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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Akhmet, Marat |
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities |
I08930 |
2017 |
eBook |
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| 2 |
Akhmet, Marat |
Replication of Chaos in Neural Networks, Economics and Physics |
I08638 |
2016 |
eBook |
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| Title | Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities |
| Author(s) | Akhmet, Marat;Kashkynbayev, Ardak |
| Publication | Singapore, Springer Singapore, 2017. |
| Description | XI, 166 p. 31 illus., 26 illus. in color : online resource |
| Abstract Note | This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions of equations. The results obtained in this book can be applied to various fields such as neural networks, brain dynamics, mechanical systems, weather phenomena, population dynamics, etc. Without any doubt, bifurcation theory should be further developed to different types of differential equations. In this sense, the present book will be a leading one in this field. The reader will benefit from the recent results of the theory and will learn in the very concrete way how to apply this theory to differential equations with various types of discontinuity. Moreover, the reader will learn new ways to analyze nonautonomous bifurcation scenarios in these equations. The book will be of a big interest both for ??beginners and experts in the field. For the former group of specialists, that is, undergraduate and graduate students, the book will be useful since it provides a strong impression that bifurcation theory can be developed not only for discrete and continuous systems, but those which combine these systems in very different ways. The latter group of specialists will find in this book several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impacts, differential equations with piecewise constant arguments of generalized type and Filippov systems. A significant benefit of the present book is expected to be for those who consider bifurcations in systems with impulses since they are presumably nonautonomous systems |
| ISBN,Price | 9789811031809 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. Control and Systems Theory
3. Control engineering
4. Difference and Functional Equations
5. DIFFERENCE EQUATIONS
6. DIFFERENTIAL EQUATIONS
7. Dynamical Systems and Ergodic Theory
8. DYNAMICS
9. EBOOK
10. EBOOK - SPRINGER
11. ERGODIC THEORY
12. FUNCTIONAL EQUATIONS
13. ORDINARY DIFFERENTIAL EQUATIONS
14. STATISTICAL PHYSICS
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08930 |
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On Shelf |
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2.
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| Title | Replication of Chaos in Neural Networks, Economics and Physics |
| Author(s) | Akhmet, Marat;Fen, Mehmet Onur |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2016. |
| Description | XV, 457 p. 141 illus., 133 illus. in color : online resource |
| Abstract Note | This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics |
| ISBN,Price | 9783662475003 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. BIOMATHEMATICS
3. Difference and Functional Equations
4. DIFFERENCE EQUATIONS
5. EBOOK
6. EBOOK - SPRINGER
7. ECONOMIC THEORY
8. Economic Theory/Quantitative Economics/Mathematical Methods
9. FUNCTIONAL EQUATIONS
10. Mathematical and Computational Biology
11. MECHANICS
12. Mechanics, Applied
13. STATISTICAL PHYSICS
14. 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 |
| I08638 |
|
|
On Shelf |
|
|
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