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Nonlinear Dynamics: Materials, Theory and Experiments

Nonlinear Dynamics: Materials, Theory and Experiments PDF Author: Mustapha Tlidi
Publisher: Springer
ISBN: 3319248715
Category : Science
Languages : en
Pages : 358

Book Description
This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due to the potential applications for all-optical control of light, optical storage, and information processing. Other possible applications include the generation of ultra-short pulses using all-fiber cavities.

Nonlinear Dynamics: Materials, Theory and Experiments

Nonlinear Dynamics: Materials, Theory and Experiments PDF Author: Mustapha Tlidi
Publisher: Springer
ISBN: 3319248715
Category : Science
Languages : en
Pages : 358

Book Description
This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due to the potential applications for all-optical control of light, optical storage, and information processing. Other possible applications include the generation of ultra-short pulses using all-fiber cavities.

Nonlinear Dynamics

Nonlinear Dynamics PDF Author: Muthusamy Lakshmanan
Publisher: Springer Science & Business Media
ISBN: 3642556884
Category : Mathematics
Languages : en
Pages : 628

Book Description
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Introduction to Experimental Nonlinear Dynamics

Introduction to Experimental Nonlinear Dynamics PDF Author: Lawrence N. Virgin
Publisher: Cambridge University Press
ISBN: 9780521779319
Category : Science
Languages : en
Pages : 270

Book Description
A case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.

Nonlinear Dynamics in Solids

Nonlinear Dynamics in Solids PDF Author: Harry Thomas
Publisher: Springer Science & Business Media
ISBN: 3642956505
Category : Science
Languages : en
Pages : 249

Book Description
This volume contains the notes of lectures given at the school on "Nonlinear Dy namics in Solids" held at the Physikzentrum Bad Honnef, 2-6 October 1989 under the patronage of the Deutsche Physikalische Gesellschaft. Nonlinear dynamics has become a highly active research area, owing to many interesting developments during the last three decades in the theoretical analysis of dynamical processes in both Hamiltonian and dissipative systems. Research has been focused on a variety of problems, such as the characteristics of regular and chaotic motion in Hamiltonian dynamics, the problem of quantum chaos, the forma tion and properties of solitary spatio-temporal structures, the occurrence of strange attractors in dissipative systems, and the bifurcation scenarios leading to complex time behaviour. Until recently, predictions of the theory have been tested predominantly on insta bilities in hydrodynamic systems, where many interesting experiments have provided valuable input and have led to a fruitful interaction between experiment and theory. Fluid systems are certainly good candidates for performing clean experiments free from disturbing influences: with fluids, compared to solids, it is simpler to prepare good samples, the relevant length and time scales are in easily accessible ranges, and it is possible to do measurements "inside" the fluid, because it can be filled in after the construction of the apparatus. Further, the theory describing the macroscopic dynamics of fluids is well established and contains only very few parameters, all of which have well-known values.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos PDF Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532

Book Description
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 bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear Dynamics

Nonlinear Dynamics PDF Author: H.G Solari
Publisher: Routledge
ISBN: 1351428306
Category : Mathematics
Languages : en
Pages : 369

Book Description
Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and work

Nonlinear Dynamics And Chaos

Nonlinear Dynamics And Chaos PDF Author: Nicholas B. Tufillaro
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 462

Book Description
This essential handbook provides the theoretical and experimental tools necessary to begin researching the nonlinear behavior of mechanical, electrical, optical, and other systems. The book describes several nonlinear systems which are realized by desktop experiments, such as an apparatus showing chaotic string vibrations, an LRC circuit displaying strange scrolling patterns, and a bouncing ball machine illustrating the period doubling route to chaos. Fractal measures, periodic orbit extraction, and symbolic analysis are applied to unravel the chaotic motions of these systems. The simplicity of the examples makes this an excellent book for undergraduate and graduate-level physics and mathematics courses, new courses in dynamical systems, and experimental laboratories.

Nonlinear Dynamics in Solids

Nonlinear Dynamics in Solids PDF Author: Dr Harry Thomas
Publisher:
ISBN: 9783642956515
Category :
Languages : en
Pages : 256

Book Description
This is the second volume in a sequence of books covering especially interesting and ambitious schools of the German Physical Society held at the Physics Center, Bad Honnef. It presents the current state of research on nonlinear dynamics in solids. Up to now, almost all experimental results on nonlinear dynamics of spatio-temporal phenomena come from hydrodynamic systems. These reviews focus on nonlinear dynamical phenomena in semiconductors, nonlinear optical systems, ferromagnetic systems, and spatially chaotic structures in solids. All are written at a level that makes them accessible to students with an undergraduate education in physics or mathematics.

New Trends in Nonlinear Dynamics

New Trends in Nonlinear Dynamics PDF Author: Walter Lacarbonara
Publisher: Springer Nature
ISBN: 3030347249
Category : Science
Languages : en
Pages : 350

Book Description
This third of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to New Trends in Nonlinear Dynamics. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume III include NEMS/MEMS and nanomaterials: multi-sensors, actuators exploiting nonlinear working principles; adaptive, multifunctional, and meta material structures; nanocomposite structures (e.g., carbon nanotube/polymer composites, composites with functionalized nanoparticles); 0D,1D,2D,3D nanostructures; biomechanics applications, DNA modeling, walking dynamics, heart dynamics, neurodynamics, capsule robots, jellyfish-like robots, nanorobots; cryptography based on chaotic maps; ecosystem dynamics, social media dynamics (user behavior dynamics in multi-messages social hotspots, prediction models), financial engineering, complexity in engineering; and network dynamics (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics).

Introduction To Nonlinear Dynamics For Physicists

Introduction To Nonlinear Dynamics For Physicists PDF Author: Henry D I Abarbanel
Publisher: World Scientific
ISBN: 9814504122
Category : Science
Languages : en
Pages : 170

Book Description
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.