2 edition of **Chaotic oscillators** found in the catalog.

Chaotic oscillators

- 395 Want to read
- 24 Currently reading

Published
**1992**
by World Scientific in Singapore
.

Written in English

- Chaotic behavior in systems.

**Edition Notes**

Statement | edited by Tomasz Kapitaniak. |

Contributions | Kapitaniak, Tomasz. |

Classifications | |
---|---|

LC Classifications | Q"172.5"C45"C45"1992 |

The Physical Object | |

Pagination | xv, 650 p. : |

Number of Pages | 650 |

ID Numbers | |

Open Library | OL21012678M |

ISBN 10 | 9810206542, 981 |

LC Control Number | 91011836 |

This book reports on the latest advances in and applications of memristors, memristive devices and systems. It gathers 20 contributed chapters by subject experts, including pioneers in the field such as Leon Chua (UC Berkeley, USA) and R.S. Williams (HP Labs, USA), who are specialized in the various topics addressed in this book, and covers broad areas of memristors and memristive devices such. This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance.

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that Price: $ We study synchronization of two chaotic oscillators in a master-slave configuration. The two dynamic systems are coupled via a directed feedback that randomly switches among a finite set of given constant functions at a prescribed time rate.

In chapter three of “Elegant Chaos: Algebraically Simple flow” book published in , Sprott proposed a list of sixteen autonomous chaotic jerk oscillators with different nonlinearities called memory oscillators. The nonlinearities of memory oscillators include quadratic, cubic, quintic, absolute, maximum, sign, exponential, sine, and. A simple approach is proposed in this chapter to get started on the synchronization of oscillators study. The basics are given in the beginning such that the reader can get quickly familiar with the main concepts which lead to many kinds of synchronization configurations. Chaotic synchronization is.

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Chua's circuit (also known as a Chua circuit) is a simple electronic circuit that exhibits classic chaotic behavior. This means roughly that it is a "nonperiodic oscillator"; it produces an oscillating waveform that, unlike an ordinary electronic oscillator, never "repeats".It was invented in by Leon O.

Chua, who was a visitor at Waseda University in Japan at that time. However, synchronization of coupled or driven chaotic oscillators is a phenomenon well established experimentally and reasonably well-understood theoretically. The stability of synchronization for coupled systems can be analyzed using master stability.

Synchronization of chaos is a rich phenomenon and a Chaotic oscillators book subject with a broad. Chaotic Oscillators: Theo has been added to your Cart Add to Cart. Buy Now See all 2 formats and editions Hide other formats and editions. Price New from Used from Hardcover "Please retry" $ $ $ Paperback "Please retry" $ — $ Format: Hardcover.

see some universality behind the construction of chaotic oscillators, because we are not interested in the concrete physical interpretation of the individual state variables. For example, chaos was recently reported in the sci-entific fields such as chemistry, mechanics, economy, biol-ogy, etc.

For lumped electronic circuit, the necessary con. This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits.

Books shelved as chaotic: Chaos: An Introduction to Dynamical Systems by Kathleen T. Alligood, Nonlinear Dynamics and Chaos: With Applications to Physics. home reference library technical articles semiconductors chapter 1: chaotic oscillators - design principles Chaos In Circuits And Systems With a combination of overview, tutorial and technical articles, this book describes state-of-the-art research on significant problems in the field of chaos in circuits and systems.

Chaotic Synchronization | Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher.

Phase Synchronization of Chaotic Oscillators Article (PDF Available) in Physical Review Letters 76(11) April with 1, Reads How we measure 'reads'. This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators.

Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.

A SIMPLER CHAOTIC OSCILLATOR. REMEMBERING CHUA’S CIRCUIT In our previous work, we learned that Chua’s Circuit is a chaotic oscillator.

In its fundamental form, Chua’s Circuit requires an inductor, two capacitors, plus a linear resistor and a non-linear resistor. Two op-amps and several more linear resistors are required to implement. Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering.

In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational book is Format: Hardcover.

Fractional-order chaotic oscillators are a hot topic of research and nowadays many new mathematical models have been introduced, which can be suitable for the development of novel applications in. This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators.

Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. When implemented as an electronic circuit, the corresponding chaotic signal can be controlled by two independent potentiometers, which is convenient for constructing a chaos-based application system.

To the best of our knowledge, this class of chaotic oscillators has never been reported. Using this methodology, many chaotic oscillators have been reported, for example, chaotic Wien-bridge oscillator, Ref.

[21] single amplifier bi-quad-based inductor-free Chua's circuit [22], current feedback op amp-based chaotic oscillators [23], three–dimensional chaotic autonomous system with a circular equilibrium [24], chaotic Lu system.

Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems.

Furthermore, it offers an array of new. Download proceedings of the enea workshops on nonlinear dynamics or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get proceedings of the enea workshops on nonlinear dynamics book now. This site is like a library, Use search box in the widget to get ebook that you want. Harmonic Oscillator. A large portion of the first two chapters of this book dealt with the behavior of discrete dynamical systems, in particular, the family of quadratic mappings.

Three basic types of behavior were observed: fixed, periodic, and chaotic (or ergodic). An electronic oscillator is an electronic circuit that produces a periodic (often a sine wave, a square wave, or a pulse trains) or a non-periodic (a double-mode wave or a chaotic wave) oscillating electronic signal.

Oscillators convert direct current from a power supply to an alternating current signal, and are widely used in many electronic devices. Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.

As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and second book consists of two chapters (chapters 3 and 4 of the set).A simple chaotic oscillator for educational purposes 63 Figure 2. Bifurcationdiagramfromequation(4),almaximax m ofthevariablex(t)versus control parameter a (left) and leading Lyapunov exponent λ as a function of control parameter a (right).

Other parameters are ﬁxed at b = 30, ε = and c = 4 × 10−9. the system generates chaotic oscillations as illustrated in .Alexander I. Khibnik, Quarterly Review of Biology, "The book Chaotic Behaviour of Deterministic Dissipative Systems, is an excellent compendium of numerous contributions to the field of chaos science, mostly from the 's." Charles L.

Webber, Jr., Biophysical Journal.