×

Is sensitive dependence on initial conditions nature’s sensory device? (English) Zbl 0876.58034

Summary: We illustrate three methods of using nonlinear devices as sensors. We show that the sensory features of these devices are a result of sensitive dependence on parameters which we show is equivalent to sensitive dependence on initial conditions. As a result, we conjecture that sensitive dependence on initial conditions is nature’s sensory device in cases where remarkable feats of sensory perception are seen.

MSC:

37G99 Local and nonlocal bifurcation theory for dynamical systems
93C95 Application models in control theory
93C15 Control/observation systems governed by ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI