ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kuznetsov S. P. Electronic circuits manifesting hyperbolic chaos and simulation of their dynamics using software package multisim. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 5, pp. 98-115. DOI: 10.18500/0869-6632-2011-19-5-98-115

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Language: 
Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Review
UDC: 
517.9:537.86:621.373
DOI: 
10.18500/0869-6632-2011-19-5-98-115

Electronic circuits manifesting hyperbolic chaos and simulation of their dynamics using software package multisim

Autors: 
Kuznetsov Sergey Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

We consider several electronic circuits, which are represented dynamical systems with hyperbolic chaotic attractors, such as Smale–Williams and Plykin attractors, and present results of their simulation using the software package NI Multisim 10. The approach developed is useful as an intermediate step of constructing real electronic devices with structurally stable hyperbolic chaos, which may be applicable in systems of secure communication, noise radar, for cryptographic systems, for random number generators. The developed approach is also of methodological interest for training students specializing in radiophysics and nonlinear dynamics in the design and analysis of systems with complex dynamics on a base of examples close to practical applications.

Key words: 
chaos
Attractor
Smale–Williams solenoid
non-autonomous system
operational amplifier
Simulation
Multisim
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Received: 
11.07.2011
Accepted: 
04.10.2011
Published: 
30.12.2011
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