All ebooks by Albert C. J. Luo in PDF and EPUB
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All ebooks by Albert C. J. Luo in PDF and EPUB


45  Book(s)
Download this eBook Two-Dimensional Constant and Product Polynomial Systems
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Two-Dimensional Constant and Product Polynomial Systems


Albert C. J. Luo


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...

Publication date: 2025-08-01
Format: PDF, ePub
Publisher: Springer
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£149,50
Download this eBook Analytical Dynamics of Nonlinear Rotors
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Analytical Dynamics of Nonlinear Rotors


Jianzhe Huang , Albert C. J. Luo , Yeyin Xu


This book is a monograph about the analytical dynamics of nonlinear rotor systems. The analytical solutions of periodic motions in nonlinear rotor systems are presented in this book. To help one understand the analytical solutions, the generalized harmonic...

Publication date: 2025-04-28
Format: PDF, ePub
Publisher: Springer
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£149,50
Download this eBook Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems
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Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems


Albert C. J. Luo


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...

Publication date: 2025-04-17
Format: PDF, ePub
Publisher: Springer
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£139,99
Download this eBook Two-dimensional Crossing and Product Cubic Systems, Vol. II
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Two-dimensional Crossing and Product Cubic Systems, Vol. II


Albert C. J. Luo


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...

Publication date: 2025-03-29
Format: PDF, ePub
Publisher: Springer
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£139,50
Download this eBook Two-dimensional Crossing-Variable Cubic Nonlinear Systems
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Two-dimensional Crossing-Variable Cubic Nonlinear Systems


Albert C. J. Luo


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...

Publication date: 2025-02-11
Format: PDF, ePub
Publisher: Springer
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£129,50
Download this eBook Two-dimensional Crossing and Product Cubic Systems, Vol. I
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Two-dimensional Crossing and Product Cubic Systems, Vol. I


Albert C. J. Luo


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...

Publication date: 2025-01-29
Format: PDF, ePub
Publisher: Springer
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£139,50
Download this eBook 1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems
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1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems


Albert C. J. Luo


This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the...

Publication date: 2024-12-13
Format: PDF, ePub
Publisher: Springer
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£139,99
Download this eBook Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II
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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II


Albert C. J. Luo


This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity...

Publication date: 2024-11-19
Format: PDF, ePub
Publisher: Springer
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£139,99
Download this eBook Two-dimensional Self and Product Cubic Systems, Vol. I
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Two-dimensional Self and Product Cubic Systems, Vol. I


Albert C. J. Luo


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...

Publication date: 2024-11-15
Format: PDF, ePub
Publisher: Springer
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£139,99
Download this eBook Two-dimensional Product-cubic Systems, Vol.II
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Two-dimensional Product-cubic Systems, Vol.II


Albert C. J. Luo


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...

Publication date: 2024-11-11
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Self-independent Variable Cubic Nonlinear Systems
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Two-dimensional Self-independent Variable Cubic Nonlinear Systems


Albert C. J. Luo


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...

Publication date: 2024-11-07
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Two-product Cubic Systems, Vol I
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Two-dimensional Two-product Cubic Systems, Vol I


Albert C. J. Luo


This book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations...

Publication date: 2024-11-05
Format: PDF, ePub
Publisher: Springer
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£149,99
Download this eBook Two-dimensional Product-Cubic Systems, Vol. I
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Two-dimensional Product-Cubic Systems, Vol. I


Albert C. J. Luo


This book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions....

Publication date: 2024-10-31
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I
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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I


Albert C. J. Luo


This book is the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow...

Publication date: 2024-10-30
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Product-Cubic Systems, Vol. IV
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Two-dimensional Product-Cubic Systems, Vol. IV


Albert C. J. Luo


This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source...

Publication date: 2024-10-30
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Product Cubic Systems, Vol. VII
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Two-dimensional Product Cubic Systems, Vol. VII


Albert C. J. Luo


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...

Publication date: 2024-10-21
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Self and Product Cubic Systems, Vol. II
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Two-dimensional Self and Product Cubic Systems, Vol. II


Albert C. J. Luo


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...

Publication date: 2024-10-18
Format: PDF, ePub
Publisher: Springer
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£139,99
Download this eBook Two-dimensional Two Product Cubic Systems, Vol. III
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Two-dimensional Two Product Cubic Systems, Vol. III


Albert C. J. Luo


This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing...

Publication date: 2024-10-10
Format: PDF, ePub
Publisher: Springer
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Download this eBook Two-dimensional Two-product Cubic Systems Vol.II
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Two-dimensional Two-product Cubic Systems Vol.II


Albert C. J. Luo


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...

Publication date: 2024-07-24
Format: PDF, ePub
Publisher: Springer
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£149,99
Download this eBook Two-Dimensional Quadratic Nonlinear Systems
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Two-Dimensional Quadratic Nonlinear Systems


Albert C. J. Luo


This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions.This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of...

Publication date: 2023-04-19
Format: PDF, ePub
Publisher: Springer
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£139,99
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