超越KMA理论的哈密顿混沌（国内英文版）

图书标准信息

• 作者 罗朝俊、[墨西哥]阿弗莱诺维奇（Afraimoyich.V.）、伊布拉基莫夫 编
• 出版社 高等教育出版社
• 出版时间 2010-06
• 版次 1
• ISBN 9787040291872
• 定价 68.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 292页
• 字数 330千字
• 正文语种 英语
• 丛书 非线性物理科学

【内容简介】

《超越KMA理论的哈密顿混沌(国内英文版)》内容简介：HamiltonianChaosBeyondtheKAMTheoryDedicatedtoGeorgeM.Zaslavsky(1935-2008)coverstherecentdevelopmentsandadvancesinthetheoryandapplicationofHamiltonianchaosinnonlinearHamiltoniansystems.ThebookisdedicatedtoDr.GeorgeZaslavsky,whowasoneofthreefoundersofthetheoryofHamiltonianchaos.Eachchapterinthisbookwaswrittenbywell-establishedscientistsinthefieldofnonlinearHamiltoniansystems.ThedevelopmentpresentedinthisbookgoesbeyondtheKAMtheory,andtheonsetanddisappearanceofchaosinthestochasticandresonantlayersofnonlinearHamiltoniansystemsarepredictedanalytically,insteadofqualitatively.
Thebookisintendedforresearchersinthefieldofnonlineardynamicsinmathematics,physicsandengineering.

【目录】

1StochasticandResonantLayersinNonlinearHamiltonianSystemsAlbertC.J.Luo
1.1Introduction
1.2Stochasticlayers
1.2.1Geometricaldescription
1.2.2Approximatecriterions
1.3Resonantlayers
1.3.1Layerdynamics
1.3.2Approximatecriterions
1.4AperiodicallyforcedDuffingoscillator
1.4.1Approximatepredictions
1.4.2Numericalillustrations
1.5Discussions
References
2ANewApproachtotheTreatmentofSeparatrixChaosandItsApplications
S.M.Soskin,R.Mannella,O.M.Yevtushenko,LA.Khovanov,PV.E.McClintock
2.1Introduction
2.1.1Heuristicresults
2.1.2Mathematicalandaccuratephysicalresults
2.1.3NumericalevidenceforhighpeaksinΔE(ωf)andtheirroughestimations
2.1.4Accuratedescriptionofthepeaksandoftherelatedphenomena
2.2Basicideasoftheapproach
2.3Single-separatrixchaoticlayer
2.3.1Roughestimates.Classificationofsystems
2.3.2AsymptotictheoryforsystemsoftypeI
2.3.3AsymptotictheoryforsystemsoftypeII
2.3.4Estimateofthenext-ordercorrections
2.3.5Discussion
2.4Double-separatrixchaos
2.4.1Asymptotictheoryfortheminimaofthespikes
2.4.2Theoryofthespikes'wings
2.4.3Generalizationsandapplications
2.5Enlargementofalow-dimensionalstochasticweb
2.5.1Slowmodulationofthewaveangle
2.5.2Applicationtosemiconductorsuperlattices
2.5.3Discussion
2.6Conclusions
2.7Appendix
2.7.1Lowerchaoticlayer
2.7.2Upperchaoticlayer
References
3HamiltonianChaosandAnomalousTransportinTwoDimensionalFlowsXavierLeoncini
3.1Introduction
3.2Pointvorticesandpassivetracersadvection
3.2.1Definitions
3.2.2Chaoticadvection
3.3Asystemofpointvortices
3.3.1Definitions
3.4Dynamicsofsystemswithtwoorthreepointvortices
3.4.1Dynamicsoftwovortices
3.4.2Dynamicsofthreevortices
3.5Vortexcollapseandnearcollapsedynamicsofpointvortices
3.5.1Vortexcollapse
3.5.2Vortexdynamicsinthevicinityofthesingularity
3.6Chaoticadvectionandanomaloustransport
3.6.1Abriefhistory
3.6.2Definitions
3.6.3Anomaloustransportinincompressibleflows
3.6.4Tracers(passiveparticles)dynamics
3.6.5Transportproperties
3.6.6Originofanomaloustransport
3.6.7Generalremarks
3.7Beyondcharacterizingtransport
3.7.1Chaosoffieldlines
3.7.2LocalHamiltoniandynamics
3.7.3AnABCtypeflow
3.8Targetedmixinginanarrayofalternatingvortices
3.9Conclusion
References
4HamiltonianChaoswithaColdAtominanOpticalLatticeS.V.Prants
4.1Shorthistoricalbackground
4.2Introduction
4.3Semiclassicaldynamics
4.3.1Hamilton-Schrrdingerequationsofmotion
4.3.2Regimesofmotion
4.3.3Stochasticmapforchaoticatomictransport
4.3.4Statisticalpropertiesofchaotictransport
4.3.5Dynamicalfractals
4.4Quantumdynamics
4.5Dressedstatespictureandnonadiabatictransitions
4.5.1Wavepacketmotioninthemomentumspace
4.6Quantum-classicalcorrespondenceandmanifestationsofdynamicalchaosinwave-packetatomicmotion
References
5UsingStochasticWebstoControltheQuantumTransportofElectronsinSemiconductorSuperlattices
T.M.Fromhold,A.A.Krokhin,S.Bujkiewicz,P.B.Wilkinson,
D.Fowler,A.Patane,L.Eaves,D.PA.Hardwick,A.G.Balanov,
M.T.Greenaway,A.Henning
5.1Introduction
5.2Superlatticestructures
5.3Semiclassicalelectrondynamics
5.4Electrondriftvelocity
5.5Current-voltagecharacteristics:theoryandexperiment...
5.6Electrostaticsandchargedomainstructure
5.7TailoringtheSLstructuretoincreasethenumberofconductanceresonances
5.8EnergyeigenstatesandWignerfunctions
5.9Summaryandoutlook
References
6ChaosinOceanAcousticWaveguide
A.L.Virovlyansky
6.1Introduction
6.2Basicequations
6.2.1Parabolicequationapproximation
6.2.2Geometricaloptics.Hamiltonianformalism
6.2.3Modalrepresentationofthewavefield
6.2.4Ray-baseddescriptionofnormalmodes
6.3Raychaos
6.3.1Statisticaldescriptionofchaoticrays
6.3.2Environmentalmodel
6.3.3Wienerprocessapproximation
6.3.4Distributionofrayparameters
6.3.5Smoothedintensityofthewavefield
6.4Raytraveltimes
6.4.1Timefront
6.4.2Statisticsofraytraveltimes
6.5Modalstructureofthewavefieldunderconditionsofraychaos..
6.5.1Coarse-grainedenergydistributionbetweennormalmodes
6.5.2Transientwavefield
6.6Conclusion
References