Research Interests
For mathematicians:
Dynamical
systems and ergodic theory; Lyapunov
exponents of conservative systems, linear differential systems, robust
transitivity, stable ergodicity, generic properties
of volume-preserving systems and Hamiltonians, mechanical systems and geodesic
flows, topological dynamics, structural and
topological stability of dynamical systems, entropy of
dynamical systems, knots and dynamics, shadowing-type properties,É
For non-mathematicians:
ÓIn chaos theory, the butterfly effect is the sensitive
dependence on initial conditions, where a small change
at one place
in a nonlinear system can result in large
differences to a later state.
The name of the effect,
coined by Edward
Lorenz, is derived from the theoretical
example of a hurricane's formation being contingent on whether or
not a distant butterfly had flapped
its wings several weeks beforeÓ.
(in
Wikipedia)
