Towards global models near homoclinic tangencies of dissipative diffeomorphisms Page 1
Nonlinearity Towards global models near homoclinic tangencies of dissipative diffeomorphisms …

A low-dimensional model of general circulation of the atmosphere is investigated. The
differential equations are subject to periodic forcing, where the period is one year. A three …

This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-
Smale systems in the space of all dynamical systems. These bifurcations provide a series of …

We consider 2D flows with a homoclinic figure-eight to a dissipative saddle. We study the
rich dynamics that such a system exhibits under a periodic forcing. First, we derive the …

Given a two-parameter family of three-dimensional diffeomorphisms\{f_ {a, b}\} _ {a, b}, with
a dissipative (but not sectionally dissipative) saddle fixed point, assume that a special type of …

We study bifurcations of periodic orbits in two parameter general unfoldings of a certain type
homoclinic tangency (called a generalized homoclinic tangency) to a saddle fixed point. We …

We explore the complicated dynamics arising in a neighbourhood of a homoclinic point
associated with a homoclinic bifurcation of a two-parameter family of three-dimensional …

We study bifurcations of periodic orbits in three parameter general unfoldings of certain
types quadratic homoclinic tangencies to saddle fixed points. We apply the rescaling …

We numerically analyse different kinds of one-dimensional and two-dimensional attractors
for the limit return map associated to the unfolding of homoclinic tangencies for a large class …

The research presented in this PhD thesis fits within the framework of nonlinear deterministic
dynamical systems depending on parameters. The work is divided into four Chapters, where …