Uncertainty in the dynamics of conservative maps
This paper studies the effect of uncertainty, using random perturbations, on area preserving maps of R/sub 2/ to itself. We focus on the standard map and a discrete Duffing oscillator as specific examples. We relate the level of uncertainty to the large-scale features in the dynamics in a precise wa...
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| creator | Junge, O. Marsden, J.E. Mezic, I. |
| description | This paper studies the effect of uncertainty, using random perturbations, on area preserving maps of R/sub 2/ to itself. We focus on the standard map and a discrete Duffing oscillator as specific examples. We relate the level of uncertainty to the large-scale features in the dynamics in a precise way. We also study the effect of such perturbations on bifurcations in such maps. The main tools used for these investigations are a study of the eigenfunction and eigenvalue structure of the associated Perron-Frobenius operator along with set oriented methods for the numerical computations. |
| doi_str_mv | 10.1109/CDC.2004.1430379 |
| format | Conference Proceeding |
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Systems</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Exact sciences and technology</subject><subject>Large-scale systems</subject><subject>Mathematics</subject><subject>Mechanical systems</subject><subject>Oscillators</subject><subject>Stochastic processes</subject><subject>Uncertainty</subject><issn>0191-2216</issn><isbn>9780780386822</isbn><isbn>0780386825</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2004</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFkDtrwzAUhQVtoWmavdBFS0e7V9K1HmNxnxDo0szhWpGoSuwYywT872twoXDgDN_HGQ5jdwJKIcA91s91KQGwFKhAGXfBNs5YmKOstlJeshUIJwophb5mNzn_AIAFrVcMdp0Pw0ipGyeeOj5-B36YOmqTz_wUuT91OQxnGtM58Jb6fMuuIh1z2Pz1mu1eX77q92L7-fZRP20LLx2OhSGDWmJ00ZsGGo-xiqZqGu1RkyFJQXsjna0EgkcxM0CjBSjvUNrmoNbsYdntKXs6xoE6n_K-H1JLw7QXBp1VWs7e_eKlEMI_Xo5Qv_fvT7w</recordid><startdate>2004</startdate><enddate>2004</enddate><creator>Junge, O.</creator><creator>Marsden, J.E.</creator><creator>Mezic, I.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope><scope>IQODW</scope></search><sort><creationdate>2004</creationdate><title>Uncertainty in the dynamics of conservative maps</title><author>Junge, O. ; Marsden, J.E. ; Mezic, I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c294t-7a74624f9fc7b0bc4f5f75bb6c46a7a2ae6c72985140c41f750476103c9428bd3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Applied sciences</topic><topic>Bifurcation</topic><topic>Centralized control</topic><topic>Computer science; control theory; systems</topic><topic>Control systems</topic><topic>Control theory. Systems</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Exact sciences and technology</topic><topic>Large-scale systems</topic><topic>Mathematics</topic><topic>Mechanical systems</topic><topic>Oscillators</topic><topic>Stochastic processes</topic><topic>Uncertainty</topic><toplevel>online_resources</toplevel><creatorcontrib>Junge, O.</creatorcontrib><creatorcontrib>Marsden, J.E.</creatorcontrib><creatorcontrib>Mezic, I.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Junge, O.</au><au>Marsden, J.E.</au><au>Mezic, I.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Uncertainty in the dynamics of conservative maps</atitle><btitle>2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. 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| identifier | ISSN: 0191-2216 |
| ispartof | 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004, Vol.2, p.2225-2230 Vol.2 |
| issn | 0191-2216 |
| language | eng |
| recordid | cdi_ieee_primary_1430379 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Applied sciences Bifurcation Centralized control Computer science control theory systems Control systems Control theory. Systems Eigenvalues and eigenfunctions Exact sciences and technology Large-scale systems Mathematics Mechanical systems Oscillators Stochastic processes Uncertainty |
| title | Uncertainty in the dynamics of conservative maps |
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