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Chaotic Modelling and Simulation, Skiadas, Christos H. , Skiadas, Charilaos


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Автор: Skiadas, Christos H. , Skiadas, Charilaos
Название:  Chaotic Modelling and Simulation
ISBN: 9780367386658
Издательство: Taylor&Francis
Классификация:


ISBN-10: 0367386658
Обложка/Формат: Paperback
Страницы: 368
Вес: 0.68 кг.
Дата издания: 20.12.2019
Язык: English
Размер: 234 x 152 x 20
Читательская аудитория: Tertiary education (us: college)
Основная тема: Physics
Подзаголовок: Analysis of Chaotic Models, Attractors and Forms
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of Models

Chaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models.

Requiring little prior knowledge of mathematics, the book focuses on classical forms and attractors as well as new simulation methods and techniques. Ideas clearly progress from the most elementary to the most advanced. The authors cover deterministic, stochastic, logistic, Gaussian, delay, Hйnon, Holmes, Lorenz, Rцssler, and rotation models. They also look at chaotic analysis as a tool to design forms that appear in physical systems; simulate complicated and chaotic orbits and paths in the solar system; explore the Hйnon-Heiles, Contopoulos, and Hamiltonian systems; and provide a compilation of interesting systems and variations of systems, including the very intriguing Lotka-Volterra system.

Making a complex topic accessible through a visual and geometric style, this book should inspire new developments in the field of chaotic models and encourage more readers to become involved in this rapidly advancing area.




Fractional Order Control and Synchronization of Chaotic Systems

Автор: Ahmad Taher Azar; Sundarapandian Vaidyanathan; Ade
Название: Fractional Order Control and Synchronization of Chaotic Systems
ISBN: 3319502484 ISBN-13(EAN): 9783319502489
Издательство: Springer
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Цена: 39130.00 р.
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Описание: Chapter 1 Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control.-Chapter 2 Control of the Temperature of a Finite Diffusive Interface Medium using the CRONE Controller.-Chapter 3 Grey Predictor Assisted Fuzzy and Fractional Order Fuzzy Control of a Moving Cart Inverted Pendulum.-Chapter 4 H Design with Fractional-Order PID Type Controllers.-Chapter 5 On the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAs.- Chapter 6 Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage.-Chapter 7 Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems.- Chapter 8 Optimal Fractional Order Proportional-Integral-Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator.-Chapter 9 Towards a Robust Fractional Order PID Stabilizer for Electric Power Systems.-Chapter 10 Application of Fractional Order Controllers on Experimental and Simulation Model of Hydraulic Servo System.

New Advances on Chaotic Intermittency and its Applications

Автор: Sergio Elaskar; Ezequiel del R?o
Название: New Advances on Chaotic Intermittency and its Applications
ISBN: 3319478362 ISBN-13(EAN): 9783319478364
Издательство: Springer
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Цена: 16769.00 р.
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Описание: One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data.As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work.This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincar? map.Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.

Analysis of Chaotic Behavior in Non-linear Dynamical Systems

Автор: Pi?rek
Название: Analysis of Chaotic Behavior in Non-linear Dynamical Systems
ISBN: 3319948865 ISBN-13(EAN): 9783319948867
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization.

Chaotic Logic

Автор: Ben Goertzel
Название: Chaotic Logic
ISBN: 1441932380 ISBN-13(EAN): 9781441932389
Издательство: Springer
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Цена: 20257.00 р.
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Описание: My goal in writing this book was to go directly to the core of mental process, "where angels fear to tread" -- to tackle all the sticky issues which it is considered prudent to avoid: the nature of consciousness, the relation between mind and reality, the justification of belief systems, the connection between creativity and mental illness,....

11th Chaotic Modeling and Simulation International Conference

Автор: Christos H. Skiadas; Ihor Lubashevsky
Название: 11th Chaotic Modeling and Simulation International Conference
ISBN: 3030152960 ISBN-13(EAN): 9783030152963
Издательство: Springer
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Цена: 19564.00 р.
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Описание:

Gathering the proceedings of the 11th CHAOS2018 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences.
The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Analysis of Chaotic Behavior in Non-linear Dynamical Systems

Автор: Micha? Pi?rek
Название: Analysis of Chaotic Behavior in Non-linear Dynamical Systems
ISBN: 3030069311 ISBN-13(EAN): 9783030069315
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.

Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems

Автор: Elhadj Zeraoulia Et Al
Название: Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems
ISBN: 9814340693 ISBN-13(EAN): 9789814340694
Издательство: World Scientific Publishing
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Цена: 14573.00 р.
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Описание: A collection of review articles that deals with the developments in the study of chaotic dynamical systems with some open problems and challenges. It presents a variety of topics of interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems.

Fractional Order Control and Synchronization of Chaotic Systems

Автор: Ahmad Taher Azar; Sundarapandian Vaidyanathan; Ade
Название: Fractional Order Control and Synchronization of Chaotic Systems
ISBN: 3319843567 ISBN-13(EAN): 9783319843568
Издательство: Springer
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Цена: 27950.00 р.
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Описание: Chapter 1 Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control.-Chapter 2 Control of the Temperature of a Finite Diffusive Interface Medium using the CRONE Controller.-Chapter 3 Grey Predictor Assisted Fuzzy and Fractional Order Fuzzy Control of a Moving Cart Inverted Pendulum.-Chapter 4 H Design with Fractional-Order PID Type Controllers.-Chapter 5 On the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAs.- Chapter 6 Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage.-Chapter 7 Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems.- Chapter 8 Optimal Fractional Order Proportional-Integral-Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator.-Chapter 9 Towards a Robust Fractional Order PID Stabilizer for Electric Power Systems.-Chapter 10 Application of Fractional Order Controllers on Experimental and Simulation Model of Hydraulic Servo System.

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

Автор: Mark Edelman; Elbert Macau; Miguel A. F. Sanjuan
Название: Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives
ISBN: 3319681087 ISBN-13(EAN): 9783319681085
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics.

The fifteen chapters - written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks - offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering.

As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.


Multimedia Security Using Chaotic Maps

Автор: Khalid M. Hosny
Название: Multimedia Security Using Chaotic Maps
ISBN: 3030386996 ISBN-13(EAN): 9783030386993
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This comprehensive book is primarily intended for researchers, engineers, mathematicians and computer security specialists who are interested in multimedia security, steganography, encryption, and related research fields.

Dynamical And Complex Systems

Автор: Bullett Shaun Et Al
Название: Dynamical And Complex Systems
ISBN: 1786341026 ISBN-13(EAN): 9781786341020
Издательство: World Scientific Publishing
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Цена: 12830.00 р.
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Описание:

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems. It is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as applied dynamical systems, Lotka-Volterra dynamical systems, applied dynamical systems theory, dynamical systems in cosmology, aperiodic order, and complex systems dynamics.

Dynamical and Complex Systems is the fifth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.


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