IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics: Proceedings of the IUTAM Symposium held in Ithaca, NY, U.S.A., 27 July–1 August 1997

Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Bifurcation in Stochastically Perturbed Dynamical Systems....Pages 3-11
Nonstationary Responses in Two Degree-of-Freedom Nonlinear Systems with 1-to-2 Internal Resonance....Pages 13-22
Sinusoidally Varying Period-Doubling Bifurcations....Pages 23-29
Wavelet Approach to Mechanical Problems. Symplectic Group, Symplectic Topology and Symplectic Scales....Pages 31-40
On the Generalized Cell Mapping....Pages 41-50
Bursts....Pages 51-60
Dynamics of a Quasiperiodically-Forced Mathieu Oscillator....Pages 61-70
Improved Galerkin Method in the Dimension Reduction of Nonlinear Dynamical Systems....Pages 71-80
Sequences of Global Bifurcations and Multiple Chaotic Transients in a Mechanical Driven Oscillator....Pages 81-91
Bifurcation of Homoclinic Orbits in Autonomous Systems and in Chaotic Blue Sky Catastrophe....Pages 93-100
Wavelet Approach to Polynomial Mechanical Problems....Pages 101-108
Jumps to Resonance Phenomena in Nonlinear Mechanics: Fractal Basins, Chaotic Transients and Unpredictability....Pages 109-115
Global Stable Oscillations Near Unstable Equilibrium Positions: The Hilltop Effect....Pages 117-124
Front Matter....Pages 125-125
Homoclinic Orbits, Spatial Chaos and Localized Buckling....Pages 127-138
Nonregular Regimes of Monodimensional Mechanical Systems with Initial Curvature: Experiments and Time Series Analysis....Pages 139-148
Constrained Euler Buckling: Line Contact Solutions....Pages 149-158
The Role of Homoclinic Bifurcations in Understanding the Buckling of Long Thin Cylindrical Shells....Pages 159-168
Dynamics of a Buckled Drillstring Rotating in a Curved Oil Wellbore....Pages 169-171
The Complex Non-Linear Dynamics of Imperfection Sensitive Shells....Pages 173-180
Front Matter....Pages 181-181
The Dynamics of Chip Formation in Machining....Pages 183-192
Front Matter....Pages 181-181
Chatter Identification and Control for a Boring Process....Pages 193-202
Coupling and Resonance Phenomena in Dynamic Systems with Hysteresis....Pages 203-212
Maps, Traps, and Equilibria for a Fully Dissipative Elastoplastic Oscillator....Pages 213-220
Front Matter....Pages 221-221
Nonlinear Dynamics and the Design of Tuned Pendulum Vibration Absorbers....Pages 223-234
Dynamical Behavior of Chains....Pages 235-252
Chaos in Offset Hydrodynamic Rotor Bearings....Pages 253-260
Front Matter....Pages 261-261
Dynamics of Elastic Structures Subjected to Impact Excitations....Pages 263-272
A Method for Finding all Possible Periodic Orbits in Piecewise Continuous Mechanical Systems of Arbitrary Dimension....Pages 273-282
Dynamics of the Impact Oscillator....Pages 283-292
Numerical and Experimental Investigation of Nonsmooth Mechanical Systems....Pages 293-302
Steady-State Behaviour of a Solar Array System with Elastic Stops....Pages 303-312
Nonlinear Dynamics of Mechanical Systems with Discontinuities....Pages 313-322
Displacement Potentials in Non-Smooth Dynamics....Pages 323-330
Front Matter....Pages 331-331
Driven Nonlinear Oscillators for Modeling Cardiac Phenomena....Pages 333-342
Chaos, Synchronization and Bifurcations in a Driven R-L-Diode Circuit....Pages 343-352
Transient Global Behavior in Nonlinear Experimental Oscillators....Pages 353-362
Control of Chaos for Pendulum Systems....Pages 363-370
Front Matter....Pages 371-371
Delay, Nonlinear Oscillations and Shimmying Wheels....Pages 373-386
Symmetry, Generic Bifurcations, and Mode Interaction in Nonlinear Railway Dynamics....Pages 387-396
A Traveler’s Woes: Some Perspectives from Dynamical Systems....Pages 397-406
Front Matter....Pages 371-371
Stability and Chaos in Passive-Dynamic Locomotion....Pages 407-416
On the Multi-Degree of Freedom, Nonlinear Dynamics of Ship Motions with Application to the Broaching Problem....Pages 417-424
Front Matter....Pages 425-425
Nonlinear Dynamics of Aeroelastic Systems....Pages 427-449
Stabilization of Nonlinear Hydroelastic Structures via Random Parametric Excitation....Pages 451-460
Aircraft Stability and Control: Bifurcation Analysis In The Design Process ?....Pages 461-470
Global Dynamics in Gyroscopic and Aeroelastic Systems....Pages 471-482
Chaotic Oscillations of a Loosely Supported Tube in a Heat-Exchanger Array in Cross-Flow....Pages 483-492
Stabilization of Periodic Flap-Lag Dynamics in Rotorcraft....Pages 493-502
A Mathematical Model of Pendelluft Flow in a Single Airway Bifurcation....Pages 503-504
The Periodic to Chaotic Water Wheel....Pages 505-512
Helical Waves and Nonlinear Dynamics of Fluid/Structure Interactions in a Cylinder Row....Pages 513-520
Front Matter....Pages 521-521
Spatio-Temporal Dynamics of Coupled Magneto-Elastic System....Pages 523-531
Spatially Localized and Chaotic Motions of a Discretely Supported Elastic Continuum....Pages 533-542
Optimal Control of Spatiotemporal Chaos in Coupled Map Lattices....Pages 543-550
Back Matter....Pages 551-562