Two-segment bistability and basin structure in three-segment PWL circuits

Spany, V.; Pivka, Ladislav

doi:10.1049/ip-g-2.1993.0009

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2009

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“…It is remarkable that in the region between PD, FCLC and HC bifurcation curves, chaotic attractors can be detected, with the particularity that stable nontrivial equilibria coexist with them. These attractors have eigenvalue patterns of type I class 8 according to the classification presented in [Chua & Lin, 1990] and they were reported for the first time in [Spany & Pivka, 1993].…”

Section: Introductionmentioning

confidence: 95%

Following a Saddle-Node of Periodic Orbits' Bifurcation Curve in Chua's Circuit

Freire

Ponce

Ros

2009

Int. J. Bifurcation Chaos

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Starting from previous analytical results assuring the existence of a saddle-node bifurcation curve of periodic orbits for continuous piecewise linear systems, numerical continuation is done to get some primary bifurcation curves for the piecewise linear Chua's oscillator in certain dimensionless parameter plane. The primary period doubling, homoclinic and saddle-node of periodic orbits' bifurcation curves are computed. A Belyakov point is detected in organizing the connection of these curves. In the parametric region between period-doubling, focus-centerlimit cycle and homoclinic bifurcation curves, chaotic attractors coexist with stable nontrivial equilibria. The primary saddle-node bifurcation curve plays a leading role in this coexistence phenomenon.

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Section: Introductionmentioning

confidence: 95%