id sid tid token lemma pos c247dr29145 1 1 the the DET c247dr29145 1 2 characterization characterization NOUN c247dr29145 1 3 of of ADP c247dr29145 1 4 complex complex ADJ c247dr29145 1 5 physical physical ADJ c247dr29145 1 6 phenomena phenomena NOUN c247dr29145 1 7 , , PUNCT c247dr29145 1 8 often often ADV c247dr29145 1 9 modeled model VERB c247dr29145 1 10 as as ADP c247dr29145 1 11 nonlinear nonlinear ADJ c247dr29145 1 12 dynamical dynamical ADJ c247dr29145 1 13 systems system NOUN c247dr29145 1 14 , , PUNCT c247dr29145 1 15 is be AUX c247dr29145 1 16 a a DET c247dr29145 1 17 problem problem NOUN c247dr29145 1 18 of of ADP c247dr29145 1 19 frequent frequent ADJ c247dr29145 1 20 interest interest NOUN c247dr29145 1 21 in in ADP c247dr29145 1 22 science science NOUN c247dr29145 1 23 and and CCONJ c247dr29145 1 24 engineering engineering NOUN c247dr29145 1 25 . . PUNCT c247dr29145 2 1 the the DET c247dr29145 2 2 topology topology NOUN c247dr29145 2 3 of of ADP c247dr29145 2 4 a a DET c247dr29145 2 5 nonlinear nonlinear ADJ c247dr29145 2 6 system system NOUN c247dr29145 2 7 may may AUX c247dr29145 2 8 qualitatively qualitatively ADV c247dr29145 2 9 change change VERB c247dr29145 2 10 ( ( PUNCT c247dr29145 2 11 bifurcate bifurcate VERB c247dr29145 2 12 with with ADP c247dr29145 2 13 changes change NOUN c247dr29145 2 14 in in ADP c247dr29145 2 15 model model NOUN c247dr29145 2 16 parameters parameter NOUN c247dr29145 2 17 . . PUNCT c247dr29145 3 1 location location NOUN c247dr29145 3 2 of of ADP c247dr29145 3 3 equilibrium equilibrium NOUN c247dr29145 3 4 states state NOUN c247dr29145 3 5 and and CCONJ c247dr29145 3 6 bifurcations bifurcation NOUN c247dr29145 3 7 requires require VERB c247dr29145 3 8 the the DET c247dr29145 3 9 solution solution NOUN c247dr29145 3 10 of of ADP c247dr29145 3 11 a a DET c247dr29145 3 12 nonlinear nonlinear ADJ c247dr29145 3 13 algebraic algebraic ADJ c247dr29145 3 14 system system NOUN c247dr29145 3 15 , , PUNCT c247dr29145 3 16 but but CCONJ c247dr29145 3 17 standard standard ADJ c247dr29145 3 18 methods method NOUN c247dr29145 3 19 used use VERB c247dr29145 3 20 to to PART c247dr29145 3 21 solve solve VERB c247dr29145 3 22 such such ADJ c247dr29145 3 23 systems system NOUN c247dr29145 3 24 are be AUX c247dr29145 3 25 inherently inherently ADV c247dr29145 3 26 fallible fallible ADJ c247dr29145 3 27 and and CCONJ c247dr29145 3 28 may may AUX c247dr29145 3 29 fail fail VERB c247dr29145 3 30 to to PART c247dr29145 3 31 find find VERB c247dr29145 3 32 all all DET c247dr29145 3 33 solutions solution NOUN c247dr29145 3 34 . . PUNCT c247dr29145 4 1 complete complete ADJ c247dr29145 4 2 knowledge knowledge NOUN c247dr29145 4 3 of of ADP c247dr29145 4 4 the the DET c247dr29145 4 5 location location NOUN c247dr29145 4 6 and and CCONJ c247dr29145 4 7 nature nature NOUN c247dr29145 4 8 of of ADP c247dr29145 4 9 all all DET c247dr29145 4 10 solutions solution NOUN c247dr29145 4 11 to to ADP c247dr29145 4 12 a a DET c247dr29145 4 13 set set NOUN c247dr29145 4 14 of of ADP c247dr29145 4 15 nonlinear nonlinear ADJ c247dr29145 4 16 equations equation NOUN c247dr29145 4 17 is be AUX c247dr29145 4 18 necessary necessary ADJ c247dr29145 4 19 to to PART c247dr29145 4 20 reliably reliably ADV c247dr29145 4 21 analyze analyze VERB c247dr29145 4 22 model model NOUN c247dr29145 4 23 systems system NOUN c247dr29145 4 24 . . PUNCT c247dr29145 5 1 in in ADP c247dr29145 5 2 this this DET c247dr29145 5 3 work work NOUN c247dr29145 5 4 , , PUNCT c247dr29145 5 5 a a DET c247dr29145 5 6 new new ADJ c247dr29145 5 7 method method NOUN c247dr29145 5 8 for for ADP c247dr29145 5 9 bifurcation bifurcation NOUN c247dr29145 5 10 analysis analysis NOUN c247dr29145 5 11 was be AUX c247dr29145 5 12 developed develop VERB c247dr29145 5 13 based base VERB c247dr29145 5 14 upon upon SCONJ c247dr29145 5 15 interval interval NOUN c247dr29145 5 16 mathematics mathematic NOUN c247dr29145 5 17 , , PUNCT c247dr29145 5 18 specifically specifically ADV c247dr29145 5 19 an an DET c247dr29145 5 20 interval interval NOUN c247dr29145 5 21 - - PUNCT c247dr29145 5 22 newton newton NOUN c247dr29145 5 23 approach approach NOUN c247dr29145 5 24 combined combine VERB c247dr29145 5 25 with with ADP c247dr29145 5 26 generalized generalized ADJ c247dr29145 5 27 bisection bisection NOUN c247dr29145 5 28 . . PUNCT c247dr29145 6 1 this this DET c247dr29145 6 2 new new ADJ c247dr29145 6 3 bifurcation bifurcation NOUN c247dr29145 6 4 analysis analysis NOUN c247dr29145 6 5 technique technique NOUN c247dr29145 6 6 is be AUX c247dr29145 6 7 completely completely ADV c247dr29145 6 8 reliable reliable ADJ c247dr29145 6 9 , , PUNCT c247dr29145 6 10 providing provide VERB c247dr29145 6 11 a a DET c247dr29145 6 12 mathematical mathematical ADJ c247dr29145 6 13 and and CCONJ c247dr29145 6 14 computational computational ADJ c247dr29145 6 15 guarantee guarantee NOUN c247dr29145 6 16 that that SCONJ c247dr29145 6 17 all all DET c247dr29145 6 18 equilibrium equilibrium NOUN c247dr29145 6 19 states state NOUN c247dr29145 6 20 and and CCONJ c247dr29145 6 21 bifurcations bifurcation NOUN c247dr29145 6 22 within within ADP c247dr29145 6 23 parameter parameter NOUN c247dr29145 6 24 intervals interval NOUN c247dr29145 6 25 of of ADP c247dr29145 6 26 interest interest NOUN c247dr29145 6 27 will will AUX c247dr29145 6 28 be be AUX c247dr29145 6 29 located locate VERB c247dr29145 6 30 . . PUNCT c247dr29145 7 1 modeling model VERB c247dr29145 7 2 food food NOUN c247dr29145 7 3 chains chain NOUN c247dr29145 7 4 and and CCONJ c247dr29145 7 5 food food NOUN c247dr29145 7 6 webs webs NOUN c247dr29145 7 7 is be AUX c247dr29145 7 8 the the DET c247dr29145 7 9 application application NOUN c247dr29145 7 10 of of ADP c247dr29145 7 11 particular particular ADJ c247dr29145 7 12 interest interest NOUN c247dr29145 7 13 here here ADV c247dr29145 7 14 because because SCONJ c247dr29145 7 15 ecosystem ecosystem NOUN c247dr29145 7 16 models model NOUN c247dr29145 7 17 aid aid VERB c247dr29145 7 18 the the DET c247dr29145 7 19 proactive proactive ADJ c247dr29145 7 20 assessment assessment NOUN c247dr29145 7 21 and and CCONJ c247dr29145 7 22 management management NOUN c247dr29145 7 23 of of ADP c247dr29145 7 24 environmental environmental ADJ c247dr29145 7 25 risks risk NOUN c247dr29145 7 26 . . PUNCT c247dr29145 8 1 a a DET c247dr29145 8 2 new new ADJ c247dr29145 8 3 class class NOUN c247dr29145 8 4 of of ADP c247dr29145 8 5 compounds compound NOUN c247dr29145 8 6 known know VERB c247dr29145 8 7 as as ADP c247dr29145 8 8 room room NOUN c247dr29145 8 9 temperature temperature NOUN c247dr29145 8 10 ionic ionic ADJ c247dr29145 8 11 liquids liquid NOUN c247dr29145 8 12 ( ( PUNCT c247dr29145 8 13 rtils rtil NOUN c247dr29145 8 14 ) ) PUNCT c247dr29145 8 15 motivates motivate VERB c247dr29145 8 16 this this DET c247dr29145 8 17 interest interest NOUN c247dr29145 8 18 since since SCONJ c247dr29145 8 19 rtils rtil NOUN c247dr29145 8 20 show show VERB c247dr29145 8 21 great great ADJ c247dr29145 8 22 potential potential NOUN c247dr29145 8 23 in in ADP c247dr29145 8 24 several several ADJ c247dr29145 8 25 industrial industrial ADJ c247dr29145 8 26 applications application NOUN c247dr29145 8 27 . . PUNCT c247dr29145 9 1 rtils rtil NOUN c247dr29145 9 2 are be AUX c247dr29145 9 3 nonvolatile nonvolatile ADJ c247dr29145 9 4 ; ; PUNCT c247dr29145 9 5 therefore therefore ADV c247dr29145 9 6 , , PUNCT c247dr29145 9 7 their their PRON c247dr29145 9 8 use use NOUN c247dr29145 9 9 may may AUX c247dr29145 9 10 be be AUX c247dr29145 9 11 a a DET c247dr29145 9 12 ìøåàå_greenìøåàå ìøåàå_greenìøåàå NOUN c247dr29145 9 13 _ _ NOUN c247dr29145 9 14 alternative alternative NOUN c247dr29145 9 15 to to ADP c247dr29145 9 16 volatile volatile VERB c247dr29145 9 17 organic organic ADJ c247dr29145 9 18 compounds compound NOUN c247dr29145 9 19 , , PUNCT c247dr29145 9 20 a a DET c247dr29145 9 21 major major ADJ c247dr29145 9 22 source source NOUN c247dr29145 9 23 of of ADP c247dr29145 9 24 air air NOUN c247dr29145 9 25 pollution pollution NOUN c247dr29145 9 26 . . PUNCT c247dr29145 10 1 the the DET c247dr29145 10 2 environmental environmental ADJ c247dr29145 10 3 risks risk NOUN c247dr29145 10 4 of of ADP c247dr29145 10 5 rtils rtil NOUN c247dr29145 10 6 to to ADP c247dr29145 10 7 aqueous aqueous ADJ c247dr29145 10 8 ecosystems ecosystem NOUN c247dr29145 10 9 should should AUX c247dr29145 10 10 beassessed beassesse VERB c247dr29145 10 11 proactively proactively ADV c247dr29145 10 12 , , PUNCT c247dr29145 10 13 prior prior ADV c247dr29145 10 14 to to ADP c247dr29145 10 15 industrial industrial ADJ c247dr29145 10 16 scale scale NOUN c247dr29145 10 17 use use NOUN c247dr29145 10 18 ; ; PUNCT c247dr29145 10 19 ecosystem ecosystem NOUN c247dr29145 10 20 modeling modeling NOUN c247dr29145 10 21 is be AUX c247dr29145 10 22 a a DET c247dr29145 10 23 key key ADJ c247dr29145 10 24 tool tool NOUN c247dr29145 10 25 needed need VERB c247dr29145 10 26 to to PART c247dr29145 10 27 accomplish accomplish VERB c247dr29145 10 28 this this PRON c247dr29145 10 29 . . PUNCT c247dr29145 11 1 bifurcation bifurcation NOUN c247dr29145 11 2 analysis analysis NOUN c247dr29145 11 3 of of ADP c247dr29145 11 4 food food NOUN c247dr29145 11 5 chain chain NOUN c247dr29145 11 6 and and CCONJ c247dr29145 11 7 food food NOUN c247dr29145 11 8 web web NOUN c247dr29145 11 9 models model NOUN c247dr29145 11 10 aids aid VERB c247dr29145 11 11 in in ADP c247dr29145 11 12 determining determine VERB c247dr29145 11 13 ecologically ecologically ADV c247dr29145 11 14 relevant relevant ADJ c247dr29145 11 15 parameters parameter NOUN c247dr29145 11 16 from from ADP c247dr29145 11 17 a a DET c247dr29145 11 18 risk risk NOUN c247dr29145 11 19 management management NOUN c247dr29145 11 20 perspective perspective NOUN c247dr29145 11 21 . . PUNCT c247dr29145 12 1 using use VERB c247dr29145 12 2 mathematical mathematical ADJ c247dr29145 12 3 models model NOUN c247dr29145 12 4 to to PART c247dr29145 12 5 study study VERB c247dr29145 12 6 species specie NOUN c247dr29145 12 7 interdependence interdependence NOUN c247dr29145 12 8 and and CCONJ c247dr29145 12 9 contaminant contaminant ADJ c247dr29145 12 10 effects effect NOUN c247dr29145 12 11 in in ADP c247dr29145 12 12 ecosystems ecosystem NOUN c247dr29145 12 13 may may AUX c247dr29145 12 14 elucidate elucidate VERB c247dr29145 12 15 what what DET c247dr29145 12 16 steps step NOUN c247dr29145 12 17 can can AUX c247dr29145 12 18 be be AUX c247dr29145 12 19 taken take VERB c247dr29145 12 20 to to PART c247dr29145 12 21 mitigate mitigate VERB c247dr29145 12 22 the the DET c247dr29145 12 23 environmental environmental ADJ c247dr29145 12 24 consequences consequence NOUN c247dr29145 12 25 of of ADP c247dr29145 12 26 pollution.the pollution.the DET c247dr29145 12 27 new new ADJ c247dr29145 12 28 bifurcation bifurcation NOUN c247dr29145 12 29 analysis analysis NOUN c247dr29145 12 30 method method NOUN c247dr29145 12 31 was be AUX c247dr29145 12 32 tested test VERB c247dr29145 12 33 by by ADP c247dr29145 12 34 application application NOUN c247dr29145 12 35 to to ADP c247dr29145 12 36 a a DET c247dr29145 12 37 tritrophic tritrophic ADJ c247dr29145 12 38 rosenzweig rosenzweig NOUN c247dr29145 12 39 - - PUNCT c247dr29145 12 40 macarthur macarthur NOUN c247dr29145 12 41 model model NOUN c247dr29145 12 42 and and CCONJ c247dr29145 12 43 two two NUM c247dr29145 12 44 variations variation NOUN c247dr29145 12 45 thereof thereof ADV c247dr29145 12 46 , , PUNCT c247dr29145 12 47 a a DET c247dr29145 12 48 tritrophic tritrophic ADJ c247dr29145 12 49 system system NOUN c247dr29145 12 50 in in ADP c247dr29145 12 51 a a DET c247dr29145 12 52 chemostat chemostat NOUN c247dr29145 12 53 ( ( PUNCT c247dr29145 12 54 canaleìøåàå_s canaleìøåàå_s NOUN c247dr29145 12 55 model model NOUN c247dr29145 12 56 ) ) PUNCT c247dr29145 12 57 , , PUNCT c247dr29145 12 58 and and CCONJ c247dr29145 12 59 an an DET c247dr29145 12 60 experimentally experimentally ADV c247dr29145 12 61 verified verify VERB c247dr29145 12 62 algae algae NOUN c247dr29145 12 63 - - PUNCT c247dr29145 12 64 rotifer rotifer NOUN c247dr29145 12 65 food food NOUN c247dr29145 12 66 chain chain NOUN c247dr29145 12 67 model model NOUN c247dr29145 12 68 . . PUNCT c247dr29145 13 1 the the DET c247dr29145 13 2 technique technique NOUN c247dr29145 13 3 was be AUX c247dr29145 13 4 also also ADV c247dr29145 13 5 applied apply VERB c247dr29145 13 6 to to ADP c247dr29145 13 7 a a DET c247dr29145 13 8 seven seven NUM c247dr29145 13 9 species specie NOUN c247dr29145 13 10 and and CCONJ c247dr29145 13 11 a a DET c247dr29145 13 12 twelve twelve NUM c247dr29145 13 13 species specie NOUN c247dr29145 13 14 food food NOUN c247dr29145 13 15 web web NOUN c247dr29145 13 16 model model NOUN c247dr29145 13 17 , , PUNCT c247dr29145 13 18 neither neither CCONJ c247dr29145 13 19 having having AUX c247dr29145 13 20 been be AUX c247dr29145 13 21 previously previously ADV c247dr29145 13 22 solved solve VERB c247dr29145 13 23 . . PUNCT c247dr29145 14 1 bifurcation bifurcation NOUN c247dr29145 14 2 analysis analysis NOUN c247dr29145 14 3 of of ADP c247dr29145 14 4 a a DET c247dr29145 14 5 modification modification NOUN c247dr29145 14 6 of of ADP c247dr29145 14 7 canaleìøåàå_s canaleìøåàå_s NUM c247dr29145 14 8 model model NOUN c247dr29145 14 9 was be AUX c247dr29145 14 10 used use VERB c247dr29145 14 11 to to PART c247dr29145 14 12 study study VERB c247dr29145 14 13 contamination contamination NOUN c247dr29145 14 14 effects effect NOUN c247dr29145 14 15 under under ADP c247dr29145 14 16 different different ADJ c247dr29145 14 17 scenarios scenario NOUN c247dr29145 14 18 of of ADP c247dr29145 14 19 lethality lethality NOUN c247dr29145 14 20 to to ADP c247dr29145 14 21 species specie NOUN c247dr29145 14 22 in in ADP c247dr29145 14 23 the the DET c247dr29145 14 24 food food NOUN c247dr29145 14 25 chain.the chain.the DET c247dr29145 14 26 new new ADJ c247dr29145 14 27 analysis analysis NOUN c247dr29145 14 28 technique technique NOUN c247dr29145 14 29 was be AUX c247dr29145 14 30 also also ADV c247dr29145 14 31 used use VERB c247dr29145 14 32 to to PART c247dr29145 14 33 study study VERB c247dr29145 14 34 a a DET c247dr29145 14 35 continuously continuously ADV c247dr29145 14 36 stirred stir VERB c247dr29145 14 37 tank tank NOUN c247dr29145 14 38 reactor reactor NOUN c247dr29145 14 39 ( ( PUNCT c247dr29145 14 40 cstr cstr NOUN c247dr29145 14 41 ) ) PUNCT c247dr29145 14 42 model model NOUN c247dr29145 14 43 . . PUNCT c247dr29145 15 1 such such ADJ c247dr29145 15 2 models model NOUN c247dr29145 15 3 are be AUX c247dr29145 15 4 known know VERB c247dr29145 15 5 to to PART c247dr29145 15 6 produce produce VERB c247dr29145 15 7 isolated isolated ADJ c247dr29145 15 8 solution solution NOUN c247dr29145 15 9 branches branch NOUN c247dr29145 15 10 ( ( PUNCT c247dr29145 15 11 isola isola PROPN c247dr29145 15 12 ) ) PUNCT c247dr29145 15 13 , , PUNCT c247dr29145 15 14 which which PRON c247dr29145 15 15 standard standard ADJ c247dr29145 15 16 methods method NOUN c247dr29145 15 17 may may AUX c247dr29145 15 18 fail fail VERB c247dr29145 15 19 to to PART c247dr29145 15 20 locate locate VERB c247dr29145 15 21 . . PUNCT c247dr29145 16 1 locating locate VERB c247dr29145 16 2 isola isola PROPN c247dr29145 16 3 is be AUX c247dr29145 16 4 critical critical ADJ c247dr29145 16 5 to to ADP c247dr29145 16 6 the the DET c247dr29145 16 7 full full ADJ c247dr29145 16 8 characterization characterization NOUN c247dr29145 16 9 of of ADP c247dr29145 16 10 reactor reactor NOUN c247dr29145 16 11 behavior behavior NOUN c247dr29145 16 12 . . PUNCT c247dr29145 17 1 the the DET c247dr29145 17 2 interval interval NOUN c247dr29145 17 3 - - PUNCT c247dr29145 17 4 based base VERB c247dr29145 17 5 technique technique NOUN c247dr29145 17 6 succeeded succeed VERB c247dr29145 17 7 in in ADP c247dr29145 17 8 locating locate VERB c247dr29145 17 9 all all DET c247dr29145 17 10 solutions solution NOUN c247dr29145 17 11 , , PUNCT c247dr29145 17 12 including include VERB c247dr29145 17 13 those those PRON c247dr29145 17 14 on on ADP c247dr29145 17 15 isola isola PROPN c247dr29145 17 16 . . PUNCT