Hidden Attractors on One Path: Glukhovsky–Dolzhansky, Lorenz, and Rabinovich Systems-Reference-Cited by-同舟云学术

Hidden Attractors on One Path: Glukhovsky–Dolzhansky, Lorenz, and Rabinovich Systems

Published:2017-07 Issue:08 Volume:27 Page:1750115
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Chen G.¹,Kuznetsov N. V.²³,Leonov G. A.²⁴,Mokaev T. N.²

Affiliation:

1. City University of Hong Kong, Hong Kong SAR, P. R. China

2. Faculty of Mathematics and Mechanics, St. Petersburg State University, Peterhof, St. Petersburg, Russia

3. Department of Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

4. Institute of Problems of Mechanical, Engineering RAS, Russia

Abstract

In this report, by the numerical continuation method, we visualize and connect hidden chaotic sets in the Glukhovsky–Dolzhansky, Lorenz and Rabinovich systems using a certain path in the parameter space of a Lorenz-like system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417501152

Reference46 articles.

1. Analytical-numerical methods of finding hidden oscillations in multidimensional dynamical systems

2. The Routh–Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system

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