LYAPUNOV NONLINEAR INSTABILITY


By : BEN YAHIA Faycal : CSHP10
CONTENTS
 
I.   INTRODUCTION

II.  LYAPUNOV'S DIRECT METHOD

III. LYAPUNOV THEOREM FOR LOCAL STABILITY

IV. CLASSICAL STUDY OF NONLINEAR MASS-DAMPER-SPRING STABILITY

MATLAB  MAIN PROGRAM
MATLAB SUBPROGRAMS
RESULTS
V.  COMPARISON BETWEEN LYAPUNOV AND CLASSICAL METHOD
EQUILIBRIUM POINTS
EQUILIBRIUM POINTS STABILITY
NUMERICAL RESULTS
VI. CONCLUSION