Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations [PDF]
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 +3 more sources
C*-algebras associated with reversible extensions of logistic maps [PDF]
The construction of reversible extensions of dynamical systems presented in a previous paper by the author and A.V. Lebedev is enhanced, so that it applies to arbitrary mappings (not necessarily with open range).
B. Kwaśniewski
semanticscholar +1 more source
Orbital stability of Earth Trojans [PDF]
The only discovery of Earth Trojan 2010 TK7 and the subsequent launch of OSIRIS-REx have motived us to investigate the stability around the triangular Lagrange points of the Earth, L4 and L5.
Lei Zhou +7 more
semanticscholar +1 more source
Transit timing observations from Kepler - III. : Confirmation of four multiple planet systems by a Fourier-domain study of anticorrelated transit timing variations [PDF]
We present a method to confirm the planetary nature of objects in systems with multiple transiting exoplanet candidates. This method involves a Fourier-domain analysis of the deviations in the transit times from a constant period that result from ...
J. Steffen +74 more
semanticscholar +1 more source
Navigating cognition: Spatial codes for human thinking
A framework for cognitive spaces Ever since Tolman's proposal of cognitive maps in the 1940s, the question of how spatial representations support flexible behavior has been a contentious topic. Bellmund et al.
Jacob L. S. Bellmund +3 more
semanticscholar +1 more source
STABILIZATION OF DETERMINISTICALLY CHAOTIC SYSTEMS BY INTERFERENCE AND QUANTUM MEASUREMENTS : THE IKEDA MAP CASE [PDF]
We propose a method which can effectively stabilize fixed points in the classical and quantum dynamics of a phase-sensitive chaotic system with feedback.
M. Fortunato +4 more
semanticscholar +1 more source
Global bifurcations close to symmetry [PDF]
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
Effects of an eccentric inner Jupiter on the dynamical evolution of icy body reservoirs in a planetary scattering scenario [PDF]
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
Spiralling dynamics near heteroclinic networks [PDF]
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]
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

