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Most popular at the top

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

    Springer 2011; US$ 269.00

    "Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical... more...

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

    Springer 2011; US$ 179.00

    Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive,discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years,... more...

  • Discontinuous Dynamical Systems on Time-varying Domainsby Albert C. J. Luo

    Springer 2009; US$ 249.00

    Discontinuous Dynamical Systems on Time-varying Domains is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying... more...

  • Dynamical System Synchronizationby Albert C. J. Luo

    Springer 2012; US$ 179.00

    Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques... more...

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

    World Scientific Publishing Company 2008; US$ 292.00

    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...

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

    Wiley 2014; US$ 157.95

    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$ 157.95

    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...

  • Hamiltonian Chaos Beyond the KAM Theoryby Albert C. J. Luo; Valentin Afraimovich

    Springer Fachmedien 2011; US$ 179.00

    "Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935 - 2008)" covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter... more...

  • Complex Systemsby Albert C. J. Luo; Jian-Qiao Sun

    Springer 2011; US$ 159.00

    "Complex Systems: Fractionality, Time-delay and Synchronization" covers the most recent developments and advances in the theory and application of complex systems in these areas. Each chapter was written by scientists highly active in the field of complex systems. The book discusses a new treatise on fractional dynamics and control, as well... more...