... cette etude qualitative (des equations difj'erentielles) aura par elle-m me un inter t du
premier ordre... HENRI POINCARE, 1881. We present in this book a view of the Geometric …

From the reviews:" This book is concerned with the application of methods from dynamical
systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a …

Several distinctive aspects make Dynamical Systems unique, including: treating the subject
from a mathematical perspective with the proofs of most of the results includedproviding a …

The goal of these notes is to give a reasonahly com plete, although not exhaustive,
discussion of what is commonly referred to as the Hopf bifurcation with applications to spe …

The plan to publish the present book arose while I was preparing a joint work with Gunter
Gabisch (Gabisch, G./Lorenz, H.-W.: Business Cycle Theory. Berlin-Heidelberg-New York …

The present paper deals with a prey–predator model with prey refuge in proportion to both
species, and the independent harvesting of each species. Our study shows that using refuge …

This book is devoted to the interplay between complex and symplectic geometry in affine
complex manifolds. Affine complex (aka Stein) manifolds have canonically built into them …

The stability and bifurcation analysis for a predator–prey system with the nonlinear Michaelis–
Menten type predator harvesting are taken into account. The existence and stability of …

In broad terms, the goal of dynamics is to describe the long-term evolution of systems for
which an" infinitesimal" evolution rule, such as a differential equation or the iteration of a …

Several recent major power system blackouts are characterised by a progressive decline in
voltage magnitude at the system buses. These events are termed 'voltage collapses'. The …