Journal
NONLINEAR DYNAMICS
Volume 62, Issue 1-2, Pages 391-405Publisher
SPRINGER
DOI: 10.1007/s11071-010-9726-2
Keywords
New autonomous chaotic system; Different wing chaotic attractor; Poincare mapping; Bifurcation; Lyapunov exponent; Transient chaos
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This letter proposes a new 3D quadratic autonomous chaotic system which displays an extremely complicated dynamical behavior over a large range of parameters. The new chaotic system has five real equilibrium points. Interestingly, this system can generate one-wing, two-wing, three-wing and four-wing chaotic attractors and periodic motion with variation of only one parameter. Besides, this new system can generate two coexisting one-wing and two coexisting two-wing attractors with different initial conditions. Furthermore, the transient chaos phenomenon happens in the system. Some basic dynamical behaviors of the proposed chaotic system are studied. Furthermore, the bifurcation diagram, Lyapunov exponents and Poincar, mapping are investigated. Numerical simulations are carried out in order to demonstrate the obtained analytical results. The interesting findings clearly show that this is a special strange new chaotic system, which deserves further detailed investigation.
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