1.

Record Nr.

UNINA9910480091103321

Autore

Delshams Amadeu

Titolo

A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model / / Amadeu Delshams, Rafael de la Llave, Tere M. Seara

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2006

ISBN

1-4704-0445-1

Descrizione fisica

1 online resource (158 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 844

Disciplina

510 s

515/.39

Soggetti

Nonholonomic dynamical systems

Mechanics

Differential equations - Qualitative theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 2006, volume 179, number 844 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 137-141).

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Heuristic discussion of the mechanism""; ""2.1. Integrable systems, resonances, secondary tori""; ""2.2. Heuristic description of the mechanism""; ""Chapter 3. A simple model""; ""Chapter 4. Statement of rigorous results""; ""Chapter 5. Notation and definitions, resonances""; ""Chapter 6. Geometric features of the unperturbed problem""; ""Chapter 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds""; ""7.1. Explicit calculations of the perturbed invariant manifold""

""8.5.2. Preliminary analysis of resonances of order one or two""""8.5.3. Primary and secondary tori near the first and second order resonances""; ""8.5.4. Proof of Theorem 8.30 and Corollary 8.31""; ""8.5.5. Existence of stable and unstable manifolds of periodic orbits""; ""Chapter 9. The scattering map""; ""9.1. Some generalities about the scattering map""; ""9.2. The scattering map in our model: definition and computation""; ""Chapter 10. Existence of transition chains""; ""10.1. Transition chains""; ""10.2. The scattering map and the transversality of heteroclinic intersections""



""10.2.1. The non-resonant region and resonances of order 3 and higher""""10.2.2. Resonances of first order""; ""10.2.3. Resonances of order 2""; ""10.3. Existence of transition chains to objects of different topological types""; ""Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1""; ""Chapter 12. Conclusions and remarks""; ""12.1. The role of secondary tori and the speed of diffusion""; ""12.2. Comparison with [DLS00]""; ""12.3. Heuristics on the genericity properties of the hypothesis and the phenomena""; ""12.4. The hypothesis of polynomial perturbations""

""12.5. Involving other objects""""12.6. Variational methods""; ""12.7. Diffusion times""; ""Chapter 13. An example""; ""Acknowledgments""; ""Bibliography""

2.

Record Nr.

UNINA9910971246103321

Titolo

WHO global report on falls prevention in older age

Pubbl/distr/stampa

Geneva, Switzerland, : World Health Organization, 2008

ISBN

9789240683068

9240683062

Edizione

[1st ed.]

Descrizione fisica

1 online resource (53 p.)

Disciplina

617.100846

Soggetti

Falls (Accidents) in old age - Prevention

Accident Prevention

Accidental Falls - prevention & control

Aged

Ageing

Behavior

Disability

Disease

Education

Evidence-based medicine

Evidence-based practice

Exercise

Fall prevention

Falls in older adults

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa



Livello bibliografico

Monografia

Note generali

"This global report is the product of the conclusions reached and recommendations made at the WHO Technical Meeting on Falls Prevention in Older Age which took place in Victoria, Canada in February 2007. The report includes international and regional perspectives on falls prevention issues and strategies and is based on a series of background papers that were prepared by worldwide recognized experts. The papers are available at: http://www.who.int/ageing/projects/falls_prevention_ older_age/en/index.html .The report was developed by the Department of Ageing and Life Course (ALC) under the direction of Dr Alexandre Kalache and the coordination of Dr Dongbo Fu who was closely assisted by Ms Sachiyo Yoshida." - p. ii.

At head of title: Ageing and life course, family and community health.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

I. Magnitude of falls : a worldwide overview --  II. Active ageing: a framework for the global strategy for the prevention of falls in older age --  III. Determinants of active ageing as they relate to falls in older age --  IV. Challenges for prevention of falls in older age --  V. Examples of effective policies and interventions.

Sommario/riassunto

The WHO Falls Prevention for Active Ageing model provides an action plan for making progress in reducing the prevalence of falls in the older adult population. By building on the three pillars of falls prevention, the model proposes specific strategies for:. 1. building awareness of the importance of falls prevention and treatment;. 2. improving the assessment of individual, environmental, and societal factors that increase the likelihood of falls; and. 3. for facilitating the design and implementation of culturally-appropriate, evidence-based interventions that will significantly reduce the n