Nonlinear Dynamics and Chaos in Electric Oscillators

  • 307 Pages
  • 3.26 MB
  • 1211 Downloads
  • English
by
University College Dublin , Dublin
Oscillators, electric., Nonlinear theories., Dynamics., Chaotic behaviour in sys
StatementGian Mario Maggio.
ContributionsUniversity College Dublin. Department of Electronic and Electrical Engineering.
The Physical Object
Paginationxiii,307p. :
ID Numbers
Open LibraryOL18450347M

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips Nonlinear Dynamics and Chaos in Electric Oscillators book to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics.

These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences   In optomechanics, optical nonlinearities are usually regarded as detrimental and efforts are made to minimize their effects.

Here, the authors study the complex dynamics, including chaos, arising Toward Analytical Chaos in Nonlinear Systems systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay.

It covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and :// Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics.

These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of  › Mathematics › Dynamical Systems & Differential Equations. Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of spatiotemporal phenomena.

Description Nonlinear Dynamics and Chaos in Electric Oscillators PDF

These include periodic and chaotic changes in concentration, traveling waves of chemical reactivity, and stationary spatial (Turing) patterns. Although chemists were initially skeptical of the existence and the relevance of these phenomena, much progress   Nonlinear Dynamics provides a forum for the rapid publication of original research in the field.

The journal’s scope encompasses all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control :// This book explores non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems, drawing on relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional :// This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems.

The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical  › Engineering › Computational Intelligence and Complexity. nonlinear effects.

By means of a few simple examples of oscillators with nonlinear dynamics, namely the mathematical pendulum, Duffing oscillator and the Van der Pol oscillator, I show some basic concepts arising from nonlinearity. In the last chapter I devote a little more attention to the theory of chaos and describe the Lorenz This book contains a Nonlinear Dynamics and Chaos in Electric Oscillators book of recent advanced contributions in the field of nonlinear dynamics and synchronization, including selected applications in the area of theoretical electrical engineering.

The present book is divided into twenty-one chapters grouped in five :// Professor Luo is currently a Distinguished Research Professor at Southern Illinois University Edwardsville. He is an international renowned figure in the area of nonlinear dynamics and mechanics.

For about 30 years, Dr. Luo’s contributions on nonlinear dynamical systems and mechanics lie in (i) the local singularity theory for discontinuous dynamical systems, (ii) Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics.

These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear ?id=GOPtCAAAQBAJ.

The following book may also be useful: Berge, P., Y. Pomeau, and C. Vidal. Order within Chaos. Wiley-VCH, ISBN: Additional book recommendations are found in the readings section.

List of Course Topics. Free oscillators: Linear and nonlinear pendulum. Phase space and phase portraits. Fixed points.

Download Nonlinear Dynamics and Chaos in Electric Oscillators PDF

://   Partly in parallel with the development of chaos theory, there has been a substantial effort directed toward developing tools for the analysis of nonlinear stochastic dynamics, which deals with the response of nonlinear dynamic systems to stochastic excitation.

This points to the fundamental difference between these two areas of :// Nonlinear dynamics and chaos in robots have been extensively studied in the fields of service robots, humanoids and biologically inspired systems   Damped and Driven Nonlinear Oscillators.

Free Oscillations. Damped Oscillations. Forced Oscillations-Primary Resonance and Jump Phenomenon (Hysteresis) Secondary Resonances (Subharmonic and Superharmonic) Nonlinear Oscillations and Bifurcations. Dynamical Systems and Chaos. Routes to Chaos   Strogatz’s latest book, Nonlinear Dynamics and Chaos (2nd edition), is aimed broadly at scientists and engineers and is suitable as an undergraduate or graduate course textbook.

That’s no accident since much of the content of this book, and the first edition (Westview Press, ), originated from a course Strogatz taught at MIT and ://?journalCode=pto. This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos.

It is comprised of three parts. The first - cellular nonlinear networks, nonlinear circuits and cellular automata - deals with Chua's Lagrangian circuits, cellular wave computers, bio-inspired robotics and neur The fundamental distinctions between linear and nonlinear systems are described and the basic vocabulary used in studies of nonlinear dynamics introduced.

Key concepts are illustrated with classic examples ranging from simple bistability and hysteresis in a damped, driven oscillator to spatiotemporal modes and chaos in large systems, and to The basic operation principle of microwave oscillators, such as magnetrons, is based on the motion of electrons under a combined influence of electric and magnetic fields.

In such process, the DC energy is converted into the RF energy via the interaction process between the electrons and the surrounding electromagnetic field. This nonlinear process provides sufficient Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of This book makes an attempt to find a common ground for nonlinear dynamic analyses based on the existence of strongly nonlinear but quite simple counterparts to the linear models and tools.

harmonic oscillators, and the conventional complex Nonlinear Dynamics: How Science Comprehends Chaos. Sunny Auyang - manuscript Noise and Chaos in Nonlinear Dynamical Systems: Proceedings of the Nato Advanced Research Workshop on Noise and Chaos in Nonlinear Dynamical Systems, Institute for Scientific Interchange, Villa Gualino, Turin, Italy, March Using Nonlinear Dynamics and Chaos to Solve Signal Processing Tasks Chaos Synchronization in a Noisy Environment Using Kalman Filters Identification of a Parametrized Family of Chaotic Dynamics from Time Series Cipher-Quasi-Chaotic Sequence with Application to Spreading Spectrum Communication Systems Evolution of Periodic Orbits.; Observations of Chaos.\/span>\"@ en\/a> ; \u00A0\u00A0\u00A0\n schema:description\/a> \" This book develops a general methodological approach to investigate complex physical systems presented by the author in a previous book.

The nonlinear dynamics of coupled oscillators is investigated numerically and This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition.

The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations.

The book presents the original author’s method  › Physics › Complexity. Distinguishing quasiperiodic dynamics from chaos in short-time series.

Pysical Review E ‚ 76 ‚ ‚ [4] Y. Zou ‚ M. Thiel‚ M. Romano‚ and J. Kurths. Analytical description of recurrence plots of dynamical systems with nontrivial recurrences. Int. J ‚ 17   This paper addresses the amplitude and phase dynamics of a large system of nonlinearly coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics.

Our goal is to investigate the existence and stability of collective behaviour which occurs due to a play-off between the distribution of This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics.

Nonlinear Dynamics and Complexity equips readers to  › Engineering › Computational Intelligence and Complexity. Recommended book: Armin Fuchs: Nonlinear Dynamics in Complex Systems: Theory and Applications for the Life- Neuro- and Natural Sciences.

Springer Further useful books: Strogatz SH: Non-linear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering. Westview Press is the most ~erdi/nonlin/ndsyllabuspdf.The symmetries of the network predict which oscillators can synchronize with which.

Symmetries mean that we can move nodes around and the network is unchanged. The synchronization is possible because if we switch oscillators in the same cluster the network is unchanged and, hence, the dynamics are the same for the oscillators  › NRL.MAE Nonlinear Dynamics and Chaos (SpringCornell University).

Instructor: Professor Steven Strogatz.

Details Nonlinear Dynamics and Chaos in Electric Oscillators PDF

This course provides an introduction to nonlinear dynamics, with applications to physics, engineering, biology, and chemistry. It closely follows Prof. Strogatz's book, "Nonlinear Dynamics and Chaos: With Applications to Physics