Title | ||
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Analog implementations of dynamical systems with equilibria degenerated into plane objects |
Abstract | ||
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This brief paper is focused on realization of chaotic system having some sort of equilibrium degeneration in the form of a lumped electronic circuit. Since only third-order dynamics is considered topological dimension of equilibrium structure equals one. Mathematical models are generalized into classes in order to construct universal analog network capable to model rich scale of associated dynamics. A necessary numerical analysis is provided and results are kept as the reference shapes for particular chaotic attractors. By referring to the best knowledge of the author's real implementation of current-mode chaotic system with circular as well as elliptical equilibrium was not reported so far. Computer simulations are included in order to demonstrate chaotic motion. |
Year | DOI | Venue |
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2016 | 10.1109/TSP.2016.7760870 | 2016 39th International Conference on Telecommunications and Signal Processing (TSP) |
Keywords | Field | DocType |
circuit synthesis,dynamical system,chaos,lumped network,nonlinear dynamics | Attractor,Differential equation,Control theory,Computer science,Lebesgue covering dimension,Dynamical systems theory,Chaotic,Mathematical model,Numerical analysis,Electronic circuit | Conference |
ISBN | Citations | PageRank |
978-1-5090-1289-3 | 0 | 0.34 |
References | Authors | |
3 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jiri Petrzela | 1 | 23 | 11.58 |
Milan Guzan | 2 | 3 | 1.46 |