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Publikováno v: Eur. J. Phys. 34 (2013) 1049-1065

The analytical solution of the three--dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in terms of initial conditions. This result offers the possibility of trea

Externí odkaz: http://arxiv.org/abs/1304.7922

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Families of piecewise linear maps with constant Lyapunov exponent

Autor: Botella-Soler, V., Oteo, J. A., Ros, J., Glendinning, P.

We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Lyapunov exponent and the topological entropy remain constant. We provid

Externí odkaz: http://arxiv.org/abs/1205.5360

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Coexistence of periods in a bisecting bifurcation

Autor: Botella-Soler, V., Oteo, J. A., Ros, J.

The inner structure of the attractor appearing when the Varley-Gradwell-Hassell population model bifurcates from regular to chaotic behaviour is studied. By algebraic and geometric arguments the coexistence of a continuum of neutrally stable limit cy

Externí odkaz: http://arxiv.org/abs/1103.0874

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Bifurcations in the Lozi map

Autor: Botella-Soler, V., Castelo, J. M., Oteo, J. A., Ros, J.

Publikováno v: J. Phys. A: Math. Theor. 44 (2011) 305101

We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit cycles, all with the same period.
Comment: 17 pages, 12 figu

Externí odkaz: http://arxiv.org/abs/1102.0034

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Dynamics of a map with power-law tail

Autor: Botella-Soler, V., Oteo, J. A., Ros, J.

Publikováno v: V Botella-Soler et al 2009 J. Phys. A: Math. Theor. 42 385101 (22pp)

We analyze a one-dimensional piecewise continuous discrete model proposed originally in studies on population ecology. The map is composed of a linear part and a power-law decreasing piece, and has three parameters. The system presents both regular a

Externí odkaz: http://arxiv.org/abs/0812.4551

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The Magnus expansion and some of its applications

Autor: Blanes, S., Casas, F., Oteo, J. A., Ros, J.

Publikováno v: Physics Reports 470 (2009), 151-238

Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging from Quantum Mechanics to Control Theory. When formulated in operator

Externí odkaz: http://arxiv.org/abs/0810.5488

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A fractal set from the binary reflected Gray code

Autor: Oteo, J. A., Ros, J.

Publikováno v: J. Phys. A: Math. Gen. 38 (2005) 8935-8949

The permutation associated with the decimal expression of the binary reflected Gray code with $N$ bits is considered. Its cycle structure is studied. Considered as a set of points, its self-similarity is pointed out. As a fractal, it is shown to be t

Externí odkaz: http://arxiv.org/abs/nlin/0510032

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