimensional polynomial systems. (English) Zbl 1544.37029 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 16, Article ID 2250235, 17 p. (2022). MSC: 37D45 37C70 34C28 34D45 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Dongpei; Deng, Dong Dynamical transition and chaos for a five-dimensional Lorenz model. (English) Zbl 1527.34071 Math. Methods Appl. Sci. 45, No. 3, 1612-1631 (2022). MSC: 34C28 34C23 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Meddour, Lotfi; Belakroum, Kheireddine On the equivalence of Lorenz system and Li system. (English) Zbl 1538.34163 Nonlinear Dyn. Syst. Theory 22, No. 1, 58-65 (2022). MSC: 34C41 34C20 34A34 34C28 × Cite Format Result Cite Review PDF Full Text: Link
Samia, Rezzag Chaos synchronization of the 4D hyperchaotic Lorenz Stenflo system. (English) Zbl 1504.65276 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 391-397 (2022). MSC: 65P20 65P30 65P40 × Cite Format Result Cite Review PDF Full Text: Link
Zlatanovska, Biljana; Piperevski, Boro A particular solution of the third-order shortened Lorenz system via integrability of a class of differential equations. (English) Zbl 1504.34003 Asian-Eur. J. Math. 15, No. 10, Article ID 2250242, 13 p. (2022). MSC: 34A05 34A34 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Zlatanovska, Biljana; Dimovski, Dončo Recurrent solutions of the Lorenz system of differential equations. (English) Zbl 1505.65311 Asian-Eur. J. Math. 15, No. 10, Article ID 2250241, 32 p. (2022). MSC: 65Q10 39A12 41A58 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fangfang; Zhang, Shuaihu; Chen, Guanrong; Li, Chunbiao; Li, Zhengfeng; Pan, Changchun Special attractors and dynamic transport of the hybrid-order complex Lorenz system. (English) Zbl 1508.37048 Chaos Solitons Fractals 164, Article ID 112700, 27 p. (2022). MSC: 37D45 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Gonchenko, Aleksandr Sergeevich; Korotkov, Aleksandr Gennad’evich; Samylina, Evgeniya Aleksandrovna On a reversible three-dimensional system containing attractor and Lorenz repeller. (Russian. English summary) Zbl 1509.37039 Differ. Uravn. Protsessy Upr. 2022, No. 2, 187-204 (2022). MSC: 37D45 37G35 × Cite Format Result Cite Review PDF Full Text: Link
Du, Qiang; Gu, Yiqi; Yang, Haizhao; Zhou, Chao The discovery of dynamics via linear multistep methods and deep learning: error estimation. (English) Zbl 1506.65105 SIAM J. Numer. Anal. 60, No. 4, 2014-2045 (2022). MSC: 65L06 65L09 65L20 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khodakaram-Tafti, Amin; Emdad, Homayoun; Mahzoon, Mojtaba Dynamical and chaotic behaviors of natural convection flow in semi-annular cylindrical domains using energy-conserving low-order spectral models. (English) Zbl 1510.76052 Appl. Math. Comput. 433, Article ID 127415, 21 p. (2022). MSC: 76E06 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Shuangling; Shi, Shaoyun; Li, Wenlei On integrability of the segmented disc dynamo: the effect of mechanical friction. (English) Zbl 1510.70044 Z. Angew. Math. Phys. 73, No. 3, Paper No. 125, 33 p. (2022). MSC: 70H06 70H07 78A55 × Cite Format Result Cite Review PDF Full Text: DOI
Rohila, Rajni; Mittal, R. C. Analysis of chaotic behavior of three-dimensional dynamical systems by a \(B\)-spline differential quadrature algorithm. (English) Zbl 1520.65079 Asian-Eur. J. Math. 15, No. 4, Article ID 2250077, 31 p. (2022). MSC: 65P10 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J. Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. (English) Zbl 1500.34016 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106482, 23 p. (2022). Reviewer: Yong Ye (Shenzhen) MSC: 34A34 34C20 34C23 34D45 34C37 34E10 34C05 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Adiyaman, Meltem High order approach for solving chaotic and hyperchaotic problems. (English) Zbl 1499.65270 Hacet. J. Math. Stat. 51, No. 1, 27-47 (2022). MSC: 65L05 65L70 65P20 37M05 × Cite Format Result Cite Review PDF Full Text: DOI
Deressa, Chernet Tuge; Etemad, Sina; Kaabar, Mohammed K. A.; Rezapour, Shahram Qualitative analysis of a hyperchaotic Lorenz-Stenflo mathematical model via the Caputo fractional operator. (English) Zbl 1492.34050 J. Funct. Spaces 2022, Article ID 4975104, 21 p. (2022). MSC: 34C60 34A08 76B15 34C05 34D20 34D08 34C28 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Kerin, John; Engler, Hans On the Lorenz ’96 model and some generalizations. (English) Zbl 1492.34055 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 769-797 (2022). Reviewer: Eduard Musafirov (Grodno) MSC: 34C60 86A10 34C14 34C20 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Leo, Roberto; Yorke, James A. Infinite towers in the graphs of many dynamical systems. (English) Zbl 1537.34063 Nonlinear Dyn. 105, No. 1, 813-835 (2021). MSC: 34C28 37D45 34D45 34C23 37B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Toni, Bourama Archimedean and non-Archimedean approaches to mathematical modeling. (English) Zbl 1504.00010 Toni, Bourama (ed.), The mathematics of patterns, symmetries, and beauties in nature. In honor of John Adam. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 117-142 (2021). MSC: 00A71 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshida, Hiroyuki From local bifurcations to global dynamics: Hopf systems from the applied perspective. (English) Zbl 1508.37007 Orlando, Giuseppe (ed.) et al., Nonlinearities in economics. An interdisciplinary approach to economic dynamics, growth and cycles. Cham: Springer. Dyn. Model. Econom. Econ. Finance 29, 73-86 (2021). MSC: 37-01 37D45 37G35 37G10 34K18 34K23 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Ajit K. Complex chaotic systems and its complexity. (English) Zbl 1497.37043 Chadli, Ouayl (ed.) et al., Mathematical analysis and applications, MAA 2020. Selected papers based on the presentations at the conference, Jamshedpur, India, November 2–4, 2020. Singapore: Springer. Springer Proc. Math. Stat. 381, 155-166 (2021). MSC: 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Dlamini, Anastacia; Goufo, Emile F. Doungmo; Khumalo, Melusi On the Caputo-Fabrizio fractal fractional representation for the Lorenz chaotic system. (English) Zbl 1514.34015 AIMS Math. 6, No. 11, 12395-12421 (2021). MSC: 34A08 34A34 34C28 26A33 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Siyu; Luo, Albert C. J. A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system. (English) Zbl 1496.37022 Lobachevskii J. Math. 42, No. 14, 3382-3437 (2021). MSC: 37C29 37C25 37C70 37G15 37G35 × Cite Format Result Cite Review PDF Full Text: DOI
Földes, Juraj; Glatt-Holtz, Nathan E.; Herzog, David P. Sensitivity of steady states in a degenerately damped stochastic Lorenz system. (English) Zbl 1487.37069 Stoch. Dyn. 21, No. 8, Article ID 2150055, 32 p. (2021). MSC: 37H30 37A25 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baysal, Veli; Yılmaz, Ergin Chaotic signal induced delay decay in Hodgkin-Huxley neuron. (English) Zbl 1510.92041 Appl. Math. Comput. 411, Article ID 126540, 12 p. (2021). MSC: 92C20 × Cite Format Result Cite Review PDF Full Text: DOI
Penenko, Alexey V.; Mukatova, Zhadyra S.; Salimova, Akzhan B. Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model. (English) Zbl 07412526 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 5, 581-592 (2021). MSC: 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xianyi; Mirjalol, Umirzakov Modeling and analysis of dynamics for a 3D mixed Lorenz system with a damped term. (English) Zbl 1525.34069 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 2, 217-241 (2021). MSC: 34C37 34C23 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Jiyu Qualitative properties and two strong resonances of a discrete reduced Lorenz system. (English) Zbl 1481.37051 J. Difference Equ. Appl. 27, No. 6, 858-884 (2021). MSC: 37G05 37M20 39A28 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Mider, Marcin; Schauer, Moritz; van der Meulen, Frank Continuous-discrete smoothing of diffusions. (English) Zbl 1475.60150 Electron. J. Stat. 15, No. 2, 4295-4342 (2021). MSC: 60J60 65C05 62F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Özer, Ahmet Özkan Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations. (English) Zbl 1475.78003 Appl. Math. Optim. 84, No. 1, 877-914 (2021). MSC: 78A25 78A55 74F15 74H15 74N30 93B52 78M20 74S20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jiantang; Huang, Sixun; Cheng, Jin Parameter estimation for a chaotic dynamical system with partial observations. (English) Zbl 1471.34035 J. Inverse Ill-Posed Probl. 29, No. 4, 515-524 (2021). MSC: 34A34 34C28 93B30 65D30 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Weisheng; Yang, Xiao-Song Chaos in the periodically parametrically excited Lorenz system. (English) Zbl 1471.34083 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2130024, 15 p. (2021). MSC: 34C28 34A34 37C60 34D45 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Ginoux, Jean-Marc Slow invariant manifolds of slow-fast dynamical systems. (English) Zbl 1471.34114 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 7, Article ID 2150112, 17 p. (2021). MSC: 34E15 34C45 37M21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xu Boundedness of a class of complex Lorenz systems. (English) Zbl 1471.34036 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 7, Article ID 2150101, 22 p. (2021). MSC: 34A34 34C11 34C28 37D45 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Čelikovský, Sergej; Chen, Guanrong Generalized Lorenz canonical form revisited. (English) Zbl 1467.93048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150079, 15 p. (2021). MSC: 93B10 93C15 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Moon, Sungju; Baik, Jong-Jin; Hong, Seong-Ho Coexisting attractors in a physically extended Lorenz system. (English) Zbl 1469.37059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2130016, 15 p. (2021). MSC: 37M22 37M20 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Siyu; Luo, Albert C. J. On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system. (English) Zbl 1469.37016 Chaos 31, No. 4, Article ID 043106, 13 p. (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 37C29 37C27 37G15 37M20 37M21 × Cite Format Result Cite Review PDF Full Text: DOI
Gonchenko, Sergey; Kazakov, Alexey; Turaev, Dmitry Wild pseudohyperbolic attractor in a four-dimensional Lorenz system. (English) Zbl 1472.34106 Nonlinearity 34, No. 4, 2018-2047 (2021). Reviewer: Eduard Musafirov (Grodno) MSC: 34D45 34A34 34C28 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan Mitigating long transient time in deterministic systems by resetting. (English) Zbl 1466.37060 Chaos 31, No. 1, Article ID 011103, 7 p. (2021). MSC: 37M05 37M21 37H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vijayalakshmi, Palanisamy; Jiang, Zhiheng; Wang, Xiong Lagrangian formulation of Lorenz and Chen systems. (English) Zbl 1464.37057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150055, 7 p. (2021). MSC: 37J06 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yi Juan; Shiue, Ming-Cheng Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques. (English) Zbl 1461.65210 J. Comput. Appl. Math. 386, Article ID 113246, 18 p. (2021). MSC: 65L09 × Cite Format Result Cite Review PDF Full Text: DOI
Vadivel, Rajarathinam; Joo, Young Hoon Finite-time sampled-data fuzzy control for a non-linear system using passivity and passification approaches and its application. (English) Zbl 1544.93721 IET Control Theory Appl. 14, No. 8, 1033-1045 (2020). MSC: 93D40 93C57 93C42 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Huanqing; Yue, Hanxue; Liu, Siwen; Li, Tieshan Adaptive fixed-time control for Lorenz systems. (English) Zbl 1517.93080 Nonlinear Dyn. 102, No. 4, 2617-2625 (2020). MSC: 93D21 34H10 93C40 × Cite Format Result Cite Review PDF Full Text: DOI
Talbi, Ibtissem; Ouannas, Adel; Khennaoui, Amina-Aicha; Berkane, Abdelhak; Batiha, Iqbal M.; Grassi, Giuseppe; Pham, Viet-Thanh Different dimensional fractional-order discrete chaotic systems based on the Caputo \(h\)-difference discrete operator: dynamics, control, and synchronization. (English) Zbl 1487.39013 Adv. Difference Equ. 2020, Paper No. 624, 14 p. (2020). MSC: 39A13 39A70 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Khomenko, Alexei; Shikura, Alexey Nonlinear kinetics of transition between transport flow modes. (English) Zbl 07531592 Physica A 557, Article ID 124965, 7 p. (2020). MSC: 82-XX 82-02 82B26 82C26 37F99 × Cite Format Result Cite Review PDF Full Text: DOI
Arshad, Usman; Khan, Majid; Shaukat, Sajjad; Amin, Muhammad; Shah, Tariq An efficient image privacy scheme based on nonlinear chaotic system and linear canonical transformation. (English) Zbl 07530129 Physica A 546, Article ID 123458, 18 p. (2020). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Hart, Allen; Hook, James; Dawes, Jonathan Embedding and approximation theorems for echo state networks. (English) Zbl 1468.68098 Neural Netw. 128, 234-247 (2020). MSC: 68Q06 37M05 55N31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adiyaman, Meltem Evrenosoglu; Noyan, Burcu Residual method for nonlinear system of initial value problems. (English) Zbl 1474.65207 Comput. Methods Differ. Equ. 8, No. 4, 733-744 (2020). MSC: 65L05 65L20 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Zlatanovska, Biljana; Piperevski, Boro Dynamic analysis of the dual Lorenz system. (English) Zbl 1465.37027 Asian-Eur. J. Math. 13, No. 8, Article ID 2050171, 12 p. (2020). MSC: 37C10 37C79 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Zlatanovska, Biljana; Dimovski, Dončo A modified Lorenz system: definition and solution. (English) Zbl 1459.34058 Asian-Eur. J. Math. 13, No. 8, Article ID 2050164, 7 p. (2020). MSC: 34A34 34A05 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Chengwei; Liu, Huihui; Li, Hantao Unstable periodic orbits analysis in the generalized Lorenz-type system. (English) Zbl 1459.37022 J. Stat. Mech. Theory Exp. 2020, No. 7, Article ID 073211, 21 p. (2020). MSC: 37C27 37D45 34C25 34C28 37G10 37M20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Binay Kumar; Aneja, Neetu; Tripathi, P. Reduced order multiswitching synchronization between two hyperchaotic systems of different order. (English) Zbl 1458.34101 Nonlinear Dyn. Syst. Theory 20, No. 5, 542-551 (2020). MSC: 34D06 34A34 34C28 34H05 × Cite Format Result Cite Review PDF Full Text: Link
Zheng, Xu; Feng, Chen; Li, Tengyue; Cheng, Lun; He, Bo Construction and analysis of complex network based on Pro-DPCA preprocessing algorithm. (Chinese. English summary) Zbl 1474.90090 Period. Ocean Univ. China 50, No. 7, 143-152 (2020). MSC: 90B15 62M10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Heyuan; Li, Jia; Wang, Meiyu; Song, Siqi; Wang, Xiaofan; Cao, Tingting Dynamical behavior analysis and numerical simulation of new five-mode Lorenz-like equations. (Chinese. English summary) Zbl 1463.35407 J. Shenyang Norm. Univ., Nat. Sci. 38, No. 2, 164-170 (2020). MSC: 35Q30 37D45 65P40 × Cite Format Result Cite Review PDF Full Text: DOI
Pena Ramirez, Jonatan; Alvarez, Joaquin Mixed synchronization in unidirectionally coupled chaotic oscillators. (English) Zbl 1454.93265 Lacarbonara, Walter (ed.) et al., Nonlinear dynamics and control. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume II. Cham: Springer. 315-323 (2020). MSC: 93D99 93C15 34H10 × Cite Format Result Cite Review PDF Full Text: DOI
Durey, Matthew Bifurcations and chaos in a Lorenz-like pilot-wave system. (English) Zbl 1456.37095 Chaos 30, No. 10, 103115, 12 p. (2020). MSC: 37M20 37N10 70K50 70K55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Ri-Gui; Li, Ying-Bin Quantum image encryption based on Lorenz hyper-chaotic system. (English) Zbl 1450.81036 Int. J. Quantum Inf. 18, No. 5, Article ID 2050022, 21 p. (2020). MSC: 81P94 68U10 81Q50 60J60 × Cite Format Result Cite Review PDF Full Text: DOI
Doungmo Goufo, Emile Franc The proto-Lorenz system in its chaotic fractional and fractal structure. (English) Zbl 1452.37086 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2050180, 14 p. (2020). MSC: 37M22 37M05 37C45 37D45 26A33 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Meddour, Lotfi; Zeraoulia, Elhadj About the three-dimensional quadratic autonomous system with two quadratic terms equivalent to the Lorenz system. (English) Zbl 1448.93136 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 27, No. 3, 133-143 (2020). MSC: 93C15 93C10 34C28 34C41 × Cite Format Result Cite Review PDF Full Text: Link
Huang, Lilian; Zhang, Zefeng; Xiang, Jianhong Simplified method and synchronization for a class of complex chaotic systems. (English) Zbl 1451.34073 Math. Methods Appl. Sci. 43, No. 4, 1857-1867 (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34D06 34A34 34C28 34C20 34H10 × Cite Format Result Cite Review PDF Full Text: DOI
Leonov, G. A.; Mokaev, R. N.; Kuznetsov, N. V.; Mokaev, T. N. Homoclinic bifurcations and chaos in the fishing principle for the Lorenz-like systems. (English) Zbl 1450.34027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2050124, 20 p. (2020). MSC: 34C23 34C28 34A34 34C37 37M20 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Fangyan; Cao, Yongming; Chen, Lijuan; Li, Qingdu Sequence of routes to chaos in a Lorenz-type system. (English) Zbl 1448.34092 Discrete Dyn. Nat. Soc. 2020, Article ID 3162170, 10 p. (2020). Reviewer: Aleksandra Tutueva (St. Petersburg) MSC: 34C28 34A34 34D45 34C23 34C05 34C14 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Geurts, Bernard J.; Holm, Darryl D.; Luesink, Erwin Lyapunov exponents of two stochastic Lorenz 63 systems. (English) Zbl 1459.37066 J. Stat. Phys. 179, No. 5-6, 1343-1365 (2020). MSC: 37L55 37A60 37D25 34D08 60H30 76M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yang; Wada, Takeshi Long range scattering for the Maxwell-Schrödinger system in the Lorenz gauge without any restriction on the size of data. (English) Zbl 1434.35214 J. Differ. Equations 269, No. 4, 2798-2852 (2020). MSC: 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijun; Zhang, Fumin Bifurcations, ultimate boundedness and singular orbits in a unified hyperchaotic Lorenz-type system. (English) Zbl 1471.34071 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1791-1820 (2020). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C23 34C45 34C37 34C11 34A34 34C28 × Cite Format Result Cite Review PDF Full Text: DOI
Breden, Maxime; Kuehn, Christian Computing invariant sets of random differential equations using polynomial chaos. (English) Zbl 1441.37057 SIAM J. Appl. Dyn. Syst. 19, No. 1, 577-618 (2020). Reviewer: Carlo Laing (Auckland) MSC: 37H10 37H05 37M21 37M22 34F05 60H35 41A58 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Yang, Ting Homoclinic orbits and chaos in the generalized Lorenz system. (English) Zbl 1450.34029 Discrete Contin. Dyn. Syst., Ser. B 25, No. 3, 1097-1108 (2020). Reviewer: Nikolay Dimitrov (Ruse) MSC: 34C37 34C28 34C05 34D20 34C45 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Hassan, Sk. Sarif; Reddy, Moole Parameswar; Rout, Ranjeet Kumar Dynamics of the modified \(n\)-degree Lorenz system. (English) Zbl 1538.37017 Appl. Math. Nonlinear Sci. 4, No. 2, 315-330 (2019). MSC: 37D45 34C28 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Bin; Sun, Zhijie; Luo, Yihao; Zhong, Yuxuan Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control. (English) Zbl 07569427 Physica A 531, Article ID 121725, 14 p. (2019). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Coşkun, Safa Bozkurt; Atay, Mehmet Tarık; Şentürk, Erman Interpolated variational iteration method for solving the jamming transition problem. (English) Zbl 1540.90062 Math. Comput. Simul. 166, 481-493 (2019). MSC: 90B20 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Dong; Sun, Kehui; He, Shaobo; Alamodi, Abdulaziz O. A. What is the lowest order of the fractional-order chaotic systems to behave chaotically? (English) Zbl 1448.34090 Chaos Solitons Fractals 119, 163-170 (2019). MSC: 34C28 65P20 34A08 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Cang, Shijian; Li, Yue; Zhang, Ruiye; Wang, Zenghui Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points. (English) Zbl 1439.34045 Nonlinear Dyn. 95, No. 1, 381-390 (2019). MSC: 34C28 37D45 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Hassan, Sk. Sarif Computational complex dynamics of the discrete Lorenz system. (English) Zbl 1431.34064 J. Appl. Nonlinear Dyn. 8, No. 3, 345-366 (2019). MSC: 34C60 34C28 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Rui; Kalnay, Eugenia; Balachandran, Balakumar Neural machine-based forecasting of chaotic dynamics. (English) Zbl 1430.37043 Nonlinear Dyn. 98, No. 4, 2903-2917 (2019). MSC: 37D45 68T07 37M05 × Cite Format Result Cite Review PDF Full Text: DOI
Baysal, Veli; Saraç, Zehra; Yilmaz, Ergin Chaotic resonance in Hodgkin-Huxley neuron. (English) Zbl 1430.92015 Nonlinear Dyn. 97, No. 2, 1275-1285 (2019). MSC: 92C20 92C42 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Cameron, Maria; Yang, Shuo Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. (English) Zbl 1451.65164 Commun. Appl. Math. Comput. Sci. 14, No. 2, 207-246 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 65C30 34F05 60H10 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv