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Listar por palabra clave "Devaney chaos"

Mostrando ítems 1-13 de 13

Chaotic asymptotic behaviour of the solutions of the Lighthill Whitham Richards equation

Conejero, J. Alberto; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís (Springer-Verlag, 2016)

[EN] The phenomenon of chaos has been exhibited in mathematical nonlinear models that describe traffic flows, see, for instance (Li and Gao in Modern Phys Lett B 18(26-27):1395-1402, 2004; Li in Phys. D Nonlinear Phenom ...
Chaotic behaviour of the solutions of the Moore-Gibson-Thompson equation

Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís (Natural Sciences Publishing, 2015-09)

[EN] We study a third-order partial differential equation in the form $\tau u_{ttt} +\alpha u_{tt} -c^2 u_{xx} -b u_{xxt} =0, (1)$$ that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation ...
Chaotic Behaviour on Invariant Sets of Linear Operators

Murillo Arcila, Marina; Peris Manguillot, Alfredo (Springer Verlag (Germany), 2015)

We study hypercyclicity, Devaney chaos, topological mixing properties and strong mixing in the measure-theoretic sense for operators on topological vector spaces with invariant sets. More precisely, our purpose is to ...
Chaotic semigroups from second order partial differential equations

Conejero, J. Alberto; Lizama, Carlos; Murillo Arcila, Marina (Elsevier, 2017-12-01)

[EN] We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution C-0-semigroup corresponding to a class of second-order partial differential equations. We also provide a ...
Distributional chaos for the Forward and Backward Control traffic model

Barrachina Civera, Xavier; Conejero, J. Alberto; Murillo Arcila, Marina; Seoane-Sepulveda, Juan B. (Elsevier, 2015-08-15)

The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery ...
Distributional chaos of C0-semigroups of operators

Barrachina Civera, Xavier (Universitat Politècnica de València, 2013-04-26)

El caos distribucional fue introducido por Schweizer y Smítal en [SS94] a partir de la noción de caos de Li-Yorke con el fín de implicar la entropía topológica positiva para aplicaciones del intervalo compacto en sí ...
Dynamics of multivalued linear operators

Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; Murillo Arcila, Marina (De Gruyter Open, 2017)

[EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. ...
Dynamics of the solutions of the water hammer equations

Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís (Elsevier, 2016-04-15)

[EN] In this note we provide a representation of the solution using an operator theoretical approach based on the theory of C-0-semigroups and cosine operator functions, when considering this phenomenon on a compressible ...
Dynamics on binary relations over topological spaces

Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; Murillo Arcila, Marina (MDPI AG, 2018)

[EN] The existence of chaos and the quest of dense orbits have been recently considered for dynamical systems given by multivalued linear operators. We consider the notions of topological transitivity, topologically mixing ...
Linear chaos for the Quick-Thinking-Driver model

Conejero, J. Alberto; Murillo Arcila, Marina; Seoane-Sepúlveda, Juan B (Springer Verlag (Germany), 2016-04)

In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google ...
Linear dynamics of semigroups generated by differential operators

Conejero, J. Alberto; Lizama, Carlos; Murillo Arcila, Marina; Peris Manguillot, Alfredo (De Gruyter Open, 2017-06-09)

[EN] During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ...
On the existence of chaos for the viscous van Wijngaarden-Eringen equation

Conejero Casares, José Alberto; Lizama, Carlos; Murillo Arcila, Marina (Elsevier, 2016)

We study the viscous van Wijngaarden–Eringen equation: ∂2u ∂t2 − ∂2u ∂x2 = (Red)−1 ∂3u ∂t∂x2 + a2 0 ∂4u ∂t2∂x2 (1) which corresponds to the linearized version of the equation that models the acoustic planar propagation ...
Set-Valued Chaos in Linear Dynamics

Bernardes, N. C. Jr.; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís (Springer-Verlag, 2017)

[EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace ...