Abstract:
In the Multifractal Theory of Motion, in the form of Schrödinger – type “regimes”, non – linear behaviors of a complex system are analysed. Then, in the non - stationary case, symmetries of SL(2R)-type for structural units of any complex system can be highlighted. These become functional, for example in the form of period doubling "synchronization mode". This “mode” can mime a possible scenario toward chaos (period doubling scenario), without concluding in chaos (non – manifest chaos).