On Stability and Equilibria of Analog
نویسنده
چکیده
Both the analog Hoppeld network 1] and the cellular neural network 2], 3] are special cases of the new M-lattice system, recently introduced to the signal processing community 4], 5], 6]. We prove that a subclass of the M-lattice is totally stable. This result also applies to the cellular neural network as a rigorous proof of its total stability. By analyzing the stability of xed points, we derive the conditions for driving the equilibrium outputs of another subclass of the M-lattice to binary values. For the cellular neural network, this analysis is a precise formulation of an earlier argument based on circuit diagrams 2]. And for certain special cases of the analog Hoppeld network, this analysis explains why the output variables converge to binary values even with non-zero neuron auto-connections. This behavior, observed in computer simulation by researchers for quite some time, is explained for the rst time here.
منابع مشابه
Solution state studies on thermodynamic parameters and complexation behavior of inner transition metal ions with creatinine in aqueous and mixed equilibria
The determination of formation constants of binary inner transition metal complexes where M=Y(III) or La(III) or Ce(III) or Pr(III) or Nd(III) or Sm (III) or Gd (III) or Dy (III) or Th(IV) andL = Creatinine have been carried out using Irving–Rossotti titration technique in aqueous mediaat different temperatures and at ionic strength. To understand more about the nature ofequilibrium involving i...
متن کاملA discrete-time analog for coupled within-host and between-host dynamics in environmentally driven infectious disease
In this paper, we establish a discrete-time analog for coupled within-host and between-host systems for an environmentally driven infectious disease with fast and slow two time scales by using the non-standard finite difference scheme. The system is divided into a fast time system and a slow time system by using the idea of limit equations. For the fast system, the positivity and boundedness of...
متن کاملDYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS
The present article deals with the inter specific competition and intra-specific competition among predator populations of a prey-dependent three component food chain model consisting of two competitive predator sharing one prey species as their food. The behaviour of the system near the biologically feasible equilibria is thoroughly analyzed. Boundedness and dissipativeness of the system are e...
متن کاملA Method for the Associative Storage of Analog Vectors
A method for storing analog vectors in Hopfield's continuous feedback model is proposed. By analog vectors we mean vectors whose components are real-valued. The vectors to be stored are set as equilibria of the network. The network model consists of one layer of visible neurons and one layer of hidden neurons. We propose a learning algorithm, which results in adjusting the positions of the equi...
متن کاملSurfactant Effects on Tautomeric and Microscopic Equilibria of Tryptophan: Experimental and Theoretical Studies
Surfactant molecules are used as interesting tools to study the structure, function and stability of proteins. Protonation states of amino acids may be changed in the presence of surfactants. In this work, using experimental observations and molecular dynamic simulation, the effects of sodium dodecyl sulfate on the acid dissociation constants of tryptophan was examined. The acid–base equilibriu...
متن کاملThreshold harvesting policy and delayed ratio-dependent functional response predator-prey model
This paper deals with a delayed ratio-dependent functional response predator-prey model with a threshold harvesting policy. We study the equilibria of the system before and after the threshold. We show that the threshold harvesting can improve the undesirable behavior such as nonexistence of interior equilibria. The global analysis of the model as well as boundedness and permanence properties a...
متن کامل