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Attractors In Recurrent Behavior Networks
, 1997
"... If behavior networks, which use spreading activation to select actions, are analogous to connectionist methods of pattern recognition, then recurrent behavior networks, which use energy minimization, are analogous to Hopfield networks. Hopfield networks memorize patterns by making them attractors. S ..."
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Cited by 9 (1 self)
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If behavior networks, which use spreading activation to select actions, are analogous to connectionist methods of pattern recognition, then recurrent behavior networks, which use energy minimization, are analogous to Hopfield networks. Hopfield networks memorize patterns by making them attractors
Attractor Systems and Analog Computation
"... Attractor systems are useful in neurodynamics, mainly in the modeling of associative memory. This paper presents a complexity theory for continuous phase space dynamical systems with discrete or continuous time update, which evolve to attractors. In our framework we associate complexity classes with ..."
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Attractor systems are useful in neurodynamics, mainly in the modeling of associative memory. This paper presents a complexity theory for continuous phase space dynamical systems with discrete or continuous time update, which evolve to attractors. In our framework we associate complexity classes
Morphing Sound Attractors
 Proc. of the 3rd. World Multiconference on Systemics, Cybernetics and Informatics (SCI'99) AES 31st International Conference
, 1999
"... Dynamic modeling of sound is a new approach to model and synthesize natural sound signals and is based on a recent method of modeling dynamical systems with neural networks. The following investigation addresses the problem of controlling the characteristics of the sound signals that are obtained fr ..."
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Cited by 1 (0 self)
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from a dynamical sound model. Here, we propose an algorithm for morphing between the dynamics of different sounds. The dynamics of one dimensional attractors can be used to model a large number of sound signals. In the following we will give an example of a dynamical model of a piano sound
Single String Evolutionary Techniques
"... using single string evolutionary techniques. Available from ..."
1Rohlin Distance and the Evolution of Influenza A virus: Weak Attractors and Precursors
"... The evolution of the hemagglutinin amino acids sequences of Influenza A virus is studied by a method based on an informational metrics, originally introduced by Rohlin for partitions in abstract probability spaces. This metrics does not require any previous functional or syntactic knowledge about th ..."
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data from 2006/07 to 2010/2011 for A/H1N1. We show that the clusterization of the distance matrix gives strong evidence to a structure of domains in the sequence space, acting as weak attractors for the evolution, in very good agreement with the epidemiological history of the virus. The structure
Rohlin Distance and the Evolution of Influenza A Virus: Weak Attractors and Precursors
, 2011
"... The evolution of the hemagglutinin amino acids sequences of Influenza A virus is studied by a method based on an informational metrics, originally introduced by Rohlin for partitions in abstract probability spaces. This metrics does not require any previous functional or syntactic knowledge about th ..."
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data from 2006/07 to 2010/2011 for A/H1N1. We show that the clusterization of the distance matrix gives strong evidence to a structure of domains in the sequence space, acting as weak attractors for the evolution, in very good agreement with the epidemiological history of the virus. The structure
Social Processes, Program Verification and All That
 UNDER CONSIDERATION FOR PUBLICATION IN MATH. STRUCT. IN COMP. SCIENCE
, 2009
"... ... mostly motivating their position by an analogy with proofs in mathematics, and in particular with the impracticality of a strictly formalist approach to this discipline. The recent, impressive achievements in the field of interactive theorem proving provide an interesting ground for a critical r ..."
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Cited by 4 (2 self)
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revisiting of those theses. We believe that the social nature of proof and program development is uncontroversial and ineluctable but formal verification is not antithetical to it. Formal verification should strive not only to cope, but to ease and enhance the collaborative, organic nature of this process
3 Modern String Theory and Particle Physics
"... In this lecture we compare and contrast the regular and chaotic dynamics as described by linear and nonlinear Schroedinger equations. The linear Schrödinger equation (LSE) predicts a strictly regular dynamics, yet classical particle chaos emerges from its shortwavelength (or semiclassical) limit. T ..."
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In this lecture we compare and contrast the regular and chaotic dynamics as described by linear and nonlinear Schroedinger equations. The linear Schrödinger equation (LSE) predicts a strictly regular dynamics, yet classical particle chaos emerges from its shortwavelength (or semiclassical) limit. The nonlinear Schrödinger equation (NLSE) which in the limit of weak interparticle interaction reduces to the LSE, on the other hand, features deterministic wave chaos. We have recently shown that wavepackets separate exponentially in Hilbert space allowing for the determination of a Lyapunv exponent in direct analogy to phase space trajectories of classical particles[1]. The GrossPitaevskii equation (GPE) describing BoseEinstein condensate of ultracold quantum gases on the meanfield level is a prominent example of such a NLSE. The existence of wave chaos raises fundamental questions as to the stability of BoseEinstein condensates and the validity of a meanfield description for the time evolution. After all, the GPE is only an approximation to the exact manybody Schroedinger equation which, in turn, is a LSE and thus strictly regular.
Results 1  10
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1,308