Related Experiment Video
Updated: Nov 7, 2025

Functional Analysis of the Larval Feeding Circuit in Drosophila
Published on: November 19, 2013
Bifurcation and chaos analysis for a discrete ecological developmental systems
Xiao-Wei Jiang1,2, Chaoyang Chen3, Xian-He Zhang4
1School of Automation, China University of Geosciences, Wuhan, 430074 People's Republic of China.
Abstract:
This work concentrates on the dynamic analysis including bifurcation and chaos of a discrete ecological developmental systems. Specifically, it is a prey-predator-scavenger (PPS) system, which is derived by Euler discretization method. By choosing the step size h as a bifurcation parameter, we determine the set consists of all system's parameters, in which the system can undergo flip bifurcation (FB) and Neimark-Sacker bifurcation (NSB). The theoretical results are verified by some numerical simulations. It is shown that the discrete systems exhibit more interesting behaviors, including the chaotic sets, quasi-periodic orbits, and the cascade of period-doubling bifurcation in orbits of periods 2, 4, 8, 16. Finally, corresponding to the two bifurcation behaviors discussed, the maximum Lyapunov exponent is numerically calculated, which further verifies the rich dynamic characteristics of the discrete system.
More Related Videos
10:44Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
Published on: December 7, 2021
04:52Following the Dynamics of Structural Variants in Experimentally Evolved Populations
Published on: February 3, 2023
Related Concept Videos
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....
Ecological Disturbance
Classification of Systems-II
Mechanistic Models: Compartment Models in Individual and Population Analysis
Limits with Oscillating Discontinuities
Cyclic Processes And Isolated Systems
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...