The 24^{th} European Conference on Iteration Theory (ECIT 2024) dedicated to the memory of Oleksandr Sharkovsky will take place in Vimeiro, Portugal, a small village in front of the sea, on the west coast of Portugal, 50 km from Lisbon, between Monday, 27^{th} May 2024 and Friday, 31^{st} May 2024. The conference will be held in association with the International Society of Difference Equations (ISDE)

**In Memoriam:** Oleksandr Mykolayovych Sharkovsky – A Mathematical Genius

(1936 – 2022)

In this conference, we gather to pay tribute to the memory of Олекса́ндр

Миколайович Шарко́вський, Oleksandr Mykolayovych Sharkovsky, a

distinguished figure in the world of mathematics. Born on December 7,

1936, in Kyiv, Ukraine, Sharkovsky’s journey through the realm of

mathematics commenced in his youth, marked by an unwavering curiosity

for numbers and patterns.

Alexander Sharkovsky’s technical acumen was truly remarkable. His

contributions to the field of dynamical systems and chaos theory stand

as enduring milestones in the annals of mathematical thought. Navigating

the intricacies of mathematical structures, he unveiled the profound

insights encapsulated in the Sharkovsky theorem, an epochal contribution

to the study of periodic points in continuous dynamical systems.

With remarkable lucidity, Sharkovsky’s bridged the chasm between

theoretical constructs and real-world applications in the case of his

studies in turbulence. His work bestowed upon mathematicians and

scientists indispensable tools for comprehending the intricate tapestry

of interwoven systems that govern our universe. He shed light on the

concealed order lurking within ostensibly random phenomena in dynamic

systems.

Through his mentorship, he nurtured generations of mathematicians…

Amidst his mathematical endeavors, Sharkovsky championed the imperative

of fostering international collaboration and camaraderie among

mathematicians. He believed fervently in the universality of the

language of mathematics, transcending geographical boundaries to unite

minds across the globe.

As we reflect upon the legacy of this mathematical luminary, let us not

only mourn his departure but also celebrate the profound heritage he

bequeaths to us. Oleksandr Mykolayovych Sharkovsky’s mathematical

brilliance will continue to inspire and guide generations of

mathematicians yet unborn. His work has flung open the doors to

uncharted territories of comprehension, igniting creativity and

curiosity in countless hearts and minds.

In this poignant moment, let us remember not just the equations and

theorems but the man who embodied the spirit of mathematical

exploration, who uncovered the radiance concealed within the deepest

recesses of mathematical enigma. Oleksandr Sharkovsky’s legacy shall

endure; his contributions to the realm of mathematics shall resound

through the corridors of academic history.

As we bid farewell in this conference to this towering mathematical

figure and amiable man, let us honor his memory by perpetuating our

quest to explore the boundless wonders of mathematics, just as he did

throughout his illustrious life. To quote the great Carl Sagan,

“Somewhere, something incredible is waiting to be known.” Sharkovsky has

shown us that this pursuit of discovery is noble and everlasting. Rest

in peace, esteemed mathematician, colleague, and friend, for your legacy

shall forever shine as a guiding star in the mathematical firmament.

And in his honor, we shall not forget the remarkable order of natural

numbers encapsulated in the Sharkovsky ordering, a testament to his

enduring impact on the world of mathematics.

**Topics**

As its name states the main topic of this conference is iteration theory. In particular among the main topics are discrete dynamical systems, functional equations and difference equations. Questions of this type arise for example in biology, physics, economics and engineering.

**History of ECIT**

The first European Conference on Iteration Theory took place 1973 in Toulouse (France). It was continued 1977 in Graz (Austria), 1980 in Marburg (Germany), 1982 in Toulouse (France), 1984 in Lochau (Austria), 1987 in Caldes de Malavella (Spain), 1989 in Batschuns (Austria), 1991 in Lisboa (Portugal), 1992 in Batschuns (Austria), 1994 in Opava (Czechia), 1996 in Urbino (Italy), 1998 in Muszyna (Poland), 2000 in La Manga del Mar Menor (Spain), 2002 in Évora (Portugal), 2004 in Batschuns (Austria), 2006 in Gargnano (Italy), 2008 in Yalta (Ukraine), 2010 in Nant (France), 2012 in Ponta Delgada (Portugal), 2014 in Łagów (Poland), 2016 in Innsbruck (Austria), 2018 in Murcia (Spain), 2022 in Reichenau an der Rax (Austria).

**Sponsorships**

The conference has the support of the national funds through the FCT – Fundação para a Ciência e a Tecnologia, under the scope of the projects UIDB/04459/2020 and UIDP/04459/2020 (CAMGSD-IST) and UIDB/04674/2020 (CIMA)