Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Nonlinear Dynamics and Stochastic Mechanics
 
Edited by: Wolfgang H. Kliemann Iowa State University, Ames, IA
William F. Langford University of Guelph, Guelph, ON, Canada
N. S. Namachchivaya University of Illinois, Urbana-Champaign, Urbana, IL
A co-publication of the AMS and Fields Institute
Nonlinear Dynamics and Stochastic Mechanics
Hardcover ISBN:  978-0-8218-0257-1
Product Code:  FIC/9
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
eBook ISBN:  978-1-4704-2977-5
Product Code:  FIC/9.E
List Price: $100.00
MAA Member Price: $90.00
AMS Member Price: $80.00
Hardcover ISBN:  978-0-8218-0257-1
eBook: ISBN:  978-1-4704-2977-5
Product Code:  FIC/9.B
List Price: $207.00 $157.00
MAA Member Price: $186.30 $141.30
AMS Member Price: $165.60 $125.60
Nonlinear Dynamics and Stochastic Mechanics
Click above image for expanded view
Nonlinear Dynamics and Stochastic Mechanics
Edited by: Wolfgang H. Kliemann Iowa State University, Ames, IA
William F. Langford University of Guelph, Guelph, ON, Canada
N. S. Namachchivaya University of Illinois, Urbana-Champaign, Urbana, IL
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-0257-1
Product Code:  FIC/9
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
eBook ISBN:  978-1-4704-2977-5
Product Code:  FIC/9.E
List Price: $100.00
MAA Member Price: $90.00
AMS Member Price: $80.00
Hardcover ISBN:  978-0-8218-0257-1
eBook ISBN:  978-1-4704-2977-5
Product Code:  FIC/9.B
List Price: $207.00 $157.00
MAA Member Price: $186.30 $141.30
AMS Member Price: $165.60 $125.60
  • Book Details
     
     
    Fields Institute Communications
    Volume: 91996; 238 pp
    MSC: Primary 93; 70; Secondary 34;

    This volume contains the proceedings of the International Symposium on Nonlinear Dynamics and Stochastic Mechanics held at The Fields Institute for Research in Mathematical Sciences from August–September (1993) as part of the 1992–1993 Program Year on Dynamical Systems and Bifurcation Theory.

    In recent years, mathematicians and applied scientists have made significant progress in understanding and have developed powerful tools for the analysis of the complex behavior of deterministic and stochastic dynamical systems. By moving beyond classical perturbation methods to more general geometrical, computational, and analytical methods, this book is at the forefront in transferring these new mathematical ideas into engineering practice.

    This work presents the solutions of some specific problems in engineering structures and mechanics and demonstrates by explicit example these new methods of solution.

    Features:

    • Joins problems in engineering science to recent developments in the mathematical theory of dynamical systems.
    • Offers novel applications of dynamical systems theory.
    • Presents numerical methods for stochastic systems.
    • Compares analytical and numerical studies near the onset of chaos.
    • In one volume, brings together and contrasts deterministic and stochastic models of “chaos”.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students, applied mathematicians, and engineers working in nonlinear chaotic and stochastic behavior of mechanical systems and structures.

  • Table of Contents
     
     
    • Chapters
    • Bappaditya Banerjee and Anil Bajaj — Chaotic responses in two degree-of-freedom systems with 1:2 internal resonances
    • Lawrence Bergman, Billie Spencer, Steven Wojtkiewicz and Erik Johnson — Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations
    • Christian Bucher — Stochastic stability of systems with random properties
    • Stephen Crandall — Oil whirl and oil whip, nonlinear limit-cycle phenomena
    • Earl Dowell and Andrew Katz — A basic explanation of homoclinic intersection in the twin-well duffing oscillator
    • Norbert Hofmann and Eckhard Platen — Stability of superimplicit numerical methods for stochastic differential equations
    • R Ibrahim and Y Yoon — Response statistics of nonlinear systems to parametric filtered white noise
    • Rafail Khasminskii — On robustness of some concepts in stability of stochastic differential equations
    • Y Li, I Elishakoff, J Starnes and M Shinozuka — Prediction of natural frequency and buckling load variability due to uncertainty in material properties by convex modeling
    • Yuandan Lin and G Cai — Some results related to failure of stochastic structural systems
    • P Meehan and S Asokanthan — Chaotic motion in a rotating body with internal energy dissipation
    • Volker Wihstutz — Numerics for Lyapunov exponents of hypoelliptic linear stochastic systems
    • Wei-Chau Xie and S Ariaratnam — Vibration mode localization in large randomly disordered continuous beams
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 91996; 238 pp
MSC: Primary 93; 70; Secondary 34;

This volume contains the proceedings of the International Symposium on Nonlinear Dynamics and Stochastic Mechanics held at The Fields Institute for Research in Mathematical Sciences from August–September (1993) as part of the 1992–1993 Program Year on Dynamical Systems and Bifurcation Theory.

In recent years, mathematicians and applied scientists have made significant progress in understanding and have developed powerful tools for the analysis of the complex behavior of deterministic and stochastic dynamical systems. By moving beyond classical perturbation methods to more general geometrical, computational, and analytical methods, this book is at the forefront in transferring these new mathematical ideas into engineering practice.

This work presents the solutions of some specific problems in engineering structures and mechanics and demonstrates by explicit example these new methods of solution.

Features:

  • Joins problems in engineering science to recent developments in the mathematical theory of dynamical systems.
  • Offers novel applications of dynamical systems theory.
  • Presents numerical methods for stochastic systems.
  • Compares analytical and numerical studies near the onset of chaos.
  • In one volume, brings together and contrasts deterministic and stochastic models of “chaos”.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students, applied mathematicians, and engineers working in nonlinear chaotic and stochastic behavior of mechanical systems and structures.

  • Chapters
  • Bappaditya Banerjee and Anil Bajaj — Chaotic responses in two degree-of-freedom systems with 1:2 internal resonances
  • Lawrence Bergman, Billie Spencer, Steven Wojtkiewicz and Erik Johnson — Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations
  • Christian Bucher — Stochastic stability of systems with random properties
  • Stephen Crandall — Oil whirl and oil whip, nonlinear limit-cycle phenomena
  • Earl Dowell and Andrew Katz — A basic explanation of homoclinic intersection in the twin-well duffing oscillator
  • Norbert Hofmann and Eckhard Platen — Stability of superimplicit numerical methods for stochastic differential equations
  • R Ibrahim and Y Yoon — Response statistics of nonlinear systems to parametric filtered white noise
  • Rafail Khasminskii — On robustness of some concepts in stability of stochastic differential equations
  • Y Li, I Elishakoff, J Starnes and M Shinozuka — Prediction of natural frequency and buckling load variability due to uncertainty in material properties by convex modeling
  • Yuandan Lin and G Cai — Some results related to failure of stochastic structural systems
  • P Meehan and S Asokanthan — Chaotic motion in a rotating body with internal energy dissipation
  • Volker Wihstutz — Numerics for Lyapunov exponents of hypoelliptic linear stochastic systems
  • Wei-Chau Xie and S Ariaratnam — Vibration mode localization in large randomly disordered continuous beams
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.