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Showing 1 - 12 of 56 results for “albert c j luo”
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  • Introduction to Infinite-Equilibriums in Dynamical Systems

    by Albert C.J Luo ...
    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

    $205.99 CAD

  • Two-Dimensional Self and Product Polynomial Systems

    by Albert C. J. Luo ...
    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

    $205.99 CAD

  • Two-dimensional Crossing and Product Polynomial Systems

    by Albert C. J. Luo ...
    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

    $205.99 CAD

  • Two-Dimensional Constant and Product Polynomial Systems

    by Albert C. J. Luo ...
    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

    $205.99 CAD

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

    Self-linear and Crossing-quadratic Product Vector Field

    by Albert C. J. Luo ...
    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

    $192.99 CAD

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

    Crossing-linear and Self-quadratic Product Vector Field

    by Albert C. J. Luo ...
    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

    $218.99 CAD

  • Two-dimensional Crossing-Variable Cubic Nonlinear Systems

    by Albert C. J. Luo ...
    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

    $179.99 CAD

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

    by Albert C. J. Luo ...
    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

    $205.99 CAD

  • Single Linear-Bivariate Cubic Systems

    by Albert C J Luo ...
    Series Book 6 - Series on Complexity, Nonlinearity and Chaos
    This book is about the nonlinear dynamics of single linear-bivariate cubic dynamical systems. For such cubic dynamical systems, the inflection-flows and third-order parabola flows exist for appearing bifurcations. The inflection-flows are for appearing bifurcations of two parabola flows on the same direction. The third-order parabola flows are for the appearing bifurcation of inflection and ... Read more

    $142.99 CAD

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

    Self-linear and Crossing-quadratic Product Vector Field

    by Albert C. J. Luo ...
    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

    $205.99 CAD

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

    Crossing-linear and Self-quadratic Product Vector Field

    by Albert C. J. Luo ...
    Series series Engineering (R0)
    This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles ... Read more

    $231.99 CAD

  • Two-dimensional Two-product Cubic Systems Vol. II

    Crossing-linear and Self-quadratic Product Vector Fields

    by Albert C. J. Luo ...
    Series series Engineering (R0)
    This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle ... Read more

    $231.99 CAD