1 Fractional Zaslavsky and H´enon Discrete Maps

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Long-range Interactions, Stochasticity 作者：Albert C.J. Luo，V. Afraimovich　　 ISBN：978-7-04-029188-9　出版时间：2010-06-18

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front matter

1 Fractional Zaslavsky and H´enon Discrete Maps

2 Self-similarity, Stochasticity and Fractionality

3 Long-range Interactions and Diluted Networks

4 Metastability and Transients in Brain Dynamics: Problems and Rigorous Results

5 Dynamics of Soliton Chains: From Simple to Complex and Chaotic Motions

6 What is Control of Turbulence in Crossed Fields?–Don’t Even Think of Eliminating All Vortexes!

7 Entropy and Transport in Billiards

Index
- Vasily E. Tarasov
- 1.1 Introduction
- 1.2 Fractional derivatives
- 1.2.1 Fractional Riemann-Liouville derivatives
- 1.2.2 Fractional Caputo derivatives
- 1.2.3 Fractional Liouville derivatives
- 1.2.4 Interpretation of equations with fractional derivatives
- 1.2.5 Discrete maps with memory
- 1.3 Fractional Zaslavsky maps
- 1.3.1 Discrete Chirikov and Zaslavsky maps
- 1.3.2 Fractional universal and Zaslavsky map
- 1.3.3 Kicked damped rotator map
- 1.3.4 Fractional Zaslavsky map from fractional differential equations
- 1.4 Fractional H´enon map
- 1.4.1 H´enon map.
- 1.4.2 Fractional H´enon map
- 1.5 Fractional derivative in the kicked term and Zaslavsky map
- 1.5.1 Fractional equation and discrete map
- 1.5.2 Examples
- 1.6 Fractional derivative in the kicked damped term and generalizations of Zaslavsky and H´enon maps
- 1.6.1 Fractional equation and discrete map
- 1.6.2 Fractional Zaslavsky and H´enon maps
- 1.7 Conclusion
- References

1 Fractional Zaslavsky and H´enon Discrete Maps

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