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Quantum approach to the dynamical systems modeling
Author(s): Yu. I. Bogdanov; N. A. Bogdanova; D. V. Fastovets; V. F. Lukichev
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Paper Abstract

We present a general approach to the classical dynamical systems simulation. This approach is based on classical systems extension to quantum states. The proposed theory can be applied to analysis of multiple (including nonHamiltonian) dissipative dynamical systems. As examples, we consider the logistic model, the Van der Pol oscillator, dynamical systems of Lorenz, Rössler (including Rössler hyperchaos) and Rabinovich-Fabrikant. Developed methods and algorithms integrated in quantum simulators will allow us to solve a wide range of problems with scientific and practical significance.

Paper Details

Date Published: 15 March 2019
PDF: 12 pages
Proc. SPIE 11022, International Conference on Micro- and Nano-Electronics 2018, 110222Q (15 March 2019); doi: 10.1117/12.2522426
Show Author Affiliations
Yu. I. Bogdanov, Institute of Physics and Technology (Russian Federation)
National Research Univ. of Electronic Technology (Russian Federation)
National Research Nuclear Univ. (Russian Federation)
N. A. Bogdanova, Institute of Physics and Techonology (Russian Federation)
National Research Nuclear University (MEPhI) (Russian Federation)
D. V. Fastovets, Institute of Physics and Technology (Russian Federation)
National Research Univ of Electronic Technology (Russian Federation)
V. F. Lukichev, Institute of Physics and Technology (Russian Federation)


Published in SPIE Proceedings Vol. 11022:
International Conference on Micro- and Nano-Electronics 2018
Vladimir F. Lukichev; Konstantin V. Rudenko, Editor(s)

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