scholarly journals Generation of Robust Hyperbolic Chaos in CNN

2019 ◽  
Vol 15 (2) ◽  
pp. 109-124
Author(s):  
S.P. Kuznetsov ◽  
Keyword(s):  
Hyperbolic Chaos

scholarly journals Hyperbolic chaos in parametric oscillations of a string

2013 ◽  
pp. 3-10 ◽  
Author(s):  
O. B. Isaeva ◽  
◽  
A. S. Kuznetsov ◽  
S. P. Kuznetsov ◽  
◽  
...  
Keyword(s):  
Parametric Oscillations ◽  
Hyperbolic Chaos

Hyperbolic chaos generator based on coupled drift klystrons

2009 ◽  
Vol 35 (8) ◽  
pp. 773-776 ◽  
Author(s):  
V. V. Emel’yanov ◽  
S. P. Kuznetsov ◽  
N. M. Ryskin
Keyword(s):  
Chaos Generator ◽  
Hyperbolic Chaos

Hyperbolic chaos in the klystron-type microwave vacuum tube oscillator

2010 ◽  
Vol 20 (4) ◽  
pp. 043104 ◽  
Author(s):  
V. V. Emel’yanov ◽  
S. P. Kuznetsov ◽  
N. M. Ryskin
Keyword(s):  
Vacuum Tube ◽  
Hyperbolic Chaos

scholarly journals Hyperbolic Chaos of Turing Patterns

2012 ◽  
Vol 108 (19) ◽  
Author(s):  
Pavel V. Kuptsov ◽  
Sergey P. Kuznetsov ◽  
Arkady Pikovsky
Keyword(s):  
Turing Patterns ◽  
Hyperbolic Chaos

Robust Hyperbolic Chaos in Froude Pendulum with Delayed Feedback and Periodic Braking

2019 ◽  
Vol 29 (12) ◽  
pp. 1930035
Author(s):  
Sergey P. Kuznetsov ◽  
Yuliya V. Sedova
Keyword(s):  
Parameter Space ◽  
Invariant Subspaces ◽  
Constant Angular Velocity ◽  
Diagnostic Tools ◽  
Small Perturbations ◽  
Infinite Dimensional ◽  
Dimensional State Space ◽  
Froude Pendulum ◽  
Numerical Research ◽  
Hyperbolic Chaos

We indicate a possibility of implementing hyperbolic chaos using a Froude pendulum that is able to produce self-oscillations due to the suspension on a shaft rotating at constant angular velocity, in the presence of time-delay feedback and of periodic braking by the application of additional frictional force. We formulate a mathematical model and carry out its numerical research. In the parameter space we reveal areas of chaotic and regular dynamics using the analysis of Lyapunov exponents and some other diagnostic tools. It is shown that there are regions in the parameter space where the Poincaré stroboscopic map has an attractor, which is a kind of Smale–Williams solenoid embedded in the infinite-dimensional state space. We confirm the hyperbolicity of the attractor by numerical calculations including the analysis of angles of intersections of stable and unstable invariant subspaces of vectors of small perturbations for trajectories on the attractor and verify the absence of tangencies between these subspaces.

Hyperbolic Chaos in Systems Based on FitzHugh – Nagumo Model Neurons

2018 ◽  
Vol 23 (4) ◽  
pp. 458-470 ◽  
Author(s):  
Sergey P. Kuznetsov ◽  
Yuliya V. Sedova
Keyword(s):  
Hyperbolic Chaos
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