Metastable and chaotic transient rotating waves in a ring of unidirectionally coupled bistable Lorenz systems

2013 ◽  
Vol 261 ◽  
pp. 8-18 ◽  
Author(s):  
Yo Horikawa
Keyword(s):  
Rotating Waves ◽  
Chaotic Transient

Resonant excitation of rotating waves in annular zones

2020 ◽  
pp. 30-38
Author(s):  
E.D. Sviyazheninov
Keyword(s):  
Natural Frequency ◽  
Resonant Excitation ◽  
Acoustic Vibrations ◽  
Rotating Waves ◽  
Vibration Treatment ◽  
Working Medium ◽  
Annular Zone

A method and a device are developed for exciting powerful resonant acoustic rotating waves in a gaseous or liquid flowing working medium located in the annular zone between the rotor and stator, for its vibration treatment. Keywords: vibration treatment, vibrations, natural frequency, vibration form, waves, acoustic vibrations, resonance. [email protected]

A theoretical prediction of rotating waves in Type-I hydraulic jumps

2018 ◽  
Vol 382 (47) ◽  
pp. 3399-3404
Author(s):  
Arnab K. Ray ◽  
Niladri Sarkar ◽  
Abhik Basu ◽  
Jayanta K. Bhattacharjee
Keyword(s):  
Theoretical Prediction ◽  
Type I ◽  
Hydraulic Jumps ◽  
Rotating Waves

scholarly journals Nonlinear Standing and Rotating Waves on the Sphere

2000 ◽  
Vol 166 (2) ◽  
pp. 402-442 ◽  
Author(s):  
Christoph Gugg ◽  
Timothy J Healey ◽  
Hansjörg Kielhöfer ◽  
Stanislaus Maier-Paape
Keyword(s):  
Rotating Waves

PARTIAL CONTROL OF TRANSIENT CHAOS IN ELECTRONIC CIRCUITS

2012 ◽  
Vol 22 (02) ◽  
pp. 1250032 ◽  
Author(s):  
ALEXANDRE WAGEMAKERS ◽  
SAMUEL ZAMBRANO ◽  
MIGUEL A. F. SANJUÁN
Keyword(s):  
Analog Circuit ◽  
Control Method ◽  
Initial Conditions ◽  
Simple Extension ◽  
The Novel ◽  
Partial Control ◽  
Time Dynamics ◽  
The One ◽  
Chaotic Transient ◽  
Chaotic Saddle

We present an analog circuit implementation of the novel partial control method, that is able to sustain chaotic transient dynamics. The electronic circuit simulates the dynamics of the one-dimensional slope-three tent map, for which the trajectories diverge to infinity for nearly all the initial conditions after behaving chaotically for a while. This is due to the existence of a nonattractive chaotic set: a chaotic saddle. The partial control allows one to keep the trajectories close to the chaotic saddle, even if the control applied is smaller than the effect of the applied noise, introduced into the system. Furthermore, we also show here that similar results can be implemented on a circuit that simulates a horseshoe-like map, which is a simple extension of the previous one. This encouraging result validates the theory and opens new perspectives for the application of this technique to systems with higher dimensions and continuous time dynamics.

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