Non-transitive maps in phase synchronization
M. S. Baptista, T. Pereira, I. L. Caldas, J. C. Sartorelli
Abstract
Concepts from the Ergodic Theory are used to describe the existence of non-transitive maps in attractors of phase synchronous chaotic systems. It is shown that for a class of phase-coherent systems, e.g. the sinusoidally forced Chua's circuit and two coupled Rössler oscillators, phase synchronization implies that such maps exist. These ideas are also extended to other coupled chaotic systems. In addition, a phase for a chaotic attractor is defined from the tangent vector of the flow. Finally, it is discussed how these maps can be used to real time detection of phase synchronization in experimental systems.
Create a lesson
Related papers
Automated Sailboat Navigation using Controllabilty-Aware Nonlinear Model Predicitive Control under Stochastic Winds
Junzhuo Wu, Ya-Jun J Pan, Chao Shen et al.
Parametric excitation of rotational soft modes of the buckled discrete elastic ring
Panagiotis Koutsogiannakis, Massimo Ruzzene
Similarities between the speed limit in relativity and the sound barrier in inviscid fluid flows
F Salmon
Generalized reverberation theory in diffuse sound fields: Introducing mean residual free path for macroscopic and microscopic unification
Toshiki Hanyu
The Myth of Hamel's Paradox
Robert Singer
3D modelling of strain concentration due to PCI within the fuel code ALCYONE
J. Sercombe, Jérôme Julien, Frederic Michel et al.