Title
Analog implementations of dynamical systems with equilibria degenerated into plane objects
Abstract
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
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 Petrzela12311.58
Milan Guzan231.46