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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Luo, Albert C. J |
Two-dimensional??Self-independent Variable??Cubic Nonlinear Systems |
I13213 |
2024 |
eBook |
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| 2 |
Luo, Albert C. J |
Two-dimensional Product-Cubic Systems, Vol. I |
I13207 |
2024 |
eBook |
|
| 3 |
Luo, Albert C. J |
Two-Dimensional Quadratic Nonlinear Systems |
I12627 |
2023 |
eBook |
|
| 4 |
Luo, Albert C. J |
Two-Dimensional Quadratic Nonlinear Systems |
I11975 |
2021 |
eBook |
|
| 5 |
Luo, Albert C. J |
Galloping Instability to Chaos of Cables |
I09545 |
2017 |
eBook |
|
| 6 |
Luo, Albert C. J |
Bifurcation Dynamics in Polynomial Discrete Systems |
I09327 |
2020 |
eBook |
|
| 7 |
Luo, Albert C. J |
Bifurcation and Stability in Nonlinear Discrete Systems |
I09015 |
2020 |
eBook |
|
| 8 |
Luo, Albert C. J |
Complex Systems |
I07786 |
2012 |
eBook |
|
| 9 |
Luo, Albert C. J |
Nonlinear Deformable-body Dynamics |
I07616 |
2010 |
eBook |
|
| 10 |
Luo, Albert C. J |
Discontinuous Dynamical Systems on Time-varying Domains |
I07581 |
2009 |
eBook |
|
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1.
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| Title | Two-dimensional??Self-independent Variable??Cubic Nonlinear Systems |
| Author(s) | Luo, Albert C. J |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
| Description | X, 275 p. 33 illus., 32 illus. in color : online resource |
| Abstract Note | 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 Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems; Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-saddles; Develops homoclinic networks of source, sink and saddles |
| ISBN,Price | 9783031571121 |
| Keyword(s) | 1. Applied Dynamical Systems
2. DYNAMICS
3. EBOOK
4. EBOOK - SPRINGER
5. ENGINEERING MECHANICS
6. Mechanics, Applied
7. Multibody systems
8. Multibody Systems and Mechanical Vibrations
9. NONLINEAR THEORIES
10. PLASMA WAVES
11. VIBRATION
12. Waves, instabilities and nonlinear plasma dynamics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I13213 |
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On Shelf |
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2.
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| Title | Two-dimensional Product-Cubic Systems, Vol. I : Constant and Linear Vector Fields |
| Author(s) | Luo, Albert C. J |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
| Description | X, 250 p. 46 illus., 45 illus. in color : online resource |
| Abstract Note | 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. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations. Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields; Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow; Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow. |
| ISBN,Price | 9783031570926 |
| Keyword(s) | 1. Applied Dynamical Systems
2. Computational Science and Engineering
3. DYNAMICS
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MECHANICS
7. MATHEMATICS
8. Mechanics, Applied
9. Multibody systems
10. Multibody Systems and Mechanical Vibrations
11. NONLINEAR THEORIES
12. PLASMA WAVES
13. VIBRATION
14. Waves, instabilities and nonlinear plasma dynamics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I13207 |
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On Shelf |
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3.
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| Title | Two-Dimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields |
| Author(s) | Luo, Albert C. J |
| Publication | Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. |
| Description | XIII, 685 p. 121 illus., 84 illus. in color : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9789811678738 |
| Keyword(s) | 1. Applied Dynamical Systems
2. COMPLEX SYSTEMS
3. Control and Systems Theory
4. Control engineering
5. DIFFERENTIAL EQUATIONS
6. DYNAMICAL SYSTEMS
7. DYNAMICS
8. EBOOK - SPRINGER
9. NONLINEAR THEORIES
10. SYSTEM THEORY
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12627 |
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On Shelf |
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5.
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| Title | Galloping Instability to Chaos of Cables |
| Author(s) | Luo, Albert C. J;Yu, Bo |
| Publication | Singapore, Springer Singapore, 2017. |
| Description | X, 208 p. 35 illus : online resource |
| Abstract Note | This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables. They will also gain a better understanding of stable and unstable periodic motions and chaos in fluid-induced structural vibrations. Further, the results presented here will help engineers effectively??design and analyze fluid-induced vibrations |
| ISBN,Price | 9789811052422 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. DYNAMICAL SYSTEMS
3. DYNAMICS
4. EBOOK
5. EBOOK - SPRINGER
6. STATISTICAL PHYSICS
7. VIBRATION
8. Vibration, Dynamical Systems, Control
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09545 |
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On Shelf |
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6.
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| Title | Bifurcation Dynamics in Polynomial Discrete Systems |
| Author(s) | Luo, Albert C. J |
| Publication | Singapore, Springer Singapore, 2020. |
| Description | XI, 430 p. 68 illus., 66 illus. in color : online resource |
| Abstract Note | This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems |
| ISBN,Price | 9789811552083 |
| Keyword(s) | 1. COMPLEXITY
2. COMPUTATIONAL COMPLEXITY
3. Control and Systems Theory
4. Control engineering
5. DYNAMICAL SYSTEMS
6. Dynamical Systems and Ergodic Theory
7. DYNAMICS
8. EBOOK
9. EBOOK - SPRINGER
10. ERGODIC THEORY
11. VIBRATION
12. Vibration, Dynamical Systems, Control
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09327 |
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On Shelf |
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7.
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| Title | Bifurcation and Stability in Nonlinear Discrete Systems |
| Author(s) | Luo, Albert C. J |
| Publication | Singapore, Springer Singapore, 2020. |
| Description | X, 313 p. 43 illus., 16 illus. in color : online resource |
| Abstract Note | This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems |
| ISBN,Price | 9789811552120 |
| Keyword(s) | 1. COMPLEXITY
2. COMPUTATIONAL COMPLEXITY
3. Control and Systems Theory
4. Control engineering
5. DYNAMICAL SYSTEMS
6. Dynamical Systems and Ergodic Theory
7. DYNAMICS
8. EBOOK
9. EBOOK - SPRINGER
10. ERGODIC THEORY
11. VIBRATION
12. Vibration, Dynamical Systems, Control
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09015 |
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On Shelf |
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8.
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| Title | Complex Systems : Fractionality, Time-delay and Synchronization |
| Author(s) | Luo, Albert C. J;Sun, Jian-Qiao |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2012. |
| Description | 275 p. 110 illus., 10 illus. in color : online resource |
| Abstract Note | "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 as the new methods for differential delay systems and control. Lastly, a theoretical framework for the complexity and synchronization of complex system is presented. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. It can also serve as a reference book for graduate students in physics, applied mathematics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Jian-Qiao Sun is a Professor at the University of California, Merced, USA |
| ISBN,Price | 9783642175930 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. DYNAMICAL SYSTEMS
3. DYNAMICS
4. EBOOK
5. EBOOK - SPRINGER
6. STATISTICAL PHYSICS
7. SYSTEM THEORY
8. Systems Theory, Control
9. VIBRATION
10. Vibration, Dynamical Systems, Control
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07786 |
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On Shelf |
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9.
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| Title | Nonlinear Deformable-body Dynamics |
| Author(s) | Luo, Albert C. J |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. |
| Description | 430 p. 61 illus., 10 illus. in color : online resource |
| Abstract Note | "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 puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids |
| ISBN,Price | 9783642121364 |
| Keyword(s) | 1. Classical and Continuum Physics
2. CLASSICAL MECHANICS
3. COMPLEX SYSTEMS
4. Continuum physics
5. DYNAMICAL SYSTEMS
6. Dynamical Systems and Ergodic Theory
7. DYNAMICS
8. EBOOK
9. EBOOK - SPRINGER
10. ERGODIC THEORY
11. MECHANICS
12. Mechanics, Applied
13. Solid Mechanics
14. STATISTICAL PHYSICS
15. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07616 |
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On Shelf |
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10.
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| Title | Discontinuous Dynamical Systems on Time-varying Domains |
| Author(s) | Luo, Albert C. J |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. |
| Description | XI, 228 p : online resource |
| Abstract Note | "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 boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics. Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body |
| ISBN,Price | 9783642002533 |
| Keyword(s) | 1. Classical and Continuum Physics
2. Continuum physics
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK - SPRINGER
7. ERGODIC THEORY
8. MECHANICS
9. Mechanics, Applied
10. Theoretical and Applied Mechanics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07581 |
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On Shelf |
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