| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910300117303321 |
|
|
Autore |
Artés Joan C |
|
|
Titolo |
Structurally Unstable Quadratic Vector Fields of Codimension One / / by Joan C. Artés, Jaume Llibre, Alex C. Rezende |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2018.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (VI, 267 p. 362 illus., 1 illus. in color.) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differential equations |
Dynamical systems |
Differential Equations |
Dynamical Systems |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
Introduction -- Preliminary definitions -- Some preliminary tools -- A summary for the structurally stable quadratic vector fields -- Proof of Theorem 1.1(a) -- Proof of Theorem 1.1(b) -- Bibliography. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors’ work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them. . |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910484721103321 |
|
|
Autore |
Liu Shu Tang |
|
|
Titolo |
Fractal Control and Its Applications / / by Shu Tang Liu, Yong Ping Zhang, Chang An Liu |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2020 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2020.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (364 pages) : illustrations |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Control engineering |
Signal processing |
Control and Systems Theory |
Digital and Analog Signal Processing |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
Introduction -- New Characteristics about the Fractal Control Theory -- Fractal Control and Synchronization of Classical Model -- Control and Synchronization of Julia Sets Generated by a Class of Complex Time-Delay Rational MAP -- Control and Synchronization of Spatial Fractals -- Fractal Phenomena and Control in Economical Models -- Control of Julia Sets in Complex Physical Systems -- Applications of Fractal Control in Biologies -- Control of the Thermal Fractal Diffusion Systems -- Fractal Analysis and Control of the SIRS Models -- Application of Fractal Control in Other Fields -- References. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems. Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions |
|
|
|
|
|
|
|
|
|
|
in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications. |
|
|
|
|
|
| |