Interdisciplinarity In The Sciences: Nonlinear Dynamics, Chaos And Complexity

Interdisciplinarity In The Sciences: Nonlinear Dynamics, Chaos And Complexity book cover

Interdisciplinarity In The Sciences: Nonlinear Dynamics, Chaos And Complexity

Author(s): Miguel A F Sanjuan (Author)

  • Publisher: WSPC
  • Publication Date: October 16, 2025
  • Language: English
  • Print length: 212 pages
  • ISBN-10: 9819815088
  • ISBN-13: 9789819815081

Book Description

Based on the speech delivered by the author at the ceremony of his induction to the Royal Academy of Sciences of Spain, this book offers a general overview of the field of Nonlinear Dynamics, Chaos, and Complexity, considering historical sources and the development of ideas by pioneers in the field. Special emphasis is placed on the contributions made by physicists, including Nobel Laureates in Physics, to this field, even though they are not widely known for this work. Particular attention is given to the concept of emergence introduced by physicists, as well as the numerous applications of these ideas across various sciences, such as Mathematics, Physics, Chemistry, Biology, Geology, Physiology, Biomedical Engineering, and Medicine. Another relevant aspect is the discussion of interdisciplinarity in the sciences and how the field of Nonlinear Dynamics, Chaos, and Complexity contributes to this objective. The book concludes with a discussion on the prospects and bright future for further developments in the field. Both academics and students will find the contents useful.

Editorial Reviews

Review

"Miguel Sanjuan's vision of nonlinear dynamics, chaos, and complex systems is exceptional. He entertains as he explains, engaging readers across disciplines in this evolving field. This book is destined to become a classic."

James A Yorke University of Maryland

"The book explores the interdisciplinary nature of modern research through the unifying framework of Nonlinear Dynamics, Chaos, and Complex Systems. It vividly illustrates how these fundamental concepts have fertilized advances across mathematics, physics, chemistry, biology, geology, and beyond."

Guanrong (Ron) Chen City University of Hong Kong Editor-in-Chief, International Journal of Bifurcation and Chaos

"Miguel Sanjuan's fresh and original view on the history guides us in a fun and deep manner to the recent evolution as well as perspectives and future potentials of nonlinear sciences."

Juergen Kurths Potsdam Institute for Climate Impact Research (PIK) and Humboldt University of Berlin Editor-in-Chief, Chaos

"Scholars, beginning researchers and students alike will delve with delight into this book, which presents a vast interdisciplinary panorama of nonlinear sciences in a brilliant and profound synthesis that elevates its author, Miguel Sanjuan, to the level of a modern-day Pico della Mirandola. By exploring the very roots of what allowed the emergence of nonlinear dynamics, chaos and complexity, this book helps us understand the unity of this triple domain and underlines the importance of interdisciplinarity in scientific research."

René Lozi Université Côte d'Azur, Nice, France Vice-President (2023–2025), International Society of Difference Equations

"Interdisciplinary perspectives on our complex world through the power of nonlinear science, which goes beyond the walls of different disciplines."

Kazuyuki Aihara International Research Center for Neurointelligence (IRCN) The University of Tokyo

"In this masterfully crafted work, Miguel A F Sanjuán distills the rich history, foundational ideas, and modern applications of nonlinear dynamics, chaos, and complexity into an inspiring narrative that transcends disciplinary boundaries. Bridging physics, life sciences, mathematics, and beyond, this book not only illuminates the conceptual beauty of complex systems but also demonstrates their unifying power in advancing truly interdisciplinary science. A must-read for researchers, educators, and all who seek to understand the nonlinear world we live in."

Dimitri Volchenkov Texas Tech University Editor-in-Chief, Journal of Discontinuity, Nonlinearity, and Complexity

"This most timely book covers credibly, without mathematical equations, the historical developments, foundational contributions by Nobel laureates and diverse applications of Nonlinear Dynamics, Chaos, and Complexity. It foregrounds the demands for teaching complexity in college level, offers the strategic planning of curriculum design and stresses the needs for interdepartmental and international collaborations which are not touched by other books on complex phenomena."

S Rajasekar Bharathidasan University, India

"A fascinating and highly absorbing historical introduction to nonintegrable nonlinear, namely chaotic, dynamical systems. It introduces in a masterful way the notions of emergence, complexity and their diverse applications in physics, chemistry, biology, engineering, social and earth sciences as well as the interdisciplinary nature of the subject. It also provides clear ideas of introducing relevant courses in scientific curriculum."

M Lakshmanan Bharathidasan University, India

"This book provides a bird's eye view of the remarkable history and achievements of the sciences described. The presentation is inspiring and captivating. A highly recommendable book to enter in these fascinating subjects, with relevant and useful references to all topics discussed that will allow the reader to find more detailed descriptions of the broad variety of topics covered."

Luis Álvarez-Gaumé Stony Brook University Former Head of the CERN Theory Division

"Prof. Sanjuán's acceptance speech at the Royal Academy of Sciences brought a breath of fresh air to the Institution, an ode to chaos and complexity. 'It has been the great triumph of the sciences to find consistent means of studying phenomena hidden by both space and time, overcoming the limits of cognition and material culture' writes Prof. David C Krakauer, current director of the Santa Fe Institute, sanctum of complexity. The unpredictable and the complex are treated with such mastery that the exact, the physical, and the natural appear as a normal mixture that permeates all areas of knowledge."

Pedro R García Barreno Royal Spanish Academy & Royal Academy of Sciences of Spain

"This terrifically readable account of the emergence of complexity science weaves together the central threads of determinism, interdisciplinarity and emergence. It is a personal account of the key figures in the history of nonlinear science and complexity and draws in the author's invaluable and perceptive insight into the evolution of modern science and mathematics. Well written, warm, and wonderfully insightful tour of the development of nonlinear science. One gets a clear sense of the gradual building of both a new kind of science, and of the recognition for the pioneers in that science."

Michael Small Professor of Mathematics & Statistics and CSIRO-UWA Chair of Complex Engineering Systems, The University of Western Australia

About the Author

Miguel A F Sanjuán received a Bachelor Degree in Physics by the University of Valladolid, Spain, in 1981, where he was granted the Outstanding Graduation Honor for Undergraduate Studies, and a PhD Degree by the National University at a Distance (UNED), Madrid, Spain in 1990, on Nonlinear Dynamics and Chaos. Professor of Physics at the Universidad Rey Juan Carlos, Madrid, Spain. He is the Director of the Research Group in Nonlinear Dynamics, Chaos and Complex Systems. Author of numerous publications in research journals, and of several books. He is Associate Editorial Board Member of several international journals in Nonlinear Dynamics and Chaos. He is the Editor-in-Chief of the Journal of Applied Nonlinear Dynamics. He has given invited lectures in many universities in Spain, Europe, USA, Canada, China, Japan, India, Australia, South America and Africa. He has been a Visiting Research Associate of the Institute for Physical Sciences and Technology of the University of Maryland, the University of Tokyo, Visiting Research Professor at Beijing Jiaotong University, Visiting Professor in Kaunas Technological University, Lithuania, and Guest Professor of Lanzhou University and Zigong University, China. Fellow de la Japan Society for the Promotion of Science at the University of Tokyo. In 2017, he was a Fulbright Visiting Research Scholar at the University of Maryland. First recipient of the Chieh-Su Hsu Award (2020) for distinguished scholars in Nonlinear Dynamics and Control. In 2022 he was the first recipient of the James Yorke Award for his breakthrough achievements in Nonlinear Dynamics and Chaos. He is Honorary Professor of Sichuan University of Science and Technology (Zigong, China), and Honorary Professor of Huaqiao University (Xiamen, China). He is currently the Editor General of the Spanish Physics Society. Member the EPJ Scientific Advisory Committee of the European Physical Society. He is a Full Member of the Royal Academy of Sciences of Spain, a Foreign Member of the Lithuanian Academy of Sciences, a Foreign Member of the Serbian Academy of Nonlinear Sciences and a Regular Member of the Academia Europaea-The Academy of Europe.

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