Defiant crowds have spent the night on the streets of Sudan's capital, Khartoum, ignoring a curfew declared by the military.
Long-time President Omar al-Bashir was overthrown and arrested after months of street protests.
"This is a continuation of the same regime," said Sara Abdeljalil of the Sudanese Professionals' Association (SPA). "So what we need to do is to continue the fight and the peaceful resistance."
An SPA statement said that "those who destroyed the country and killed the people are seeking to steal every drop of blood and sweat that the Sudanese people poured in their revolution that shook the throne of tyranny".
The SPA has previously said that any transitional administration must not include anyone from the "tyrannical regime".
Crowds waved flags and chanted "Fall, again!" - refashioning their previous anti-Bashir slogan of "Fall, that's all!Mr Ibn Auf said the country had been suffering from "poor management, corruption, and an absence of justice" and he apologised "for the killing and violence that took place".
There is also a real danger that different elements of the security forces and militia could turn their guns on each other.Sudan is due to reopen its airspace on Friday, following a 24-hour suspension, but land and maritime borders will remain closed, the military council has said.
The armed forces and the security council would carry out their "duty to uphold peace and security and protect citizens' livelihoods",Thousands of people were still camped outside military headquarters on Friday and the crowd was reportedly growing.Thursday's mood of celebration after news of Mr Bashir's arrest evaporated when organisers called for the mass sit-in to continue.He said the army would oversee a two-year transitional period followed by elections.The minister also said a three-month state of emergency was being put in place, with the constitution suspended.
The military council's leader
Before the coup, Mr Ibn Auf was Mr Bashir's first vice-president and defence minister, and was regarded as being well placed to succeed him.
During the Darfur conflict at the beginning of the century, he was head of military intelligence and the US imposed sanctions on him in 2007 in relation to his alleged support of the Janjaweed militia blamed for atrocities there.This is a military coup with no clear roadmap for how the generals plan to hand over power to civilian rule.
The fear will be that they have no such intention. The security elite has calculated that removing Omar al-Bashir and imposing a curfew will buy them time and end the protests. If so, this represents a serious miscalculation.The SPA and other civil society groups have made it clear they won't accept a cosmetic change. They have the numbers and are highly organised.
The military has the guns and the capacity for imposing brutal repression. But what then? A crackdown will not resolve the desperate economic crisis that brought years of simmering resentment on to the streets last December.There is also the question of the cracks within the Sudanese security establishment, evident during the clashes between soldiers and intelligence/militia forces in recent days. It is a volatile and unpredictable situation that demands cool heads and compromise on the part of the military. The stability of Sudan depends on how they react to continued protests.
What will happen to Bashir?
It is not yet clear what will happen to the 75-year-old, who is now in custody.He is the subject of two international arrest warrants issued by the International Criminal Court (ICC), which accuses him of organising war crimes and crimes against humanity in Darfur between 2003 and 2008.There are, according to the ICC, "reasonable grounds" to believe that he "acted with specific intent to destroy in part the Fur, Masalit and Zaghawa ethnic groups".Mr Bashir's rule was marked by civil war. A conflict with the south of the country ended in 2005 and South Sudan became independent in 2011.
Demonstrations against his rule began in December, triggered by a rise in the cost of living, and at least 38 people died in the unrest.The former army officer himself came to power in 1989 through a military coup.
UN Secretary-General António Guterres appealed for "calm and utmost restraint by all" and urged a transition that would meet the "democratic aspirations" of the people. The UN Security Council is to discuss the situation in a closed-door meeting on Friday.
UK Foreign Secretary Jeremy Hunt said that a two-year military council was "not the answer" and called for a "swift move to an inclusive, representative, civilian leadership".The African Union condemned the military takeover, saying it was not an appropriate response to the challenges facing Sudan and the aspirations of its people.Russia, which twice hosted Mr Bashir despite the international travel ban he faced, called for calm and said it was monitoring the situation.Amnesty International's Secretary General Kumi Naidoo said that justice was "long overdue" for Mr Bashir.