Nonlinear Dynamics, Chaos, and Complexity by Dimitri Volchenkov
This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions.
The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics.The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).
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Scale Invariance in Nonlinear Dynamical Systems
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Random Vibration with Machine Learning Method
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Partial Differential Equations and Solitary Waves Theory
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Dynamical Phase Transitions in Chaotic Systems
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Symmetries and Applications of Differential Equations
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Two-Dimensional Quadratic Nonlinear Systems
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Bifurcation and Stability in Nonlinear Discrete Systems
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Analytical Dynamics of Nonlinear Rotors
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Electron-Photon Cascades
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Theory of Hybrid Systems: Deterministic and Stochastic
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Scaling Laws in Dynamical Systems
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Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
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The Many Facets of Complexity Science
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Fractional Derivatives for Physicists and Engineers
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Bifurcation Dynamics in Polynomial Discrete Systems
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Approximate and Renormgroup Symmetries
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Discontinuous Dynamical Systems on Time-varying Domains
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Mathematical Topics on Modelling Complex Systems
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Galloping Instability to Chaos of Cables
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Type-2 Fuzzy Logic
| SKU | Unavailable |
| ISBN 13 | 9789811590368 |
| ISBN 10 | 9811590362 |
| Title | Nonlinear Dynamics, Chaos, and Complexity |
| Author | Dimitri Volchenkov |
| Series | Nonlinear Physical Science |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Verlag, Singapore |
| Year published | 2021-12-16 |
| Number of pages | 198 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |