A remarkable feature of chaos in many-body quantum systems is the existence a bound on Lyapunov exponent. An important question to understand what special about maximally chaotic which saturate this bound. Here we provide further evidence for `hydrodynamic' origin such systems, and discuss hallmarks systems. We first that hydrodynamic effective field theory previously proposed should be underst...

In this paper, we obtain non-existence conditions for horseshoetype chaos in 3-D quadratic continuous-time systems. This kind of chaos in polynomial ODE systems is characterized by the non-existence of homoclinic and heteroclinic orbits.

From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike that chaos has a new implication for unpredictability, meaning that chaotic systems are unpredictable in a way that other deterministic systems are not. Hence one might expect that the question ‘What are ...

Secure communication systems employing chaos have recently attracted significant interest. This is partly due to their high unpredictability and simplicity of implementation over conventional secure communications systems. This study presents the implementation of four chaotic modulation techniques employing Lorenz system as chaos generator. The techniques are Chaotic Masking (CM), Chaos Shift ...