Stability and flip bifurcation of a three‐dimensional exponential system of difference equations
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DOI: 10.1002/mma.7031
Abstract: In this paper, we study the stability of the zero equilibrium and the occurrence of flip bifurcation of the following system of difference equations: xn+1=a1ynb1+yn+c1xnek1−d1xn1+ek1−d1xn, yn+1=a2znb2+zn+c2ynek2−d2yn1+ek2−d2yn, zn+1=a3xnb3+xn+c3znek3−d3zn1+ek3−d3zn, where ai, bi, ci, di, and ki, for… read more here.
Keywords: system; difference equations; system difference; stability ... See more keywords
Experimental Evidence of Amplitude Death and Phase-Flip Bifurcation between In-Phase and Anti-Phase Synchronization
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DOI: 10.1038/s41598-018-30026-3
Abstract: Nonlinear phenomena emerging from the coupled behaviour of a pair of oscillators have attracted considerable research attention over the years, of which, amplitude death (AD) and phase-flip bifurcation (PFB) are two noteworthy examples. Although theoretical… read more here.
Keywords: phase flip; phase; flip bifurcation; pfb ... See more keywords
Flip bifurcation and stability analysis of a fractional-order population dynamics with Allee effect
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DOI: 10.1080/09720502.2019.1698403
Abstract: Abstract In this paper, we established a fractional-order logistic model for a monoclonal brain tumor growth known as Glioblastoma (GB). We show at first that the model possesses non-negative solutions. Furthermore, we studied the stability,… read more here.
Keywords: flip bifurcation; fractional order; model; stability ... See more keywords