Bifurcation structures and transient chaos in a four-dimensional Chua model |
| |
Authors: | Anderson Hoff Denilson T da Silva Cesar Manchein Holokx A Albuquerque |
| |
Institution: | Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil |
| |
Abstract: | A four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying numerical continuation and numerical solutions methods. Regarding numerical solution methods, its dynamics is characterized on Lyapunov and isoperiodic diagrams and regarding numerical continuation method, the bifurcation curves are obtained. Combining both methods the bifurcation structures of the model were obtained with the possibility to describe the shrimp-shaped domains and their endoskeletons. We study the effect of a parameter that controls the dimension of the system leading the model to present transient chaos with its corresponding basin of attraction being riddled. |
| |
Keywords: | Four-dimensional model Bifurcation curves Transient chaos Shrimps |
本文献已被 ScienceDirect 等数据库收录! |