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pro vyhledávání: '"Brenig, Leon"'
Autor:
Gleriaa, Iram, Da Silvab, Sergio, Brenig, Leon, Filho, Tarcısio M. Rocha, Figueiredo, Annibal
In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model, which together simulate population dynamics and the role of economic
Externí odkaz:
http://arxiv.org/abs/2308.08315
Publikováno v:
Physics Letters A 324(5,6), 425-436 (2004)
The existence of conservative quasipolynomial (QP) maps is investigated. A classification is given for dimensions two and three, and the analytical solution of the former case is constructed. General properties of n-dimensional QP conservative maps a
Externí odkaz:
http://arxiv.org/abs/1910.13283
Publikováno v:
Journal of Physics A: Mathematical and General 37(6), 2191-2200 (2004)
Quasipolynomial (or QP) mappings constitute a wide generalization of the well-known Lotka-Volterra mappings, of importance in different fields such as population dynamics, Physics, Chemistry or Economy. In addition, QP mappings are a natural discrete
Externí odkaz:
http://arxiv.org/abs/1910.05080
Publikováno v:
Journal of Physics A: Mathematical and General 31(10), 2415-2430 (1998)
It is sometimes desirable to produce for a nonlinear system of ODEs a new representation of simpler structural form, but it is well known that this goal may imply an increase in the dimension of the system. This is what happens if in this new represe
Externí odkaz:
http://arxiv.org/abs/1910.02726
Publikováno v:
Nonlinear Analysis: Real World Applications 7(3), 486-496 (2006)
The quasipolynomial (QP) generalization of Lotka-Volterra discrete-time systems is considered. Use of the QP formalism is made for the investigation of various global dynamical properties of QP discrete-time systems including permanence, attractivity
Externí odkaz:
http://arxiv.org/abs/1910.01513
Publikováno v:
Journal of Physics A: Mathematical and General 35(26), 5453-5469 (2002)
In the last years it has been shown that Lotka-Volterra mappings constitute a valuable tool from both the theoretical and the applied points of view, with developments in very diverse fields such as Physics, Population Dynamics, Chemistry and Economy
Externí odkaz:
http://arxiv.org/abs/1910.00951
Autor:
Brenig, Léon, Gleria, Iram, Filho, Tarcísio M. Rocha, Figueiredo, Annibal, Hernández-Bermejo, Benito
An equivalence is shown between a large class of deterministic dynamical systems and a class of stochastic processes, the balanced urn processes. These dynamical systems are governed by quasi-polynomial differential systems that are widely used in ma
Externí odkaz:
http://arxiv.org/abs/1807.06392
Akademický článek
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Autor:
Brenig, Leon
A general solution is found for a large class of time continuous autonomous nonlinear dynamical systems, the so-called quasi-polynomial systems. This solution is expressed in terms of a new type of special functions defined via their Taylor series. T
Externí odkaz:
http://arxiv.org/abs/0910.2584
Autor:
Brenig, Léon
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2018 Jul . 376(2124), 1-17.
Externí odkaz:
https://www.jstor.org/stable/26601054
