Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 17, Issue 12, Pages 4285-4294Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127407019950
Keywords
chaos; hyperchaos; Lorenz system
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In this paper, we investigate the dynamics of the Lorenz system, linearly extended into one additional dimension. The system is hyperchaotic in a wide range of parameters. A theoretical and numerical study indicates that chaos and hyperchaos are produced with the help of a van der Pol-like oscillatory motion around a hypersaddle stationary point at the origin. Numerical experiments are presented, showing Lyapunov exponents, bifurcation diagrams and Poincar'e sections.
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