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