Hasil untuk "nlin.AO"

A. T. Mustafin

A plausible mechanism of self-regulation in technological chains of the kind wherein input resources are converted into common final product through sequences of processing links having uniform kinetic properties is discussed. A bottleneck principle is derived according to which output of the overall chain is completely determined by its slowest link, if all the links are featured by satiation and weak outflow.

David J. Jörg

We present a practical method to obtain bounds for the oscillation minima and maxima of large classes of biochemical oscillator models that generate oscillations through a negative feedback. These bounds depend on the feedback nonlinearity and are independent of explicit or effective feedback delays. For specific systems, we obtain explicit analytical expressions for the bounds and demonstrate their effectiveness in comparison with numerical simulations.

Arkady Pikovsky

We study dynamics of a serial array of spin-torque-oscillators with a parallel inductor-capacitor-resistor (LCR) load. In a large range of parameters the fully synchronous regime, where all the oscillators have the same state and the output field is maximal, is shown to be stable. However, not always such a robust complete synchronization develops from the random initial state, in many cases nontrivial clustering is observed, with a partial synchronization resulting in a quasiperiodic or chaotic mean field dynamics.

Wentian Li

We examine the complete dataset of baby name popularity collected by U.S. Social Security Administration for the last 131 years (1880-2010). The ranked baby name popularity can be fitted empirically by a piecewise function consisting of Beta function for the high-ranking names and power-law function for low-ranking names, but not power-law (Zipf's law) or Beta function by itself.

Imre Ferenc Barna, Laszlo Matyas

In this article we will present a study of the well-known Kardar-Parisi-Zhang(KPZ) model. Under certain conditions we have found analytic self-similar solutions for the underlying equation. The results are strongly related to the error functions. One and two spatial dimensions are considered with different kind of self-similar Ansaetze.

Raquel G. Catalan, Jose Garay, Ricardo Lopez-Ruiz

In this work, the proofs concerning the continuity of the disequilibrium, Shannon information and statistical complexity in the space of distributions are presented. Also, some results on the existence of Shannon information for continuous systems are given.

M. N. Kuperman

Recent studies have established an apparent relationship between the repertoire of signals used for communication and neocortex size of different species of primates and the topology of the social network formed by the interactions between individuals. Inspired by these results, we have developed a model that qualitatively reproduces these observations. The model presents the social organization as a self organized processes where the size of the repertoire in one case and of the neocortex in another play a highly relevant role.

Nariya Uchida

Synchronization of coupled oscillators on a $d$-dimensional lattice with the power-law coupling $G(r) = g_0/r^α$ and randomly distributed intrinsic frequency is analyzed. A systematic perturbation theory is developed to calculate the order parameter profile and correlation functions in powers of $ε= α/d-1$. For $α\le d$, the system exhibits a sharp synchronization transition as described by the conventional mean-field theory. For $α> d$, the transition is smeared by the quenched disorder, and the macroscopic order parameter $\Avψ$ decays slowly with $g_0$ as $|\Avψ| \propto g_0^2$.

Carmen Pellicer-Lostao, Ricardo Lopez-Ruiz

This paper presents a novel study on gas-like models for economic systems. The interacting agents and the amount of exchanged money at each trade are selected with different levels of randomness, from a purely random way to a more chaotic one. Depending on the interaction rules, these statistical models can present different asymptotic distributions of money in a community of individuals with a closed economy.

O. Karabacak, P. Ashwin

We study an unusual but robust phenomenon that appears in an example system of four coupled phase oscillators. We show that the system can have a robust attractor that responds to a specific detuning between certain pairs of the oscillators by a breaking of phase locking for arbitrary positive detunings but not for negative detunings. As the dynamical mechanism behind this is a particular type of heteroclinic network, we call this a 'heteroclinic ratchet' because of its dynamical resemblance to a mechanical ratchet.

Francis Heylighen

This introductory paper is structured in the form of an "interview", where the author answers the following questions: Why did you begin working with complex systems? How would you define complexity? What is your favourite aspect/concept of complexity? In your opinion, what is the most problematic aspect/concept of complexity? How do you see the future of complexity?

Robert Botet, Marek Ploszajczak

We investigate a new model of binary fragmentation with inhibition, driven by the white noise. In a broad range of fragmentation probabilities, the power-law spatiotemporal correlations are found to arise due to self-organized criticality (SOC). We find in the SOC phase a non-trivial power spectrum of the temporal sequence of the fragmentation events. The $1/f$~ behaviour is recovered in the irreversible, near-equilibrium part of this phase.

A. Ponzi, Y. Aizawa

We describe a financial market model which shows a non-equilibrium phase transition. Near the transition punctuated equilibrium behaviour is seen, with avalanches occuring on all scales. This scaling is described by an exponent very near 1. This system shows intermittent time development with bursts of global synchronization reminiscent of a market rollercoaster.

Carson C. Chow, J. J. Collins

A phenomenological model of human posture control is posited. The dynamics are modelled as an elastically pinned polymer under the influence of noise. The model accurately reproduces the two-point correlation functions of experimental posture data and makes predictions for the response function of the postural control system. The physiological and clinical significance of the model is discussed.

Dante R. Chialvo, Per Bak

A simple model of self-organised learning with no classical (Hebbian) reinforcement is presented. Synaptic connections involved in mistakes are depressed. The model operates at a highly adaptive, probably critical, state reached by extremal dynamics similar to that of recent evolution models. Thus, one might think of the mechanism as synaptic Darwinism.

R. Vilela Mendes

The emergence of dynamical structures in multi-agent systems is analysed. Three different mechanisms are identified, namely: (1) sensitive-dependence and convex coupling, (2) sensitive-dependence and extremal dynamics and (3) interaction through a collectively generated field. The dynamical origin of the emergent structures is traced back either to a modification, by interaction, of the Lyapunov spectrum or to multistable dynamics.

Surajit Chattopadhyay

The purpose of the present review is to discuss the role of Soft Computing techniques in understanding the complexity associated with atmospheric phenomena and thus developing predictive models. Problems in atmospheric data analysis are discussed in brief and the relevance of Soft Computing to the atmospheric data analysis and their advantage over the conventional methods are also conversed. Applicability of different Soft Computing techniques is precisely discussed. In the last section, up-to-date literature appraisal is incorporated.

Goutami Bandyopadhyay, Surajit Chattopadhyay

Present paper endeavors to forecast the population of India through Artificial Neural Network. A non-linear Artificial Neural Net model has been developed and the prediction has been found to be sufficiently accurate. It has been found that the model is performing more efficiently in predicting female population than the male population. Results have been presented graphically.

Marc Toussaint, Christian Igel

Self-adaptation is used in all main paradigms of evolutionary computation to increase efficiency. We claim that the basis of self-adaptation is the use of neutrality. In the absence of external control neutrality allows a variation of the search distribution without the risk of fitness loss.

Rainer E. Zimmermann, Wolfram Voelcker

We discuss aspects of emergence by introducing the concept of negator algebra referring to topos-theoretic results obtained by Vladimir Trifonov some time ago. As a possible application of this concept we present an example from non-linear economic processes concerning the evolution of the global crude oil market during the second half of the 20th century.