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15 March 2019 Quantum approach to the dynamical systems modeling
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Proceedings Volume 11022, International Conference on Micro- and Nano-Electronics 2018; 110222Q (2019) https://doi.org/10.1117/12.2522426
Event: The International Conference on Micro- and Nano-Electronics 2018, 2018, Zvenigorod, Russian Federation
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.
© (2019) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets, and V. F. Lukichev "Quantum approach to the dynamical systems modeling", Proc. SPIE 11022, International Conference on Micro- and Nano-Electronics 2018, 110222Q (15 March 2019); https://doi.org/10.1117/12.2522426
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