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In recent years, enormous progress has been made on nonlinear
dynamics particularly on chaos and complex phenomena. This unique
volume presents the advances made in theory, analysis, numerical
simulation and experimental realization, promising novel practical
applications on various topics of current interest on chaos and
related fields of nonlinear dynamics.Particularly, the focus is on
the following topics: synchronization vs. chaotic phenomena, chaos
and its control in engineering dynamical systems, fractal-based
dynamics, uncertainty and unpredictability measures vs. chaos,
Hamiltonian systems and systems with time delay, local/global
stability, bifurcations and their control, applications of machine
learning to chaos, nonlinear vibrations of lumped mass
mechanical/mechatronic systems (rigid body and coupled oscillator
dynamics) governed by ODEs and continuous structural members
(beams, plates, shells) vibrations governed by PDEs, patterns
formation, chaos in micro- and nano-mechanical systems, chaotic
reduced-order models, energy absorption/harvesting from chaotic,
chaos vs. resonance phenomena, chaos exhibited by discontinuous
systems, chaos in lab experiments.The present volume forms an
invaluable source on recent trends in chaotic and complex dynamics
for any researcher and newcomers to the field of nonlinear
dynamics.
Geometric moire is a classical optical experimental technique used
for full-field, non-contact measurement of displacements and
strains. Geometric moire has been overshadowed by finite element
method over the past three decades. However, new developments and
applications, such as low-cost dynamic double exposure moire, moire
applications in stereolitography, etc., have revived the use of
experimental geometric moire. A number of new significant questions
appear when time-average geometric moire techniques are being
applied for scientific and engineering problems. Digital image
processing, mathematical and statistical analysis, special
numerical methods and elements of chaos theory help to extend the
limits of optical experimental time-average moire techniques.
Time-average stochastic moire, time-average super-moire,
applicability of time-average geometric moire for chaotic
oscillations, new quadrature rules for the construction of
time-averaged moire fringes in real time mode are main results
presented in this book. It will be useful for graduate students,
researchers and scientists working in the areas of modeling and
applications of geometric moire.
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