UPDATE 9-Putin blames the West, Ukraine after mob storms Russian airport to 'catch' Jews

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Putin says West behind Russian airport riot

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Anti-Semitic rioters stormed it on Sunday

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Police say airport is now under their full control

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Senior Rabbi calls for harsh punishment

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Russia accuses Ukraine of stirring up trouble, Kyiv denies

(Releads with Putin, adds U.S. reaction, Israel travel warning)

By Andrew Osborn and Filipp Lebedev

Oct 30 (Reuters) - President Vladimir Putin accused the West and Ukraine of stirring up unrest inside Russia after rioters in the predominantly Muslim Dagestan region stormed an airport to "catch" Jewish passengers on a flight from Tel Aviv.

The United States condemned the events, which a State Department spokesperson said had "looked like a pogrom."

Ukrainian presidential adviser Mykhailo Podolyak told Reuters that Kyiv had "nothing to do" with the violence, while a senior Russian Rabbi said there had to be a harsh response against those who took part.

Videos obtained by Reuters from the airport at Makhachkala, the regional capital of Dagestan, showed the rioters, mostly young men, waving Palestinian flags, breaking down glass doors and running through the airport on Sunday evening shouting "Allahu Akbar" or "God is Greatest".

One group was seen trying to overturn a police patrol truck, while another video showed rioters on the tarmac surrounding a Red Wings aircraft which had arrived from Tel Aviv.

One placard brandished by rioters in an unverified social media post said: "There is no place for child killers in Dagestan."

Another said: "We are against Jewish refugees."

The unrest in Dagestan, where Russian security forces once fought an Islamist insurgency, is a headache for Putin, who is waging a war in Ukraine and is keen to maintain stability at home ahead of an expected presidential election next year.

Putin accused the West and Ukraine of helping whip up the unrest via social media, part of what he said was Washington's agenda of creating global chaos to ensure its continued dominance and prevent rivals like Russia from taking their place in a new multipolar world.

Speaking at a meeting with security chiefs Putin said shadowy U.S.-backed forces were trying to destabilise and split Russia's multi-ethnic and multi-confessional society.

"For this purpose, they use a variety of means, as we can see - lies, provocations and sophisticated technologies of psychological and information aggression.

"The events in Makhachkala last night were inspired also through social networks, not least from the territory of Ukraine, by the hands of agents of Western special services."