Abstract
In this paper, we construct the chaotic systems having Silnikov's homoclinic orbits by singular perturbations. Applying Rössler's dual principle, fast subsystems and slow subsystems are formed in the chaotic systems. Silnikov's homoclinic theory guarantees that the systems show the Silnikov phenomenon. In addition, we have extended the model. Finally, numerical simulation results are also given to demonstrate validity of the theoretical analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 140-143 |
| Number of pages | 4 |
| Journal | Beijing Huagong Daxue Xuebao (Ziran Kexueban)/Journal of Beijing University of Chemical Technology (Natural Science Edition) |
| Volume | 38 |
| Issue number | 1 |
| Publication status | Published - Jan 2011 |
| Externally published | Yes |
Keywords
- Chaos
- Homoclinic orbit
- Smale horseshoes
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Wei, F., Li, W., & Chen, M. (2011). Construction of a dynamic system having Silnikov's saddle-focus homoclinic orbit. Beijing Huagong Daxue Xuebao (Ziran Kexueban)/Journal of Beijing University of Chemical Technology (Natural Science Edition), 38(1), 140-143.