动态上的不连续力学系统

图书标准信息

• 作者 罗朝俊 著
• 出版社 高等教育出版社
• 出版时间 2009-05
• 版次 1
• ISBN 9787040257595
• 定价 46.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 222页
• 字数 250千字
• 正文语种 英语
• 丛书 非线性物理科学

【内容简介】

　　《动态上的不连续力学系统》内容为DiscontinuousDynamicalSystemsonTime-varyingDomainsisthefirstmonographfocusingonthistopic.Whileintheclassictheoryofdynamicalsystemsthefocusisondynamicalsystemsontime-invariantdomains，thisbookpresentsdiscontinuousdynamicalsystemsontime-varyingdomainswherethecorrespondingswitchabilityofaflowtothetime-varyingboundaryindiscontinuousdynamicalsystemsisdiscussed.Fromsuchatheory，principlesofdynamicalsysteminteractionswithoutanyphysicalconnectionsarepresented.Severaldiscontinuoussystemsontime-varyingdomainsareanalyzedindetailtoshowhowtoapplythetheorytopracticalproblems.Thebookcanserveasareferencebookforresearchers，advancedundergraduateandgraduatestudentsinmathematics，physicsandmechanics.

【作者简介】

　　Dr.AlbertC.J.LuoisaprofessoratSouthernIllinoisUniversityEdwardsville,USA.Hisresearchisinvolvedinthenonlineartheoryofdynamicalsystems.Hismaincontributionsareinthefollowingaspects:astochasticandresonantlayertheoryinnonlinearHamiltoniansystems,singularityondiscontinuousdynamicalsystems,andapproximatenonlineartheoriesforadeformable-body.

【目录】

1Introduction
1.1Discontinuoussystems
1.2Booklayout
References

2FlowSwitchability
2.1Discontinuousdynamicsystems
2.2G-functions
2.3Passableflows
2.4Non-passableflows
2.5Tangentialflows
2.6Switchingbifurcations
References

3TransversalityandSlidingPhenomena
3.1Acontrolledsystem
3.2Transversalityconditions
3.3Mappingsandpredictions
3.4Periodicandchaoticmotions
References

4AFrictionalOscillatoronTime-varyingBelt
4.1Mechanicalmodel
4.2Analyticalconditions
4.2.1Equationsofmotion
4.2.2Passableflowstoboundary
4.2.3Slidingflowsonboundary
4.2.4Grazingflowstoboundary
4.3Genericmappingsandforceproductcriteria...
4.3.1Genericmappings
4.3.2Slidingflowsandfragmentation
4.3.3Grazingflows
4.4Periodicmotions
4.4.1Mappingstructures
4.4.2Illustrations
4.5Numericalsimulations
References

5TwoOscillatorswithImpactsandStick
5.1Physicalproblem
5.1.1Introductiontoproblem
5.1.2Equationsofmotion
5.2Domainsandvectorfields
5.2.1Absolutemotiondescription
5.2.2Relativemotiondescription
5.3Mechanismofstickandgrazing
5.3.1Analyticalconditions
5.3.2Physicalinterpretation
5.4Mappingstructuresandmotions
5.4.1Switchingsetsandbasicmappings
5.4.2Mappingequations
5.4.3Mappingstructures
5.4.4Bifurcationscenario
5.5Periodicmotionprediction
5.5.1Approach
5.5.2Impactingchatter
5.5.3Impactingchatterwithstick
5.5.4Parametermaps
5.6Numericalillustrations
5.6.1Impactingchatter
5.6.2Impactingchatterwithstick
5.6.3Furtherillustrations
References

6DynamicalSystemswithFrictions
6.1Problemstatement
6.2Switchingandstickmotions
6.2.1Equationsofmotion
6.2.2Analyticalconditions
6.3Periodicmotions
6.3.1Switchingplanesandmappings
6.3.2Mappingstructuresandmotions
6.3.3Bifurcationscenario
6.4Numericalillustrations
6.4.1Periodicmotionwithoutstick
6.4.2Periodicmotionwithstick
6.4.3Periodicmotionwithstickonly
References

7PrinciplesforSystemInteractions
7.1Twodynamicalsystems
7.1.1Dynamicalsystemswithinteractions
7.1.2Discontinuousdescription
7.1.3Resultantdynamicalsystems
7.2Fundamentalinteractions
7.3Interactionswithsingularity
7.4Interactionswithcomersingularity
References
Appendix
A.1Basicsolution
A.2Stabilityandbifurcation
Index