Simulating continuous dynamical systems under conditions of ... - ULB

"!#$ !&%'() *+,!&%" -/.' 0! 1 %)2 2(-3 4)0! 1 5""2674 11 %)5 890!: ; =@?BADCFE=HGJI@?LKNMOPQ< RHT(S UWV XZY[T(\8T(]^Y`_Qa bc]edgfX[\VY[hji^kLTml@no]LhqprTsX[tZhuY T&S vFhqw@X[T_eT&xyX[k@z@T({q{jTst(l|x"T({q}hjke\ Ts\Vhq{~Z}mw|f]Y[T6JkL{qwF V w|T (( Lmm X[fwWVwehq{jhuYc'V]L_U|fmtZtZhqwLhq{qhuYY[LTsfXZ_@T6V{y`hqY[_@hqBTNX[T(]^Y:Yc@U|T(t#fdJke]L(TNXZ YVhq]Yc^^ eToULVU|TsX"_ehqtZ(ketZtZT(t"Y[LT)X[f{jTofdBY[LTstZT9d>fX[\V{qhqtZ\8t"hq]8Y[LT`tZhq\ ke{jVY[hqfm]fdQ(f]^Y[hj]@ kefmketo_@]WV\8hq6V{BtetY[Ts\8t `LTsX[TULVXV\8TNY[TsX[t`V]L_WfX9hj]ehuY[hDV{7(f]W_@hqY[hqf]Lt9VX[T&kL]e(TsXZYVhj]Q T_eTNX[hjpmTV]LV{uY[hj(V{q{uY[LTJT(prfm{qk@Y[hjf]{jV(fdU|fmtZtZhqwehj{qhuYH_ehqtYZX[hqwLk@Y[hjf]Lt)hq]H(f]^Y[hj]k@ fkLt&_e]LV\8hq6V{-t@tY[T(\V]L_"T(f\8UWVX[T#huY`huY[(f]LtZfm{qhj_LV Y[T6_ X[TstZkL{uY[thq]UeX[fwWVwLhq{qhqYc Y[eT(fXZ^| LTV]WV{q@tZhqthq{q{jketYZXVY[T(tY[eT#{qhq\8huY[tfd"(fm]prTs]Y[hqf]WV{fm]^Y[T8 V X[{jf5Y[T(L]Lhji^kLTst d>fXY[LT tZhq\#kL{jVY[hqfm] fdQ_@@]LV\8hq6V{t@tY[T(\8t-`eTsX[T)Y[LT ke]L(TsXZYVhq]Yc:hjt¡Tsz@U@X[T(tZtZT6_ hq]8VJ]efm] U@X[fmwLVwLhq{qhqtY[hq dgfX[\H T#tZef6¢Y[WVYoY[LT#hj]^Y[TsXVsY[hqfm]Tsz@hjtY[hq]e}w|TsYc T(Ts] Y[eT UeX[fwWVwLhq{qhqYc _@hqtYZX[hjwekeY[hqfm]HV]W_5Y[LT_e]LV\8hq(t)fdY[LTt@tY[T(\£\V(UeX[f_@kL(TmlLhq]tZfm\8T(VtZT(t(lBV]Hhq]WVs skeXVY[T)fkeY[(f\8T)fd|Y[eT9fm]^Y[T9 VX[{qf&tZhq\ kL{jV Y[hjf]Flm\V¤hq]L}oY[eT(]8V_ephqt[VwL{qT)Y[LT Vm_efUeY[hqfm] fd¡V]H¥ VULU@X[fmU@X[hDV Y[TU|fmtZtZhqwLhq{qhqtY[hq:Y[T(L]ehjikeTm {qtZfel TU@X[fmU|ftZT&V#]LTNV{q}mfX[hqY[e\¦dgfX9Y[eTJ]kL\8TNX[hj(V{BtZhq\ kL{jV Y[hjf]fd¡V _@huBTsX[T(]^Y[hjV{ t@tY[T(\Hly`LTsX[TY[LT kL]e(TsXZYVhj]^Yc§fd:ULVXV\8TNY[TsX[tHV]W_W fXhj]ehuY[hDV{(fm]L_ehuY[hqfm]etHhqtX[T(U@X[Ts tZTs]Y[T(_/w^dgke¨(¨s/_ehqtYZX[hqwLk@Y[hqfm]Lt("©-hq]WV{j{u^l¡ T_@hqtZ(kLtZtY[eTHtZhq\ kL{jV Y[hjf]/fd&V_@]WV\8hq6V{ t@tY[T(\ª`LTNX[TY[eTT(prfm{qk@Y[hjf]'fd`Y[LTU|fmtZtZhqwehj{qhqtY[hqHkL]e(TsXZYVhj]^Ychqt tZhq\#kL{jVY[T6_w^kLtZhq]L} w|fY[U@X[fmwWVwLhq{qhqtY[hj:V]W_U|ftZtZhjwehq{jhqtY[hq&Y[T(Ne]Lhji^kLT(t( « ¬L9®|¯B°±#²:³7®B´[°9 µ ¶ M:?BI@KNI@?I@·E Ie?eKsC|KNI@?OMK ¶ I|¹B¸Ñ-çZ?PQ=@¿KsECBAg=¿:ÜJM ÜA`·ÁI|E CF¸I@?§K ¶ M ¸N§:^í ¼FMHK ¶ M¸NM KI· PFIeCBOHMI·9= ¿NMß@I@?ÒHìv^í:M8¸O5CBAg=^KsI@?Qß@?BßKNIÂñ:G&ù Ñ çZ?î ïBÅ %ðFÜJM:PB¿sI@P7Ie¸NM¹H=@? =PBPQ¿NIL=@E ¶ ·ÁI@¿oK ¶ M#¿NMm¸IeADCBKNI@?ÂI·¡?LKNM¿NÄ^=A7¹|ADI^Ü?Bß÷ÜJMÜA¹|M?BI@KNM'