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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 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 Ocean Dynamics

Nonlinear Ocean Dynamics PDF Author: Maged Marghany
Publisher: Elsevier
ISBN: 0128209259
Category : Science
Languages : en
Pages : 464

Book Description
Nonlinear Ocean Dynamics: Synthetic Aperture Radar delivers the critical tools needed to understand the latest technology surrounding the radar imaging of nonlinear waves, particularly microwave radar, as a main source to understand, analyze and apply concepts in the field of ocean dynamic surface. Filling the gap between modern physics quantum theory and applications of radar imaging of ocean dynamic surface, this reference is packed with technical details associated with the potentiality of synthetic aperture radar (SAR). The book also includes key methods needed to extract the value-added information necessary, such as wave spectra energy, current pattern velocity, internal waves, and more. This book also reveals novel speculation of a shallow coastal front: named as Quantized Marghany's Front. Rounding out with practical simulations of 4-D wave-current interaction patterns using using radar images, the book brings an effective new source of technology and applications for today's coastal scientists and engineers. - Solves specific problems surrounding the nonlinearity of ocean surface dynamics in synthetic aperture radar data - Helps develop new algorithms for retrieving ocean wave spectra and ocean current movements from synthetic aperture radar - Includes over 100 equations that illustrate how to follow examples in the book

Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1

Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1 PDF Author: Asit Saha
Publisher: Springer Nature
ISBN: 303166874X
Category :
Languages : en
Pages : 709

Book Description


Nonlinear Dynamics of Reservoir Mixtures

Nonlinear Dynamics of Reservoir Mixtures PDF Author: Vladimir Mitlin
Publisher: CRC Press
ISBN: 1000443353
Category : Mathematics
Languages : en
Pages : 272

Book Description
Nonlinear Dynamics of Reservoir Mixtures provides an overview of modeling techniques for solving nonlinear problems in hydrodynamics, with an emphasis on compositional flows in porous reservoirs. The volume focuses on nonlinear wave techniques for simulating and predicting fluid dynamic processes in petroleum reservoirs and discusses general applications of these models for other fluids. Topics covered include inhomogeneous space structures in reservoir processes, gradient models for analyzing changes in thermodynamic and hydrodynamic fluid properties, phase transition dynamics in fluids and rock minerals, and wetting phenomena. The book also discusses the stages involved in developing compositional simulators for enhanced oil recovery and describes applications used in hydrocarbon fields in the former USSR. Nonlinear Dynamics of Reservoir Mixtures provides excellent reference material for mathematicians, petroleum engineers, exploration geophysicists, and mechanical engineers. It is also a useful compositional modeling text for graduate students in the earth sciences and in petroleum and chemical engineering.

Chaos, Kinetics and Nonlinear Dynamics in Fluids and Plasmas

Chaos, Kinetics and Nonlinear Dynamics in Fluids and Plasmas PDF Author: Sadruddin Benkadda
Publisher: Springer Science & Business Media
ISBN: 9783540646358
Category : Science
Languages : en
Pages : 462

Book Description
Over the last few years it has become apparent that fluid turbulence shares many common features with plasma turbulence, such as coherent structures and self-organization phenomena, passive scalar transport and anomalous diffusion. This book gathers very high level, current papers on these subjects. It is intended for scientists and researchers, lecturers and graduate students because of the review style of the papers.

Proceedings of the International School of Physics "Enrico Fermi."

Proceedings of the International School of Physics Author: Società italiana di fisica
Publisher: IOS Press
ISBN: 158603846X
Category : Science
Languages : en
Pages : 933

Book Description
The field of cold atomic gases faced a revolution in 1995 when Bose-Einstein condensation was achieved. The quest for ultra-cold Fermi gases started shortly after the 1995 discovery, and quantum degeneracy in a gas of fermionic atoms was obtained in 1999. This work covers experimental techniques for the creation and study of Fermi quantum gases.

Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference

Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference PDF Author: Rozmus W
Publisher: #N/A
ISBN: 9814569798
Category :
Languages : en
Pages : 640

Book Description


Nonlinear Dynamics in Polymeric Systems

Nonlinear Dynamics in Polymeric Systems PDF Author: John Anthony Pojman
Publisher:
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 374

Book Description
This book discusses nonlinear dynamics in polymeric systems with a special emphasis on systems of potential utility, including gels, fronts, phase separation, interfacial phenomena, and oscillating reactions.

Collective Dynamics of Nonlinear and Disordered Systems

Collective Dynamics of Nonlinear and Disordered Systems PDF Author: Günter Radons
Publisher: Springer Science & Business Media
ISBN: 3540268693
Category : Science
Languages : en
Pages : 377

Book Description
Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

Nonlinear Dynamics and Applications

Nonlinear Dynamics and Applications PDF Author: Santo Banerjee
Publisher: Springer Nature
ISBN: 3030997928
Category : Science
Languages : en
Pages : 1433

Book Description
This book covers recent trends and applications of nonlinear dynamics in various branches of society, science, and engineering. The selected peer-reviewed contributions were presented at the International Conference on Nonlinear Dynamics and Applications (ICNDA 2022) at Sikkim Manipal Institute of Technology (SMIT) and cover a broad swath of topics ranging from chaos theory and fractals to quantum systems and the dynamics of the COVID-19 pandemic. Organized by the SMIT Department of Mathematics, this international conference offers an interdisciplinary stage for scientists, researchers, and inventors to present and discuss the latest innovations and trends in all possible areas of nonlinear dynamics.