Erik Mosekilde's scientific work includes:
Experimental and theoretical investigations of instabilities in piezoelectric semiconductors: X-ray diffraction studies of acoustoelectrically amplified sound flux in the 100GHz regime. Analyses of linear and nonlinear trapping of electrons in donor states. Studies of mode-conversion and parametric subharmonic generation. Quantum statistical density matrix calculations of linear and nonlinear dielectric response functions.
Industrial energy analyses: Modeling of future industrial energy requirements. Analyses of energy conservation potentials in selected industries. Simulation studies of particular production processes. Application of finite-time thermodynamics to industrial blanching processes.
Nonlinear dynamic phenomena in physical and technical systems: Deterministic simulation of die tossing. Spatiotemporal chaos in electron transfer devices. Frequency-locking and chaos in coupled thermostatically controlled radiators. Bifurcations and chaos in optical ring cavities, digital electronic filters, and pulse-width modulated relay control systems. Border-collision bifurcations in mechanical and electrical systems. Thrust vectoring and air-craft maneuverability in the post-stall regime. Transonic flutter in aircraft wings.
Dynamic models of economic and managerial systems: Investigations of commodity market stabilization schemes and of occupational injury and illness causation. Behavioral models of business cycle formation and of production-distribution systems. Modeling the economic long wave in terms of capital self-ordering and as a result of techno-economic metamorphosis.
Nonlinear dynamic phenomena in economic and managerial systems: Mode-locking and chaos in a periodically driven model of the economic long wave. Entrainment between interacting economic sectors. Chaotic phenomena in migratory systems and in managerial resource allocation. Experimental evidence for chaos in human decision making behavior. Hyperchaos, chaos-chaos intermittency, and border-collision bifurcations in a production distribution chain.
Dynamic models of biological and ecological systems: Nonlinear dynamic phenomena in ecological food-web systems. Chaotic synchronization in cascaded population dynamic systems. Modeling the dynamics of bacterial cell division and of the swarming motility of Serratia liquifaciens. Studies of the enhancement and inhibitions of HIV infection of monocytes by antibodies against HIV and of gene therapy of AIDS patients.
Nonlinear dynamic phenomena in physiological control systems: Simulation of human respiratory control and of the safe operation of anesthetic equipment. Modeling of insulin absorption from the skin and of insulin pump operation. Studies of bone remodeling and of the efficacy of various treatments against ostereoporosis. Investigations of pulsatile insulin secretion and of the entrainment of the insulin secretion by periodically varying glucose infusions.
Nephron pressure and flow regulation: Physiologically based models of nephron pressure and flow control. 2D-continuation studies of the bifurcation structure in the single-nephron model. Parallel computer simulations of interacting nephrons. Chaotic phase synchronization between neighboring nephrons. Models of nephron-nephron interaction and of arteriolar network structures.
Cellular processes: Physiologically based models of pancreatic alpha and beta-cells. Compensation of beta-cell function in patients with glucokinase mutations. Bifurcation analysis of spiking and bursting phenomena in the membrane activity. Synchronization of interacting beta-cells. Calcium-induced calcium release in smooth muscle cells. Dynamics of small neuronal networks. Role of noise in cellular activity.
Pattern formation, morphogenesis, and biological evolution: Pattern formation and front propagation in chemical reaction-diffusion systems. Localized Turing and Turing-Hopf structures. Spot multiplication and wave splitting in bistable chemical systems. Absolute and convective instabilities in chemical reaction-diffusion systems. Bifurcation analysis of phyllotactic processes. Contributions to a quantitative theory of prebiotic evolution. Simulations of co-evolution in interacting bacterio-virus populations.
Detailed bifurcation analysis: 2D-continuation studies of a variety of different nonlinear oscillators. Bifurcation analysis of coupled period-doubling systems. Anomalous statistics for type III intermittency. Bifurcation analysis of coupled map lattices. Homoclinic mechanism of chaotic phase synchronization. Scaling behavior at the onset of chaos (tricritical and pseudo-tricritical points). Co-dimension-2 homoclinic bifurcations in bursting cell models. Border-collision bifurcations and torus destruction in piecewise-smooth systems.
Chaotic synchronization: Riddled and intermingled basins of attraction in coupled map systems. On-off intermittency and riddled basins of attraction in time continuous systems. Partial synchronization and clustering in globally coupled oscillator systems. Role of multistability in chaotic phase synchronization. Torus destruction in non-invertible map systems.