Abstract
A phase transition associated with dynamical properties of a type-I intermittency is analytically studied on the basis of the statistical-mechanical formalism previously proposed. At the saddle-node bifurcation point the continuous phase transition is found to occur at ${\mathit{q}}_{\mathit{c}}$ less than unity, due to the coexistence of different types of strange attractors with different measures. For nonvanishing shift parameter, crossover phenomena are discussed to obtain scaling exponents for the generalized entropies and the singularity spectrum. The exponents including a logarithmic correction are shown to depend on ${\mathit{q}}_{\mathit{c}}$, which means an absence of universality, in contrast to the usual critical phenomena.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
