Hidden attractors on one path : Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems

6533b7d2fe1ef96bd125f54f

RESEARCH PRODUCT

Hidden attractors on one path : Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems

Nikolay Kuznetsov Nikolay Kuznetsov Timur N. Mokaev Gennady A. Leonov Guanrong Chen

subject

Computer science chaos Chaotic FOS: Physical sciences Physics::Data Analysis; Statistics and Probability Parameter space 01 natural sciences 010305 fluids & plasmas Rabinovich system Lorenz system 0103 physical sciences Attractor Glukhovsky–Dolzhansky system Applied mathematics 010301 acoustics Engineering (miscellaneous)kaaosteoria Applied Mathematics ta111 Lorenz-like system Nonlinear Sciences - Chaotic Dynamics Nonlinear Sciences::Chaotic Dynamics Numerical continuation Modeling and Simulation Path (graph theory)numeerinen analyysi Chaotic Dynamics (nlin.CD)hidden attractor

description

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.

year	journal	country	edition	language
2017-05-17	International Journal of Bifurcation and Chaos

10.1142/s0218127417501152 http://juuli.fi/Record/0285096717

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