One-dimensional dynamics has developed in the last decades into a subject in its own right.
Yet, many recent results are inaccessible and have never been brought together. For this …

Our aim is to show that the Julia-Fatou--Sullivan structure theory for the dynamics of rational
maps is also valid for smooth endomorphisms of the circle (and of the interval) under …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

The survey is devoted to the topological dynamics of maps defined on one-dimensional
continua such as a closed interval, a circle, finite graphs (for instance, finite trees), or …

The main purpose is to develop novel analytical techniques and provide a comprehensive
qualitative analysis of global dynamics for a state-dependent feedback control system …

Nonlinear difference equations, bifurcations and chaos: An introduction - ScienceDirect Skip to
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Beginning with Sir Isaac Newton, Differential Equations have many applications in natural
science and engineering. Mainly, mathematical models of this applications lead to nonlinear …

The paper solves the problem of modeling an outbreak of the species, which begins with the
achievement of a specific nontrivial state of a dynamic system. Population process is divided …

In this paper we will show that the assumption on the negative Schwarzian derivative is
redundant in the case of C3 unimodal maps with a nonflat critical point. The following …

Foliations is one of the major concepts of modern geometry and topology meaning a
partition of topological space into a disjoint sum of leaves. This book is devoted to geometry …