×

On dynamics analysis of a new chaotic attractor. (English) Zbl 1223.37045

Summary: In this letter, a new chaotic system is discussed. Some basic dynamical properties, such as Lyapunov exponents, Poincaré mapping, fractal dimension, bifurcation diagram, continuous spectrum and chaotic dynamical behaviors of the new chaotic system are studied, either numerically or analytically. The obtained results show clearly that the system discussed in this Letter is a new chaotic system and deserves a further detailed investigation.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37G35 Dynamical aspects of attractors and their bifurcations
28A80 Fractals
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Sparrow, C., The Lorenz equations: bifurcation, chaos, and strange attractors, (1982), Springer New York · Zbl 0504.58001
[2] Li, D., Phys. lett. A, 37, 2387, (2008)
[3] Lü, J.; Chen, G.; Zhang, S., Int. J. bifur. chaos, 12, 1001, (2002)
[4] Lü, J.; Chen, G., Int. J. bifur. chaos, 12, 659, (2002)
[5] Ueta, T.; Chen, G., Int. J. bifur. chaos, 10, 1917, (2000)
[6] Vanecek, A.; Celikovsky, S., Control systems: from linear analysis to synthesis of chaos, (1996), Prentice-Hall London · Zbl 0874.93006
[7] Lü, J.; Chen, G., Dynamics of the Lorenz system family: analysis, control and synchronization, (2003), Scientific Press Beijing, (in Chinese)
[8] Liu, C.X.; Liu, T.; Liu, L.; Liu, K., Chaos solitons fractals, 22, 1031, (2004)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.