Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 24, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127414500734
Keywords
Chaos; equilibrium; hidden attractor; Lyapunov exponent; bifurcation diagram; Poincare map
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This paper introduces a new no-equilibrium chaotic system that is constructed by adding a tiny perturbation to a simple chaotic flow having a line equilibrium. The dynamics of the proposed system are investigated through Lyapunov exponents, bifurcation diagram, Poincare map and period-doubling route to chaos. A circuit realization is also represented. Moreover, two other new chaotic systems without equilibria are also proposed by applying the presented methodology.
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