Long-range Interactions, Stochasticity
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库存3件
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
装帧精装
开本其他
纸张胶版纸
定价68元
货号SC:9787040291889
上书时间2024-10-30
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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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