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Subexponential instability in one-dimensional maps implies infinite invariant measure
Authors:Akimoto Takuma  Aizawa Yoji
Institution: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
Abstract: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.
Keywords:
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