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SM ISO690:2012 MUNTEANU, Florian, IONESCU, Adela. Analyzing the Jacobi stability of Lu's circuit system. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, pp. 20-21. |
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Conference on Applied and Industrial Mathematics Ediţia a 28-a, 2021 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 17-18 septembrie 2021 | ||||||
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MSC 2010: 34D20, 37C20, 37C75, 53E10 | ||||||
Pag. 20-21 | ||||||
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In this paper we will made a study of the Jacobi stability of Lu's circuit system using the geometric tools of the Kosambi-Cartan-Chern theory. In order to nd the Jacobi stability conditions, we will determine all ve invariants of the KCC-theory which express the intrinsic geometric properties of the system, including the deviation curvature tensor which determine the Jacobi stability of the system near equilibrium points.Bibliography [1] J. Lu, G. Chen, A New Chaotic Attractor Coined, Int. J. of Bif. Chaos, vol. 12, no. 03, 2002, pp. 659-661, https://doi.org/10.1142/S0218127402004620. [2] P. L. Antonelli, R. S. Ingarden, and M. Matsumoto, The Theories of Sprays and Finsler Spaces with Application in Physics and Biology, Kluwer Academic Publishers, Dordrecht/ Boston/London, 1993. [3] C. G. Bohmer, T. Harko and S. V. Sabau, Jacobi stability analysis of dynamical systems| applications in gravitation and cosmology, Adv. Theor. Math. Phys. 16 (4), 2012, pp. 1145{1196. [4] F. Munteanu, A. Ionescu, A Note on the Behavior of the Lu Dynamical System in a Slightly Simpli ed Version, IEEE Proc. of ICATE 2018, pp. 1-4, https://ieeexplore.ieee.org/document/8551467 [5] F. Munteanu, A. Ionescu, Analyzing the Nonlinear Dynamics of a Cubic Modi ed Chua's Circuit System, IEEE Proc. of ICATE 2021, pp. 1-6, https://ieeexplore.ieee.org/document/9465025 |
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Cuvinte-cheie Lu circuit system, Jacobi stability, KCC-theory |
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