TY - JOUR
TI - Circuit Implementation of a Modified Chaotic System with Hyperbolic Sine
Nonlinearities Using Bi-Color LED
AU - Volos, Christos K.
AU - Moysis, Lazaros
AU - Roumelas, George D. and
AU - Giakoumis, Aggelos
AU - Nistazakis, Hector E.
AU - Tombras, George S.
JO - Dissolution Technologies
PY - 2021
VL - 9
TODO - 1
SP - null
PB - MDPI
SN - null
TODO - 10.3390/technologies9010015
TODO - Bi-color LED; nonlinear circuit; chaos; antimonotonicity; coexisting
attractors
TODO - In this paper, a chaotic three dimansional dynamical system is proposed,
that is a modification of the system in Volos et al. (2017). The new
system has two hyperbolic sine nonlinear terms, as opposed to the
original system that only included one, in order to optimize system's
chaotic behavior, which is confirmed by the calculation of the maximal
Lyapunov exponents and Kaplan-Yorke dimension. The system is
experimentally realized, using Bi-color LEDs to emulate the hyperbolic
sine functions. An extended dynamical analysis is then performed, by
computing numerically the system's bifurcation and continuation
diagrams, Lyapunov exponents and phase portraits, and comparing the
numerical simulations with the circuit simulations. A series of
interesting phenomena are unmasked, like period doubling route to chaos,
coexisting attractors and antimonotonicity, which are all verified from
the circuit realization of the system. Hence, the circuit setup
accurately emulates the chaotic dynamics of the proposed system.
ER -