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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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