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Advanced Studies In Nonlinear Dynamical Systems


Advanced Studies In Nonlinear Dynamical Systems
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Advanced Studies In Nonlinear Dynamical Systems


Advanced Studies In Nonlinear Dynamical Systems
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Author : Dumitru Baleanu
language : en
Publisher: Springer Nature
Release Date : 2025-05-06

Advanced Studies In Nonlinear Dynamical Systems written by Dumitru Baleanu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-06 with Science categories.


This book is a compilation of select chapter from the 2023 International Conference on Nonlinear Science and Complexity. It presents recent advancements, discoveries, and ongoing research in various facets of nonlinear science and complexity. The book covers a broad scope of topics, including nonlinear dynamical systems, complex systems, quantum sensing, and mathematical approaches in biological and economic models. Key subspecialties addressed include nonlinear differential equations, modeling of nonlinear processes in diverse fields such as biology and economics, and innovative computational techniques. Each chapter contributes unique insights into its respective field, providing theoretical analyses, practical applications, and numerical simulations to advance the understanding of complex nonlinear phenomena.



Advances In Nonlinear Dynamics Methods And Applications


Advances In Nonlinear Dynamics Methods And Applications
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Author : Anil K. Bajaj
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Advances In Nonlinear Dynamics Methods And Applications written by Anil K. Bajaj and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


This is the second and final issue of the collection of papers that were contributed by friends and colleagues of (Late) Professor P. R. "Pat" Sethna of the University of Minnesota to commemorate his 70th birthday on May 26, 1993. The first set of contributions was published in Nonlinear Dynamics as the last issue (no. 6) of Vol. 4 in 1993. As circumstances would have it, Professor Sethna was diagnosed with cancer in the fall of 1992 and, after an extended battle with the disease, he passed away on November 4, 1993, just a few days before the first set of contributed papers appeared in print. It is gratifying to report that the organizers of these vi Foreword commemorative issues in Nonlinear Dynamics were able to present to Professor Sethna, on the occasion of his 70th birthday, complete details of the planned commemorative issues. This second set of contributions is dedicated, in memoriam, to Professor P. R. Sethna. As many of you are well aware, Professor Sethna was an active researcher in the field of nonlinear vibrations and dynamics for nearly forty years, making many fundamental and significant contributions to both the theoretical and applied aspects of this field. He was also recognized for his outstanding leadership and administrative abilities, amply demonstrated through his position as the Head of the Department of Aerospace Engineering and Mechanics at the University of Minnesota for twenty-six years (1966-1992).



Advances In Nonlinear Dynamics


Advances In Nonlinear Dynamics
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2022-03-18

Advances In Nonlinear Dynamics written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-18 with Technology & Engineering categories.


This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions Mechanical systems and structures Computational nonlinear dynamics Analytical techniques Bifurcation and dynamic instability Rotating systems Modal interactions and energy transfer Nonsmooth systems



Advances In Nonlinear Dynamics Volume Ii


Advances In Nonlinear Dynamics Volume Ii
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2024-05-01

Advances In Nonlinear Dynamics Volume Ii written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-01 with Science categories.


This second of three volumes presents papers from the third series of NODYCON to be held in June of 2023. The conference papers reflect a broad coverage of topics in nonlinear dynamics, both traditionally placed in established streams of research as well as they stand as newly explored and emerging venues of research. These include• Multi-scale dynamics: multiple time/space scales, large system dynamics• Experimental dynamics: benchmark experiments, experimental methods,instrumentation techniques, measurements in harsh environments, experimentalvalidation of nonlinear models• Reduced-order modeling: center manifold reduction, nonlinear normal modes, normalforms• Systems with time and/or space delays• Nonlinear interactions in multi-dof systems: parametric vibrations, multiple external andautoparametric resonances.• Computational techniques: efficient algorithms, use ofsymbolic manipulators, integrationof symbolic manipulation and numerical methods, use of parallel processors.• Nonlinear system identification: parametric/nonparametric identification, data-drivenidentification• Multibody dynamics: rigid and flexible multibody system dynamics, impact and contactmechanics, tire modeling, railroad vehicle dynamics, biomechanics applications,computational multibody dynamics• Fluid/structure interaction• Nonlinear wave propagation in discrete and continuous media



Advances In Nonlinear Dynamics Volume I


Advances In Nonlinear Dynamics Volume I
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2024-05-11

Advances In Nonlinear Dynamics Volume I written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-11 with Technology & Engineering categories.


This volume aims to present the latest advancements in experimental, analytical, and numerical methodologies aimed at exploring the nonlinear dynamics of diverse systems across varying length and time scales. It delves into the following topics: Methodologies for nonlinear dynamic analysis (harmonic balance, asymptotic techniques, enhanced time integration) Data-driven dynamics, machine learning techniques Exploration of bifurcations and nonsmooth systems Nonlinear phenomena in mechanical systems and structures Experimental dynamics, system identification, and monitoring techniques Fluid-structure interaction Dynamics of multibody systems Turning processes, rotating systems, and systems with time delays



Backstepping Control Of Nonlinear Dynamical Systems


Backstepping Control Of Nonlinear Dynamical Systems
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Author : Sundarapandian Vaidyanathan
language : en
Publisher: Academic Press
Release Date : 2020-08-15

Backstepping Control Of Nonlinear Dynamical Systems written by Sundarapandian Vaidyanathan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-15 with Technology & Engineering categories.


Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The latest techniques explored include 'active backstepping control', 'adaptive backstepping control', 'fuzzy backstepping control' and 'adaptive fuzzy backstepping control'. The reference book provides numerous simulations using MATLAB and circuit design. These illustrate the main results of theory and applications of backstepping control of nonlinear control systems. Backstepping control encompasses varied aspects of mechanical engineering and has many different applications within the field. For example, the book covers aspects related to robot manipulators, aircraft flight control systems, power systems, mechanical systems, biological systems and chaotic systems. This multifaceted view of subject areas means that this useful reference resource will be ideal for a large cross section of the mechanical engineering community. - Details the real-world applications of backstepping control - Gives an up-to-date insight into the theory, uses and application of backstepping control - Bridges the gaps for different fields of engineering, including mechanical engineering, aeronautical engineering, electrical engineering, communications engineering, robotics and biomedical instrumentation



Methods Of Qualitative Theory In Nonlinear Dynamics


Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : Leonid P. Shilnikov
language : en
Publisher: World Scientific
Release Date : 1998

Methods Of Qualitative Theory In Nonlinear Dynamics written by Leonid P. Shilnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.


Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.



Recent Advances In Control Problems Of Dynamical Systems And Networks


Recent Advances In Control Problems Of Dynamical Systems And Networks
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Author : Ju H. Park
language : en
Publisher: Springer Nature
Release Date : 2020-08-11

Recent Advances In Control Problems Of Dynamical Systems And Networks written by Ju H. Park and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Technology & Engineering categories.


This edited book introduces readers to new analytical techniques and controller design schemes used to solve the emerging “hottest” problems in dynamic control systems and networks. In recent years, the study of dynamic systems and networks has faced major changes and challenges with the rapid advancement of IT technology, accompanied by the 4th Industrial Revolution. Many new factors that now have to be considered, and which haven’t been addressed from control engineering perspectives to date, are naturally emerging as the systems become more complex and networked. The general scope of this book includes the modeling of the system itself and uncertainty elements, examining stability under various criteria, and controller design techniques to achieve specific control objectives in various dynamic systems and networks. In terms of traditional stability matters, this includes the following special issues: finite-time stability and stabilization, consensus/synchronization, fault-tolerant control, event-triggered control, and sampled-data control for classical linear/nonlinear systems, interconnected systems, fractional-order systems, switched systems, neural networks, and complex networks. In terms of introducing graduate students and professional researchers studying control engineering and applied mathematics to the latest research trends in the areas mentioned above, this book offers an excellent guide.



Advances In Nonlinear Mechanics In China


Advances In Nonlinear Mechanics In China
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Author : Wenhu Huang
language : en
Publisher: CRC Press
Release Date : 2002-01-01

Advances In Nonlinear Mechanics In China written by Wenhu Huang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Science categories.


Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China. Many papers were published in Chinese in the Journal of Vibration Engineering, Journal of Nonlinear Dynamics, and Vibration and Shock. This work offers translations of selected articles.



Nonlinear Dynamics And Chaos


Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.


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.