Two Dimensional Single Variable Cubic Nonlinear Systems Vol Vi

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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571152
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source and center are presented, and the networks of the hyperbolic flows with paralleled saddle and center are also illustrated. Readers will learn new concepts, theory, phenomena, and analysis techniques. Product-quadratic and product cubic systems Self-linear and crossing-quadratic product vector fields Self-quadratic and crossing-linear product vector fields Hybrid networks of equilibriums and 1-dimensional flows Up-down and down-up saddle infinite-equilibriums Up-down and down-up sink-to-source infinite-equilibriums Inflection-source (sink) Infinite-equilibriums Diagonal inflection saddle infinite-equilibriums Infinite-equilibrium switching bifurcations

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571077
Total Pages : 0 pages
Book Rating : 4.5/5 (71 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571114
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III written by Albert C. J. Luo and published by Springer. This book was released on 2024-06-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 third-order source and sink flows. For self-linear and self-cubic systems discussed, the dynamical systems possess source, sink and saddle equilibriums, saddle-source and saddle-sink, third-order sink and source (i.e, (3rd SI:SI)-sink and (3rdSO:SO)-source) and third-order source (i.e., (3rd SO:SI)-saddle, (3rd SI, SO)-saddle) . For self-quadratic and self-cubic systems, in addition to the first and third-order sink, source and saddles plus saddle-source and saddle-sink, there are (3:2)-saddle-sink and (3:2) saddle-source and double-saddles. For the two self-cubic systems, (3:3)-source, sink and saddles exist. Finally, the author describes that homoclinic orbits without centers can be formed, and the corresponding homoclinic networks of source, sink and saddles exists. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations

Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031628092
Total Pages : 0 pages
Book Rating : 4.6/5 (28 download)

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Book Synopsis Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV by : Albert C. J. Luo

Download or read book Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV written by Albert C. J. Luo and published by Springer. This book was released on 2024-08-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 plus third-order parabola flows. For crossing-linear and crossing-cubic systems, the dynamical systems possess saddle and center equilibriums, parabola-saddles, third-order centers and saddles (i.e, (3rd UP+:UP+)-saddle and (3rdUP-:UP-)-saddle) and third-order centers (i.e., (3rd DP+:DP-)-center, (3rd DP-, DP+)-center) . For crossing-quadratic and crossing-cubic systems, in addition to the first and third-order saddles and centers plus parabola-saddles, there are (3:2)parabola-saddle and double-inflection saddles, and for the two crossing-cubic systems, (3:3)-saddles and centers exist. Finally,the homoclinic orbits with centers can be formed, and the corresponding homoclinic networks of centers and saddles exist. Readers will learn new concepts, theory, phenomena, and analytic techniques, including · Constant and crossing-cubic systems · Crossing-linear and crossing-cubic systems · Crossing-quadratic and crossing-cubic systems · Crossing-cubic and crossing-cubic systems · Appearing and switching bifurcations · Third-order centers and saddles · Parabola-saddles and inflection-saddles · Homoclinic-orbit network with centers · Appearing bifurcations

Two-Dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher :
ISBN 13 : 9789811678745
Total Pages : 0 pages
Book Rating : 4.6/5 (787 download)

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Book Synopsis Two-Dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-Dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert's sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.

Two-dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher :
ISBN 13 : 9788981167868
Total Pages : 0 pages
Book Rating : 4.1/5 (678 download)

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Book Synopsis Two-dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Special Topics in Structural Dynamics, Volume 6

Author : Gary Foss
Publisher : Springer Science & Business
ISBN 13 : 3319047299
Total Pages : 418 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Special Topics in Structural Dynamics, Volume 6 by : Gary Foss

Download or read book Special Topics in Structural Dynamics, Volume 6 written by Gary Foss and published by Springer Science & Business. This book was released on 2014-04-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sixth volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data

Some Problems On Nonlinear Hyperbolic Equations And Applications

Author : Tatsien Li
Publisher : World Scientific
ISBN 13 : 981446404X
Total Pages : 464 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Some Problems On Nonlinear Hyperbolic Equations And Applications by : Tatsien Li

Download or read book Some Problems On Nonlinear Hyperbolic Equations And Applications written by Tatsien Li and published by World Scientific. This book was released on 2010-09-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.

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

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031570995
Total Pages : 0 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Two-dimensional Self and Product Cubic Systems, Vol. II by : Albert C. J. Luo

Download or read book Two-dimensional Self and Product Cubic Systems, Vol. II written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center).

Nonlinear Analysis

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 146143498X
Total Pages : 898 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Analysis by : Panos M. Pardalos

Download or read book Nonlinear Analysis written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-06-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

Selected Water Resources Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Selected Water Resources Abstracts by :

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1980 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Aerospace Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1991 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 964 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1974 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Water Resources Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Selected Water Resources Abstracts by :

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1979 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Intelligent Human Computer Interaction

Author : Madhusudan Singh
Publisher : Springer Nature
ISBN 13 : 3030684490
Total Pages : 526 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Intelligent Human Computer Interaction by : Madhusudan Singh

Download or read book Intelligent Human Computer Interaction written by Madhusudan Singh and published by Springer Nature. This book was released on 2021-02-05 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 12615 + 12616 constitutes the refereed proceedings of the 12th International Conference on Intelligent Human Computer Interaction, IHCI 2020, which took place in Daegu, South Korea, during November 24-26, 2020. The 75 full and 18 short papers included in these proceedings were carefully reviewed and selected from a total of 185 submissions. The papers were organized in topical sections named: cognitive modeling and system; biomedical signal processing and complex problem solving; natural language, speech, voice and study; algorithm and related applications; crowd sourcing and information analysis; intelligent usability and test system; assistive living; image processing and deep learning; and human-centered AI applications.