منابع مشابه
Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reactiondiffusion systems
We present three examples of delayed bifurcations for spike solutions of reaction-diffusion systems. The delay effect results as the system passes slowly from a stable to an unstable regime, and was previously analyzed in the context of ODE’s in [P.Mandel and T.Erneux, J.Stat.Phys 48(5-6) pp.1059-1070, 1987]. It was found that the instability would not be fully realized until the system had ent...
متن کاملChaos induced by regular snap - back repellers ✩
This paper is concerned with chaos induced by regular snap-back repellers. One new criterion of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces is established. By employing this criterion, the nondegenerateness assumption in the Marotto theorem established in 1978 is weakened. In addition, it is proved that a regular snap-back repeller and a regular homoclinic ...
متن کاملLocalization of resonance eigenfunctions on quantum repellers.
We introduce a new phase space representation for open quantum systems. This is a very powerful tool to help advance in the study of the morphology of their eigenstates. We apply it to two different versions of a paradigmatic model, the baker map. This allows us to show that the long-lived resonances are strongly scarred along the shortest periodic orbits that belong to the classical repeller. ...
متن کاملHyperbolic repellers for algebraic functions
This paper deals with the iteration of algebraic functions, i.e. (in general) multivalued self maps of the Riemann sphere deened by z 7 ! w if P (z; w) = 0, where P is a polynomial in two complex variables. The notion of a hyperbolic repeller is introduced and illustrated by several examples. We prove that hyperbolic repellers are orbit stable under perturbations.
متن کاملChaotic Repellers in Antiferromagnetic Ising Model
For the first time we present the consideration of the antiferromagnetic Ising model in case of fully developed chaos and obtain the exact connection between this model and chaotic repellers. We describe the chaotic properties of this statistical mechanical system via the invariants characterizing a fractal set and show that in chaotic region it displays phase transition at positive ”temperatur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1987
ISSN: 0035-7596
DOI: 10.1216/rmj-1987-17-2-301