... Fields ,” SIAM J. Appl. Math. 0036-1399 , 52 , pp. 34 – 45 . 10.1137/0152003 composite materials design engineering elasticity micromechanics nonlinear dynamical systems partial differential equations structural engineering In the discussion of the effective properties...

... for the example used in the Sec. 4D with the same frequency of the two linear oscillators. nonlinear dynamical systems stochastic systems white noise Gaussian noise bifurcation nonlinear control systems optimal control reviews Stochastic dynamics was originated from...

... and Professor Elishakoff for their suggestions and fruitful discussions about linearization techniques. beams (structures) shells (structures) plates (structures) linearisation techniques nonlinear dynamical systems stochastic systems vibrations reviews The purpose of this part of the paper...

...Friedrich Pfeiffer; Arthur Leissa 16 02 2005 vibrations nonlinear dynamical systems continuum mechanics Cables, strings, and ropes are very well established construction elements in all areas of engineering; in civil, in mechanical, in electrical engineering and even...

...EI Rivin,, Author 16 02 2005 reviews vibration isolation nonlinear dynamical systems vibrations damping elasticity 11R2. Passive Vibration Isolation. - EI Rivin (Wayne State University, Detroit, MI). ASME Press, New York. 2003. 426 pp. ISBN 0-7918-0187-X. Reviewed...

... in-plane and out-of-plane modes. In this case, nonlinear modal interaction takes place when the natural frequencies of interacting modes are commensurable. nonlinear dynamical systems external flows vibrations stochastic processes bifurcation modal analysis reviews 16 02 2005...

... encountered in nonlinear experimental analysis of vibrating suspended cables. This review article cites 226 references. 16 02 2005 partial differential equations nonlinear dynamical systems bifurcation reviews continuum mechanics finite element analysis elasticity Suspended cables...

..., and Bifurcation of Vector Fields , Springer-Verlag, New York. Wiggins S (1990), Introduction to Applied Nonlinear Dynamical Systems and Chaos , Springer-Verlag, New York. Abraham RH, and Shaw CD (1992), Dynamics: The Geometry of Behaviour , Addison-Wesley, Redwood City. Rega G , Salvatori...

.... Some technical problems in this area are pointed out. The objective of this review is to excite more research in nonlinear dynamic systems. There are 47 references cited in this review article. The phase space in a nonlinear Hamiltonian system is separated into regular and chaotic motions...

...AM Bloch,, Author; B Brogliato,, Reviewer 10 02 2004 nonlinear dynamical systems nonlinear control systems control theory reviews 1R5. Nonholonomic Mechanics and Control. - AM Bloch (Dept of Math, Univ of Michigan, Ann Arbor MI 48109-1109). Springer-Verlag, New York...

...JC Robinson,, Author; C Pierre,, Reviewer 22 07 2003 partial differential equations nonlinear dynamical systems functional analysis reviews 7R7. Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors...

...B Ermentrout,, Author; A Mahajan,, Reviewer 22 07 2003 dynamics nonlinear dynamical systems simulation computer software mechanical engineering computing physics computing reviews 7R4. Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT...

...AA Martynyuk,, Author; RA Ibrahim,, Reviewer 15 01 2003 nonlinear dynamical systems difference equations Lyapunov methods Lyapunov matrix equations stability criteria reviews 1R11. Qualitative Methods in Nonlinear Dynamics: Novel Approaches to Liapunov’s Matrix Functions...

...GR Sell; Yuncheng You; K Anderson 11 09 2002 system theory linear systems nonlinear dynamical systems partial differential equations functional analysis reviews 9R8. Dynamics of Evolutionary Equations. Applied Math Sciences, Vol 143. - GR Sell (Sch of Math, Univ...

.... 11 09 2002 nonlinear dynamical systems oscillations chaos stochastic systems vibrations synchronisation resonance reviews 2002 American Society of Mechanical Engineers ...

... of Sheffield, UK) . Inst Phys Publ, Bristol, UK. 2001. 659 pp. ISBN 0-7503-0356-5. $130.00. nonlinear dynamical systems structural engineering reviews 03 04 2002 2002 American Society of Mechanical Engineers ...

...AH Nayfeh,, Author; RA Ibrahim,, Reviewer nonlinear dynamical systems classical mechanics engineering oscillations damping The case of nonlinear modal interaction in the form of energy transfer from high-frequency to low-frequency modes is considered in Chapter 6. The mechanism...