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Table of Contents
Method of solution of x Ax
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amplitude Answers to problems apply approximately Assuming becomes called centre Chapter complex confirm consider constant contain corresponding eigenvectors cost czet defined dependent diagram differential equations dimension direction eigenvalues eigenvector corresponding elements equilibrium point Example Figure focus force frequency friction functions given gives independent eigenvectors independent solutions initial conditions initial point initial value problem INTRODUCTION isoclines limit cycle linearised linearly independent mathematics matrix method motion multiplication node nonlinear nonlinear differential equations Note obtain origin oscillation oscillatory particular periodic phase-plane plane positive possible problems properties reduced repeated representing saddle satisfied Show shown in Fig simple singular point sint solution curves solution of equation Solve Solve the system spring stable Substituting symmetric matrix techniques Theorem unstable vector space write written zero λι