Canonization of dynamical system reprezentation using trivial linear transformations

Canonization of dynamical system reprezentation using trivial linear transformations

Paper in proceedings (conference paper)

This brief paper brings a demonstration how the linear transformation of the coordinates including state variable offsets can simplify the final circuit realization of a third-order autonomous deterministic dynamical system. The structures of the individual derived analog oscillators are canonical in the sense of minimum active devices utilized to synthesize both linear and nonlinear part of the vector field. Since the studied mathematical models consist of two quadratic polynomials maximal network design efficiency provided by multiplier transfer function must be achieved. Several implementations have been verified by using Orcad Pspice circuit simulator.

This brief paper brings a demonstration how the linear transformation of the coordinates including state variable offsets can simplify the final circuit realization of a third-order autonomous deterministic dynamical system. The structures of the individual derived analog oscillators are canonical in the sense of minimum active devices utilized to synthesize both linear and nonlinear part of the vector field. Since the studied mathematical models consist of two quadratic polynomials maximal network design efficiency provided by multiplier transfer function must be achieved. Several implementations have been verified by using Orcad Pspice circuit simulator.

Circuit synthesis, analog oscillator, third-order system, modern active elements

Circuit synthesis, analog oscillator, third-order system, modern active elements

PETRŽELA, J.; HRUBOŠ, Z.; GÖTTHANS, T.

2013

17.04.2012

UREL FEKT VUT

Brno

978-80-214-4468-3

Proceedings of 22th International Conference Radioelektronika 2012

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