Abstract
We show the existence of strange nonchaotic repellers—that is, systems with transient dynamics whose nonattracting invariant set is fractal, but whose maximum Lyapunov coefficient is zero. We introduce the concept using a simple one-dimensional map and argue that strange nonchaotic repellers are a general phenomenon, occurring in bifurcation points of transient chaotic systems. All strange nonchaotic systems studied to date have been attractors; here, it is revealed that strange nonchaotic sets are also present in transient systems.
| Original language | English |
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| Article number | 036218 |
| Number of pages | 4 |
| Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
| Volume | 76 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 28 Sep 2007 |