International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics
eBook - ePub

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics

  1. 520 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics

About this book

Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.

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Yes, you can access International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics by Joseph Lasalle in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Contributors
  6. Preface
  7. Chapter 1: The Method of Integral Manifolds in the Theory of Nonlinear Oscillations
  8. Chapter 2: Sur un ThéorÚme de Seifert sur les Trajectoires Fermées de Certains Champs de Vecteurs
  9. Chapter 3: Generic Properties of Differential Equations
  10. Chapter 4: The Density Theorem for Structurally Stable Systems on a Two Dimensional Manifold
  11. Chapter 5: Beurteilung Nichtlinearer Systeme auf der Grundlage der StrukturstabilitÀt
  12. Chapter 6: Periodic Solutions of Hyperbolic Partial Differential Equations
  13. Chapter 7: Coupling in Certain Classes of Weakly Nonlinear Vibrating Systems
  14. Chapter 8: Perturbation Theory for Almost Periodic Solutions for Undamped Nonlinear Differential Equations
  15. Chapter 9: Asymptotic System of a Perturbed System
  16. Chapter 10: On Some New Long Periodic Solutions of The Plane Restricted Three Body Problem
  17. Chapter 11: Continuous Groups and Autosynartetic Solutions
  18. Chapter 12: Autosynartetic Families of Solutions
  19. Chapter 13: Periodic Functions Generated as Solutions of Nonlinear Differential-Difference Equations
  20. Chapter 14: Uniformly Valid Asymptotic Approximations for Certain Non-Linear Differential Equations
  21. Chapter 15: New Directions of Research in the Theory of Differential Equations
  22. Chapter 16: Some Aspects of Quasilinearization
  23. Chapter 17: On the Differential Equations of Electrical Circuits and the Global Nature of the Solutions
  24. Chapter 18: Differential — Difference Equations
  25. Chapter 19: Transport Theory, Invariant Imbedding, and Two-Point Boundary Value Problems
  26. Chapter 20: Numerical Study of Periodic Solutions of the van der Pol Equation
  27. Chapter 21: Finite Elastic Deformation of a Plane Strain Wedgeshaped Radial Crack in a Compressible Cylinder
  28. Chapter 22: Wave Propagation in Non-Simple Media
  29. Chapter 23: Some Nonlinear Systems of Differential Equations Equivalent to Linear Systems
  30. Chapter 24: A Class of Characteristic-Value Problems
  31. Chapter 25: Association of Partial Differential Equations with Ordinary Ones and Its Applications
  32. Chapter 26: Stochastic Approximation and Its Application to Problems of Prediction and Control Synthesis
  33. Chapter 27: Boundedness and Stability
  34. Chapter 28: Discrete Time Optimal Control Systems
  35. Chapter 29: The Principle of Optimal Evolution
  36. Chapter 30: A Geometric Interpretation of Pontryagin’s Maximum Principle
  37. Chapter 31: On the Accessibility Problem in Control Theory
  38. Chapter 32: Time Optimal Control of Linear Systems with Bounded Controls
  39. Chapter 33: Controllable Stability and Equivalent Nonlinear Programming Problem
  40. Chapter 34: Periodic Solutions of Singular Perturbation Problems
  41. Chapter 35: Ultimately Periodic Behavior in a Class of Non-Linear Servomechanisms
  42. Chapter 36: Determining the Switching Criterion for Time-Optimal Control
  43. Chapter 37: On the Pontryagin Maximum Principle
  44. Chapter 38: The Nonlinear Effect, Arising from White Noise and the Flicker Effect, in Nuclear Resonance Spectrometers of the “Marginal Oscillator” Type
  45. Chapter 39: L’Extension de la MĂ©thode de Nyquist aux Boucles Non-LinĂ©aires. Application Ă  L’Étude de la StabilitĂ© des RĂ©acteurs NuclĂ©aires
  46. Chapter 40: A Contribution to Liapunov’s Second Method: Nonlinear Autonomous Systems
  47. Chapter 41: An Analysis of the Bistability of the Parametron
  48. Chapter 42: Liapunov Functions and Comparison Theorems
  49. Chapter 43: Structures Transverse to a Vector Field
  50. Chapter 44: Systems of Differential Equations without Linear Terms
  51. Chapter 45: Prolongations and Generalized Liapunov Functions
  52. Chapter 46: Stability under Perturbations in Generalized Dynamical Systems
  53. Chapter 47: A Functional-Differential System of Neutral Type Arising in a Two-Body Problem of Classical Electrodynamics
  54. Chapter 48: Asymptotic Solutions of a Linear Ordinary Differential Equation of nth Order about a Simple Turning Point
  55. Chapter 49: A Boundary Value Problem for a Singularly Perturbed System of Nonlinear Differential Equations
  56. Author Index
  57. Subject Index