A generalized two-component Camassa-Holm equation is introduced as a model for shallow water waves moving over a linear shear flow. Bifurcations of traveling wave solutions are studied. Phase portraits of the traveling wave system are given. By using the method of planar dynamica...
Open access
Research Article10.9734/JSRR/2014/10790
This paper concerns the application of adaptive control method in a four-dimensional hyperchaotic system. Firstly, we carry out a systematic dynamic analysis including the properties of equilibrium point, stability, dissipation, Lyapunov exponent spectrum, and bifurcation. Both t...
Open access
Research Article10.9734/arjom/2019/v13i130100
How to control chaos in the economic system has aroused the interest of researchers. We research the chaos control in a new Resource-Economic-Pollution system by time-delayed feedback control. By determining the appropriate range of time delay τ and feedback strength k, the chaot...
Open access
Research Article10.9734/jerr/2019/v7i416974
This paper discusses a new type of selective-constrained resource-economic-pollution (REP) system. Based on the nonlinear dynamics theory, the dynamic behavior of the new system is discussed. The genetic algorithm is used to identify the quantitative coefficients of the actual sy...
Open access
Research Article10.9734/jenrr/2019/v3i230092
Integrated Water Management System is studied from the dynamical system perspective. Risk factors, management factors and total water consumption of area are considered to be three interaction variable of the dynamical system. Chaotic dynamics characteristics of the system is stu...
Open access
Research Article10.9734/BJMCS/2015/19300