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Continuation of Periodic Solutions of Dissipative and Conservative Systems: Application to Elastic Pendulum

2009
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Mathematical Problems in Engineering
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Continuation is an efficient algorithm for finding solutions of systems of nonlinear algebraic equations where the solutions form a one-dimensional continuum. Such systems arise naturally when investigating equilibrium points and periodic solutions of ordinary differential equations with one parameter. Continuation of isolated periodic solutions of dissipative systems is a well-established technique. Less attention has been devoted to continuation of periodic solutions of conservative systems,

doi:10.1155/2009/104547
fatcat:t5ctckhryfb7vjkrs5biw6szti