Many protesters regrouped in nearby Gezi Park , where unrest continued into Wednesday morning .
At dawn , bulldozers moved into Taksim Square to clear away debris , barricades and makeshift shelters .
Protests began 13 days ago over the redevelopment of Gezi Park .
They then widened , with demonstrators accusing Prime Minister Recep Tayyip Erdogan of becoming increasingly authoritarian and trying to impose conservative Islamic values on a secular state .
Mr Erdogan has offered to hold talks with protest organisers on Wednesday but correspondents say it is unclear whether the meeting will still take place in light of the clashes .