Results 1 to 10 of about 33,514 (190)

Trojan pairs in the HD 128311 and HD 82943 planetary systems? [PDF]

, 2006
Two nearby stars, HD 128311 and HD 82943, are believed to host pairs of Jupiter-like planets involved in a strong first order 2:1 mean motion resonance (MMR).
Gozdziewski, Krzysztof, Konacki, Maciej
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Effects of an eccentric inner Jupiter on the dynamical evolution of icy body reservoirs in a planetary scattering scenario [PDF]

, 2017
Aims. We analyze the dynamics of small body reservoirs under the effects of an eccentric inner giant planet resulting from a planetary scattering event around a 0.5 M⊙ star. Methods.
Brunini, A., de Elia, Gonzalo Carlos, Di Sisto, Romina Paula, Guilera, O. M., Li, G., Naoz, S., Zanardi, Macarena   +6 more
core   +3 more sources

Logarithm laws and shrinking target properties [PDF]

, 2008
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation, and probability theory.Comment: This is a ...
Athreya, Jayadev S.
core   +1 more source

Global bifurcations close to symmetry [PDF]

, 2016
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds, occur persistently in some symmetric differential equations on the 3-dimensional sphere.
Labouriau, Isabel S., Rodrigues, Alexandre A. P.   +1 more
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Spiralling dynamics near heteroclinic networks [PDF]

, 2013
There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of vector fields} on the three-dimensional sphere $\EU^3$, whose flow has a ...
Address Of Alex, Alexandre A. P. Rodrigues, Alexandre A. P. Rodrigues, Isabel, Isabel S. Labouriau, Isabel S. Labouriau, Re A. P. Rodrigues, S. Labouriau   +7 more
core   +1 more source

Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

, 2017
This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission.
Rubin, Jonathan E., Signerska-Rynkowska, Justyna, Touboul, Jonathan, Vidal, Alexandre   +3 more
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Aspects of Bifurcation Theory for Piecewise-Smooth, Continuous Systems

, 2010
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review some of the phenomena that can occur for piecewise-smooth, continuous maps and flows when a fixed point or an equilibrium collides with a surface on ...
Arima, Asai, Banerjee, Belghith, Brogliato, Caballé, Campbell, Carmona, Carmona, Carmona, Casey, Chang, Chin, Chua, Colombo, Coombes, D.J.W. Simpson, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, Do, Do, Feigin, Filippov, Freire, Freire, Ganguli, Gardini, Glendinning, Gonçalves, Guardia, Hadeler, Hassouneh, Hommes, Iwatani, J.D. Meiss, Johansson, Küpper, Küpper, Lagarias, Laugesen, Leine, Leine, Leine, Liberzon, Lin, Llibre, Lum, Maistrenko, Mosekilde, Nusse, Nusse, Popp, Rasband, Rosen, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Sparrow, Sushko, Sushko, Szalai, Szalai, Tiesinga, Tse, Van der Schaft, Yang, Yuan, Zhao, Zhao, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zou, Zou   +85 more
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Optimal transport and dynamics of expanding circle maps acting on measures [PDF]

, 2013
Using optimal transport we study some dynamical properties of expanding circle maps acting on measures by push-forward. Using the definition of the tangent space to the space of measures introduced by Gigli, their derivative at the unique absolutely ...
Ambrosio, BENOÎT KLOECKNER, Krzyżewski
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Complex Networks and Symmetry I: A Review [PDF]

, 2010
In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for particular classes of deterministic graphs, the analysis ...
Barabasi, Barrat, Buchanan, Caldarelli, Caldarelli, Diego Garlaschelli, Franco Ruzzenenti, Gross, Harary, Pascual, Pastor-Satorras, Riccardo Basosi, Ruzzenenti, Wasserman   +13 more
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Dualities in integrable systems: geometrical aspects [PDF]

, 2001
We discuss geometrical aspects of different dualities in the integrable systems of the Hitchin type and its various generalizations. It is shown that T duality known in the string theory context is related to the separation of variables procedure in ...
Gorsky, A., Rubtsov, V.
core   +3 more sources