Regularity and Stochasticity of Nonlinear Dynamical Systems
Springer International Publishing (Verlag)
978-3-319-86313-9 (ISBN)
This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty.
Dimitri Volchenkov is Associate Professor at the Department of Mathematics & Statistics, Texas Tech University, Lubbock, TX, USA and Sichuan University of Science and Engineering, Zigong, China. Xavier Leoncini is Associate Professor at Aix-Marseille University, France.
Solvability of Some Integro-Di erential Equations with Anomalous Di usion.- Poincare Recurrences in Ergodic Systems Without Mixing.- Success, Hierarchy, and Inequality under Uncertainty.- Grazing in Impulsive Differential Equations.- On Local Topological Classification of Two-dimensional Orientable, Nonorientable and Half-orientable Horseshoes.- From Chaos to Order in a Ring of Coupled Oscillator Swith Frequency Mismatch.- Dynamics of some nonlinear meromorphic functions.- Dynamics of oscillatory networks with pulse delayed coupling.- Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing Oscillator.- Travelable Period-1 Motions to Chaos in a Periodically Excited Pendulum.- Automorphic systems and differential-invariant solutions.
| Erscheinungsdatum | 03.10.2018 |
|---|---|
| Reihe/Serie | Nonlinear Systems and Complexity |
| Zusatzinfo | X, 311 p. 99 illus., 79 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 498 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik | |
| Schlagworte | Classification of orientable horseshoes • Complexity • Differential-invariant solutions • From chaos to order • From periodic motions to chaos • Grazing in Impulsive differential equations • Impulsive dynamical systems • Nonlinear differential equation solvability • Nonlinear Time-delay Systems • Partial differential equations • Uncertainty in success, hierarchy and inequality |
| ISBN-10 | 3-319-86313-4 / 3319863134 |
| ISBN-13 | 978-3-319-86313-9 / 9783319863139 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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