Title
Simple Chaotic Flow With Circle And Square Equilibrium
Abstract
Simple systems of third-order autonomous nonlinear differential equations can exhibit chaotic behavior. In this paper, we present a new class of chaotic flow with a square-shaped equilibrium. This unique property has apparently not yet been described. Such a system belongs to a newly introduced category of chaotic systems with hidden attractors that are interesting and important in engineering applications. The mathematical model is accompanied by an electrical circuit implementation, demonstrating structural stability of the strange attractor. The circuit is simulated with PSpice, constructed, and analyzed (measured).
Year
DOI
Venue
2016
10.1142/S0218127416501376
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Chaos, circle equilibrium, square equilibrium, attractor, bifurcation
Attractor,Electrical network,Control theory,Flow (psychology),Chaotic hysteresis,Structural stability,Chaotic,Mathematics,Bifurcation,Synchronization of chaos
Journal
Volume
Issue
ISSN
26
8
0218-1274
Citations 
PageRank 
References 
9
0.51
5
Authors
3
Name
Order
Citations
PageRank
Gotthans, T.1144.47
Julien Clinton Sprott240142.72
Jiri Petrzela32311.58