Mathematical Problems in Engineering
Special Issue on
Modeling Experimental Nonlinear Dynamics and
Chaotic Scenarios
Call for Papers
Thinking about nonlinearity in engineering areas, up to the
70s, was focused on intentionally built nonlinear parts in
order to improve the operational characteristics of a device
or system. Keying, saturation, hysteretic phenomena, and
dead zones were added to existing devices increasing their
behavior diversity and precision. In this context, an intrinsic
nonlinearity was treated just as a linear approximation,
around equilibrium points.
Inspired on the rediscovering of the richness of nonlinear
and chaotic phenomena, engineers started using analytical
tools from “Qualitative Theory of Differential Equations,”
allowing more precise analysis and synthesis, in order to
produce new vital products and services. Bifurcation theory,
dynamical systems and chaos started to be part of the
mandatory set of tools for design engineers.
This proposed special edition of the Mathematical Problems in Engineering aims to provide a picture of the importance of the bifurcation theory, relating it with nonlinear
and chaotic dynamics for natural and engineered systems.
Ideas of how this dynamics can be captured through precisely
tailored real and numerical experiments and understanding
by the combination of specific tools that associate dynamical
system theory and geometric tools in a very clever, sophisticated, and at the same time simple and unique analytical
environment are the subject of this issue, allowing new
methods to design high-precision devices and equipment.
Authors should follow the Mathematical Problems in
Engineering manuscript format described at http://www
.hindawi.com/journals/mpe/. Prospective authors should
submit an electronic copy of their complete manuscript
through the journal Manuscript Tracking System at http://
mts.hindawi.com/ according to the following timetable:
Manuscript Due
February 1, 2009
First Round of Reviews
May 1, 2009
Publication Date
August 1, 2009
Guest Editors
José Roberto Castilho Piqueira, Telecommunication and
Control Engineering Department, Polytechnic School, The
University of São Paulo, 05508-970 São Paulo, Brazil;
Elbert E. Neher Macau, Laboratório Associado de
Matemática Aplicada e Computação (LAC), Instituto
Nacional de Pesquisas Espaciais (INPE), São Josè dos
Campos, 12227-010 São Paulo, Brazil ; elbert@lac.inpe.br
Celso Grebogi, Department of Physics, King’s College,
University of Aberdeen, Aberdeen AB24 3UE, UK;
Hindawi Publishing Corporation