Generalized Pesin-Like Identity and Scaling Relations at the Chaos Threshold of the Rossler System
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, using the Poincare section of the flow we numerically verify a generalization of a Pesin-like identity at the chaos threshold of the Rossler system, which is one of the most popular three-dimensional continuous systems. As Poincare section points of the flow show similar behavior to that of the logistic map, for the Rossler system we also investigate the relationships with respect to important properties of nonlinear dynamics, such as correlation length, fractal dimension, and the Lyapunov exponent in the vicinity of the chaos threshold.
Açıklama
Anahtar Kelimeler
nonlinear dynamics, connections between chaos and statistical physics, dissipative systems
Kaynak
Entropy
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
20
Sayı
4
