TERMIUM Plus^®

Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 DEF

The appearance of qualitatively different solutions to a nonlinear equation as a parameter in the equation is varied.  3, record 1, English, - bifurcation

Record number: 1, Textual support number: 2 DEF

Qualitative change of the solution to an equation or a system at a fixed value - called critical value - of a parameter.  4, record 1, English, - bifurcation

Record number: 1, Textual support number: 1 CONT

A point in parameter space where such an event occurs is a bifurcation point. From a bifurcation point emerge two or more solution branches, either stable or unstable. The representation of any characteristic property of the solution as a function of the bifurcation parameter constitutes a bifurcation diagram (tree).  4, record 1, English, - bifurcation

Record number: 1, Textual support number: 1 OBS

Since Leonardo da Vinci, the "pipe model" of trees, rivers, arteries and lungs.  5, record 1, English, - bifurcation

Record number: 1, Textual support number: 1 PHR

branching fractal structure, branching bifurcation equation, branching bifurcation scenario, branching bifurcation theory, branching bifurcation cascade, branching local vs. global bifurcation, branching bifurcation set, branching bifurcation diagram, tangent bifurcation  5, record 1, English, - bifurcation

Record number: 1, Textual support number: 2 PHR

flip bifurcation, fold bifurcation, subcritical bifurcation, supercritical bifurcation, transcritical bifurcation  6, record 1, English, - bifurcation

Record 1,  Textual support,  French

Record number: 1, Textual support number: 1 DEF

Émergence de plusieurs solutions pour une équation ou un système dynamique, due à la variation de certains paramètres qui les contrôlent.  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 1 CONT

Le point dans l'espace des paramètres où apparaît la bifurcation est appelé point de bifurcation. De ce point émergent deux ou plusieurs branches-solutions, stables ou instables.  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 1 OBS

Terme introduit par Henri Poincaré au début du siècle dans ses travaux sur les systèmes d'équations différentielles. Lorsqu'on crée des tourbillons dans un fluide, on observe une «bifurcation» de l'état de repos du fluide vers l'état convectif.  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 1 PHR

la bifurcation amène une oscillation, la bifurcation apporte des tourbillons, la bifurcation a lieu, la bifurcation conduit à des modifications/perturbations, la bifurcation correspond à une traversée, la bifurcation émerge, la bifurcation engendre une orbite, la bifurcation entraîne un changement de régime, la bifurcation fragmente un système, la bifurcation mène à la turbulence, la bifurcation offre des choix, la bifurcation se produit, la bifurcation stabilise un système, la bifurcation transforme un bassin connexe en bassin non connexe  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 2 PHR

créer une bifurcation, décrire une bifurcation, distinguer une bifurcation, étudier une bifurcation, induire une bifurcation, observer une bifurcation, passer par une bifurcation  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 3 PHR

bifurcation autosimilaire, bifurcation catastrophique, bifurcation classique, bifurcation décisive, bifurcation explosive, bifurcation fondamentale, bifurcation fractale, bifurcation globale, bifurcation homocline, bifurcation imminente, bifurcation imparfaite, bifurcation inverse, bifurcation locale, bifurcation non classique, bifurcation normale, bifurcation sous-critique, bifurcation sous-harmonique, bifurcation subtile, bifurcation surcritique, bifurcation tangente, bifurcation transcritique, bifurcation unique, bifurcation universelle  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 4 PHR

bifurcation à une dimension, bifurcation avec échange de stabilité, bifurcation cycle col, bifurcation cycle nœud, bifurcation de bassin d'attraction, bifurcation de codimension 1, 2 ou 3, bifurcation de cycle limite, bifurcation de difféomorphisme quadratique, bifurcation de Hopf, bifurcation de point fixe, bifurcation de solutions, bifurcation d'état, bifurcation de type boîtes emboîtées, bifurcation de type boîtes en files, bifurcation d'orbite périodique, bifurcation en cascades, bifurcation fourche, bifurcation nœud-col  3, record 1, French, - bifurcation

Record number: 1, Textual support number: 5 PHR

accumulation de bifurcations, archétype de bifurcation, branche de bifurcation, cascade de bifurcation, catastrophe de bifurcation, chaîne de bifurcation, chemin de bifurcation, codimension de bifurcation, diagramme de bifurcation, dynamique de bifurcation, ensemble de bifurcation, imbrication de bifurcation, mémoire de bifurcations passées, organisation de bifurcation, point de bifurcation, problème de bifurcation, processus de bifurcation, propriété de bifurcation, sensibilité de bifurcation, structure de bifurcation, théorie des bifurcations, valeur de bifurcation, voisinage de bifurcation  3, record 1, French, - bifurcation

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 CONT

A Soltau Model RVS 250-AS-STS microtunneling machine with a slurry spoil removal system was selected on a lease arrangement to install the 24-in. sewer line. A mixed face cutting head configuration was selected in anticipation of the varying ground conditions. The unit is supplied with high pressure water jets which have proven effective in boring through dense clays. The RVS 250-AS-STS involves two new innovations. First, it utilizes a state-of-the-art laser guidance system coupled with a completely digital operator control panel with continuous, up-to-date information on the tunneling process. A data logger, which can record data at specific time intervals or length of pipe jacked, also provides for a permanent record of the operation.  1, record 2, English, - microtunneling%20machine

Record number: 2, Textual support number: 1 OBS

Microtunneler may also refer to the one who operates the machine.  4, record 2, English, - microtunneling%20machine

Record 2,  Textual support,  French

Record number: 2, Textual support number: 1 DEF

Appareil de forage servant au microtunnelage.  2, record 2, French, - microtunnelier

Record number: 2, Textual support number: 1 CONT

[...] des métiers de haute technicité : travaux souterrains, rénovations d'ouvrages d'art, recyclage des déchets de chantiers routiers, microtunnelier (une technique d'assainissement permettant de réaliser des travaux sans tranchées)...  3, record 2, French, - microtunnelier

Record 2,  Textual support,  Spanish

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 CONT

A pipeline operated at varying temperatures due to occasional shut down of theproduction will expand at positive temperature changes. If the pipeline is not free toexpand but restrained by friction, the pipe will be subjected to an axial compressive load. If the force exerted by the pipe on the soil cover exceeds the vertical restraint created by the pipe's submerged weight, its bending stiffness and the soil cover, the pipe will tend to move in the vertical plane, and considerable displacements may occur.... This model is a consistent semi-analytical linearized procedure and may as such only be considered sufficiently accurate when the upheaval displacement is relatively small.  2, record 3, English, - upheaval%20displacement

Record 3,  Textual support,  French

Record 3,  Textual support,  Spanish

Record 4,  Textual support,  English

Record number: 4, Textual support number: 1 CONT

COADE Inc. has released CADWorx/P&ID Version 3.10, an enhanced version of the company’s AutoCAD-based software for Process & Instrumentation Diagram (P&ID) for piping plant design, now with fully configurable database tables and an optional automatic Instrument Loop Generation Module with instrument loop database table editor.  5, record 4, English, - process%20and%20instrumentation%20diagram

Record number: 4, Textual support number: 2 CONT

The models required will be very detailed compared to those used in typical steady state simulations. Many features which typically only appear at the P&I diagram stage(valves, storage, long pipe runs, sensors, controllers) need to be represented in the model, as they will have significant impact on plant dynamics.  6, record 4, English, - process%20and%20instrumentation%20diagram

Record number: 4, Textual support number: 3 CONT

The bidder shall include in his proposal sufficient drawings, data and other information to completely describe the equipment being proposed. This proposal information shall include but not be limited to, the following: A. P&I diagram showing and making distinction between all piping valves, instruments and equipment to be furnished by the seller and items to be provided by the buyer.  7, record 4, English, - process%20and%20instrumentation%20diagram

Record 4,  Textual support,  French

Record number: 4, Textual support number: 1 CONT

Une demande d'extension du contenu traité par l'AP221 a été effectuée lors de la réunion ISO STEP de Chester en mars 1997 pour prendre en compte toutes les informations que peut contenir un schéma de procédé et d'instrumentation (P&ID).  2, record 4, French, - sch%C3%A9ma%20P%20et%20I

Record number: 4, Textual support number: 2 CONT

Si un P&ID a déjà été généré et [...] qu'on commence un modèle 3D, les seules informations supplémentaires nécessaires concerneront celles relatives au dimensionnement et au positionnement.  6, record 4, French, - sch%C3%A9ma%20P%20et%20I

Record number: 4, Textual support number: 3 CONT

Dessins P&ID (Flowchart). Ils ont deux buts : le contrôle du déroulement du processus, et la définition du contour du projet.  7, record 4, French, - sch%C3%A9ma%20P%20et%20I

Record 4,  Textual support,  Spanish

Record 5,  Textual support,  English

Record number: 5, Textual support number: 1 DEF

Fluid-fluid heat exchanger made of two concentric pipe sections; one fluid (such as a coolant) flows in the annular space between pipes, and the other fluid (such as hot process stream) flows through the inner pipe.  1, record 5, English, - double%2Dpipe%20exchanger

Record number: 5, Textual support number: 1 CONT

The condenser is also a Model no. 06036 shell and tube exchanger, identical to the reboiler with a few modifications : The baffles have been cut at the bottom where they meet the shell to allow condensate to flow out of the shell. The tube side has four passes for maximum heat transfer on the tube side. It is mounted nearly horizontally. The inlet end is a couple of inches higher than the outlet to allow condensate to drain out the low end. A few tubes have been removed at the top to give the vapor more room to distribute itself along the length of the shell. There is a vent on the shell side near the outlet end to allow non-condensable gases to leave. The vent gases pass through the inside of a 36" double pipe condenser so that any condensable gasses will condense out and run down the walls back into the condenser.  2, record 5, English, - double%2Dpipe%20exchanger

Record 5,  Textual support,  French

Record number: 5, Textual support number: 1 CONT

Les condenseurs à double tube. Utilisés concurremment avec les condenseurs à immersion [...] ils sont constitués par deux tubes concentriques dans lesquels le fluide frigorigène et l'eau servant à sa condensation circulent à contre courant; [...]  1, record 5, French, - condenseur%20%C3%A0%20double%20tube

Record 5,  Textual support,  Spanish