I wish to know whether it is ok to have a comparably large positive Lyapunov exponents for a hyperchaotic system. I am working on a system which gives me LEs in the order like this : 19.4456, 1.45002, 0.0000, -28.4581, when simulated with the Wolf et al's algorithm. Is such a figure feasible for a 4D continuous-time hyperchaotic system? Thanks
Serdar Çiçek
We can say the system is hyper-chaotic system because the LEs are +, +, 0, -.
There is no requirement related to the large Lyapunov exponent.
System is meant to be much more sensitive to initial conditions for higher Lyapunov exponent.
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Volodymyr M. Sydorets
For my system module of negative Lyapunov exponent much more positive one,
e.g. for C=3.385 lambda1=0.037709 lambda2=0 lambda3=-28.401004 (see figure).
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