ar X iv : c ha o - dy n / 96 08 01 0 v 1 9 A ug 1 99 6 Why air bubbles in water glow so easily

ar X iv : c ha o - dy n / 96 06 01 6 v 1 1 J ul 1 99 6 Hopf ’ s last hope : spatiotemporal chaos in terms of unstable recurrent patterns

Spatiotemporally chaotic dynamics of a Kuramoto-Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemporally periodic solutions. An intrinsic parametrization of the corresponding invariant set serves as accurate guide to the high-dimensional dynamics, and the periodic orbit theory yields several global averages characterizing the chaotic dynamics.

ar X iv : c ha o - dy n / 96 01 01 7 v 1 24 J an 1 99 6 Tools for Nonlinear Analysis : I . Unfolding of Dynamical Systems

Automated algorithms for derivation of amplitude equations in the vicinity of monotonic and Hopf bifurcation manifolds are presented. The implementation is based on Mathematica programming, and is illustrated by several examples.

ar X iv : c ha o - dy n / 99 10 00 5 v 1 6 O ct 1 99 9 The Finite - Difference Analysis and Time Flow

ar X iv : h ep - p h / 99 08 23 9 v 1 4 A ug 1 99 9 Expansion of true vacuum bubbles at the end of inflation

A dynamic of a false vacuum decay is investigated at the end of inflation. It is shown that a creation of a new phase is mainly stimulated by temperature fluctuations. Moving walls of O(3) symmetrical bubbles interact weakly with their surrounding at the inflation stage. Large field fluctuations might arise as a result of a collision of the walls.

ar X iv : h ep - p h / 99 08 23 9 v 2 9 A ug 1 99 9 Expansion of true vacuum bubbles at the end of inflation

A dynamic of a false vacuum decay is investigated at the end of inflation. It is shown that a creation of a new phase is mainly stimulated by temperature fluctuations. Moving walls of O(3) symmetrical bubbles interact weakly with their surrounding at the inflation stage. Large field fluctuations might arise as a result of a collision of the walls.