Zeeman, E. C. Bifurcation, catastrophe, and turbulence. (English) Zbl 0497.58007 New directions in applied mathematics, Pap. present. 1980 on the Occas. of the Case centen. Celebr., 109-153 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 58K35 Catastrophe theory 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 37A99 Ergodic theory 37G99 Local and nonlocal bifurcation theory for dynamical systems 37C70 Attractors and repellers of smooth dynamical systems and their topological structure 76F99 Turbulence 92C50 Medical applications (general) Keywords:pitchfork bifurcation; cusp catastrophe; stability and organizing centers for flows on manifolds; elementary flows; Lyapunov function; locally stable functions; hyperthyroidism; Taylor cells; fluid mechanics; Hopf bifurcation; saddle connection catastrophe for a damped Hamiltonian equation; Bowen-Ruelle measure; onset of turbulence; strange attractor; suspension of a diffeomorphism; Henon attractor; Smale horshoe; broadening of the spectral lines Citations:Zbl 0468.00001; Zbl 0461.76016; Zbl 0407.58023; Zbl 0311.58010; Zbl 0355.58010 PDFBibTeX XML