Integral manifolds and adiabatic invariants of systems in slow evolution

1983 ◽  
pp. 99-136 ◽  
Author(s):  
A. S. Bakaj
Keyword(s):  
Adiabatic Invariants ◽  
Integral Manifolds ◽  
Slow Evolution

Theoretical and Methodological Elements of an Inclusive Approach to Education

2020 ◽  
pp. 123-136
Author(s):  
Antonello Mura ◽  
Antioco Luigi Zurru ◽  
Ilaria Tatulli
Keyword(s):  
Inclusive Education ◽  
Collaborative Work ◽  
Qualitative Investigation ◽  
Training Process ◽  
Continuous Training ◽  
Learning Contexts ◽  
Inclusive Learning ◽  
Inclusive Approach ◽  
Slow Evolution ◽  
Methodological Principles

The educative experience of people with disability leads the inter­na­tio­nal debate towards the value of inclusive learning contexts. Nonetheless, the theoretical and methodological principles of an inclusive education approach have to be outlined. Data collected using explorative questionnaires during a five-years survey in an Italian region's schools show a slow evolution of the scholastic context. From the perspective of Special Pedagogy, the qualitative investigation on three macro-dimensions (the diversity perception, the didactic and methodological means, the wellbeing of pupils) reveals an emerging development of solid awareness among teachers. Findings confirm that the inclusion processes at school are attainable only throughout a series of clear methodological elements: 1) a valorising attitude towards diversity; 2) an orienting learning process; 3) a plural and flexible use of both methodologies and strategies; 4) a collaborative work environment; 5) a continuous training process; 6) a deontological approach. These are the principles that allow teachers to support each student in the manifold itineraries of identity fulfilment, encouraging pupils to express their needs and to develop their abilities in a welcoming and participative context.

Integral manifolds of differential equations with rapidly rotating phase

1969 ◽  
Vol 12 (11) ◽  
pp. 1243-1252 ◽  
Author(s):  
A. S. Gurtovnik ◽  
Yu. I. Neimark
Keyword(s):  
Differential Equations ◽  
Integral Manifolds

Generalized adiabatic invariants in classical mechanics

1968 ◽  
Vol 1 (3) ◽  
pp. 326-330
Author(s):  
L Navarro ◽  
L M Garrido
Keyword(s):  
Classical Mechanics ◽  
Adiabatic Invariants

A Statistical Extended-Range Tropical Forecast Model Based on the Slow Evolution of the Madden–Julian Oscillation

1999 ◽  
Vol 12 (7) ◽  
pp. 1918-1939 ◽  
Author(s):  
Duane E. Waliser ◽  
Charles Jones ◽  
Jae-Kyung E. Schemm ◽  
Nicholas E. Graham
Keyword(s):  
Forecast Model ◽  
Madden Julian Oscillation ◽  
Model Based ◽  
Extended Range ◽  
Slow Evolution

Averaging and integral manifolds

1970 ◽  
Vol 2 (2) ◽  
pp. 197-222 ◽  
Author(s):  
W. A. Coppel ◽  
K. J. Palmer
Keyword(s):  
Autonomous System ◽  
Method Of Characteristics ◽  
Integral Manifold ◽  
Artificial Viscosity ◽  
Original Method ◽  
Method Of Averaging ◽  
System Of Differential Equations ◽  
Viscosity Term ◽  
Integral Manifolds ◽  
The Individual

An integral manifold for a system of differential equations is a manifold such that any solution of the equations which has a point on it is entirely contained on it. The method of averaging establishes the existence of such a manifold for a system which is a perturbation of an autonomous system with a periodic orbit. The existence of the manifold is established here under more general hypotheses, namely for perturbations which are ‘integrally small’. The method differs from the original method of Bogolyubov and Mitropolskii and operates directly with the individual solutions. This is made possibly by the use of an appropriate norm, and is equivalent to solving the partial differential equation which occurs in work by Moser and Sacker by the method of characteristics rather than by the introduction of an artificial viscosity term. Moreover, detailed smoothness properties of the manifold are obtained. For periodic perturbations the integral manifold is a torus and these smoothness properties are just sufficient to permit the application of Denjoy's theorem.

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