In this article, we present the Multiple Equilibria Regulation (MER) Model in cellular automata topology. As argued in previous explorations of the model, for certain parameter values, the behavior of the system exhibits transient chaos (namely, the system is unpredictable but ends in a final steady state). In order to approach empirical reality, we introduce a cellular automata topology. Exami...

Three aspects of complexity are fractals, chaos, and self-organized criticality. There are many examples of the applicability of fractals in solid-earth geophysics, such as earthquakes and landforms. Chaos is widely accepted as being applicable to a variety of geophysical phenomena, for instance, tectonics and mantle convection. Several simple cellular-automata models have been said to exhibit ...

The article considers chaos theory as a scientific concept that was developed to explain nonlinear dynamics in objects of complex nature and solve applied problems engineering, meteorology, economics, construction, etc. Application sociology provides for good outcomes big social systems. In the context management, it opens discourse models overcome “the curse complexity”. It explains transforma...

Chaos is ubiquitous in our everyday life and even a simple system may manifest chaotic behaviors. Chaos has been a challenge to the methodology of qualitative reasoning as well as classic science and engineering, due to unpredictability and complexity of behavior. In this paper, I claim that associating continuous domain with symbolic representation, a basic principle of qualitative reasoning, ...

To test whether electromyogram (EMG) is nonlinear deterministic signal or just random noise, we comprehensively analyze four EMGs of an adult woman. At first, we calculate the correlation time, L-Z complexity, approximate entropy (ApEn), maximum Lyapunov exponent (Ly1) and correlation dimension (Dcorr) of each EMG data and its ten surrogate data. We find that all the results are quite different...

Transportation system has time-varying, coupling and nonlinear dynamic characteristics. Traffic flow forecast is one of the key technologies of traffic guidance. It is very difficult to accurately forecast them effectively. This paper has analyzed the complexity and the evaluation index of urban transportation network and has proposed the forecasting model of the hybrid algorithm based on chaos...

The chaotic nature of a storage-ring Free Electron Laser (FEL) is investigated. The derivation of a low embedding dimension for the dynamics allows the low-dimensionality of this complex system to be observed, whereas its unpredictability is demonstrated, in some ranges of parameters, by a positive Lyapounov exponent. The route to chaos is then explored by tuning a single control parameter, and...

The concepts of randomness, unpredictability, complexity and entropy form the basis of modern cryptography and a cryptosystem can be interpreted as the design of a key-dependent bijective transformation that is unpredictable to an observer for a given computational resource. For any cryptosystem, including a Pseudo-Random Number Generator (PRNG), encryption algorithm or a key exchange scheme, f...

We comment on a recent paper by D’Abramo [Chaos, Solitons & Fractals, 25 (2005) 29], focusing on the author’s statement that an algorithm can produce a list of strings containing at least one string whose algorithmic complexity is greater than that of the entire list. We show that this statement, although perplexing, is not as paradoxical as it seems when the definition of algorithmic complexit...

The author’s intent in this paper is to discuss new methods for conducting research on and connecting the works of chaos and complexity theorists with interpretive, hermeneutical, and phenomenological theorists as a multiple-method mode of inquiry. He proposes a methodological design that incorporates a recursive process of phenomenological reduction to find connectedness and generate shared me...