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- catalog contributor b411993.
- catalog created "c1982.".
- catalog date "1982".
- catalog date "c1982.".
- catalog dateCopyrighted "c1982.".
- catalog description "Astrophysics and gravitational collapse: Collapse of a massive cold star in general relativity ; Supernovae explosions of cooling stars ; Gravothermal catastrophe of hot stellar systems ; Core-haloes in globular clusters ; Evolution of rotating planetary masses -- Bifurcational instability of an atomic lattice: Symmetry-breaking phenomena ; Quantum mechanical and Newtonian foundations ; Perturbation theory for hill-top branching ; Imperfection sensitivity in crystal fracture ; The Lennard-Jones potential for an atomic bond ; The close-packed sheet ; The four-atom unit cell ; Application of the general theory ; The three-dimensional lattice ; Further work -- Spontaneous order in biochemical reactions and developmental biology: The Brusselator model chemical reaction ; Creation of spatial order in thermodynamics ; Cell differentiation in developmental biology -- Population dynamics and evolution of a prey-predator ecology: Lotka-Volterra equations ; Stability of the steady state ; Numerical solutions by finite differences ; An evolution game ; Structural stability ; Ecological considerations ; Current work -- Hydrodynamic instabilities and the onset of turbulence: Flow in a circular pipe ; Flow in an annular tube ; General hydrodynamic instabilities ; Taylor vortices between rotating cylinders --".
- catalog description "Chaotic dynamics of a strange attractor: The finite-difference mapping of Henon ; Numerical results and magnification sequences ; Sensitivity to initial conditions ; Sensitivity to computational round-off errors ; Modern work and the chaotic motions of a buckled beam -- Self-excited oscillations under non-conservative fluid loading: Aeroelastic galloping of a bluff structure ; Aircraft panel flutter at high supersonic speeds ; State and dynamic instabilities of a pipe conveying fluid ; Resonance sensitivity of a dynamic Hopf bifurcation -- Orbital stability and the attitude control of spacecraft: Stability of motion of an orbiting particle ; Passive nutation damping of a spinning satellite -- Dynamical field theories for neural activity in the brain: The brain and central nervous system ; Mechanics of excitation and inhibition ; Folds and multiple hysteresis in the steady states ; Temporal oscillations in a limit cycle ; Pattern formation in the space of a neural field -- Appendix: Some biographies in the history of stability.".
- catalog description "Foreword / Sir James Lighthill -- Introduction: Historical survey from Newton to Andronov ; Instabilities of a linear oscillator ; Non-linear static and dynamic bifurcations ; Static bifurcations and catastrophe theory ; The fold or limit point ; The cusp or symmetric bifurcation ; The hyperbolic umbilic and hill-top branching ; Higher-order catastrophes and structural optimization ; Galloping and flutter or suspension bridges ; Emergence of order in biochemical reactions ; Non-conservative problems of fluid loading ; Dynamical systems theory and topological stability ; Chaos, turbulence, and strange attractors ; Concluding remarks -- The buckling of engineering structures: Simple experiments on a flexible column ; Analysis of a cantilevered link model ; Large deflection beam formulation ; Buckling and post-buckling in the first harmonic ; A model column with two degrees of freedom ; Complete harmonic analysis of a strut on a foundation ; Symmetric and non-symmetric snap-through of arches ; Some distinct and compound branching points ; Practical problems of strength estimation --".
- catalog description "Includes bibliographical references and indexes.".
- catalog extent "xvi, 226 p. :".
- catalog hasFormat "Instabilities and catastrophes in science and engineering.".
- catalog identifier "0471099732".
- catalog identifier "0471100714 (pbk.)".
- catalog isFormatOf "Instabilities and catastrophes in science and engineering.".
- catalog issued "1982".
- catalog issued "c1982.".
- catalog language "eng".
- catalog publisher "Chichester [West Sussex] ; New York : Wiley,".
- catalog relation "Instabilities and catastrophes in science and engineering.".
- catalog subject "514/.74 19".
- catalog subject "Catastrophes (Mathematics)".
- catalog subject "Mathematical models.".
- catalog subject "QA614.58 .T46 1982".
- catalog subject "Stability.".
- catalog tableOfContents "Astrophysics and gravitational collapse: Collapse of a massive cold star in general relativity ; Supernovae explosions of cooling stars ; Gravothermal catastrophe of hot stellar systems ; Core-haloes in globular clusters ; Evolution of rotating planetary masses -- Bifurcational instability of an atomic lattice: Symmetry-breaking phenomena ; Quantum mechanical and Newtonian foundations ; Perturbation theory for hill-top branching ; Imperfection sensitivity in crystal fracture ; The Lennard-Jones potential for an atomic bond ; The close-packed sheet ; The four-atom unit cell ; Application of the general theory ; The three-dimensional lattice ; Further work -- Spontaneous order in biochemical reactions and developmental biology: The Brusselator model chemical reaction ; Creation of spatial order in thermodynamics ; Cell differentiation in developmental biology -- Population dynamics and evolution of a prey-predator ecology: Lotka-Volterra equations ; Stability of the steady state ; Numerical solutions by finite differences ; An evolution game ; Structural stability ; Ecological considerations ; Current work -- Hydrodynamic instabilities and the onset of turbulence: Flow in a circular pipe ; Flow in an annular tube ; General hydrodynamic instabilities ; Taylor vortices between rotating cylinders --".
- catalog tableOfContents "Chaotic dynamics of a strange attractor: The finite-difference mapping of Henon ; Numerical results and magnification sequences ; Sensitivity to initial conditions ; Sensitivity to computational round-off errors ; Modern work and the chaotic motions of a buckled beam -- Self-excited oscillations under non-conservative fluid loading: Aeroelastic galloping of a bluff structure ; Aircraft panel flutter at high supersonic speeds ; State and dynamic instabilities of a pipe conveying fluid ; Resonance sensitivity of a dynamic Hopf bifurcation -- Orbital stability and the attitude control of spacecraft: Stability of motion of an orbiting particle ; Passive nutation damping of a spinning satellite -- Dynamical field theories for neural activity in the brain: The brain and central nervous system ; Mechanics of excitation and inhibition ; Folds and multiple hysteresis in the steady states ; Temporal oscillations in a limit cycle ; Pattern formation in the space of a neural field -- Appendix: Some biographies in the history of stability.".
- catalog tableOfContents "Foreword / Sir James Lighthill -- Introduction: Historical survey from Newton to Andronov ; Instabilities of a linear oscillator ; Non-linear static and dynamic bifurcations ; Static bifurcations and catastrophe theory ; The fold or limit point ; The cusp or symmetric bifurcation ; The hyperbolic umbilic and hill-top branching ; Higher-order catastrophes and structural optimization ; Galloping and flutter or suspension bridges ; Emergence of order in biochemical reactions ; Non-conservative problems of fluid loading ; Dynamical systems theory and topological stability ; Chaos, turbulence, and strange attractors ; Concluding remarks -- The buckling of engineering structures: Simple experiments on a flexible column ; Analysis of a cantilevered link model ; Large deflection beam formulation ; Buckling and post-buckling in the first harmonic ; A model column with two degrees of freedom ; Complete harmonic analysis of a strut on a foundation ; Symmetric and non-symmetric snap-through of arches ; Some distinct and compound branching points ; Practical problems of strength estimation --".
- catalog title "Instabilities and catastrophes in science and engineering / J.M.T. Thompson.".
- catalog type "text".