Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond
From MaRDI portal
Publication:2432301
DOI10.1007/s11071-006-0761-yzbMath1101.01309OpenAlexW1969728595MaRDI QIDQ2432301
Publication date: 25 October 2006
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-006-0761-y
Related Items (3)
A celebration of mechanics: from nano to macro. The J. Michael T. Thompson Festschrift issue ⋮ Advice to a young researcher: with reminiscences of a life in science ⋮ A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
- Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurcations
- On the buckling and imperfection-sensitivity of arches with and without prestress
- On the convection of a cusp in elastic stability
- Resonance-sensitivity in dynamic Hopf bifurcations under fluid loading
- Bifurcational instability of an atomic lattice
- Towards a unified bifurcation theory
- A bifurcation theory for the instabilities of optimization and design
- Bifurcation analyses in the parametrically excited vibrations of cylindrical panels
- The chaotic instability of a slowly spinning asymmetric top.
- Instability and self-contact phenomena in the writhing of clamped rods.
- Helical and localised buckling in twisted rods: A unified analysis of the symmetric case
- Writhing instabilities of twisted rods: From infinite to finite length
- Spatially complex localisation in twisted elastic rods constrained to a cylinder
- Optimal escape from potential wells -- patterns of regular and chaotic bifurcation
- Spatially complex localisation in twisted elastic rods constrained to lie in the plane
- The estimation of elastic critical loads
- The non-linear perturbation analysis of discrete structural systems
- The branching analysis of perfect and imperfect discrete structural systems
- A new approach to elastic branching analysis
- Basic theorems of elastic stability
- A general theory for the equilibrium and stability of discrete conservative systems
- A theory for the numerical analysis of compound branching
- Basic principles in the general theory of elastic stability
- Theprincipiaand contemporary mechanics: Chaotic dynamics and the new unpredictability
- Fractal control boundaries of driven oscillators and their relevance to safe engineering design
- Stability predictions through a succession of folds
- Indeterminate bifurcational phenomena in hardening systems
- From helix to localized writhing in the torsional post-buckling of elastic rods
- A multiplicity of localized buckling modes for twisted rod equations
- Suppression of escape by resonant modal interactions: in shell vibration and heave-roll capsize
- Basin explosions and escape phenomena in the twin-well Duffing oscillator: compound global bifurcations organizing behaviour
- Integrity measures quantifying the erosion of smooth and fractal basins of attraction
- Subharmonic Resonances and Chaotic Motions of a Bilinear Oscillator
- Stochastic penetration of smooth and fractal basin boundaries under noise excitation
- Structural localization phenomena and the dynamical phase-space analogy
- Ship stability criteria based on chaotic transients from incursive fractals
- Bifurcation analysis in the flight dynamics design process? A view from the aircraft industry
- Towards a classification of generic bifurcations in dissipative dynamical systems
- Chaotic phenomena triggering the escape from a potential well
- Indeterminate jumps to resonance from a tangled saddle-node bifurcation
- Lobe dynamics and the escape from a potential well
- Invariant sets of planar diffeomorphisms in nonlinear vibrations
- Mechanics of ship capsize under direct and parametric wave excitation
- BASIN ORGANIZATION PRIOR TO A TANGLED SADDLE-NODE BIFURCATION
- GENERIC PATTERNS OF BIFURCATION GOVERNING ESCAPE FROM POTENTIAL WELLS
- Indeterminate trans-critical bifurcations in parametrically excited systems
- Indeterminate sub-critical bifurcations in parametric resonance
- A buckling model for the set of umbilic catastrophes
- The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section
- The post-processed Galerkin method applied to non-linear shell vibrations
- Erosion of the basin of stability of a floating body as caused by dam breaking
- Straddle-orbit location of a chaotic saddle in a high-dimensional realization of R ∞
- Wave tank testing and the capsizability of hulls
- BASIN EROSION IN THE TWIN-WELL DUFFING OSCILLATOR: TWO DISTINCT BIFURCATION SCENARIOS
- THE EFFECT OF DAMPING ON THE STEADY STATE AND BASIN BIFURCATION PATTERNS OF A NONLINEAR MECHANICAL OSCILLATOR
- On Isotropic Extension of Anisotropic Tensor Functions
- Localization and solitary waves in solid mechanics
- Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature
- BRAIDS AND KNOTS IN DRIVEN OSCILLATORS
- A Variational Approach to Loaded Ply Structures
- The nonlinear dynamics of ship motions: a field overview and some recent developments
- Supercoiling of DNA plasmids: mechanics of the generalized ply
- Knot-types and bifurcation sequences of homoclinic and transient orbits of a single-degree-of-freedom driven oscillator
- Basin boundary metamorphoses in the canonical escape equation
- Philosophical Transactions into the 21st Century: an editorial
- Engineering and the physical sciences: the EPSRC takes an informal look into the future
- NUMERICAL DIMENSION-REDUCTION METHODS FOR NON-LINEAR SHELL VIBRATIONS
- An introduction to the mechanics of DNA
- Eigenvalue branching configurations and the Rayleigh-Ritz procedure
This page was built for publication: Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond