Dynamics and Chaotic Behavior of Generalized(2+1)-Dimensional Hirota-Maccari System
The dynamics and chaotic behavior of generalized(2+1)-dimensional Hirota-Maccari system are studied by the qualitative theory of differential equations and the bifurcation method of dynamical systems,the bifurcations of phase portraits of the corresponding traveling wave system are obtained,and the exact expres-sions of the periodic wave solutions and solitary wave solutions of the system are obtained.Numerical simula-tion is carried out to study the wave forms and properties of traveling wave solutions under different parameter conditions.After adding periodic perturbation term to the system,2D phase portrait,3D phase portrait and Poincare section of the perturbed system are obtained by Matlab software under the special parameter condi-tions.The results show that the motion of the system is quasi-periodic under specific parameter conditions.
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