Models of Extinction: A ReviewWe review recent work aimed at modeling species extinction over geological time. We discuss a number of models which, rather than dealing with the direct causes of particular extinction events,…M. E. J. Newman, R. G. Palmer·Aug 6, 1999SaveLearn
A Complete Enumeration and Classification of Two-Locus Disease ModelsThere are 512 two-locus, two-allele, two-phenotype, fully-penetrant disease models. Using the permutation between two alleles, between two loci, and between being affected and unaffected, one model…Wentian Li, Jens Reich·Aug 5, 1999SaveLearn
Phase Transition in Random Networks with Multiple StatesThe critical boundaries separating ordered from chaotic behavior in randomly wired S-state networks are calculated. These networks are a natural generalization of random Boolean nets and are proposed…Ricard V. Sole, Bartolo Luque, Stuart Kauffman·Jul 23, 1999SaveLearn
Scaling in a Multispecies Network Model EcosystemA new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close…Ricard V. Sole, David Alonso, Alan McKane·Jul 23, 1999SaveLearn
Autoregressive model of 1/f noiseAn analytically solvable model is proposed exhibiting 1/f spectrum in any desirably wide range of frequency (but excluding the point f=0). The model consists of pulses whose recurrence times obey an…B. Kaulakys·Jul 23, 1999SaveLearn
Resource Sharing and Coevolution in Evolving Cellular AutomataEvolving one-dimensional cellular automata (CAs) with genetic algorithms has provided insight into how improved performance on a task requiring global coordination emerges when only local…Justin Werfel, Melanie Mitchell, James P. Crutchfield·Jul 23, 1999SaveLearn
Nondecay probability of a metastable state: almost exact analytical description in wide range of noise intensityThis paper presents a complete description of noise-induced decay of a metastable state in a wide range of noise intensity. Recurrent formulas of exact moments of decay time valid for arbitrary noise…Svetlana P. Nikitenkova, Andrey L. Pankratov·Jul 21, 1999SaveLearn
Functional Dynamics I : Articulation ProcessThe articulation process of dynamical networks is studied with a functional map, a minimal model for the dynamic change of relationships through iteration. The model is a dynamical system of a…N. Kataoka, K. Kaneko·Jul 20, 1999SaveLearn
Functional Dynamics II : Syntactic StructureFunctional dynamics, introduced in a previous paper, is analyzed, focusing on the formation of a hierarchical rule to determine the dynamics of the functional value. To study the periodic (or…N. Kataoka, K. Kaneko·Jul 20, 1999SaveLearn
A dynamical model of non regulated marketsThe main focus of this work is to understand the dynamics of non regulated markets. The present model can describe the dynamics of any market where the pricing is based on supply and demand. It will…Andreas Schaale·Jul 15, 1999SaveLearn
Strategy Selection in the Minority GameWe investigate the dynamics of the choice of an active strategy in the minority game. A history distribution is introduced as an analytical tool to study the asymmetry between the two choices offered…R. D'Hulst, G. J. Rodgers·Jul 14, 1999SaveLearn
Metastable Evolutionary Dynamics: Crossing Fitness Barriers or Escaping via Neutral Paths?We analytically study the dynamics of evolving populations that exhibit metastability on the level of phenotype or fitness. In constant selective environments, such metastable behavior is caused by…Erik van Nimwegen, James P. Crutchfield·Jul 2, 1999SaveLearn
Lyapunov Exponents in Random Boolean NetworksA new order parameter approximation to Random Boolean Networks (RBN) is introduced, based on the concept of Boolean derivative. A statistical argument involving an annealed approximation is used,…Bartolo Luque, Ricard V. Sole·Jun 30, 1999SaveLearn
Model of self-replicating cell capable of self-maintenanceWe construct a simple model of a proto-cell that simulates a stochastic dynamics of abstract chemicals on a two-dimensional lattice. We assume that chemicals catalyze their reproduction through…Naoaki Ono, Takashi Ikegami·Jun 25, 1999SaveLearn
Noise-induced breakdown of coherent collective motion in swarmsWe consider swarms formed by populations of self-propelled particles with attractive long-range interactions. These swarms represent multistable dynamical systems and can be found either in coherent…A. S. Mikhailov, D. H. Zanette·Jun 7, 1999SaveLearn
An Exactly Soluble Hierarchical Clustering Model: Inverse Cascades, Self-Similarity, and ScalingWe show how clustering as a general hierarchical dynamical process proceeds via a sequence of inverse cascades to produce self-similar scaling, as an intermediate asymptotic, which then truncates at…A. Gabrielov, W. I. Newman, D. L. Turcotte·Jun 4, 1999SaveLearn
Minimum Energy Information Fusion in Sensor NetworksIn this paper we consider how to organize the sharing of information in a distributed network of sensors and data processors so as to provide explanations for sensor readings with minimal expenditure…George Chapline·Jun 3, 1999SaveLearn
Evolution in Minority Games II. Games with Variable Strategy SpacesWe continue our study of evolution in minority games by examining games in which agents with poorly performing strategies can trade in their strategies for new ones from a different strategy space.…Yi Li, Rick Riolo, Robert Savit·May 28, 1999SaveLearn
Globally coupled bistable elements as a model of group decision makingA simple mathematical model is proposed to study the effect of the average trend of a population on the opinion of each individual, when a group decision has to be made by voting. It is shown that if…Damian H. Zanette·May 18, 1999SaveLearn
Noise-induced memory in extended excitable systemsWe describe a form of memory exhibited by extended excitable systems driven by stochastic fluctuations. Under such conditions, the system self-organizes into a state characterized by power-law…Dante R. Chialvo, Guillermo A. Cecchi, Marcelo O. Magnasco·May 4, 1999SaveLearn
Extremal Coupled Map LatticesWe propose a model for co-evolving ecosystems that takes into account two levels of description of an organism, for instance genotype and phenotype. Performance at the macroscopic level forces…Guillermo Abramson, Jose Luis Vega·Apr 30, 1999SaveLearn
Lattice three-species models of the spatial spread of rabies among foxesLattice models describing the spatial spread of rabies among foxes are studied. In these models, the fox population is divided into three-species: susceptible, infected or incubating, and infectious…A. Benyoussef, N. Boccara, H. Chakib et al.·Apr 20, 1999SaveLearn
A Mathematical Model with Modified Logistic Approach for Singly-Peaked Population ProcessesWhen a small number of individuals of organism of single species is confined in a closed space with limited amount of indispensable resources, their breading may start initially under suitable…Ryoitiro Huzimura, Toyoki Matsuyama·Apr 19, 1999SaveLearn
Evolution dynamics in terraced NK landscapesWe study populations of agents evolving in fitness landscapes constructed according to the rules of a modified NK model with a tunable amount of neutral paths. In the `punctuated equilibrium'…Paolo Sibani, Andreas Pedersen·Apr 16, 1999SaveLearn
Three sided complex adaptative systemsWe introduce two three sided adaptative systems as toy models to mimic the exchange of commodities between buyers and sellers. These models are simple extensions of the minority game, exhibiting…R. D'hulst, G. J. Rodgers·Apr 12, 1999SaveLearn