Fym, nature of equilibria and effects of drug treatments in some simple viral population dynamical models... For parameter values in their usual ranges, P \ is either an asymptotically stable node or a saddle point When the critical point Pi occurs at biologically meaningful values, it is either an asymptotically stable node or an asymptotically stable spiral point For all three HTV-1 models, the values of the parameter
Oscillatory finite-time singularities in finance, population and rupture... The dynamical behavior istraced back fundamentally to the self-similar spiral structure of trajectoriesin phase space unfolding around an unstable spiral point at the origin....
On the stability of stationary shock waves in nozzle flows with homogeneous condensation... In this case it is shown that a catastrophic change in the phase portraits of the flow variables, where the spiral point turns into a nodal point, occurs when the initial relative humidity exceeds a critical value, resulting in the alteration of the quasi-one-dimensional steady-state...
In finance, population and rupture... The rich fractal scaling properties of the dynamics are traced back to the self-similar spiral structure in phase space unfolding around an unstable spiral point at the origin....
