This volume contains the invited papers presented at the 9th International Conference "Dynamical Systems — Theory and Applications" held in Lódz, Poland, December 17-20, 2007, dealing with nonlinear dynamical systems. The conference brought together a large group of outstanding scientists and engineers, who deal with various problems of dynamics encountered both in engineering and in daily life.
Topics covered include, among others, bifurcations and chaos in mechanical systems; control in dynamical systems; asymptotic methods in nonlinear dynamics; stability of dynamical systems; lumped and continuous systems vibrations; original numerical methods of vibration analysis; and man-machine interactions.
Thus, the reader is given an overview of the most recent developments of dynamical systems and can follow the newest trends in this field of science. This book will be of interest to to pure and applied scientists working in the field of nonlinear dynamics.
1. D.Y. Gao, New way to understand and control chaos: canonical duality approach and triality theory; Department of Math, Virginia Tech, Blacksburg, USA. 2. A.P. Seyranian, Multiparameter stability theory with mechanical applications; Moscow State Lomonosov University, Institute of Mechanics, Moscow, Russia. 3. D. Bernardini, G. Rega, Numerical characterization of the chaotic nonregular dynamics of pseudoelastic oscillators; Dipartimento di Ingegneria Strutturale e Geotecnica, University of Rome, Italy. 4. F. Verhulst, Emergence and break-down of normal mode manifolds of nonlinear wave equations; University of Utrecht, The Netherlands. 5. I.V. Andrianov, J. Awrejcewicz, A. Ivankov, Asymptotic solution of dynamical problems for non-homogeneous structures; Department of General Mechanics, TU University of Aachen, Germany; Technical University of Lódz, Department of Automatics and Biomechanics, Poland. 6. C.-H. Lamarque, F. Schmidt, On the use of quasi-Lyapunov exponents to assess finite-time behaviors; ENTPE/DGCB/LGM, France. 7. L.I. Manevitch, V.V. Smirnov, Localized nonlinear excitations and interchain energy exchange in the case of weak coupling; N.N. Semenov Institute of Chemical Physics, RAS, Polymer Department, Russian Federation. 8. A. Urbas, S. Wojciech, Dynamic analysis of the gantry crane used to transport bop; Department of Mechanics and Computer Science, University of Bielsko-Biala, Poland. 9. J. Xu, Y.Y. Zhao, Effect of time delays on saturation control in a nonlinear vibration absorber; School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China. 10. K. Zimmermann, I. Zeidis, M. Pivovarov, Motion of a chain of three point masses on a roach plane under kinematical constraints; Faculty of Mechanical Engineering, Technische Universität Ilmenau, Germany. 11. Alonso F.J., Cuadrado J., Del Castillo J.M. , Stable numerical differentiation in thecontext of kinematic and dynamic analysis of biomechanical systems; Departamento de Ingeniería Mecánica, Spain. 12. V.I Storozhev, A.A. Kuslivaya, Nonlinear anharmonic effects for normal waves in monocrystal anisotropic germanium layer with flexible not extensible coverings of sides; Department of Elasticity Theory and Computational Mathematics, Donetsk National University, Ukraine. 13. C. Rudolf, J. Wauer, Piezoelectric control of a planar machine tool with parallel kinematics; Institut für Technische Mechanik, Universität Karlsruhe (TH) Germany. 14. L. Pust, J. Kozanek, Mutual interaction of two aerodynamic bearings; University Institute of Thermomechanics, ASCR, Czech Republic. 15. T. Burczynski, W. Beluch, P. Orantek, Identification of dynamical systems in the fuzzy conditions; Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Poland. 16. V. Piccirillo, J.M. Balthazar, B.R. Pontes Jr., On nonlinear dynamics of a shape memory oscillator; UNESP – Sao Paulo State University, Department of Engineering Mechanics, Brazil. 17. A. Okninski, B. Radziszewski, Analytical and numerical investigations of impacting systems: a material point colliding with a limiter moving with piecewise constant velocity; Faculty of Management and Computer Modelling, Kielce University of Technology, Poland. 18. Yu.V. Mikhlin, G.V. Rudneva, T.V. Bunakova, Transient in 2-dof system which contains an essentially nonlinear absorber; Department of Applied Mathematics, National Technical University, Kharkov, Ukraine. 19. J.M. Mayo, On the use of the energetic coefficient of restitution in flexible multibody dynamics; Department Mechanical and Materials Engineering, University of Seville, Spain. 20. W. Blajer, J. Graffstein, M. Krawczyk, Modeling of aircraft prescribed trajectory flight as an inverse simulation problem; Institute of Applied Mechanics, Technical University