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Determining Consecutive Periods of the Lorenz Maps
Advances in Difference Equations volume 2010, Article number: 985982 (2010)
Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance based on symbolic dynamics is proposed to find all periodic orbits up to a certain number with little computer time. Examples for consecutive periods of orbits are raised for the Lorenz maps. With a little variation, the theorems and algorithm can be applied to some other dynamic systems.
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Wang, F. Determining Consecutive Periods of the Lorenz Maps. Adv Differ Equ 2010, 985982 (2010). https://doi.org/10.1155/2010/985982
- Differential Equation
- Dynamic System
- Partial Differential Equation
- Computer Time
- Ordinary Differential Equation