Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 26, Issue 8, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127416501376
Keywords
Chaos; circle equilibrium; square equilibrium; attractor; bifurcation
Funding
- Czech Ministry of Education [LO1401, GA15-22712S]
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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).
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