Subexponential instability in one-dimensional maps implies infinite invariant measure.
We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability.
Akimoto
Takuma
T
Department of Applied Physics, Advanced School of Science and Engineering, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan. akimoto@z8.keio.jp
Aizawa
Yoji
Y