Linear Stability Conditions for a First Order 4-Dimensional Discrete Dynamic

In this paper, we study the competition between two firms whose outputs are quantities. The first firm considers maximization of its profit while the second firm considers maximization of its social welfare. Adopting a gradient-based mechanism, we introduce a nonlinear discrete dynamic map which is used to describe the dynamics of this game. For this map, the fixed points are calculated and their stability conditions are analyzed. This includes investigating some attracting set and chaotic behaviors for the complex dynamics of the map. We have also investigated the types of the preimages that characterize the phase plane of the map and conclude that the game’s map is noninvertible of type Z 4 − Z 2 .

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ESTIMATION OF INTERIOR TEMPERATURE OF AN ELECTRIC OVEN

FUDMA Journal of Sciences ◽

10.33003/fjs-2021-0502-516 ◽

2021 ◽

Vol 5 (2) ◽

pp. 1-6

Author(s):

Peter Ogwola ◽

Muhammad Bello Sullayman

Keyword(s):

Dynamic Model ◽

Kalman Filtering ◽

Order Difference ◽

First Order ◽

Discrete Dynamic ◽

Proportionality Constant ◽

Discrete Dynamic Model ◽

Electric Oven ◽

Order Difference Equation ◽

Filtering Technique

This paper is aimed at estimating interior temperature of an electric oven with respect to the jacket temperature. A discrete dynamic model of first order difference equation is described for the system. Kalman filtering technique is applied to the discrete dynamic model for estimation of the interior temperature. A computer program is written to simulate the system. It was observed that the estimates of the interior temperatures are directly proportional to estimates of the Jacket temperatures with proportionality constant of 0.0009. With this method it is therefore possible to obtain the interior temperature of the electric oven at any given time.

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Kinks and branes in models with hyperbolic interactions

International Journal of Modern Physics A ◽

10.1142/s0217751x17501639 ◽

2017 ◽

Vol 32 (26) ◽

pp. 1750163 ◽

Cited By ~ 9

Author(s):

D. Bazeia ◽

Elisama E. M. Lima ◽

L. Losano

Keyword(s):

Scalar Field ◽

Energy Density ◽

Linear Stability ◽

Analytical Solutions ◽

Zero Mode ◽

Metric Tensor ◽

First Order ◽

Standard Formalism ◽

Density Linear ◽

Deformation Procedure

In this work, we investigate several models described by a single real scalar field with nonpolynomial interactions, constructed to support topological solutions. We do this using the deformation procedure to introduce a function which allows to construct two distinct families of hyperbolic potentials, controlled by three distinct parameters, in the standard formalism. In this way, the procedure allows us to get analytical solutions, and then investigate the energy density, linear stability and zero mode. We move on and introduce a nonstandard formalism to obtain compact solutions, analytically. We also investigate these hyperbolic models in the braneworld context, considering both the standard and nonstandard possibilities. The results show how to construct distinct braneworld models which are implemented via the first-order formalism and are stable against fluctuation of the metric tensor.

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