Topic
Bifurcation diagram
About: Bifurcation diagram is a research topic. Over the lifetime, 8379 publications have been published within this topic receiving 139664 citations.
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TL;DR: In this paper, Fourier series analysis and the Floquet theory are used to perform qualitative global analysis on bifurcation and stability of a rub-impact Jeffcott rotor. But the analysis is limited to two-dimensional, non-linear and periodic systems.
224 citations
TL;DR: In this article, a four-dimensional hyperchaotic Lorenz system was obtained by adding a nonlinear controller to the Lorenz chaotic system, which is studied by bifurcation diagram, Lyapunov exponents spectrum and phase diagram.
Abstract: This paper presents a four-dimension hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponents spectrum and phase diagram. Numerical simulations show that the new system’s behavior can be convergent, divergent, periodic, chaotic and hyperchaotic when the parameter varies.
219 citations
TL;DR: In this article, a delay-differential equation was used to model a bidirectional associative memory (BAM) neural network with three neurons and its dynamics were studied in terms of local analysis and Hopf bifurcation analysis.
217 citations
TL;DR: This paper investigates bifurcations of invariant sets in a five-dimensional parameter space, and identifies an essential parameter of the half-activated potential of the potassium activation curve that contributes to the alternation of the membrane properties of the M-L neuron.
215 citations