Hasil untuk "nlin.AO"

Alexander Herega

A model of the oscillatory component of interaction of inner boundaries is studied; and the features of generation of the composite structure in interim asymptotics are considered. A model of a multiscale net of inner boundaries was used to obtain analytical expressions for calculating the force fields of the Sierpinski prefractal and its modifications.

Tianping Chen

In this paper, we focus on the topic Synchronization and consensus of Complex Networks and their relationships. It is revealed that two topics are closely relating to each other and all results given in \cite{Li} can be obtained by the results in \cite{Lu2006}.

Nathalie Mezza-Garcia

In this paper I consider the necessity and the possibilities of engineering bio-inspired political systems. Systems capable of harnessing the complexity of the human social systems and their increasingly growing and diversifying interactions.

Marat Akhmet

We consider the integrate-and-fire model of the cardiac pacemaker with delayed pulsatile coupling. Sufficient conditions of synchronization are obtained for identical and non-identical oscillators.

D. N. Makovetskii

The inversion states of a saturated traveling-wave three-level quantum paramagnetic amplifier have been investigated under conditions of bistable resonator pumping. The equations of motion for the vectorial order parameter have been obtained using adiabatic elimination of fast variables. The exact solutions for stationary inversion states have been found from these equations. For high-quality pump resonators, the isolated and the semi-isolated branches of the inversion ratio have been revealed in stationary solutions. The existence of the semi-isolated branches means a possibility of collapse of the inversion state under influence of a saturating signal. Revival of inversion is possible in this case only by the hard excitation of the pump system. This nonlinear phenomenon is of a qualitatively another nature than one described by us in arXiv:0901.0449v1 [nlin.AO], and may be observed at moderate Q-factor of pump resonator.

D. N. Makovetskii

The inversion states of a saturated traveling-wave three-level quantum paramagnetic amplifier have been investigated under conditions of bistable resonator pumping. The equations of motion for the vectorial order parameter have been obtained using adiabatic elimination of fast variables. The exact solutions for stationary inversion states have been found from these equations. For high-quality pump resonators, the isolated and the semi-isolated branches of the inversion ratio have been revealed in stationary solutions. The existence of the semi-isolated branches means a possibility of collapse of the inversion state under influence of a saturating signal. Revival of inversion is possible in this case only by the hard excitation of the pump system. This nonlinear phenomenon is of a qualitatively another nature than one described by us in arXiv:0901.0449v1 [nlin.AO], and may be observed at moderate Q-factor of pump resonator.

R. Zimmermann

Recent developments in loop quantum gravity and topological quantum field theory are being mirrored with a view to the emergent structure of self- organized criticality (SOC). Referring back to an earlier paper [nlin.AO/ 0105064], the relationship of SOC to negator algebra is discussed. It is shown that introducing the categorial perspective leads to further holistic conclusions of considerable universality. This present paper shall serve as a preparation of a concrete research project under way designed to illustrate this very universality. Hence, it belongs to a series of recent publications discussing the modern and fruitful interaction between philosophy and the sciences, beyond mere historical aspects and the traditional rephrasing of well-known scientific results.

R. Zimmermann

With a view to the ongoing Bologna project (www.arXiv.org, nlin.AO/0109025) general organizing principles of emergent structures in social systems are being discussed with a view to the meaning of decentralization. It is proposed to introduce decentralization as a principle for organizing emergent structures in a generic way utilizing aspects of the insight gained by the Santa Fe school dealing with self-organized criticality. The techniques utilized come from graph theory, category theory, and in particular quantum gravity, which bear a strong potential for a multitude of applications in research fields with a significant interdisciplinary scope. This is especially important for applications in the organization of social systems which usually call for an interaction of logic and hermeneutic.

Rainer E. Zimmermann

With a view to the ongoing Bologna project (www.arXiv.org/pdf/nlin.AO/0109025) general organizing principles of emergent structures in social systems are being discussed with a view to the meaning of decentralization. It is proposed to introduce decentralization as a principle for organizing emergent structures in a generic way utilizing aspects of the insight gained by the Santa Fe school dealing with self-organized criticality. The techniques utilized come from graph theory, category theory, and in particular quantum gravity, which bear a strong potential for a multitude of applications in research fields with a significant interdisciplinary scope. This is especially important for applications in the organization of social systems which usually call for an interaction of logic and hermeneutic.

Cosma Rohilla Shalizi, Kristina Lisa Shalizi

Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information theory that let us calculate the dynamical information content of spatial random processes. This complexity measure allows us to quantitatively determine the rate of self-organization of these cellular automata, and establish the relationship between parameter values and self-organization in CCA. The method is very general and can easily be applied to other cellular automata or even digitized experimental data.

Rainer E. Zimmermann, Anna Soci

The following paper is on the emergence of observable complexity in urban networks visualized as product of essentially non-observable social processes. The methodology unfolded here draws on recent insight of econophysics in the strict sense under a top-down perspective of laying the foundations for a modern view to the evolution of dynamical structures in nature. The conception presented here deals with a section of ongoing cooperative research work being undertaken by the authors in collaboration with Giorgio Colacchio (now U Lecce). A first perspective as to the basic aspects of approach has been given in a joint paper in order to lay down the main ideas in some detail: R.E.Zimmermann, A.Soci, G.Colacchio (2001): Reconstructing Bologna. The City as an Emergent Computational System. An Interdisciplinary Study in the Complexity of Urban Structures. Part I: Basic Ideas & Fundamental Concepts. http://www.arXiv.org/pdf/nlin.AO/0109025 v2.

Mats Dahlbom, Anders Irbäck

This paper is withdrawn.

Vipul Periwal

Finite sample size corrections to the reparametrization-invariant solution of the inverse problem of probability are computed, and shown to converge uniformly to the correct distribution.

Denis V. Juriev

This paper is a compact overview of the heuristic approach to the recently elaborated octonionic binocular mobilevision.

Oliver Don, Martyn Amos

In this paper we describe a minimal model for annular sorting by Leptothorax ants. Simulation results are consistent with the structures observed in actual ant colonies.

Rami Kanhouche

We present a perceptional mathematical model for image and signal analysis. A resemblance measure is defined, and submitted to an innovating combinatorial optimization algorithm. Numerical Simulations are also presented

G. Wolansky

The definition of a mobilized system and its efficiency are introduced. The existence of an optimal (maximally efficient) system is proved by an application of Young measures and compensated compactness.

Doracelly Hincapie, Juan Ospina

An stochastic SIS epidemic model in an open environment is presented.

Saint Clair Cemin, Lee Smolin

We propose a scenario for the origin of life based on the coevolution of lipid bilayer vesicles and protein channels.