| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1897132 | Physica D: Nonlinear Phenomena | 2011 | 5 Pages |
Abstract
The existence of a homoclinic butterfly to a saddle with zero saddle value is established analytically for the Shimizu-Morioka model.
► We study the existence of the Lorenz attractor in the Shimizu-Morioka model. ► We prove analytically the system has a homoclinic orbit. ► We use a refined method of comparison systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
G. Tigan, D. Turaev,