Smooth and nonsmooth high dimensional chaos and the melnikov-type methods /

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This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the a...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Awrejcewicz, J. (Jan)
Autres auteurs: Holicke, Mariusz M.
Format: Électronique eBook
Langue:Inglés
Publié: Singapore ; Hackensack, NJ : World Scientific, ©2007.
Collection:World Scientific series on nonlinear science. Monographs and treatises ; v. 60.
Sujets:
Chaotic behavior in systems.
Differentiable dynamical systems.
Nonlinear oscillators.
Chaos.
Dynamique différentiable.
Oscillateurs non linéaires.
SCIENCE > Chaotic Behavior in Systems.
Chaotic behavior in systems
Differentiable dynamical systems
Nonlinear oscillators
Accès en ligne:Texto completo
Table des matières:
  • 1. A role of the Melnikov-type methods in applied sciences
  • 2. Classical Melnikov approach
  • 3. Homoclinic chaos criterion in a rotated froude pendulum with dry fiction
  • 4. Smooth and nonsmooth dynamics of a 1uasi-autonomous oscillator with coulomb and viscous frictions
  • 5. Application of the Melnikov-Gruendler method to mechanical systems
  • 6. A self-excited spherical pendulum
  • 7. A double self-excited duffing-type oscillator
  • 8. A triple self-excited duffing-type oscillator.

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