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arxiv: 1604.08048 · v1 · pith:7RC3PVCCnew · submitted 2016-04-27 · 🌊 nlin.CD

From geodesic flow on a surface of negative curvature to electronic generator of robust chaos

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keywords dynamicsflowgeodesicchaoschaoticcircuitcurvatureelectronic
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Departing from the geodesic flow on a surface of negative curvature as a classic example of the hyperbolic chaotic dynamics, we propose an electronic circuit operating as a generator of rough chaos. Circuit simulation in NI Multisim software package and numerical integration of the model equations are provided. Results of computations (phase trajectories, time dependences of variables, Lyapunov exponents and Fourier spectra) show good correspondence between the chaotic dynamics on the attractor of the proposed system and of the Anosov dynamics for the original geodesic flow.

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