Related Experiment Video
Updated: May 14, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
Bifurcation analysis and chaos control in a Hassell-Varley model with the Ricker growth
Lijiao Jia1,2, Yunil Roh1, Il Hyo Jung1,3,4
1Department of Mathematics, Pusan National University, Busan, Republic of Korea.
Abstract:
The Ricker-type growth model, which incorporates a density-dependent mechanism, is widely used in ecological modelling to fit a broad range of complex population growth patterns. In this study, the complex dynamics of a modified Hassell-Varley model with Ricker growth were analysed. We first investigated the permanence of solutions, the existence and uniqueness of the positive steady state and the local stability of equilibrium points. We confirm that, under certain parametric conditions, the proposed system undergoes a flip or Neimark-Sacker bifurcation within the interior of . Two feedback control measures were employed to control bifurcation and chaos in the proposed system. Simultaneously, several examples are provided to support our theoretical results using numerical simulations, and are conducted to illustrate the intricate behaviours of the modified Hassell-Varley model.
Related Concept Videos
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
Current Growth And Decay In RL Circuits
Routh-Hurwitz Criterion I
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Node Analysis for AC Circuits
To unravel the complexities of this system, nodal analysis is employed, a powerful technique founded on Kirchhoff's current law (KCL), which remains valid for phasors. AC circuits can effectively be...

