Practical Bifurcation and Stability Analysis

Practical Bifurcation and Stability Analysis
Author: Rüdiger Seydel
Publisher: Springer Science & Business Media
Total Pages: 493
Release: 2009-12-14
Genre: Mathematics
ISBN: 144191739X

Download Practical Bifurcation and Stability Analysis Book in PDF, Epub and Kindle

Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.

From Equilibrium to Chaos

From Equilibrium to Chaos
Author: Rüdiger Seydel
Publisher: Elsevier Publishing Company
Total Pages: 392
Release: 1988
Genre: Mathematics
ISBN:

Download From Equilibrium to Chaos Book in PDF, Epub and Kindle

Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems

Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems
Author: Franco Sebastian Gentile
Publisher: World Scientific
Total Pages: 393
Release: 2019-10-07
Genre: Technology & Engineering
ISBN: 9811205485

Download Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems Book in PDF, Epub and Kindle

This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations.The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed.

Bifurcation Analysis of Fluid Flows

Bifurcation Analysis of Fluid Flows
Author: Henk A. Dijkstra
Publisher: Cambridge University Press
Total Pages: 343
Release: 2023-06-30
Genre: Science
ISBN: 1108852521

Download Bifurcation Analysis of Fluid Flows Book in PDF, Epub and Kindle

A better understanding of the mechanisms leading a fluid system to exhibit turbulent behavior is one of the grand challenges of the physical and mathematical sciences. Over the last few decades, numerical bifurcation methods have been extended and applied to a number of flow problems to identify critical conditions for fluid instabilities to occur. This book provides a state-of-the-art account of these numerical methods, with much attention to modern linear systems solvers and generalized eigenvalue solvers. These methods also have a broad applicability in industrial, environmental and astrophysical flows. The book is a must-have reference for anyone working in scientific fields where fluid flow instabilities play a role. Exercises at the end of each chapter and Python code for the bifurcation analysis of canonical fluid flow problems provide practice material to get to grips with the methods and concepts presented in the book.

Imperfect Bifurcation in Structures and Materials

Imperfect Bifurcation in Structures and Materials
Author: Kiyohiro Ikeda
Publisher: Springer Nature
Total Pages: 590
Release: 2019-09-25
Genre: Science
ISBN: 3030214737

Download Imperfect Bifurcation in Structures and Materials Book in PDF, Epub and Kindle

Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory
Author: Yuri Kuznetsov
Publisher: Springer Science & Business Media
Total Pages: 648
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475739788

Download Elements of Applied Bifurcation Theory Book in PDF, Epub and Kindle

Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Dynamics and Bifurcations of Non-Smooth Mechanical Systems
Author: Remco I. Leine
Publisher: Springer Science & Business Media
Total Pages: 245
Release: 2013-03-19
Genre: Mathematics
ISBN: 3540443983

Download Dynamics and Bifurcations of Non-Smooth Mechanical Systems Book in PDF, Epub and Kindle

This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

Power Engineering

Power Engineering
Author: Viorel Badescu
Publisher: CRC Press
Total Pages: 348
Release: 2018-12-07
Genre: Science
ISBN: 0429843534

Download Power Engineering Book in PDF, Epub and Kindle

Traditionally, power engineering has been a subfield of energy engineering and electrical engineering which deals with the generation, transmission, distribution and utilization of electric power and the electrical devices connected to such systems including generators, motors and transformers. Implicitly this perception is associated with the generation of power in large hydraulic, thermal and nuclear plants and distributed consumption. Faced with the climate change phenomena, humanity has had to now contend with changes in attitudes in respect of environment protection and depletion of classical energy resources. These have had consequences in the power production sector, already faced with negative public opinions on nuclear energy and favorable perception of renewable energy resources and about distributed power generation. The objective of this edited book is to review all these changes and to present solutions for future power generation. Future energy systems must factor in the changes and developments in technology like improvements of natural gas combined cycles and clean coal technologies, carbon dioxide capture and storage, advancements in nuclear reactors and hydropower, renewable energy engineering, power-to-gas conversion and fuel cells, energy crops, new energy vectors biomass-hydrogen, thermal energy storage, new storage systems diffusion, modern substations, high voltage engineering equipment and compatibility, HVDC transmission with FACTS, advanced optimization in a liberalized market environment, active grids and smart grids, power system resilience, power quality and cost of supply, plug-in electric vehicles, smart metering, control and communication technologies, new key actors as prosumers, smart cities. The emerging research will enhance the security of energy systems, safety in operation, protection of environment, improve energy efficiency, reliability and sustainability. The book reviews current literature in the advances, innovative options and solutions in power engineering. It has been written for researchers, engineers, technicians and graduate and doctorate students interested in power engineering.