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2017 | Buch

Introduction Kapitel lesen Erstes Kapitel lesen

Systems with Hidden Attractors

From Theory to Realization in Circuits

verfasst von: Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak

Verlag: Springer International Publishing

Buchreihe : SpringerBriefs in Applied Sciences and Technology

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

This brief provides a general overview of nonlinear systems that exhibit hidden-attractor behavior, a topic of interest in subjects as divers as physics, mechanics, electronics and secure communications. The brief is intended for readers who want to understand the concepts of the hidden attractor and hidden-attractor systems and to implement such systems experimentally using common electronic components. Emergent topics in circuit implementation of systems with hidden attractors are included. The brief serves as an up-to-date reference on an important research topic for undergraduate/graduate students, laboratory researchers and lecturers in various areas of engineering and physics.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Abstract
In this introductory chapter, the concept of systems with hidden attractors in contrast to the well-known systems with self-excited attractors is discussed. Also, the subject of numerical localization of hidden attractors as well as the control and synchronization concepts are briefly presented. The usefulness of this kind of systems in applied sciences through various well-known examples and the families of system with hidden attractors are discussed.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Chapter 2. Systems with Stable Equilibria
Abstract
After a recent striking discovery of Wang–Chen system with only one stable equilibrium, various systems with stable equilibria have been investigated. The aim of this chapter is to present such rare systems. In addition, we consider how to find and construct systems having stable equilibrium.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Chapter 3. Systems with an Infinite Number of Equilibrium Points
Abstract
Another interesting class of systems with hidden attractors is those systems that have an infinite number of equilibria. Therefore, this chapter presents a gallery of systems, which belongs to the aforementioned class of systems with hidden attractors.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Chapter 4. Systems Without Equilibrium
Abstract
It is now well established from a variety of studies that there is the presence of equilibrium points in normal dynamical systems. However, researchers have shown an increased interest in the absence of equilibrium points in a few rare systems recently. This chapter presents the special class of new systems without equilibrium.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Chapter 5. Synchronization of Systems with Hidden Attractors
Abstract
Previous research has established that synchronization is important in nature as well as in engineering applications. Synchronization is a universal phenomenon and is observed in various areas from physics, biology to economics, etc. Recent developments in nonlinear dynamics have heightened the need for synchronizing systems. This chapter presents the synchronization of systems with hidden attractors.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Chapter 6. Circuitry Realization
Abstract
Previous chapters reported numerous theoretical systems with hidden attractors. Realization of such systems is a vital topic, which is also the aim of this chapter. After a brief introduction about basic electronic components, various circuital implementations of systems with hidden attractors are presented.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Chapter 7. Concluding Remarks
Abstract
After considering different systems with hidden attractors in previous chapters, conclusion remarks are presented in this chapter.
Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak
Backmatter
Metadaten
Titel
Systems with Hidden Attractors
verfasst von
Viet-Thanh Pham
Christos Volos
Tomasz Kapitaniak
Copyright-Jahr
2017
Electronic ISBN
978-3-319-53721-4
Print ISBN
978-3-319-53720-7
DOI
https://doi.org/10.1007/978-3-319-53721-4

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