In the literature (2014), I see some recent papers involving "super chaotic systems". I am not able to find any definition for this class of chaotic systems. Any pointer to this class of chaotic systems will be highly appreciated. Thanks.
it depends what type of systems you are dealing with... In complexity world..chaotic systems are integrated systems that have high level of uncertainty and emergence. This means that you will never find an optimal solution in chaotic systems. In these systems there are always good enough solutions.
if the system have at least two positive Lyapunov exponents, wo call it super chaotic system
Baobao Pan - That is the definition of 'hyperchaotic system'! The paper I saw refers to some 3-D chaotic system as 'super-chaotic system'. The minimal dimension for an autonomous hyperchaotic system is 4.
Best wishes
Sundar
see http://eng.ikar.udm.ru/sb/sb22e.htm
3. Resonance in non-linear systems.
3.1. Simple computational method for non-linear dynamic systems.
3.2. About a pendulum of Kapica outside and inside zone of a parametric resonance.
3.3. Dynamic stability of saddle points in autonomous systems.
3.4. About stability of unstable states, bifurcation, chaos of non-linear dynamic systems.
3.5. Discretization, chaos and evolution in non-linear dynamic systems.
If all the Lyapunov exponents are positive then the volume of the phase space is expanding. In other words the energy of the system is increasing!!!!!! Is this Physically relevant !!!
The phrase "About stability of unstable states" is genius.
I see that this term "super chaotic " gives nothing new
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