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1 Meguid, Shaker A Atomistic and Continuum Fracture Mechanics of Solids I13264 2024 eBook  
2 Luo, Albert C. J Two-dimensional??Self-independent Variable??Cubic Nonlinear Systems I13213 2024 eBook  
3 Luo, Albert C. J Two-dimensional Product-Cubic Systems, Vol. I I13207 2024 eBook  
4 ??rl??, Ramis Progress in Turbulence X I13112 2024 eBook  
5 Kougioumtzoglou, Ioannis A Path Integrals in Stochastic Engineering Dynamics I13061 2024 eBook  
6 Gros, Claudius Complex and Adaptive Dynamical Systems I13034 2024 eBook  
7 Lacarbonara, Walter Advances in Nonlinear Dynamics, Volume I I13032 2024 eBook  
8 Fuk??, Henryk Solvable Cellular Automata I12854 2023 eBook  
9 Pilipchuk, Valery N Oscillators and Oscillatory Signals from Smooth to Discontinuous I12835 2023 eBook  
10 Bountis, Tassos Chaos, Fractals and Complexity I12832 2023 eBook  
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TitleAtomistic and Continuum Fracture Mechanics of Solids : An Integrated Treatment
Author(s)Meguid, Shaker A
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXIII, 277 p. 174 illus., 78 illus. in color : online resource
Abstract NoteThis unique, first of its kind, book offers an integrated treatment of the atomistic-continuum behaviours of single and interacting microdefects under elasto-static loading. These microdefects may take the form of nanocracks, microcracks, microvoids, inclusions, and inhomogeneities. Professor Meguid elucidates the subject matter using novel treatment that offers a fresh look at molecular and continuum mechanics, imperfections in solids, the Griffith crack, modes of failure and diagnostics at varied length scales, LEFM and multiscale modeling of interacting microdefects. Providing a range of perspectives from theory and applications, this book is ideal for college seniors, graduate students, practicing and research engineers interested in failure analysis, diagnostics and prevention. Fosters greater understanding of fracture mechanics concepts at varied length scales; Adopts a unique approach combining atomistic and continuum behaviours of interacting nano/microdefects; Empowers conceptual interpretations of content through a thorough treatment of the subject
ISBN,Price9783031560859
Keyword(s)1. Applied Dynamical Systems 2. Atomistic Models 3. Classical and Continuum Physics 4. CLASSICAL MECHANICS 5. CONTINUUM MECHANICS 6. DYNAMICS 7. EBOOK 8. EBOOK - SPRINGER 9. ENGINEERING MECHANICS 10. MATERIALS SCIENCE 11. MECHANICS 12. Mechanics, Applied 13. NONLINEAR THEORIES 14. PHYSICS
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TitleTwo-dimensional??Self-independent Variable??Cubic Nonlinear Systems
Author(s)Luo, Albert C. J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionX, 275 p. 33 illus., 32 illus. in color : online resource
Abstract NoteThis book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems discussed, the dynamical systems possess source, sink and saddle equilibriums, saddle-source and saddle-sink, third-order sink and source (i.e, (3rd SI:SI)-sink and (3rdSO:SO)-source) and third-order source (i.e., (3rd SO:SI)-saddle, (3rd SI, SO)-saddle) . For self-quadratic and self-cubic systems, in addition to the first and third-order sink, source and saddles plus saddle-source and saddle-sink, there are (3:2)-saddle-sink and (3:2) saddle-source and double-saddles. For the two self-cubic systems, (3:3)-source, sink and saddles exist. Finally, the author describes that homoclinic orbits without centers can be formed, and the corresponding homoclinic networks of source, sink and saddles exists. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems; Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-saddles; Develops homoclinic networks of source, sink and saddles
ISBN,Price9783031571121
Keyword(s)1. Applied Dynamical Systems 2. DYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MECHANICS 6. Mechanics, Applied 7. Multibody systems 8. Multibody Systems and Mechanical Vibrations 9. NONLINEAR THEORIES 10. PLASMA WAVES 11. VIBRATION 12. Waves, instabilities and nonlinear plasma dynamics
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TitleTwo-dimensional Product-Cubic Systems, Vol. I : Constant and Linear Vector Fields
Author(s)Luo, Albert C. J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionX, 250 p. 46 illus., 45 illus. in color : online resource
Abstract NoteThis book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations. Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields; Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow; Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow.
ISBN,Price9783031570926
Keyword(s)1. Applied Dynamical Systems 2. Computational Science and Engineering 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MECHANICS 7. MATHEMATICS 8. Mechanics, Applied 9. Multibody systems 10. Multibody Systems and Mechanical Vibrations 11. NONLINEAR THEORIES 12. PLASMA WAVES 13. VIBRATION 14. Waves, instabilities and nonlinear plasma dynamics
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TitleProgress in Turbulence X : Proceedings of the iTi Conference on Turbulence 2023
Author(s)??rl??, Ramis;Talamelli, Alessandro;Peinke, Joachim;Oberlack, Martin
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXVII, 348 p. 224 illus., 204 illus. in color : online resource
Abstract NoteThis book collects the edited and reviewed contribution presented in the 10th iTi conference in Bertinoro, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the book is produced after the conference so that the authors had the opportunity to incorporate comments and discussions raised during the meeting. The iTi has become an established biannual conference on turbulence research with 80 to 100 participants and places value on creating an environment to stimulate discussions and personal contacts in the beautiful town of Bertinoro in Northern Italy close to Bologna, continuing a tradition that has started in Bad Zwischenahn/Germany with the first edition of the conference in 2003. The content-related focus areas of the conference are the interdisciplinary aspects of turbulence, defining the abbreviation iTi???interdisciplinary turbulence initiative. iTi attracts scientist from the engineering, physics, and mathematics communities
ISBN,Price9783031559242
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. Engineering Fluid Dynamics 7. FLUID MECHANICS 8. NONLINEAR THEORIES 9. SYSTEM THEORY
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TitlePath Integrals in Stochastic Engineering Dynamics
Author(s)Kougioumtzoglou, Ioannis A;Psaros, Apostolos F;Spanos, Pol D
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXIII, 228 p. 73 illus., 67 illus. in color : online resource
Abstract NoteThis book organizes and explains, in a systematic and pedagogically effective manner, recent advances in path integral solution techniques with applications in stochastic engineering dynamics. It fills a gap in the literature by introducing to the engineering mechanics community, for the first time in the form of a book, the Wiener path integral as a potent uncertainty quantification tool. Since the path integral flourished within the realm of quantum mechanics and theoretical physics applications, most books on the topic have focused on the complex-valued Feynman integral with only few exceptions, which present path integrals from a stochastic processes perspective. Remarkably, there are only few papers, and no books, dedicated to path integral as a solution technique in stochastic engineering dynamics. Summarizing recently developed techniques, this volume is ideal for engineering analysts interested in further establishing path integrals as an alternative potent conceptual and computational vehicle in stochastic engineering dynamics. Organizes and presents in a systematic manner recent advances in Wiener path integral solution techniques; Establishes Wiener path integrals as a potent conceptual and computational vehicle in stochastic engineering dynamics; Discusses diverse applications in emerging/transformative technologies, such as nano-mechanics and energy harvesting
ISBN,Price9783031578632
Keyword(s)1. Applied Dynamical Systems 2. DYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING 6. ENGINEERING MATHEMATICS 7. Integral Transforms and Operational Calculus 8. MATHEMATICAL ANALYSIS 9. Mathematical and Computational Engineering Applications 10. MATHEMATICAL PHYSICS 11. NONLINEAR THEORIES 12. Stochastic analysis 13. Theoretical, Mathematical and Computational Physics
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TitleComplex and Adaptive Dynamical Systems : A Comprehensive Introduction
Author(s)Gros, Claudius
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXV, 461 p. 167 illus., 145 illus. in color : online resource
Abstract NoteThis textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced and explained on the run. All derivations are presented step-by-step. This new fifth edition has been fully revised and includes a new chapter, a range of new sections, figures and exercises. The Solution chapter has been reorganized for clarity. The core aspects of modern complex system sciences are presented in the first chapters, covering the foundations of network- and dynamical system theory, with a particular focus on scale-free networks and tipping phenomena. The notion of deterministic chaos is treated together with bifurcation theory and the intricacies of time delays. Modern information theoretical principles are discussed in further chapters, together with the notion of self-organized criticality, synchronization phenomena, and a game-theoretical treatment of the tragedy of the commons. The dynamical systems view of modern machine learning is presented in a new chapter. Chapters include exercises and suggestions for further reading. The textbook is suitable for graduate and advanced undergraduate students. The prerequisites are the basic mathematical tools of courses in natural sciences, computer science or engineering
ISBN,Price9783031550768
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. GRAPH THEORY 8. Mathematical Models of Cognitive Processes and Neural Networks 9. Neural networks (Computer science)?? 10. NONLINEAR THEORIES 11. Stochastic Networks 12. STOCHASTIC PROCESSES 13. SYSTEM THEORY
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TitleAdvances in Nonlinear Dynamics, Volume I : Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)
Author(s)Lacarbonara, Walter
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXVI, 750 p. 345 illus., 297 illus. in color : online resource
Abstract NoteThis 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
ISBN,Price9783031506314
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING 7. ENGINEERING MATHEMATICS 8. ENGINEERING MECHANICS 9. Mathematical and Computational Engineering Applications 10. Mechanics, Applied 11. Multibody systems 12. Multibody Systems and Mechanical Vibrations 13. NONLINEAR THEORIES 14. SYSTEM THEORY 15. VIBRATION
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TitleSolvable Cellular Automata : Methods and Applications
Author(s)Fuk??, Henryk
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXIX, 296 p. 41 illus., 28 illus. in color : online resource
Abstract NoteThe main focus of the book is solvability of cellular automata, that is, expressing the state of a given cell after a given number of steps by an explicit formula. The author considers solutions of two types of initial value problems for cellular automata, the deterministic one and the probabilistic one. In the first chapter the basic concepts of cellular automata theory are introduced. Deterministic initial value problem is introduced next and solutions for selected simple rules are also presented. In the following chapters various techniques for solving the deterministic problem are introduced, using elementary CA rules of increasing complexity as examples. The second part of the book introduces the concept of probability measure in the context of cellular automata and the probabilistic initial value problem for both deterministic and probabilistic rules. The book is amply illustrated with examples and applications such as the density classification problem, phase transitions in traffic models or the diffusion of innovations model. In the appendix, solution formulae (both deterministic and probabilistic) for over 60 elementary cellular automata rules are listed. Ruelle-Frobenius-Perron equations for all 88 minimal elementary cellular automata are also provided.
ISBN,Price9783031387005
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. COMPUTER SCIENCE 4. DYNAMICS 5. EBOOK - SPRINGER 6. MATHEMATICAL PHYSICS 7. NONLINEAR THEORIES 8. SYSTEM THEORY 9. Theory of Computation
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TitleOscillators and Oscillatory Signals from Smooth to Discontinuous : Geometrical, Algebraic, and Physical Nature
Author(s)Pilipchuk, Valery N
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXII, 456 p. 169 illus., 89 illus. in color : online resource
Abstract NoteThis updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford???s algebras, give rise to the essentially nonlinear ???quasi-impact??? methodology based on the idea of non-smooth temporal substitutions. In the years since ???Nonlinear Dynamics: Between Linear and Impact Limits,??? the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 =?? 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools. Presents an improved picture of non-smooth temporal transformations using impact systems as a basis for various analyses; Includes new examples of recent applications for problems in energy absorption/harvesting and resonance interactions; Describes a complementarity principle with a range of applications from smooth to discontinuous oscillatory processes
ISBN,Price9783031377884
Keyword(s)1. Applied Dynamical Systems 2. CLASSICAL MECHANICS 3. DYNAMICS 4. EBOOK - SPRINGER 5. ENGINEERING 6. MECHANICS 7. Mechanics, Applied 8. Multibody systems 9. Multibody Systems and Mechanical Vibrations 10. NONLINEAR THEORIES 11. Technology and Engineering 12. VIBRATION
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TitleChaos, Fractals and Complexity
Author(s)Bountis, Tassos;Vallianatos, Filippos;Provata, Astero;Kugiumtzis, Dimitris;Kominis, Yannis
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXXV, 374 p. 102 illus., 85 illus. in color : online resource
Abstract NoteThis volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School ???Dynamical Systems and Complexity???, July 18 ??? 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world
ISBN,Price9783031374043
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. Computational neuroscience 4. DYNAMICS 5. EBOOK - SPRINGER 6. GEOMETRY 7. NONLINEAR THEORIES 8. SYSTEM THEORY
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