On state space energy controlled systems with quantum chaotic-like behavior
Josef Hrušák, Milan Štork, Daniel Mayer · International Conference on Circuits · 2011
The presented contribution is motivated by some fundamental issues arising in nonlinear nanostructures such as Chua's memristance effect, the Hall-effect or the famous Josephson effect. Some general features of standard approaches, such as classical mechanics, deterministic chaos theory and that of quantum dynamics have been investigated and compared from a unifying state space energy based point of view. A new possibly nonlinear strictly causal model structure has been derived and analyzed. Some theoretical consequences concerning stability analysis and synthesis of state space energy controlled quantum-chaotic behavior are discussed, too. Theoretical results are illustrated and verified by computer simulations.