Results 1 to 10 of about 33,323 (73)

Effects of an eccentric inner Jupiter on the dynamical evolution of icy body reservoirs in a planetary scattering scenario [PDF]

open access: yes, 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.   +6 more
core   +3 more sources

Global bifurcations close to symmetry [PDF]

open access: yes, 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.   +1 more
core   +2 more sources

Spiralling dynamics near heteroclinic networks [PDF]

open access: yes, 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   +7 more
core   +1 more source

Optimal transport and dynamics of expanding circle maps acting on measures [PDF]

open access: yes, 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
core   +3 more sources

Logarithm laws and shrinking target properties [PDF]

open access: yes, 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

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

open access: yes, 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.   +3 more
core   +2 more sources

Complex chaos in the conditional dynamics of qubits

open access: yes, 2006
We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex parameter.
Alber, G.   +3 more
core   +1 more source

Dense heteroclinic tangencies near a Bykov cycle [PDF]

open access: yes, 2014
This article presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a Bykov cycle where trajectories turn in opposite directions near the two nodes --- we say that the nodes have different ...
Labouriau, Isabel S.   +1 more
core   +3 more sources

Berry Phases on Virasoro Orbits

open access: yes, 2017
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit.
Oblak, Blagoje
core   +1 more source

Heterogeneous delays making parents synchronized: A coupled maps on Cayley tree model

open access: yes, 2014
We study the phase synchronized clusters in the diffusively coupled maps on the Cayley tree networks for heterogeneous delay values. Cayley tree networks comprise of two parts: the inner nodes and the boundary nodes.
Jalan, Sarika, Singh, Aradhana
core   +2 more sources

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