Related Experiment Video
Updated: Jan 6, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
Final-state sensitivity characterized by phase transition in singularity spectra of intermingled basins
Hiromi G Ishikawa1, Takehiko Horita1
1Department of Mathematical Sciences, Osaka Prefecture University, 1-1 Gakuencho, Sakai 599-8531, Japan.
Abstract:
Final-state sensitivity in a system with intermingled basins is investigated. Under a scaling assumption a dimension of the basins, referred to as the conditional external dimension, is introduced by which the uncertainty exponent is expressed. For an analytically tractable model, which is not a skew product type system, a multifractal analysis on the basin structure is performed. It is shown that the scaling assumption is valid and the conditional external dimension as the left end-point value of the singularity spectrum is determined by the transient motions converging to neither of the chaotic attractors. It is also shown that such transient motions bring about a phase transition in the singularity spectrum.
More Related Videos
11:38Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
Published on: April 19, 2018
07:51Dielectric RheoSANS — Simultaneous Interrogation of Impedance, Rheology and Small Angle Neutron Scattering of Complex Fluids
Published on: April 10, 2017
Related Concept Videos
Phase Transitions
Speciation Rates
Stability
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
State Space Representation
Consider an RLC circuit, a...
Phase Transitions: Sublimation and Deposition