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- José María Amigó, Janusz Szczepanski, Elek Wajnryb, Maria V. Sanchez-Vives
- Neural Computation
- 2004

Normalized Lempel-Ziv complexity, which measures the generation rate of new patterns along a digital sequence, is closely related to such important source properties as entropy and compression ratio,… (More)

Permutation entropy quantifies the diversity of possible orderings of the values a random or deterministic system can take, as Shannon entropy quantifies the diversity of values. We show that the… (More)

- Ljupco Kocarev, Janusz Szczepanski, José María Amigó, Igor Tomovski
- IEEE Transactions on Circuits and Systems I…
- 2006

We propose a definition of the discrete Lyapunov exponent for an arbitrary permutation of a finite lattice. For discrete-time dynamical systems, it measures the local (between neighboring points)… (More)

In this Letter we address some basic questions about chaotic cryptography, not least the very definition of chaos in discrete systems. We propose a conceptual framework and illustrate it with… (More)

Chaotic maps can mimic random behavior in a quite impressive way. In particular, those possessing a generating partition can produce any symbolic sequence by properly choosing the initial state. We… (More)

- Janusz Szczepanski, Elek Wajnryb, José María Amigó, Maria V. Sanchez-Vives, Mel Slater
- Computers & Security
- 2004

Up to now biometric methods have been used in cryptography for authentication purposes. In this paper we propose to use biological data for generating sequences of random bits. We point out that this… (More)

- M Galarza, Ángel Giménez, Olga Porcar Pellicer, José Valero, José María Amigó
- Acta Neurochirurgica
- 2015

To drain the excess of cerebrospinal fluid in a hydrocephalus patient, a catheter is inserted into one of the brain ventricles and then connected to a valve. This so-called ventricular catheter is a… (More)

- José María Amigó, Sergi Elizalde, Matthew B. Kennel
- J. Comb. Theory, Ser. A
- 2008

The scope of this paper is two-fold. First, to present to the researchers in combinatorics an interesting implementation of permutations avoiding generalized patterns in the framework of… (More)

- José María Amigó, Matthew B. Kennel
- Chaos
- 2006

Lempel and Ziv's 1976 algorithm provides an easy-to-compute way to automatically estimate the entropy rate for symbolic time series, requiring no free parameters. Here we derive an analytical… (More)

- Gonzalo Álvarez, José María Amigó, David Arroyo, Shujun Li
- Chaos-Based Cryptography
- 2011

The idea of using chaotic transformations in cryptography is explicit in the foundational papers of Shannon on secrecy systems (e.g., [96]). Although the word “chaos” was not minted till the 1970s… (More)