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Most popular at the top

  • Regularity and Complexity in Dynamical Systemsby Albert C. J. Luo

    Springer New York 2011; Not Available

    Exploring periodic and chaotic behaviors in discontinuous dynamical systems, including impulsive, discontinuous, and switching systems, this book offers new concepts in discontinuous systems and the smoothening of discontinuity misleading dynamical behaviors. more...

  • Dynamical System Synchronizationby Albert C. J. Luo

    Springer New York 2013; Not Available

    This book presents the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems, detailing necessary conditions for dynamical systems synchronization through extensive mathematical expression. more...

  • Analytical Routes to Chaos in Nonlinear Engineeringby Albert C. J. Luo

    Wiley 2014; US$ 154.95

    Nonlinear problems are of interest to engineers, physicists and mathematicians and many other scientists because most systems are inherently nonlinear in nature. As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations. This works well up to some accuracy and some range for the input values, but... more...

  • Toward Analytical Chaos in Nonlinear Systemsby Albert C. J. Luo

    Wiley 2014; US$ 154.95

    Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of... more...

  • Global Transversality, Resonance and Chaotic Dynamicsby Albert C. J. Luo

    World Scientific Publishing Company 2008; US$ 180.00

    This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n -dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical... more...

  • Discretization and Implicit Mapping Dynamicsby Albert C. J. Luo

    Springer Berlin Heidelberg 2015; US$ 109.00

    This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through... more...

  • Singularity and Dynamics on Discontinuous Vector Fieldsby Albert C.J. Luo

    Elsevier Science 2006; US$ 215.00

    This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable... more...

  • Dynamical Systemsby Albert C.J. Luo

    Springer New York 2010; US$ 339.00

    Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system... more...

  • Nonlinear Deformable-body Dynamicsby Albert C.J. Luo

    Springer Berlin Heidelberg 2011; US$ 259.00

    Nonlinear Deformable-body Dynamics offers a self-contained introduction to the field, and aims to stimulate research in this area. Examples guide readers through the topics and theories discussed, making them accessible to a broad, interdisciplinary audience. more...

  • Global Analysis of Nonlinear Dynamicsby Jian-Qiao Sun; Albert C. J. Luo

    Springer New York 2012; US$ 209.00

    This book covers recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of UC Berkeley, California. more...