Transverse instability for non-normal parameters

摘要: We consider the behaviour of attractors near invariant subspaces on varying a parameter that changes dynamics in subspace dynamical system. refer to such as `non-normal'. In presence chaos is fragile, we find blowout bifurcations are blurred over range values. demonstrate this can occur set positive measure space. Under an assumption not skew product form, these create displaying `in-out intermittency', generalized form on-off intermittency. characterize in-out intermittency both terms its structure phase space and statistically by means Markov model. discuss some other bifurcation effects associated with non-normal parameters, particular riddled basins transition between