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- P.-M. Binder
- Complex Systems
- 1993

We construct a phase diagram for the possible dynamics of one-dimensional, two-state, three-neighbor cellular automaton rules, using a new parameter (in conjunction with the previously known activity parameter). The new parameter 'estimates the average sensitivity of rule outcome to small changes in neighborhood configuration.

- P M Binder, J A Plazas
- Physical review. E, Statistical, nonlinear, and…
- 2001

We calculate block information versus size profiles for two-symbol strings generated by several dynamical processes: random, periodic, regular language, and substitutive. The profiles provide a good diagnostic of the complexity of the strings.

- N Perry, P M Binder
- Physical review. E, Statistical physics, plasmas…
- 1999

We propose a measure of complexity for symbolic sequences, which is based on conditional probabilities, and captures computational aspects of complexity without the explicit construction of minimal deterministic finite automata (DFA). Moreover, if the sequence is obtained from a dynamical system through a suitable encoding and its equations of motion are… (More)

- P M Binder, Jensen
- 2008

0018-9251/07/$25.00 c ° 2007 IEEE CFAR Constant false alarm rate CM Covariance matrix CPI Coherent processing interval CSM Cross-spectral metric DBU Derivative-based updating DFT Discrete Fourier transform DOF Degrees of freedom DPCA Displaced phase center antenna DT-SAP Doppler transform-space adaptive processing DTFT Discrete-time Fourier transform DW… (More)

- M C Cuéllar, P M Binder
- Physical review. E, Statistical, nonlinear, and…
- 2001

We show that applying a noise-reduction algorithm to a discretized time series increases its average error, compared to the original series. We find that adding external noise comparable to the discretization step before noise reduction limits the increase of the average error and improves the estimation of Lyapunov exponents.

- P.-M. Binder, D. Ko, A. Owczarek, C. Twining
- 2016

We study a probabilistic one-dimensional majority-rule two-state cellular automaton and examine the stability of ordered magnetised states in systems of size L as the neighbourhood radius R varies. We find that a scaling R -J In L is suJficient for an ordered phase to be metastable, I-e-, to survive for times much longer than the typical critical… (More)

- P.-M. Binder
- Complexity
- 1996

- M. D. Reed, S. L. Harms, +48 authors R. Szabo
- 2011

KPD 1930+2752 is a short-period pulsating subdwarf B (sdB) star. It is also an ellipsoidal variable with a known binary period of 2.3 h. The companion is most likely a white dwarf and the total mass of the system is close to the Chandresekhar limit. In this paper, we report the results of Whole Earth Telescope (WET) photometric observations during 2003 and… (More)

- P.-M. Binder, R. M. Pipes
- Nature
- 2014

The chaos revolution is now more than 50 years old. Long anticipated by mathematicians, beginning with Henri Poincaré in the 1880s, the field finally emerged on the science stage in the early 1960s following the identification of chaotic behaviour in computer simulations of atmospheric and astronomical systems. Since then, many experimental observations of… (More)

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