<html>  <head> <title>Mechanical Engineering: Chaos and Non-linear System Behaviour</title> </head>  <body>  <p align="center"><a HREF="http://wwwtw.vub.ac.be/"><img alt="K" width="124" height="124" border="0" src="http://wwwtw.vub.ac.be/images/logo/tw2.gif" align="right"></a><a href="http://www.vub.ac.be"><img width="124" height="124" border="0" alt="vub" align="left" hspace="5" src="http://wwwtw.vub.ac.be/images/logo/vub.gif"></a> &nbsp; </p>  <p align="center"><img SRC="http://wwwtw.vub.ac.be/images/logo/pktrans.gif" ALT="TW" WIDTH="70" HEIGHT="70"> </p>  <h1 align="center">Mechanical Engineering</h1>  <p align="center"><big><strong>Research on Chaos and Non-linear System Behaviour</strong></big></p>  <hr noshade>  <h2>Publications:</h2> <font SIZE="2">  <ol>   </font><font size="3">   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Invloed van de     randvoorwaarden op de quantisatie van de energie, Publicaties SEMINARIE VAN MECHANICA, TW,     VUB-ULB (1968) 45-78.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Invloed van de     randvoorwaarden op de quantisatie van de energie in de vergelijking van Dirac, KONINKLIJKE     VLAAMSE ACADEMIE VAN BELGIE, KLASSE DER WETENSCHAPPEN 30 (1968) 1-21.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Eindige randvoorwaarden     in kwantummechanica, Publicaties DIENST ANALYTISCHE MECHANICA, TW, VUB (1969) 1-61.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">P. JANSSENS, M. DELCHAMBRE et R. VAN     DOOREN, Sur les oscillateurs non-linaires du type de Duffing  deux degrs de     libert, INTERNATIONAL CONGRES, Publications CBRM MONS (1969) 171-184.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Sur les oscillations     composes du type additif d&#146;un systme vibraoire non-linaire amorti  deux     degrs de libert, INTERNATIONAL CONGRES EQUA-DIFF 70 (MARSEILLE 1970) 1-59.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Numerical computation of     coupled vibrations in forced non-linear undamped two degree of freedom systems, SEMINARIE     LABORATORIUM TOEGEPASTE MECHANICA, UNIVERSITEIT BIRMINGHAM (1971) 1-25.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Recherche numrique     d&#146;oscillations composes du type additif dans un systme oscillant non-linaire     amorti  deux degrs de libert, ACADEMIE ROYALE DE BELGIQUE, CLASSE DES SCIENCES 57     (1971) 524-544.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">P. JANSSENS M. DELCHAMBRE et R. VAN     DOOREN, L&#146;influence de conditions aux limites  distance finie sur la quantification     de l&#146;atome d&#146;hydrogne, ACADEMIE ROYALE DE BELGIQUE, CLASSE DES SCIENCES 57     (1971) 545-558.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Harmonische trillingen     en somtonen in niet-lineaire mechanische stelsels (1971) (Doctoraatsthesis) 1-314.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Combination tones of     summed type in a non-linear damped vibratory system with two degrees of freedom,     INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 6 (1971) 237-254.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Forced oscillations in     coupled Duffing equations by an analytical method of varying amplitudes and phase angles,     KONINKLIJKE VLAAMSE ACADEMIE VAN BELGIE, KLASSE DER WETENSCHAPPEN 34 (1972) 1-27.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, An analytical method for     certain weakly non-linear periodic differential systems, ACADEMIE ROYALE DE BELGIQUE,     CLASSE DES SCIENCES 58 (1972) 605-621.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Etude     d&#146;oscillations composes d&#146;un systme mcanique non-linaire  plusieurs     degrs de libert, SEMINARIE CNRS MARSEILLE (1973) 1-27.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Recherches de solutions     d&#146;quations diffrentielles fortement non-linaires, INTERNATIONAL CONGRES     EQUA-DIFF 73 (BRUXELLES ET LOUVAIN-LA-NEUVE 1973) Hermann, 324-344.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Stabilization of     Cowell&#146;s finite difference method for numerical integration of the free Duffing     equation, INTERNATIONAL CONGRES POINT MAPPING AND ITS APPLICATIONS (TOULOUSE 1973) CNRS     229, 275-283.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Numerical computation of     forced oscillations in coupled Duffing equations, NUMERISCHE MATHEMATIK 20 (1973) 300-311.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, An analytical method for     certain highly non-linear periodic differential equations, FUNKCIALAJ EKVACIOJ 16 (1973)     169-180.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Differential tones in a     damped mechanical system with quadratic and cubic non-linearities, INTERNATIONAL JOURNAL     OF NON-LINEAR MECHANICS 8 (1973) 575-583.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Stabilization of     Cowell&#146;s classical finite difference method for numerical integration, JOURNAL OF     COMPUTATIONAL PHYSICS 16 (1974) 186-192.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Orbit computation in     celestial mechanics by Urabe&#146;s method, RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 9     (1974) 535-542. </p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Two mode subharmonic     vibrations of order 1/9 of a non-linear beam forced by a two mode harmonic load, JOURNAL     OF SOUND AND VIBRATION 41 (1975) 133-142.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, The generalized     Hamilton-Jacobi method for non-holonomic dynamical systems of Chetaev&#146;s type,     ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 55 (1975) 407-411.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, On a new form of the     Lagrange equations, JOURNAL OF APPLIED MATHEMATICS AND PHYSICS 26 (1975) 629-632.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN AND R. BOUC, Two mode     subharmonic and harmonic vibrations of a non-linear beam forced by a two mode harmonic     load, INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 10 (1975) 271-280.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Forced two mode     subharmonic vibrations of a nonlinear beam by a new analytical method, 7<sup>th</sup>     INTERNATIONAL CONGRESS ON NONLINEAR OSCILLATIONS (ICNO, BERLIJN, 1975) 1-16.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Generalized methods for     nonholonomic systems with applications in various fields of classical mechanics, 14<sup>th</sup>     INTERNATIONAL CONGRESS ON THEORETICAL AND APPLIED MECHANICS (IUTAM, DELFT 1976),     North-Holland, 373-391.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Magnetohydrodynamic pipe     flow with variable wall porosity, JOURNAL OF APPLIED MECHANICS 43 , TRANS. ASME 98 (1976)     172-173.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Porous pipe flow, THE     PHYSICS OF FLUIDS 19 (1976) 481-482.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Motion of a rolling disc     by a new generalized Hamilton-Jacobi method, JOURNAL OF APPLIED MATHEMATICS AND PHYSICS 27     (1976) 501-505.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Forced two mode     subharmonic vibrations of a non-linear beam by a new analytical method, ABHANDLUNGEN DER     WISSENSCHAFTEN DER DDR 5 (1977) 253-260.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Derivation of the     Lagrange equations for nonholonomic Chetaev systems from a modified Pontryagin maximum     principle, JOURNAL OF APPLIED MATHEMATICS AND PHYSICS 28 (1977) 729-734.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Solution of differential     equations in Chebyshev series, ACADEMIE ROYALE DE BELGIQUE, CLASSE DES SCIENCES 64 (1978)     360-382.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Numerical methods for     ordinary differential equations, INTERNATIONAL CONGRES EQUA-DIFF 78 (FLORENCE 1978) 1-24.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Solution of integral     equations in Chebyshev series, COLLOQIUM LOUVAIN-LA-NEUVE (1978) 1-25.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Analytical solutions of     viscous flow in constricted or widened tubes, JOURNAL OF APPLIED MECHANICS 45 , TRANS.     ASME 100 (1978) 241-245.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Second form of the     generalized Hamilton-Jacobi method for nonholonomic dynamical systems, JOURNAL OF APPLIED     MATHEMATICS AND PHYSICS 29 (1978) 828-834.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, On the generalized     Hamilton-Jacobi method for nonholonomic dynamical systems, DIENST ANALYTISCHE MECHANICA,     TW, VUB (1979) 1-6.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Stability of solitary     waves in shallow water, THE PHYSICS OF FLUIDS 22 (1979) 1586-1588.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Generalized methods for     nonholonomic systems with applications in various fields of classical mechanics, MIR     (1979) 598-624 (Russische vertaling).</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">H. JANSSEN, J. VLASSENBROECK and R. VAN     DOOREN, Integration method for systems of differential equations based on Chebyshev     polynomials, INTERNATIONAL CONGRESS ZURICH (1980) 1-24.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and J. VLASSENBROECK, A     new look at the brachystochrone problem, JOURNAL OF APPLIED MATHEMATICS AND PHYSICS 31     (1980) 785-790.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">J. SCHOUKENS, R. VAN DOOREN et al.,     Bepalen van de parameters van een transferfunktie met behulp van ortogonale funkties,     DIENST ELEKTRICITEIT (1981) 1-3.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and J. VLASSENBROECK, A     computational method in optimal systems control with various applications, 3<sup>rd</sup>     IMA CONGRESS ON CONTROL THEORY (SHEFFIELD), Academic Press (1981) 407-429.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Computational aspects of     non-linear oscillations, EUROMECH COLLOQIUM 141 (ENSCHEDE 1981) 1-45.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">J. VLASSENBROECK, H. JANSSEN and R. VAN     DOOREN, A direct Chebyshev approach with practical applicability on optimal control     problems, 8<sup>th</sup> WORLD CONGRESS IFAC (KYOTO 1981), Pergamon, 159-164.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">J. VLASSENBROECK and R. VAN DOOREN,     Estimation and measurement of the mechanical parameters of the respiratory system,     INTERNATIONAL CONGRESS BRIGHTON (1982) 1-27.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">J. SCHOUKENS, R. VAN DOOREN et al.,     Technological and methodological advances in measurement, ACTA IMEKO (1982).</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and J. VLASSENBROECK,     Chebyshev series solution of the controlled Duffing oscillator, JOURNAL OF COMPUTATIONAL     PHYSICS 47 (1982) 321-329.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Numerical computation of     solutions to the KdV equation in double Chebyshev series, JOURNAL OF APPLIED MATHEMATICS     AND PHYSICS 34 (1983) 118-123.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">J. VLASSENBROECK and R. VAN DOOREN,     Estimation of the mechanical parameters of the human respiratory system, MATHEMATICAL     BIOSCIENCES 69 (1984) 31-55.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, The three-soliton     solution of the two-dimensional Korteweg-de-Vries equation, ADVANCES IN NONLINEAR WAVES     111 (1985) 187-198.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, A direct method for     obtaining N-soliton solutions of nonlinear wave equations, DIENST ANALYTISCHE MECHANICA,     TW, VUB (1986) 1-8.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, On chaotic behaviour in     the Duffing oscillator, 7<sup>th</sup> INTERNATIONAL COLLOQIUM DYNAMICS DAYS (TWENTE 1986)     1-28.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, Period     doubling bifurcations in the Duffing oscillator, 8<sup>th</sup> INTERNATIONAL COLLOQIUM     DYNAMICS DAYS (DUSSELDORF 1987) 1-20.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">H. JANSSEN and R. VAN DOOREN, Numerical     study of harmonics and subharmonics of the Duffing oscillator in the neighborhood of a     strange attractor, 8<sup>th</sup> INTERNATIONAL COLLOQIUM DYNAMICS DAYS (DUSSELDORF 1987)     21-33.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Numerical study of the     controlled Van der Pol oscillator in Chebyshev series, JOURNAL OF APPLIED MATHEMATICS AND     PHYSICS 38 (1987) 934-939.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">H. JANSSEN and R. VAN DOOREN, Numerical     study of certain attractors by a Gauss-Legendre integration method, 3<sup>rd</sup>     INTERNATIONAL CONGRESS ON COMPUTATIONAL AND APPLIED MATHEMATICS (ICCAM, LEUVEN, 1988)     1-20.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">J. VLASSENBROECK and R. VAN DOOREN, A     Chebyshev technique for solving nonlinear optimal control problems, IEEE TRANSACTIONS ON     AUTOMATIC CONTROL 33 (1988) 333-340.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, On the transition from     regular to chaotic behaviour in the Duffing oscillator, JOURNAL OF SOUND AND VIBRATION 123     (1988) 327-339.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, Period     doubling solutions in the Duffing oscillator: a Galerkin approach, JOURNAL OF     COMPUTATIONAL PHYSICS 81 (1989) 161-171.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, A Chebyshev technique     applied to a controlled nuclear reactor system, OPTIMAL CONTROL APPLICATIONS AND METHODS     10 (1989) 285-291.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">H. JANSSEN and R. VAN DOOREN, A     one-step integration routine for normal differential systems based on Gauss-Legendre     quadrature, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 28 (1989) 207-217.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Period doubling     bifurcations in a laser model, DIENST ANALYTISCHE MECHANICA, TW, VUB (1991) 1-10.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Rigorous studies of a     Duffing oscillator, JOURNAL OF SOUND AND VIBRATION 155 (1992) 368-369.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, M. DE GROOTE and H.     JANSSEN, Numerical evidence of Feigenbaum&#146;s number <font FACE="Symbol">d</font> in     non-linear oscillations, JOURNAL OF COMPUTATIONAL PHYSICS 105 (1993) 173-177.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, A new     period doubling Feigenbaum sequence for a Duffing system with large forcing, GENERAL     SCIENTIFIC MEETING, UITGAVE K.U. LEUVEN (1993) 58.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, A new     Feigenbaum sequence of period doubling bifurcations for a periodic excited buckled beam,     ACTES DU 11me CONGRES FRANCAIS DE MECANIQUE (LILLE-VILLENEUVE D&#146;ASCQ) Vol. 5 (1993)     101-104.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Reguliere en chaotische     bewegingen in niet-lineaire dynamische systemen, SEMINARIE DIENST WERKTUIGKUNDE, TW, VUB     (1994) 1-49.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, In: Professor R.E.     JONCHEERE, Publicaties DIENST WERKTUIGKUNDE, TW, VUB (1994) 197-209 (reprint).</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Bifurcations in a     pendulum with circular support motion, NFWO COLLOQIUM ULB (1994) 1-27.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, Period     doubling bifurcations in a parametrically excited Duffing oscillator, PROCEEDINGS 3<sup>rd</sup>     CONGRESS ON THEORETICAL AND APPLIED MECHANICS (LIEGE 1994) 173-176.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, A     continuation algorithm for discovering new chaotic motions in forced Duffing systems, 6<sup>th</sup>     INTERNATIONAL CONGRESS ON COMPUTATIONAL AND APPLIED MATHEMATICS (ICCAM, LEUVEN, 1994)     1-25.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">H. JANSSEN and R. VAN DOOREN,     Application of high-order difference methods for the study of period doubling bifurcations     in nonlinear oscillators, 6<sup>th</sup> INTERNATIONAL CONGRESS ON COMPUTATIONAL AND     APPLIED MATHEMATICS (ICCAM, LEUVEN, 1994) 1-31.</p>   </li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Regular and chaotic     motions in a two-link planar robot system with applied periodic torque, DIENST     WERKTUIGKUNDE, TW, VUB (1995) 1-36.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Bifurcations et chaos     dans un modle dynamique d&#146;un robot, ACTES DU 12eme CONGRES FRANCAIS DE MECANIQUE     (STRASBOURG) PUBLICATIONS A.U.M., VOL. 4 (1995) 53-56.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN and H. JANSSEN, A     continuation algorithm for discovering new chaotic motions in forced Duffing&#146;s     systems, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 66 (1996) 527-541.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">H. JANSSEN and R. VAN DOOREN,     Applications of high order difference methods for the study of period doubling     bifurcations in nonlinear oscillators, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 66     (1996) 293-313.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Chaos in a pendulum with     forced horizontal support motion, CHAOS, SOLITONS AND FRACTALS 7 (1996) 77-90.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Bifurcations and chaos     in a pendulum with circular support motion, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS     6 (1996) 745-749.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Zones of chaotic     behaviour in the parametrically excited pendulum, JOURNAL OF SOUND AND VIBRATION 200     (1997) 105-109.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, New features on     bifurcations and chaos in coupled forced Duffing oscillators, PROCEEDINGS OF THE 4th     CONGRESS ON THEORE-TICAL AND APPLIED MECHANICS (LEUVEN 1997) 39-42.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, Harmonic balance and     continuation techniques in the dynamic analysis of Duffing&#146;s equation, JOURNAL OF     SOUND AND VIBRATION 221 (1999) 525-529.</font></p>     <font size="3"></li>   <li><p style="margin-top: 10px; margin-bottom: 10px">R. VAN DOOREN, A frequency domain based     numeric-analytical method for non-linear dynamical systems, JOURNAL OF SOUND AND VIBRATION     226 (1999) 799-804.</p>   </li> </ol> </font>  <hr noshade> <font size="-1"><a href="../../default.htm">  <p>Home</a> - <a href="../../Geninform/info.htm">General Information</a> - <a href="http://avrg.vub.ac.be/Default.htm">Acoustics and Vibrations</a> - Chaos - <a href="../MM/multibody.htm">Multibody Mechanics</a> - <a href="../Robotica/Robotica.htm">Robotics</a> - <a href="../Thermodynamics/thermodyn.htm">Thermodynamics</a> - <a href="../../Teaching/teaching.htm">Teaching</a> - <a href="../../assistance/techn.htm">Technical assistance</a></font></p>  <hr noshade> <font size="-1"><i>  <p>Vrije Unversiteit Brussel (Free University of Brussels)<br> Faculty of Applied Sciences<br> Department of Mechanical Engineering<br> Pleinlaan 2<br> 1050 Brussels<br> tel. 32-2-629.28.06<br> fax 32-2-629.28.65<br> <a href="mailto:Carine.Vaeremans@vub.ac.be">E-Mail</a> </i></font></p> </body> </html> 
