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• W2090966995 abstract "Stability analysis and control of two-timescale systems are of importance for understanding oscillation emergence mechanisms. In this work, we study theoretically frequency-input-timescale (called the f-z-μ) relation in the two-dimensional Hindmarsh-Rose (2DHR) oscillator. All bifurcations of saddle-node, Andronov-Hopf and saddle-node on invariant cycle are also computed with the respective parameter sets, giving the respective frequency gradient equation in terms of z and μ derived by approaches of their small perturbation on the oscillation. The core target in this analysis is to understand dynamical property of the f-μ cleft on the 2DHR undergoing the SNIC bifurcation, compared to oscillatory dynamics of the system exhibiting the other bifurcations." @default.
• W2090966995 created "2016-06-24" @default.
• W2090966995 creator A5015369150 @default.
• W2090966995 date "2012-11-01" @default.
• W2090966995 modified "2023-09-25" @default.
• W2090966995 title "Frequency-input-timescale relations in two-dimensional Hindmarsh-Rose model" @default.
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• W2090966995 doi "https://doi.org/10.1109/scis-isis.2012.6505138" @default.
• W2090966995 hasPublicationYear "2012" @default.
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