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HOMOCLINIC POINT [7 records]
Record 1 - internal organization data 1994-07-08
Record 1, English
Record 1, Subject field(s)
- Mathematics
Record 1, Main entry term, English
- homoclinic point
1, record 1, English, homoclinic%20point
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 CONT
... the existence of a homoclinic point often implies the existence of a hyperbolic invariant set on which the map is chaotic. 2, record 1, English, - homoclinic%20point
Record number: 1, Textual support number: 1 OBS
Contrast with heteroclinic point. 3, record 1, English, - homoclinic%20point
Record number: 1, Textual support number: 2 OBS
Degenerate homoclinic point, nondegenerate homoclinic point, transverse homoclinic point. 3, record 1, English, - homoclinic%20point
Record 1, French
Record 1, Domaine(s)
- Mathématiques
Record 1, Main entry term, French
- point homocline
1, record 1, French, point%20homocline
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1993-06-07
Record 2, English
Record 2, Subject field(s)
- Fluid Mechanics and Hydraulics (Physics)
Record 2, Main entry term, English
- homoclinic trajectory 1, record 2, English, homoclinic%20trajectory
Record 2, Abbreviations, English
Record 2, Synonyms, English
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
In the same way, nothing forbids the existence of a homoclinic trajectory that starts from a fixed point along its unstable manifold and comes back to the same fixed point along its stable manifold.... The positions of the stable and unstable manifolds thus put severe constraints on the global aspect of the phase portrait of the system. 1, record 2, English, - homoclinic%20trajectory
Record 2, French
Record 2, Domaine(s)
- Mécanique des fluides et hydraulique (Physique)
Record 2, Main entry term, French
- trajectoire homocline
1, record 2, French, trajectoire%20homocline
feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record number: 2, Textual support number: 1 CONT
De la même façon, rien n'empêche l'existence de trajectoires homoclines partant d'un point fixe le long de sa variété instable et y retournant le long de sa variété stable [...] La position des variétés stables et instables place des contraintes sévères sur l'aspect global du portrait en phases d'un système. 1, record 2, French, - trajectoire%20homocline
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1991-05-16
Record 3, English
Record 3, Subject field(s)
- Mathematics
Record 3, Main entry term, English
- heteroclinic point
1, record 3, English, heteroclinic%20point
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
Record 3, Textual support, English
Record number: 3, Textual support number: 1 OBS
Contrast with homoclinic point. 2, record 3, English, - heteroclinic%20point
Record number: 3, Textual support number: 2 OBS
Degenerate heteroclinic point, nondegenerate heteroclinic point, transverse heteroclinic point. 2, record 3, English, - heteroclinic%20point
Record 3, French
Record 3, Domaine(s)
- Mathématiques
Record 3, Main entry term, French
- point hétérocline
1, record 3, French, point%20h%C3%A9t%C3%A9rocline
correct, proposal, masculine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
Record 3, Textual support, French
Record 3, Spanish
Record 3, Textual support, Spanish
Record 4 - internal organization data 1991-05-16
Record 4, English
Record 4, Subject field(s)
- Mathematics
Record 4, Main entry term, English
- homoclinic bifurcation
1, record 4, English, homoclinic%20bifurcation
correct
Record 4, Abbreviations, English
Record 4, Synonyms, English
Record 4, Textual support, English
Record number: 4, Textual support number: 1 CONT
... as a family of dynamical systems develops a homoclinic point, the family undergoes a remarkably complicated sequence of bifurcations known collectively as a homoclinic bifurcation. 1, record 4, English, - homoclinic%20bifurcation
Record 4, French
Record 4, Domaine(s)
- Mathématiques
Record 4, Main entry term, French
- bifurcation homocline
1, record 4, French, bifurcation%20homocline
correct, proposal, feminine noun
Record 4, Abbreviations, French
Record 4, Synonyms, French
Record 4, Textual support, French
Record 4, Spanish
Record 4, Textual support, Spanish
Record 5 - internal organization data 1991-05-16
Record 5, English
Record 5, Subject field(s)
- Mathematics
Record 5, Main entry term, English
- homoclinic orbit
1, record 5, English, homoclinic%20orbit
correct
Record 5, Abbreviations, English
Record 5, Synonyms, English
Record 5, Textual support, English
Record number: 5, Textual support number: 1 CONT
A homoclinic point, together with its backward orbit... and its(finite) forward orbit, is called a homoclinic orbit. 1, record 5, English, - homoclinic%20orbit
Record number: 5, Textual support number: 1 OBS
Degenerate homoclinic orbit, nondegenerate homoclinic orbit. 2, record 5, English, - homoclinic%20orbit
Record 5, French
Record 5, Domaine(s)
- Mathématiques
Record 5, Main entry term, French
- orbite homocline
1, record 5, French, orbite%20homocline
correct, proposal, feminine noun
Record 5, Abbreviations, French
Record 5, Synonyms, French
Record 5, Textual support, French
Record 5, Spanish
Record 5, Textual support, Spanish
Record 6 - internal organization data 1991-05-16
Record 6, English
Record 6, Subject field(s)
- Mathematics
Record 6, Main entry term, English
- transverse heteroclinic point
1, record 6, English, transverse%20heteroclinic%20point
correct
Record 6, Abbreviations, English
Record 6, Synonyms, English
Record 6, Textual support, English
Record number: 6, Textual support number: 1 OBS
A homoclinic or heteroclinic point is called transverse if the respective stable and unstable manifolds meet at an angle, i. e., their tangent vectors are not collinear at the heteroclinic point. 1, record 6, English, - transverse%20heteroclinic%20point
Record 6, French
Record 6, Domaine(s)
- Mathématiques
Record 6, Main entry term, French
- point hétérocline transversal
1, record 6, French, point%20h%C3%A9t%C3%A9rocline%20transversal
correct, proposal, masculine noun
Record 6, Abbreviations, French
Record 6, Synonyms, French
Record 6, Textual support, French
Record 6, Spanish
Record 6, Textual support, Spanish
Record 7 - internal organization data 1991-05-16
Record 7, English
Record 7, Subject field(s)
- Mathematics
Record 7, Main entry term, English
- transverse homoclinic point
1, record 7, English, transverse%20homoclinic%20point
correct
Record 7, Abbreviations, English
Record 7, Synonyms, English
Record 7, Textual support, English
Record number: 7, Textual support number: 1 OBS
A homoclinic or heteroclinic point is called transverse if the respective stable and unstable manifolds meet at an angle, i. e., their tangent vectors are not collinear at the heteroclinic point. 1, record 7, English, - transverse%20homoclinic%20point
Record 7, French
Record 7, Domaine(s)
- Mathématiques
Record 7, Main entry term, French
- point homocline transversal
1, record 7, French, point%20homocline%20transversal
correct, proposal, masculine noun
Record 7, Abbreviations, French
Record 7, Synonyms, French
Record 7, Textual support, French
Record 7, Spanish
Record 7, Textual support, Spanish
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