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- Title
Bifurcation and chaos analysis for a discrete ecological developmental systems.
- Authors
Jiang, Xiao-Wei; Chen, Chaoyang; Zhang, Xian-He; Chi, Ming; Yan, Huaicheng
- 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.
- Subjects
ECOSYSTEMS; BIFURCATION diagrams; DISCRETE systems; EULER method; LYAPUNOV exponents; DISCRETIZATION methods; CHAOS synchronization
- Publication
Nonlinear Dynamics, 2021, Vol 104, Issue 4, p4671
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-021-06474-4