J ul 2 00 4 STATISTICAL STABILITY OF SADDLE - NODE ARCS
نویسنده
چکیده
We study the dynamics of generic unfoldings of saddle-node circle local diffeomorphisms from the measure theoretical point of view, obtaining statistical stability results for deterministic and random perturbations in these kind of one-parameter families. In particular we show that the map is uniformly expanding for all parameters close enough to the parameter of the saddle-node and have positive Lyapunov exponent uniformly bounded away from zero.
منابع مشابه
ar X iv : m at h / 04 07 11 4 v 1 [ m at h . D S ] 8 J ul 2 00 4 STATISTICAL STABILITY OF SADDLE - NODE ARCS
We study the dynamics of generic unfoldings of saddle-node circle local diffeomorphisms from the measure theoretical point of view, obtaining statistical stability results for deterministic and random perturbations in these kind of one-parameter families. In the process we characterize the asymptotic dynamics of Lebesgue almost every point for maps f near the bifurcation value and obtain equili...
متن کاملar X iv : m at h / 04 07 11 4 v 4 [ m at h . D S ] 3 0 N ov 2 00 5 STATISTICAL STABILITY OF SADDLE - NODE ARCS
We study the dynamics of generic unfoldings of saddle-node circle local diffeomorphisms from the measure theoretical point of view, obtaining statistical and stochastic stability results for deterministic and random perturbations in this kind of one-parameter families. CONTENTS
متن کاملar X iv : m at h / 04 07 11 4 v 3 [ m at h . D S ] 2 4 Ja n 20 05 STATISTICAL STABILITY OF SADDLE - NODE ARCS
We study the dynamics of generic unfoldings of saddle-node circle local diffeo-morphisms from the measure theoretical point of view, obtaining statistical and stochastic stability results for deterministic and random perturbations in this kind of one-parameter families.
متن کاملNo stability switching at saddle-node bifurcations of solitary waves in generalized nonlinear Schrödinger equations.
Saddle-node bifurcations arise frequently in solitary waves of diverse physical systems. Previously it was believed that solitary waves always undergo stability switching at saddle-node bifurcations, just as in finite-dimensional dynamical systems. Here we show that this is not true. For a large class of generalized nonlinear Schrödinger equations with real or complex potentials, we prove that ...
متن کاملar X iv : 0 80 4 . 32 25 v 2 [ m at h . SG ] 3 J ul 2 00 9 STABILITY FUNCTIONS
In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to various types of asymptotic problems in the Kähler geometry of GIT quotients. We discuss several particular classes of examples, namely, toric varieties, spherical varieties and the symplectic version of quiver varieties.
متن کامل