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Long-range Interactions, Stochasticity

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￥ 51.68 7.6折 ￥ 68 全新

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江苏南京
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作者Albert C.J. Luo，V. Afraimovich

出版社高等教育出版社

ISBN9787040291889

出版时间2010-06

版次1

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定价68元

货号SC:9787040291889

上书时间2024-06-25

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作者简介:
编者：罗朝俊（墨西哥）阿弗莱诺维奇（ValentinAfraimovich）丛书主编：（瑞典）伊布拉基莫夫

Dr.AlbertC.J.LuoisaProfessoratSouthernIllinoisUniversityEdwardsville,USA.
Dr.ValentinAfraimovichisaProiessoratSanLuisPotosiUniversity,Mexico.
主编推荐:
《长距离相互作用、随机及分数维动力学》编辑推荐：NonlinearPhysicalSciencefocusesontherecentadvancesoffundamentaltheoriesandprinciples,analyticalandsymbolicapproaches,aswellascomputationaltechniquesinnonlinearphysicalscienceandnonlinearmathematicswithengineeringapplications.
内容简介:
《长距离相互作用、随机及分数维动力学》内容简介：InmemoryofDr.GeorgeZaslavsky,Long-rangeInteractions,StochasticityandFractionalDynamicscovers'therecentdevelopmentsoflong-rangeinteraction,fractionaldynamics,braindynamicsandstochastictheoryofturbulence,eachchapterwaswrittenbyestablishedscientistsinthefield.ThebookisdedicatedtoDr.GeorgeZaslavsky,whowasoneofthreefoundersofthetheoryofHamiltonianchaos.Thebookdiscussesself-similarityandstochasticityandfractionalityfordiscreteandcontinuousdynamicalsystems,aswellaslong-rangeinteractionsanddilutednetworks.Acomprehensivetheoryforbraindynamicsisalsopresented.Inaddition,thecomplexityandstochasticityforsolitonchainsandturbulenceareaddressed.
Thebookisintendedforresearchersinthefieldofnonlineardynamicsinmathematics,physicsandengineering.
目录:
1FractionalZaslavskyandHenonDiscreteMaps
VasilyE.Tarasov
1.1Introduction
1.2Fractionalderivatives
1.2.1FractionalRiemann-Liouvillederivatives
1.2.2FractionalCaputoderivatives
1.2.3FractionalLiouvillederivatives
1.2.4Interpretationofequationswithfractionalderivatives.
1.2.5Discretemapswithmemory
1.3FractionalZaslavskymaps
1.3.1DiscreteChirikovandZaslavskymaps
1.3.2FractionaluniversalandZaslavskymap
1.3.3Kickeddampedrotatormap
1.3.4FractionalZaslavskymapfromfractionaldifferentialequations
1.4FractionalH6nonmap
1.4.1Henonmap
1.4.2FractionalHenonmap
1.5FractionalderivativeinthekickedtermandZaslavskymap
1.5.1Fractionalequationanddiscretemap
1.5.2Examples
1.6FractionalderivativeinthekickeddampedtermandgeneralizationsofZaslavskyandHenonm
...

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