Formazione continuaLifelong Learning

Progress on Difference Equations - PODE 2023

International Conference
Seminari, convegni, giornate studio
Area tematica:
Economia, management e imprenditorialità
Settore professionale:
Imprese, organizzazioni

Location: Milan

Da: 29/05/2023
A: 31/05/2023

Scadenza iscrizioni: 26/04/2023

This is the 13th International Conference which follows those held each year since 2007. After 2017, the workshop PODE alternates each year with the European Conference on Iteration Theory ECIT and therefore is being held every two years. This conference continues in the line of other PODE workshops: Laufen (Germany) in 2007, Laufen (Germany) in 2008, Bedlewo (Poland) in 2009, Xanthi (Greece) in 2010, Dublin (Ireland) in 2011, Richmond (Virginia, USA) in 2012, Bialystok (Poland) in 2013, Izmir (Turkey) in 2014, Covilhã (Portugal) in 2015, Riga (Latvia) in 2016, Urbino (Italy) in 2017 and Bragança (Portugal) in 2019.

The conference aims to gather together the members of the ISDE society and all researchers around the world that study difference equations and their applications to economics, social sciences, engineering, physics, chemistry and biology.

Registrations are open
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In collaborazione con il Dipartimento di Management, dell'Università degli Studi di Torino.

CONFERENCE VENUE: Largo Gemelli n.1 Milan, Room Pio Xi first floor.

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Young and Senior Scholars studying difference equations and their applications.



The conference aims to bring together both junior and senior researchers to exchange new ideas and the latest developments in their research. Participants will present the recent progress in the areas of difference equations and discrete dynamical systems


1st day: Monday - 29th May
8:30-9:00 – Registration
9:00-9:30 - Open Session
9:30-11:00 - Session Chair: Laura Gardini
9:30-10:00 - Wirot Tikjha: Unbounded Cycles and Unbounded Chaotic Intervals in a Rational Map
10:00-10:30 - Ilaria Foroni: Border collision bifurcations and coexisting chaotic attractors in an economic bimodal one-dimensional map
10:30-11:00 - Iryna Sushko: Lozi map embedded into the 2D border collision normal form
11:00-11:30 - Coffee-Break (Catering - room, Pio XI)
11:30-13:00 - Session Chair: Davide Radi
11:30-12:00 - Serena Brianzoni: Nonlinear financial multi-market model with heterogeneous agents
12:00-12:30 - Giovanni Campisi: Bifurcations and chaos in banking duopoly dynamics with macroprudential policy
12:30-13:00 - Jochen Jungeilges: Estimating critical intensities of bull and bear states
13:00-14:30 - Lunch (Catering - room, Pio XI)
14.30:15:30 - Saber Elaydi (Invited Talk): Mixed monotone autonomous and non-autonomous systems and applications to species evolution
15:30-17:00 - Session Chair: Saber Elaydi
15:30-16:00 - Emma D'Aniello: On Koopman Operators
16:00-16:30 - Ryusuke Kon: Dynamics of a discrete-time competition model of Ricker type with reproductive delay
16:30-17:00 - Tatiana Odzijewicz: Applications of the fractional Sturm-Liouville difference problem to the fractional diffusion difference equations
17:00-17:30 - Coffee-Break (Catering - room, Pio XI)
17:30-18:30 - Anastasiia Panchuk (Invited Talk): Bifurcations of chaotic attractors in 1D maps with multiple discontinuities
19:00-21:00 - Welcome Party

2nd day: Tuesday - 30th may
8:30-10:30 – Session Chair: Bogdan Sasu
8:30-9:00 - Mihály Pituk: Shadowing for nonautonomous difference equations with infinite delay
9:00-9:30 - Davor Dragi&'269;evi&'263;: Smooth linearization under polynomial dichotomy
9:30-10:00 - Adina Luminita Sasu: Admissibility and Trichotomy of Discrete Dynamical Systems
10:00-10:30 - Xiao Tang: Dependence on parameters in linearization of nonautonomous systems
10:30-11:00 - Coffee-Break (Catering - room, Pio XI)
11:00-12:00 - Session Chair: Ryusuke Kon
11:00-11:30 - Petr Stehlik: Difference equations and spatial models in mathematical biology and economics
11:30-12:00 - Azmy S. Ackleh: Discrete-Time Population Models with Dispersal
12:00-12:30 - Malgorzata Guzowska: Dynamically consistent discretization method for the goodwin model with a non linear Phillips curve
12:30-13:30 - Lunch (Catering - room, Pio XI)
13.30-14:30 - Peter Raith (Invited Talk): Entropy, pressure and transitivity for monotonic mod one transformations
14:30-18:00 - Social Event - Visiting of the Milan Cathedral (Duomo di Milano)
16:30-18:00 – Guided Tour Milan Cathedral (Duomo di Milano)
19:45 - Social Dinner - Resturant, via Necchi 9, Milan.

3rd day: Wednesday - 31st may
9:00-11:00 – Session Chair: Fabio Giovanni Lamantia
9:00-9:30 - Andrea Caravaggio: Endogenous preferences in a dynamic Cournot duopoly
9:30-10:00 - Pasquale Commendatore: The dynamics of firms’ location and households’ residential choices in a NEG model with environmental pollution and a Price index effect
10:00-10:30 - Mauro Sodini: The abatement game in a dynamic oligopoly: social welfare versus profits
10:30-11:00 - Fausto Cavalli: Dynamical analysis of an OLG model with epidemics
11:00-11:30 - Coffee-Break (Catering - room, Pio XI)
11:30-13:00 - Session Chair: Roberto Dieci
11:30-12:00 - Marco Pangallo: Synchronization of endogenous business cycles
12:00-12:30 - Fabio Giovanni Lamantia: Evolutionary oligopoly games with partial cooperation and partial hostility: the multi-population case
12:30-13:00 - Lorenzo Cerboni Baiardi: Evolutionary selection in cobweb markets with finitely many players
13:00-14:30 - Lunch (Catering - room, Pio XI) + Guided Tour (for Additional Guests) of 30 minutes to Ancient Books: Incunabula and Cinquecentine.
14.30:15:30 - Tatyana Perevalova (Invited Talk): Stochastic sensitivity function approach: theory and applications
15:30-17:00 - Session Chair: Marco Pangallo
15:30-16:00 - Roberto Dieci: Supply-side interactions and cobweb dynamics
16:00-16:30 - Fabio Tramontana: A discontinuous model of exchange rate dynamics with sentiment traders
16:30-17:00 – Fabio Dercole: A Financial Market of Heterogeneous Expectations, Mean-Semivariance Behavior and Adaptive Rational Equilibrium Dynamics
17:00-17:30 - Coffee-Break (Catering - room, Pio XI)
17:30-19:00 - Session Chair: Elisabetta Michetti
17:30-18:00 - Nicolás Blampied: Managing transition risk and inflation by an adaptive monetary policy
18:00-18:30 - Antonín Slavík: Limiting probabilities in multiple-player sequential games
18:30-19:00 - Daniele Ravasi: A dynamic growth model with education choices
19:00-19:30 - Closing Ceremony (Saber Elaydi)

The Keynote speakers are:
Saber Elaydi, Trinity University
Tatyana Perevalova, Ural Federal University
Peter Raith, University of Vienna

Scientific Direction:
DAVIDE RADI, Università Cattolica del Sacro Cuore, Italy
CAFFRERATA ALESSIA, Università degli Studi di Torino, Italy


Gian Italo Bischi University of Urbino Carlo Bo, Italy
Jim Cushing University of Arizona, USA
Laura Gardini University of Urbino Carlo Bo, Italy
Armengol Gasull Universitat Autònoma de Barcelona, Spain
Malgosia Guzowska University of Szczecin, Poland
Fabio Lamantia Università della Calabria, Italy
Adina Luminita Sasu West University of Timisoara, Romania
Henrique Oliveira University of Lisbon, Portugal
Anastasiia PANCHUK National Academy of Sciences of Ukraine, Kyiv (ISP)



Researchers, scholars, practitioners and students are invited to submit abstracts by 15th march 2023
All paper can be sent by email to

Submitted abstracts will be reviewed by an international panel. Decisions will be notified on rolling basis to the e-mail address provided by the authors


Abstract submission deadline 3-April-2023

Early registration deadline 10 April -2023

Late registration deadline 26- April-2023

The registration fee includes lunches, social dinner, coffee breaks and workshop materials.
Registration link (click here)

All questions regarding registration and payment can be addressed to

Fees are as follows:

420.00 Euro Early bird
490.00 Euro Regular Fee
380.00 Euro SIC members


The International Society of Difference Equations, ISDE. (
The Association for Mathematics Applied to Social and Economic Sciences, AMASES. (

Info e Contatti


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Mon-Fri 09.00 – 1.30 AM / 2.00 – 5.00 PM

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