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Most popular at the top

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

    Wiley 2014; US$ 149.95

    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...

  • 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...

  • Dynamical System Synchronizationby Albert C. J. Luo

    Springer New York 2013; US$ 199.00

    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...

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

    World Scientific Publishing Company 2008; US$ 169.00

    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...

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

    Springer New York 2011; US$ 209.00

    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...

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

    Wiley 2014; US$ 149.95

    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 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...

  • Nonlinear Dynamics and Complexityby Valentin Afraimovich; Albert C. J. Luo; Xilin Fu

    Springer International Publishing 2013; US$ 119.00

    This notable collection covers the latest advances in nonlinear dynamics, taking in analytical solutions, chaos in Hamiltonian systems, time delay, uncertainty, and bio-network dynamics. It shows how to apply the mathematical theory to engineering practice. more...

  • System Dynamics with Interaction Discontinuityby Albert C. J. Luo; Dennis M. O'Connor

    Springer International Publishing 2015; US$ 99.00

    This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at the boundary in discontinuous dynamical systems. Based on such a theory, the authors address dynamics and motion mechanism of engineering discontinuous systems due to interaction. Stability and bifurcations... more...

  • Vibro-impact Dynamicsby Albert C. J. Luo; Yu Guo

    Wiley 2013; US$ 154.95

    Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis Comprehensive understanding of any vibro-impact system is critically impeded by the lack of analytical tools viable for properly characterizing grazing bifurcation. The authors establish vibro-impact dynamics as a subset of the theory of discontinuous... more...