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  • Introduction to Infinite-Equilibriums in Dynamical Systems

    Series series Engineering (R0)
    This book examines infinite-equilibriums for the switching bifurcations of two 1-dimensional flows in dynamical systems. Quadratic single-linear-bivariate systems are adopted to discuss infinite-equilibriums in dynamical systems. For such quadratic dynamical systems, there are three types of infinite-equilibriums. The inflection-source and sink infinite-equilibriums are for the switching ... Read more

    $161.09 USD

  • Two-Dimensional Self and Product Polynomial Systems

    Series series Mathematics and Statistics (R0)
    This book is a monograph about hybrid networks of singular and non-singular, 1-dimensional flows and equilibriums in self and product polynomial systems. The higher-order singular 1-dimensional flows and singular equilibriums are for the appearing bifurcations of lower-order singular and non-singular 1-dimesnional flows and equilibriums. The infinite-equilibriums are the switching bifurcations for ... Read more

    $170.09 USD

  • Two-Dimensional Constant and Product Polynomial Systems

    Series series Mathematics and Statistics (R0)
    This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower ... Read more

    $170.09 USD

  • Two-dimensional Crossing and Product Polynomial Systems

    Series series Mathematics and Statistics (R0)
    This book is about hybrid networks of singular and non-singular, one-dimensional flows and equilibriums in crossing and product polynomial systems. The singular equilibriums and one-dimensional flows with infinite-equilibriums in product polynomial systems are presented in the theorem. The singular equilibriums are singular saddles and centers, parabola-saddles, and double-inflection-saddles. The ... Read more

    $170.09 USD

  • Two-dimensional Crossing and Product Cubic Systems, Vol. I

    Self-linear and Crossing-quadratic Product Vector Field

    Series series Engineering (R0)
    This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected ... Read more

    $152.09 USD

  • Two-dimensional Crossing and Product Cubic Systems, Vol. II

    Crossing-linear and Self-quadratic Product Vector Field

    Series series Engineering (R0)
    This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to ... Read more

    $179.09 USD

  • Two-dimensional Crossing-Variable Cubic Nonlinear Systems

    Series series Physics and Astronomy (R0)
    This book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one vector field is crossing-cubic, and the other vector field can be constant, crossing-linear, crossing-quadratic, and crossing-cubic. For constant vector fields, the dynamical systems possess 1-dimensional flows, such as parabola and inflection flows ... Read more

    $143.09 USD

  • Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems

    Series series Mathematics and Statistics (R0)
    This book is a monograph about limit cycles and homoclinic networks in polynomial systems. The study of dynamical behaviors of polynomial dynamical systems was stimulated by Hilbert’s sixteenth problem in 1900. Many scientists have tried to work on Hilbert's sixteenth problem, but no significant results have been achieved yet. In this book, the properties of equilibriums in planar polynomial ... Read more

    $161.99 USD

  • Two-dimensional Product-cubic Systems, Vol.II

    Product-quadratic Vector Fields

    This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola ... Read more

    $161.99 USD

  • Vibro-impact Dynamics

    Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysisComprehensive 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 systems, thus enabling all vibro-impact systems to be ... Read more

    $124.00 USD

  • Two-dimensional Product Cubic Systems, Vol. VII

    Self- Quadratic Vector Fields

    Series series Engineering (R0)
    This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the ... Read more

    $161.99 USD

  • Two-dimensional Self-independent Variable Cubic Nonlinear Systems

    This book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus ... Read more

    $152.99 USD