Περίληψη:
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.
Συγγραφείς:
Volos, Christos K.
Moysis, Lazaros
Roumelas, George D. and
Giakoumis, Aggelos
Nistazakis, Hector E.
Tombras, George S.
