Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations.
In this paper we estimate dynamical characteristics of chaotic attractors from sequences of threshold-crossing interspike intervals, and study how the choice of the threshold level (which sets the equation of a secant plane) influences the results of the numerical computations. Under quite general conditions we show that the largest Lyapunov exponent can be estimated from a series of return times to the secant plane, even in the case when some of the loops of the phase space trajectory fail to cross this plane.
Pavlov
A N
AN
Department of Physics, Saratov State University, Russia.
Sosnovtseva
O V
OV
Mosekilde
E
E
Anishchenko
V S
VS
D000465:Algorithms; D008954:Models, Biological; D008962:Models, Theoretical; D017711:Nonlinear Dynamics