Laminar chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of laminar chaos.

摘要: Recently, it was shown that certain systems with large time-varying delay exhibit different types of chaos, which are related to two delay: conservative and dissipative delays. The known high-dimensional turbulent chaos is characterized by strong fluctuations. In contrast, the recently discovered low-dimensional laminar nearly constant phases periodic durations a chaotic variation intensity from phase phase. this paper we extend our results preceding publication [Hart, Roy, Muller-Bender, Otto, Radons, Phys. Rev. Lett. 123, 154101 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.154101], where demonstrated robust phenomenon, can be observed in experimental systems. We provide time series analysis toolbox for detection features chaos. benchmark model system described nonlinear Langevin equation delay. done noise strengths both system, detected, even if hard distinguish visual trajectory.