A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections
From MaRDI portal
Publication:5158769
DOI10.1142/S0218127421300354zbMath1504.74036OpenAlexW3203995415MaRDI QIDQ5158769
Publication date: 26 October 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127421300354
chaosbifurcationnonlinear dynamicsDNAimperfection sensitivityshell bucklingclimate tippingtwisted rodjournal editing
Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcation and buckling (74G60) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Biographies, obituaries, personalia, bibliographies (01A70) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear vibration with control. For flexible and adaptive structures
- Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
- Explicit lower bounds for the buckling of axially loaded cylinders
- Towards a unified bifurcation theory
- Instability and self-contact phenomena in the writhing of clamped rods.
- Cylindrical shell buckling: a characterization of localization and periodicity
- Cellular buckling in long structures
- Helical and localised buckling in twisted rods: A unified analysis of the symmetric case
- Paradoxical buckling behaviour of a thin cylindrical shell under axial compression
- Spatially complex localisation in twisted elastic rods constrained to a cylinder
- Buckling of thin cylindrical shells: An attempt to resolve a paradox
- Optimal escape from potential wells -- patterns of regular and chaotic bifurcation
- Bifurcation scenarios in helical buckling of slender rods using new FE
- Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond
- Coupled modes of elastic buckling
- The branching analysis of perfect and imperfect discrete structural systems
- Fundamental principles in the buckling of structures under combined loading
- The elastic stability of structural systems with independent loading parameters
- 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
- Sources of nonlinearities, chatter generation and suppression in metal cutting
- Shock-Sensitivity in Shell-Like Structures: With Simulations of Spherical Shell Buckling
- 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
- The dynamical integrity concept for interpreting/ predicting experimental behaviour: from macro- to nano-mechanics
- Intermittent control of coexisting attractors
- Chaos, Fractals and Their Applications
- Probabilistic Methods in the Theory of Structures
- PREDICTING CLIMATE TIPPING AS A NOISY BIFURCATION: A REVIEW
- Fractal control boundaries of driven oscillators and their relevance to safe engineering design
- Stability predictions through a succession of folds
- Climate tipping as a noisy bifurcation: a predictive technique
- From helix to localized writhing in the torsional post-buckling of elastic rods
- A multiplicity of localized buckling modes for twisted rod equations
- Quantified "Shock-Sensitivity" Above the Maxwell Load
- 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
- Cylinder Buckling: The Mountain Pass as an Organizing Center
- Structural localization phenomena and the dynamical phase-space analogy
- Ship stability criteria based on chaotic transients from incursive fractals
- 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
- Dynamical complexities of forced impacting systems
- Birkhoff signature change: a criterion for the instability of chaotic resonance
- Indeterminate trans-critical bifurcations in parametrically excited systems
- Indeterminate sub-critical bifurcations in parametric resonance
- Bifurcational precedences in the braids of periodic orbits of spiral 3-shoes in driven oscillators
- Imperfection-sensitivity of semi-symmetric branching
- The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section
- Wave tank testing and the capsizability of hulls
- BASIN EROSION IN THE TWIN-WELL DUFFING OSCILLATOR: TWO DISTINCT BIFURCATION SCENARIOS
- Localization and solitary waves in solid mechanics
- Computation of localized post buckling in long axially compressed cylindrical shells
- Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature
- Homoclinic and heteroclinic solutions of upheaval buckling
- Folding processes and solitary waves in structural geology
- Takens embedding theorems for forced and stochastic systems
- A Variational Approach to Loaded Ply Structures
- Controlling chaos
- The nonlinear dynamics of ship motions: a field overview and some recent developments
- Supercoiling of DNA plasmids: mechanics of the generalized ply
- Applications of Bifurcation: Nonautonomous Periodically-Excited Systems
- Analysis and control of the dynamical response of a higher order drifting oscillator
- Nonlinear buckling behaviour of spherical shells: barriers and symmetry-breaking dimples
- Nonlinear dynamics of spherical shells buckling under step pressure
- Instabilities of Nonconservative Fluid-Loaded Systems
- Buckling of spherical shells revisited
- Vibration of Axially-Loaded Structures
- An introduction to the mechanics of DNA
- Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics
- Experimental study of impact oscillator with one-sided elastic constraint
- Single-molecule magnetic tweezer tests on DNA: bounds on topoisomerase relaxation
- Imperfection Sensitivity of Externally Pressurized Spherical Shells
- Hermitian Methods for the Approximate Solution of Partial Differential Equations
- Instability of symmetric structural systems with independent loading parameters
- The Post‐Buckling Behaviour of Structures under Combined Loading
- The finite difference and localized Ritz methods
- Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids
