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## Double Resonance: Geometric Description

*Kaloshin Vadim and Zhang Ke*

### in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

- Published in print:
- 2020
- Published Online:
- May 2021
- ISBN:
- 9780691202525
- eISBN:
- 9780691204932
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691202525.003.0004
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter examines the geometrical structure for the system at double resonance. After describing the normal form near a double resonance, it reduces the system to the slow mechanical system with ... More

## Normally hyperbolic cylinders at double resonance

*Kaloshin Vadim and Zhang Ke*

### in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

- Published in print:
- 2020
- Published Online:
- May 2021
- ISBN:
- 9780691202525
- eISBN:
- 9780691204932
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691202525.003.0010
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter proves the geometric picture of double resonance described in Chapter 4. There are two cases. In the simple critical homology case, the chapter shows the homoclinic orbit can be extended ... More

## Index theorems for meromorphic self-maps of the projective space

*Marco Abate*

*Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland (eds)*

### in Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691159294
- eISBN:
- 9781400851317
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691159294.003.0017
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter uses techniques from the theory of local dynamics of holomorphic germs tangent to the identity to prove three index theorems for global meromorphic maps of projective space. More ... More

## International University Consortia on the New Silk Road

*Zhuolin Feng and Luyang Gao*

### in China and Europe on the New Silk Road: Connecting Universities Across Eurasia

- Published in print:
- 2020
- Published Online:
- November 2020
- ISBN:
- 9780198853022
- eISBN:
- 9780191887420
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198853022.003.0006
- Subject:
- Business and Management, Knowledge Management, Political Economy

International collaborations among higher education institutions have existed along the Silk Road for a long time. With the initiative of the Belt and Road, it is believed that cooperation among ... More

## Time Measurement on the Ground in Kaga Domain

*Yulia Frumer*

### in Making Time: Astronomical Time Measurement in Tokugawa Japan

- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780226516448
- eISBN:
- 9780226524719
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226524719.003.0007
- Subject:
- History, History of Science, Technology, and Medicine

Chapter 6 demonstrates how ideas about time measurement that originated in astronomical practice and spread in early nineteenth century Japanese society through surveying and navigation manifested in ... More

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