Stability analysis and mapping of multiple dynamics of Chua’s circuit in full four-parameter SpacesV.
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2015
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Resumo
The stability analysis is used in order to identify and to map different dynamics of Chua’s
circuit in full four-parameter spaces. The study is performed using describing functions that
allow to identify fixed point, periodic orbit, and unstable states with relative accuracy, as well
as to predict route to chaos and hidden dynamics that conventional computational methods do
not detect. Numerical investigations based on the computation of eigenvalues and Lyapunov
exponents partially support the predictions obtained from the theoretical analysis since they do
not capture the multiple dynamics that can coexist in the operation of Chua’s circuit. Attractors
obtained from initial conditions outside of neighborhoods of the equilibrium points confirm
the multiplicity of dynamics in the operation of Chua’s circuit and corroborate the theoretical
analysis.
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Chaotic system, Chua’s circuit, Stability analysis
Citação
ROCHA, R.; TORRICOS, R. O. M. Stability analysis and mapping of multiple dynamics of Chua’s circuit in full four-parameter SpacesV. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 25, p. 1-167, 2015. Disponível em: <http://www.worldscientific.com/doi/pdf/10.1142/S0218127415300372>. Acesso em: 29 set. 2017.