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Can I read An Analysis of Chaos via Contact Transformation on EtoBox?
An Analysis of Chaos via Contact Transformation by Sadataka Furui is a Physics and Astronomy article available to read on EtoBox.
What is An Analysis of Chaos via Contact Transformation about?
Transition from chaotic to quasi-periodic phase in modified Lorenz model is analyzed by performing the contact transformation such that the trajectory in R 3 is projected on R 2 . The relative torsion number and the characteristics of the template are measured using the eigenvector of the Jacobian instead of vectors on moving frame along the closed trajectory. Application to the circulation of a fluid in a convection loop and oscillation of the electric field in single-mode laser system are performed. The time series of the eigenvalues of the Jacobian and the scatter plot of the trajectory in the transformed coordinate plane X -Z in the former and jX j-jZj in the latter, allow to visualize characteristic pattern change at the transition from quasi-periodic to chaotic. In the case of single mode laser, we observe the correlation between the critical movement of the eigenvalues of the Jacobian in the complex plane and intermittency.
Who reads An Analysis of Chaos via Contact Transformation?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Sadataka Furui
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)
- Published
- 2004
- Field
- Physics and Astronomy (Physical Sciences)