Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces
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- 作者：K.D. Mease ; 1 ; a ; kmease@uci.edu" class="auth_mail" title="E-mail the corresponding author ; U. Topcu2 ; a ; utopcu@seas.upenn.edu" class="auth_mail" title="E-mail the corresponding author ; E. Aykutluğ2 ; a ; erkut.aykutlug@gmail.com" class="auth_mail" title="E-mail the corresponding author ; eaykutlu@uci.edu" class="auth_mail" title="E-mail the corresponding author ; M. Maggia2 ; a ; mmaggia@uci.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Nonlinear dynamics ; Multiple timescales ; Slow manifold ; Center manifold ; Finite-time Lyapunov exponents ; Model reduction
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：July 2016
- 年：2016
- 卷：36
- 期：Complete
- 页码：148-174
- 全文大小：1685 K
文摘
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Boundary-layer type, two-timescale dynamics are characterized.
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Finite-time Lyapunov exponents indicate timescales in tangent linear dynamics and finite-time Lyapunov subspaces indicate the associated tangent space geometry.
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Points on a center manifold are determined when such a manifold exists.