Abstract
Circuit realization of the inductance equivalent that contains two operational amplifiers, one capacitor, and four resistors is presented. The mathematical equation that allow convert inductor value to resistance of potentiometer is shown. Computer modeling results of the algorithm for calculate inductance was realized in the modern software LabView. Experimental results of realization of the equivalent of inductance are presented. The designed layout was applied for chaotic Chua’s generator.
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References
A. Rhif, S. Vaidyanathan, A. Sambas, A fish biology chaotic system and its circuit design. IOP Conf. Ser. J. Phys. 1179 012011 (2019)
V. Hajnova, L. Pribylova, Two-parameter bifurcations in LPA model. J. Math. Biol. 75(5), 1235–1251 (2017)
S. Vaidyanathan, M. Feki, A. Sambas, C.H. Lien, A new biological snap oscillator: its modelling, analysis, simulations and circuit design. Int. J. Simul. Process Model. 13(5), 419–432 (2018)
L. Pribylova, Regime shifts caused by adaptive dynamics in prey-predator models and their relationship with intraspecific. Ecol. Complex. 36, 48–56 (2018)
L. Pribylova, A. Peniaskova, Foraging facilitation among predators and its impact on the stability of predator-prey dynamics. Ecol. Complex. 29, 30–39 (2017)
V. Rusyn, O. Savko, Modeling of chaotic behavior in the economic model. in CHAOS 2015–8th Chaotic Modeling and Simulation International Conference, Proceedings 2015, 705–712 (2015)
S. Vaidyanathan, A. Sambas, S. Kacar, U. Cavusoglu, A new finance chaotic system, its electronic circuit realization, passivity based synchronization and an application to voice encryption. Nonlinear Eng. 8(1), 193–205 (2019)
L. Pribylova, Bifurcation routes to chaos in an extended Van der Pol’s equation applied to economic models. Electron. J. Differ. Equ. 53, 1–21 (2009)
V. Rusyn, A. Samila, Ch. Skiadas, Computer modeling and practical realization of chaotic circuit with a light-emitting diode. in Fourteenth International Conference on Correlation Optics, Chernivtsi, pp. 113690D (2020)
C.H. Skiadas, Exact solutions of stochastic differential equations: Gompertz, generalized logistic and revised exponential. Method. Comput. Appl. Probab. 12(2), 261–270 (2010)
C.H. Skiadas, C. Skiadas, Chaotic modelling and simulation: Analysis of chaotic models, attractors and forms. In: Taylor & Francis Group, pp. 1–345, LLC (2008)
L. Chua, Memristor—the missing circuit element. IEEE Trans. Circuit Theory 18(5), 507–519 (1971)
V. Rusyn, S. Khrapko, Memristor: Modeling and research of information properties. Springer Proc. Complex. 229–238 (2019)
A. Sambas, W.S.M. Sanjaya, M. Mamat, P.R. Putra, A.T. Azar, Mathematical modelling of chaotic jerk circuit and its application in secure communication system. Stud. Fuzziness Soft. Comput. 337, 133–153 (2016)
A. Sambas, M.W.S. Sanjaya, M. Mamat, H. Diyah, Design and analysis bidirectional chaotic synchronization of rossler circuit and its application for secure communication. Appl. Math. Sci. 7(1), 11–21 (2013)
C.-H. Lien, S. Vaidyanathan, A. Sambas, M. Mamat, W.S.M. Sanjaya, A new two-scroll chaotic attractor with three quadratic nonlinearities, its adaptive control and circuit design. IOP Conf. Ser. Mater. Sci. Eng. 332, 1, 012010 (2018)
V.B. Rusyn, Modeling and research of chaotic rossler system with LabView and multisim software environments. Bulletin of National Technical University of Ukraine Kyiv Polytechnic Institute. Series Radiotechnique Radioapparatus Building, 59, 21–28 (2014)
V. Rusyn, A. Stancu, L. Stoleriu, Modeling and control of chaotic multi-scroll jerk system in LabView. Bulletin of National Technical University of Ukraine Kyiv Polytechnic Institute. Series Radiotechnique Radioapparatus Building, 62, 94–99 (2015)
A. Sambas, S. Vaidyanathan, M. Mamat, W.S. Mada Sanjaya, A six-term novel chaotic system with hidden attractor and its circuit design. Stud. Syst. Decis. Control 133, 365–373 (2018)
V.B. Rusyn, I. Pavlyukevich, L. Pribylova, H.C. Skiadas, Design, modeling and research of the new non-autonomous chaotic generator. Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia 77, 13–16 (2019)
V. Rusyn, M. Kushnir, O. Galameiko, Hyperchaotic control by thresholding method. in Modern Problems of Radio Engineering, Telecommunications and Computer Science - Proceedings of the 11th International Conference, TCSET'2012, art. No. 6192785, p. 67 (2012)
V. Rusyn, S. Subbotin, A. Sambas, Analysis and experimental realization of the logistic map using Arduino Pro Mini. CEUR Workshop Proc. 2608, 300–310 (2020)
V. Rusyn, Ch. Skiadas, Threshold method for control of chaotic oscillations. Springer Proceedings in Complexity. Springer, pp. 217–229 (2020)
V. Rusyn, Modeling and research information properties of rucklidge chaotic system using LabView. in CHAOS 2017—Proceedings: 10th Chaotic Modeling and Simulation International Conference, 739–744 (2017)
V.B. Rusyn, L. Pribylova, D.-G. Dimitriu, Control of the modified chaotic Chua’s circuit using threshold method. Visn. NTUU KPI. Radioteh. radioaparatobuduv. 75, 61–65 (2018)
V. Rusyn, M.A. Mohamad, D. Purwandari, M. Mamat, J. Titaley, B. Pinontoan, Chaotic and controlling regimes of a new modified Chua’s generator. J. Adv. Res. Dyn. Control Syst. 12(02), 556–561 (2020)
V. Rusyn, M. Mohamad, J. Titaley, N. Nainggolan, M. Mamat, Design, computer modelling, analysis and control of the new chaotic generator. J. Adv. Res. Dyn. Control Syst. 12(02), 2306–2311 (2020)
V. Rusyn, M. Sadli, M. Mamat, M.S. Mujiarto, W.S. , Computer modelling of a new simple chaotic generator. J. Phys. Conf. Ser. 1477, 022010 (2020)
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Rusyn, V., Skiadas, C.H., Sambas, A. (2021). Software Realization, Analysis and Experimental Investigation of Equivalent Inductance. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_52
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