X. Carton, Fabius Cedric Kouogang Tchuenkam, Armand Vic
{"title":"The Interaction of Two Vortices Near a Boundary in Rotating Stratified Incompressible Flows","authors":"X. Carton, Fabius Cedric Kouogang Tchuenkam, Armand Vic","doi":"10.1142/9789811221903_0005","DOIUrl":"https://doi.org/10.1142/9789811221903_0005","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125943415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Collective Sustained Oscillations in Complex Systems","authors":"Zhigang Zheng","doi":"10.1142/9789811221903_0015","DOIUrl":"https://doi.org/10.1142/9789811221903_0015","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129835974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Feedback Delay as a Control Tool: The Complex Ginzburg–Landau Equation with Local and Nonlocal Delayed Perturbations","authors":"A. Casal, J. I. Díaz","doi":"10.1142/9789811221903_0017","DOIUrl":"https://doi.org/10.1142/9789811221903_0017","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115652994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modal Asynchronicity in Pre-stressed Continuous Simply-Supported Beams with Transversal and Rotational Oscillators","authors":"E. A. Ribeiro, S. Lenci, C. Mazzilli","doi":"10.1142/9789811221903_0006","DOIUrl":"https://doi.org/10.1142/9789811221903_0006","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125514780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Characterizing Fractal Basin of Attraction in Planar Switched Systems","authors":"Yongxiang Zhang","doi":"10.1142/9789811221903_0011","DOIUrl":"https://doi.org/10.1142/9789811221903_0011","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121147288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics of the Dipole-Segment with Equal Masses and Arbitrary Rotation","authors":"A. Elipe, A. Abad, Alessandra F. S. Ferreira","doi":"10.1142/9789811221903_0004","DOIUrl":"https://doi.org/10.1142/9789811221903_0004","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122816496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Leon O. Chua, J. Awrejcewicz, S. Rajasekar, M. Ragulskis
{"title":"FRONT MATTER","authors":"Leon O. Chua, J. Awrejcewicz, S. Rajasekar, M. Ragulskis","doi":"10.1142/9789811221903_fmatter","DOIUrl":"https://doi.org/10.1142/9789811221903_fmatter","url":null,"abstract":"","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130837047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Shadowing, Errors, and Exact Orbits of Quadratic Maps","authors":"J. Gallas","doi":"10.1142/9789811221903_0012","DOIUrl":"https://doi.org/10.1142/9789811221903_0012","url":null,"abstract":": We consider two problems in dynamical systems. First, shadowing, namely the impact of small numerical errors in calculations of orbital points of the two-dimensional Hénon map is investigated. The unique map inverse allows one to access numerical errors by performing, under size-controlled representation of real numbers, a “there and back game”, namely, iterating the map arbitrarily forward and, from there, backtracking using the unique inverse. Numerical errors are determined by measuring the distance between the points of departure and return. Second, we report exact analytical results for the quadratic map in the fully chaotic partition generating limit. In particular, exact expressions for periodic orbits and for preperiodic points allow one to extract precise coordinates of points belonging to periodic orbits. Such coordinates provide valuable checkpoints against which to gauge propagation errors for some classes of numerical calculations. The simple systems considered here provide fruitful workhorses to investigate numerical noise and error propagation when performing large number of iterates.","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117049100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Lukin, O. Privalova, I. Popov, D. Skubov, L. V. Shtukin
{"title":"Electromechanical Models of Micro- and Nanoresonators","authors":"A. Lukin, O. Privalova, I. Popov, D. Skubov, L. V. Shtukin","doi":"10.1142/9789811221903_0013","DOIUrl":"https://doi.org/10.1142/9789811221903_0013","url":null,"abstract":"\u0000 This work is devoted to numerical and partly experimental investigation of the electromechanical models of micro and nanoresonators. The main purpose of this resonators is detected the adherence of micro or nanoparticles and measurement its mass. The periodical oscillations of mono and many layers nanocapacitors, from which nanoresonator situated in electric field is constructed, are studied. The purpose of this work is creating of electromechanical models of MEMS and NEMS the aim of which is to identify the changes introduced into dynamic systems due to adhesion of micro or nanoparticles. It’s significant to note that the time of overcharge of the nano-capacitor is much less, then the period of excited oscillations. This fact gives the possibility to apply asymptotic methods in numerical investigation. Physical experiments similar in model to the electromechanical nanoresonators were carried out. This work is an extended review article based on the results of previous our works.","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131610411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Retina as a Dynamical System","authors":"B. Cessac","doi":"10.1142/9789811221903_0014","DOIUrl":"https://doi.org/10.1142/9789811221903_0014","url":null,"abstract":"Considering the retina as a high dimensional, non autonomous, dynamical system, layered and structured, with non stationary and spatially inhomogeneous entries (visual scenes), we present several examples where dynamical systems-, bifurcations-, and ergodic-theory provide useful insights on retinal behaviour and dynamics.","PeriodicalId":413396,"journal":{"name":"World Scientific Series on Nonlinear Science Series B","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124211722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}