{"title":"Property of isodynamism as a principle of guaranteeing/elimination of given system evolution","authors":"I. Izmailov, B. Poizner","doi":"10.1109/PHYCON.2003.1236784","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1236784","url":null,"abstract":"The concept of an isodynamism of parameters values various groups influence on evolution of a dynamic system is entered. Method of detection of this the isodynamism is developed in abstracto and is applied to the case of nonlinear ring interferometer. The paths of application of properties of the isodynamism to solution of control problems are planned if last are reducible to tasks of identification and compensating or imitation of some parameter influence on evolution of system.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129485614","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":"Modeling of excited states of a crystal basing on the frequency-phase synchronization of vibrations of crystal site lattice","authors":"L. Bityutskaya, S.G. Zhitskey","doi":"10.1109/PHYCON.2003.1237029","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1237029","url":null,"abstract":"This work represents results of modeling of synchronization effect in spatially-distributed system of oscillators. These effects are connected with the experimentally observed generation of the heat energy at the stage of preand post-melting.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129755503","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":"Calculation of a logistics equation parameter on experimental data with the miss","authors":"D.I. Yakushev","doi":"10.1109/PHYCON.2003.1236921","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1236921","url":null,"abstract":"The iterative method of calculation of a logistic equation parameter on experimental data with the miss is described.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129855299","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":"Numerical estimates of local and global motions of the Lorenz attractor","authors":"B.G. Kukharenko","doi":"10.1109/PHYCON.2003.1236907","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1236907","url":null,"abstract":"The Lorenz equations are studied numerically. It is shown that the Lorenz strange attractor can comprise attraction domains, or real-time attractors in the vicinity of a stable fixed point, and transient sets or conductors, which are related to jumps between the fixed points. It has been found that long sequences of nearly periodic stable local orbits near each stable fixed point of the Lorenz equations are real-time attractors for the Lorenz attractor. The laws of motion are revealed for these sequences of local orbits. The backbone curves are found for three universal transient processes, which represent all long sequences of local orbits of the Lorenz attractor. It has been found that the conductors of the Lorenz attractor are represented by nearly subharmonic transient process for 3 time-variables defined by the Lorenz equations.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134224888","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":"Type theory, computer algebra & dynamical systems","authors":"A.V. Flegontov, S. Soloviev","doi":"10.1109/PHYCON.2003.1236793","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1236793","url":null,"abstract":"Type theory is one of most active directions in modern mathematical logic. It supports constructive formalization of mathematical computations, including analytical ones. Type theory is used as a basis in most of so called proof assistants (software supporting interactive proof-check and development). One of important problems is the problem of efficient combined use of proof assistants and computer algebra systems. Here this problem is considered in the context of complex multiparametric nonlinear dynamical systems represented by differential equations of some types.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132998306","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":"Application of control algorithm in a sliding mode in spectrum measurement system and growing of crystals","authors":"A. Khachaturova, V. Mkrttchian","doi":"10.1109/PHYCON.2003.1237021","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1237021","url":null,"abstract":"The algorithm in a sliding mode that can be used for adaptive temperature control of a heating system for spectrum measurement systems and growing of crystals is presented. This paper is aimed not only at stating and developing the results obtained in the sphere of discontinuous system design, but also at presenting these results in close correlation with the basic concepts, problems and methods of theoretical aspects of present day control theory. Implementation of this approach implies the knowledge of the conditions of the occurrence of sliding mode, for which purpose a sliding mode indicator has been developed. The Sliding Mode controller by means the Lab View graphical programming language under Windows 1998 environment is proposed. The controller program consist of the following separate blocks: the block for acquiring of data from the thermal point block; the programmer block (set points), which ensures the desired temperature profile and provides the linear dependent voltage (or temperature) of a few desired slot time of different duration; the block responsible for the knowledge of conditions of the occurrence of SM, the so-called indicator; the observer block, which identifications the state vector of the system; block of anticipatory compensation; block of PID regulator.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"164 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134377300","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":"Control science for injury prevention","authors":"D. Balandin, N. Bolotnik, W. D. Pilkey","doi":"10.1109/PHYCON.2003.1237075","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1237075","url":null,"abstract":"A review of recent research on the limiting performance analysis of impact isolation systems for injury prevention is presented. A limiting performance analysis establishes the absolute optimum for a performance index measuring the quality of an isolation system by solving an optimal control problem. Problems related to the optimal design of a crashworthy helicopter seat, automobile seatbelts, and sporting helmets are discussed.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133120207","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":"Stability of the delay logistic equation of population dynamics","authors":"M. Vagina","doi":"10.1109/PHYCON.2003.1236839","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1236839","url":null,"abstract":"The nonlinear logistic equation dy/dt=/spl epsiv/y(t) (1-/spl Sigma//sub k=0/ /sup n/b/sub k/y(t-/spl tau//sub k/), /spl epsiv/>0, b/sub k/, /spl tau//spl isin/(0;/spl infin/) (0/spl les/k/spl les/n) is discussed. The local stability of the nonzero stationary solution of this equation depends on the stability of linear equation dx/dt=-/spl Sigma//sub k=1/ /sup n/ a/sub k/x(t-/spl tau//sub k/), where a/sub k/=/spl epsiv/b/sub k///spl Sigma//sub j=0/ /sup n/b/sub j/ (0/spl les/k/spl les/n). It is shown that the condition /spl Sigma//sub k=1/ /sup n/a/sub k//spl tau//sub k/</spl pi//2 is sufficient for zero solution stability of linear equation. We prove, that there is no restriction above on the value /spl Sigma//sub k=1/ /sup n/a/sub k//spl tau//sub k/ which is necessary for the stability of linear equation. It disproves one of the propositions of K. Gopalsamy. It is shown that, if all the delays /spl tau//sub k/ are multiples of one of them: /spl tau//sub k/=k/spl tau/(/spl tau/>0, k=0,l, ..., n), then the stationary solution y/spl equiv/1//spl Sigma//sub k=0/ /sup n/b/sub k/ of logistic equation is stable with respect to small perturbations when the sequence (b/sub k/) is nonnegative and convex.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115004390","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":"On the modified Marotto Theorem","authors":"Changpin Li","doi":"10.1109/PHYCON.2003.1236859","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1236859","url":null,"abstract":"This paper provides some notes on the modified Marotto Theorem recently by Li and Chen (called \"Marotto-Li-Chen Theorem\" here for convenience and distinction). And a rigorous chaotification theorem is constructed for multi-dimensional discrete dynamical systems.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114982754","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":"Modeling and simulation of non-smooth mechanical systems","authors":"J. Awrejcewicz, G. Kudra, P. Olejnik","doi":"10.1109/PHYCON.2003.1237068","DOIUrl":"https://doi.org/10.1109/PHYCON.2003.1237068","url":null,"abstract":"An advanced modeling of two real physical non-smooth objects is carried out. The non-linear ordinary differential and algebraic inequalities are derived and then numerically simulated. Various aspects of non-linear dynamics are addressed, illustrated and discussed. In the first case, the triple physical pendulum with barriers is used to model a piston-connecting rod-crankshaft system of a mono-cylinder combustion engine. Among other results, a peculiar motion of the piston-connecting rod-crankshaft model is reported, i.e. six sliding stages of the piston along the cylinder per one engine cycle are illustrated. In the second case, the two-degrees-of-freedom mechanical self-excited system with friction modeling the girling duo-servo brake is studied.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"236 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132756047","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}