Arsenal came away with a point despite twice going behind, first to Leroy Sane's opener and then to Sergio Aguero's 42nd minute strike - with Walcott and Shkodran Mustafi equalising for the Gunners.
Arsenal equalised through Theo Walcott, before Shkodran Mustafi's second-half header cancelled out Sergio Aguero's strike, but the point leaves the Londoners in sixth on 51 points, seven behind City who now occupy the final Champions League qualifying berth.
Arsenal have now gone three Premier League games in a row without victory, and Wenger says the pressure to perform was felt by his players. "I feared that we could start with the handbrake on because of the pressure we are under", said Wenger.
"You could see that the team were touched on the confidence front and that the fluency in our game suffered", said Wenger. "We have shown great mental resource".
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"We play better when the team is down", Guardiola explained.
Arsene Wenger, Manager of Arsenal looks on prior to kick off during the Barclays Premier League match between Swansea City and Arsenal at Liberty Stadium on March 16, 2013 in Swansea, Wales.
Nearly £4,000 has been raised through a crowdfunding campaign, with some of the funds used to decorate a van with quotes from Wenger and Arsenal chief executive Ivan Gazidis. "We can think about mathematics when the confidence is there again but hopefully that will help us restart now".
"I want to congratulate Jesus Navas who was excellent against one of the best players in the world in Alexis Sanchez", Guardiola was quoted as saying by City's official website after Sunday's 2-2 draw. On top of that, we lost [Laurent] Koscielny to an achilles injury at half-time.
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So, it turns out City couldn't even beat Arsenal at their very lowest ebb.
City took their feet off the gas when they were ahead twice, and Guardiola said they play their best when their backs are against the wall.
Wenger reported that he did not know how long Koscielny would be out but Aaron Ramsey (calf) and Alex Oxlade-Chamberlain (hamstring) could return for the home game against West Ham United on Wednesday.
Chelsea gave title rivals a glimmer of hope by losing to Crystal Palace on Saturday, but City is 11 points behind the leaders with nine games left. I think Pep Guardiola has said to be in the top four is a trophy because in England it is so hard.
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"I am here for 20 years and if I have shown one thing it is complete loyalty to this club", Wenger said. Middlesbrough manager Agnew added: "The attitude and intensity of the players was there for all to see and that will hold us in good stead". Of course they have to run, but I like when they have the personality to play.