Best Reference Books – Nonlinear Dynamical Systems

«
»
We have compiled the list of Top 10 Best Reference Books on Nonlinear Dynamical Systems subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Nonlinear Dynamical Systems along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Nonlinear Dynamical Systems subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Nonlinear Dynamical Systems" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Hyperstability of Control Systems” by V M Popov

Book Review: The book describes liapunov’s second method which provides accurate conclusions about the stability of well defined systems. The second method introduces the concept of absolute stability. The results of various experiments conducted in the field of absolute stability are presented with the help of monographs. The book also discuss the systems that describe nonlinear blocks. The book also discusses the study of absolute stability in finding a criterion that simultaneously secures that stability of all other systems.

2. “Nonlinear Systems Analysis” by M Vidyasagar

advertisement
Book Review: The book demonstrates various advancements in the application of differential geometric methods to nonlinear analysis. The book also provides mathematical analysis of the behaviour of nonlinear control systems in various situations. The book illustrates nonlinear generalizations of various methods and techniques that are employed in linear control theory. The topics covered in the book include lyapunov stability, input output stability and treatment of differential geometric control theory. The book contains numerous problems that tests the understanding of the readers.

3. “Linear Differential Equations with Periodic Coefficients” by Y A Yakubovitch and V M Starzhinskii

“Linear Differential Equations with Periodic Coefficients” Book Review: This book provides a comprehensive overview on linear differential equations with periodic coefficients. It covers topics like the existence theorems for hyperbolic equations, periodic solutions of the wave ordinary differential equations of second order, periodic solution of first-class systems, second class systems, periodic solutions of the second order integral and differential equations of hyperbolic type, asymptotic methods for second order partial differential equations of hyperbolic type. The book explains the concepts and mathematical calculations in simple language.

4. “Applied Non-Linear Dynamical Systems” by Awrejcewicz Jan Awrejcewicz

advertisement
advertisement
“Applied Non-Linear Dynamical Systems” Book Review: The book provides a detailed overview on applied nonlinear dynamical systems. It talks about analytical, numerical, and experimental techniques of dynamical systems. It provides deep insights into both theory and applications of non-linear dynamical systems. It provides directions for future research. It covers topics like constrained motion of mechanical systems and tracking control, diversities in inverse dynamics, and others. It talks about singularly perturbed ODEs with periodic coefficients and asymptotic solutions to the problem of vortex structure around a cylinder.

5. “Non-Linear Dynamics and Endogenous Cycles” by Gilbert Abraham-Frois and G Abraham-Frois

“Non-Linear Dynamics and Endogenous Cycles” Book Review: This book provides a fundamental overview on non-linear dynamics and endogenous cycles. It talks about chaotic dynamics in the field of economic growth and dynamic macroeconomic models during the past two decades. It discusses several developments like introduction of infrastructure in growth models, hysteresis systems, heterogeneity of agents, overlapping models with pay-as-you-go systems, interactions between relaxation cycles and chaotic dynamics, methodological issues, long memory processes and fractals.

6. “Modelling, Simulation and Control of Non-Linear Dynamical Systems” by Melin Castillo Melin

advertisement
“Modelling, Simulation and Control of Non-Linear Dynamical Systems” Book Review: This book describes use of fractal theory and soft computing techniques in the new approach to mathematical modeling, simulation, and control of complexion linear dynamical systems. It covers a fuzzy fractal approach to automated mathematical modeling of non-linear dynamical systems. It also illustrates with examples the PROLOG programming language. It talks about a new fuzzy genetic approach to automated simulation of dynamical systems. The book provides examples in the MATLAB programming language.

7. “Soft Computing for Control of Non-Linear Dynamical Systems” by Patricia Melin and Oscar Castillo

“Soft Computing for Control of Non-Linear Dynamical Systems” Book Review: This book provides a unified view of modelling, simulation, and control of non­linear dynamical systems using fractal theory and soft computing techniques. It describes how modelling, simulation, and control are problems that cannot be considered in isolation. It talks about how they are intrinsically inter-related with real world applications. It explains that control of non-linear dynamical systems cannot be achieved if not used with the appropriate model for the system. It covers complex non-linear dynamical systems which depict a wide range of dynamic behaviors.

8. “Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media” by Arkadii E Arinstein and Ludmilla A Uvarova

advertisement
“Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media” Book Review: This book provides a comprehensive overview on mathematical models of non-linear excitations, transfer, dynamics, and control in condensed systems and other media. It covers topics like nonlinear excitations in condensed systems. It focuses on dynamics and structure of molecular and biomolecular systems, and evolution of complex systems. It talks about mathematical models of transfer processes in nonlinear systems and provides useful numerical modeling and algorithms. The language is easy to understand and self-explanatory.

9. “Introduction to Applied Nonlinear Dynamical Systems and Chaos” by Stephen Wiggens A Heck Stephen Wiggins

“Introduction to Applied Nonlinear Dynamical Systems and Chaos” Book Review: This book provides a detailed overview on introduction to applied nonlinear dynamics and chaos. It places emphasis on teaching techniques and ideas that will enable students and researchers to take dynamical systems and obtain quantitative information about their behavior. It talks about the most eminent introductions to geometric theory of dynamical systems. This book is designed to focus on students, teachers, and researchers in the field of engineering and science.

10. “Nonlinear Dynamical Systems: Feedforward Neural Network Perspectives” by Shigeru Katagiri James T Lo Jos

advertisement
“Nonlinear Dynamical Systems: Feedforward Neural Network Perspectives” Book Review: This book provides a fundamental overview on nonlinear dynamical systems. It talks about feed forward neural network perspectives in detail. It discusses theory and capabilities of nonlinear dynamical systems that acquire the form of feedforward neural network structures. It discusses neural networks and neural-like networks, feed forward networks which incorporate dynamical elements that possess important properties and have several applications. It specializes in experiential knowledge. It also talks about what neural networks store and expands its knowledge base.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Nonlinear Dynamical Systems – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Nonlinear Dynamical Systems" so that one can readily see the list of top books on "Nonlinear Dynamical Systems" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Nonlinear Dynamical Systems subject, please let us know.

Sanfoundry Global Education & Learning Series – Best Reference Books!

Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!
advertisement
advertisement
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter