Results 11 to 20 of about 33,343 (93)

Adaptive Complex Contagions and Threshold Dynamical Systems [PDF]

, 2013
A broad range of nonlinear processes over networks are governed by threshold dynamics. So far, existing mathematical theory characterizing the behavior of such systems has largely been concerned with the case where the thresholds are static.
Chang, Leon, Cochran, Jeffrey, Mortveit, Henning S., Raval, Siddharth, Schroeder, Matthew   +4 more
core  

Open circle maps: Small hole asymptotics

, 2012
We consider escape from chaotic maps through a subset of phase space, the hole. Escape rates are known to be locally constant functions of the hole position and size.
Dettmann, Carl
core   +1 more source

Dynamical analysis of the Gliese-876 Laplace resonance [PDF]

, 2013
The existence of multiple planetary systems involved in mean motion conmensurabilities has increased significantly since the Kepler mission. Although most correspond to 2-planet resonances, multiple resonances have also been found.
Beauge, C., Giuppone, C. A., Marti, J. G.   +2 more
core   +3 more sources

Orbital configurations and dynamical stability of multi-planet systems around Sun-like stars HD 202206, 14 Her, HD 37124 and HD 108874 [PDF]

, 2005
We perform a dynamical analysis of the recently published radial velocity (RV) measurements of a few solar type stars which host multiple Jupiter-like planets. In particular, we re-analyze the data for HD 202206, 14 Her, HD 37124 and HD 108874. We derive
Gozdziewski, Krzysztof, Konacki, Maciej, maciejewski, Andrzej J.   +2 more
core   +2 more sources

Simultaneous Border-Collision and Period-Doubling Bifurcations

, 2009
We unfold the codimension-two simultaneous occurrence of a border-collision bifurcation and a period-doubling bifurcation for a general piecewise-smooth, continuous map.
Angulo F., Berberian S. K., D. J. W. Simpson, di Bernardo M., Guckenheimer J., J. D. Meiss, Kolman B., Robinson R. C.   +7 more
core   +1 more source

Non-recurrence sets for weakly mixing linear dynamical systems

, 2012
We study non-recurrence sets for weakly mixing dynamical systems by using linear dynamical systems. These are systems consisting of a bounded linear operator acting on a separable complex Banach space X, which becomes a probability space when endowed ...
de Mathan, Jamison, Pollington, SOPHIE GRIVAUX   +3 more
core   +1 more source

Miquel dynamics for circle patterns

, 2018
We study a new discrete-time dynamical system on circle patterns with the combinatorics of the square grid. This dynamics, called Miquel dynamics, relies on Miquel's six circles theorem.
Ramassamy, Sanjay
core   +1 more source

Herman's Theory Revisited

, 2007
We prove that a $C^{2+\alpha}$-smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class $D_\delta ...
A. Teplinsky, A. Teplinsky, G. Świa̧tek, J.-C. Yoccoz, J.-C. Yoccoz, J.-C. Yoccoz, K. Khanin, K.M. Khanin, M.-R. Herman, O.Yu. Teplinsky, V.I. Arnold, W. Melo de, Y. Katznelson, Y. Katznelson, Ya. Sinai, Ya.G. Sinai   +15 more
core   +2 more sources

Weakly nonlinear non-symmetric gravity waves on water of finite depth [PDF]

, 1987
A weakly nonlinear Hamiltonian model for two-dimensional irrotational waves on water of finite depth is developed. The truncated model is used to study families of periodic travelling waves of permanent form. It is shown that non-symmetric periodic waves
Zufiria, J. A.
core  

Rotation intervals and entropy on attracting annular continua

, 2017
We show that if $f$ is an annular homeomorphism admitting an attractor which is an irreducible annular continua with two different rotation numbers, then the entropy of $f$ is positive.
Passeggi, Alejandro, Potrie, Rafael, Sambarino, Martín   +2 more
core   +1 more source