Aims:

Non-autonomous dynamical systems are dynamical systems evolving under the influence of noise, input stimuli, fluctuating environments, control signals, parameter drifts, and so on, or dynamical systems driven by uncertain external forces. It is known that non-autonomous dynamical systems show bifurcation and statistics that are not seen in closed dynamical systems. On the other hand, the basic properties of non-autonomous dynamical systems, such as stability, bifurcation, and statistical properties, have not been well studied in mathematics and physics. Recently, cooperative research on nonlinear dynamics in fluctuating environments in the same spatiotemporal scales as the system, has been developed in the fields in non-equilibrium statistical mechanics, nonlinear phenomenology, dynamical system theory, ergodic theory, and stochastic process theory. In this workshop, we consider various problems of non-autonomous dynamical systems, such as large-degree-of-freedom dynamical systems, stochastic dynamics, microsystems, and control systems.

Dates:

26-30 September, 2022

Venue:

Lecture room 110, Bldg. 3, Faculty of Sciences, Kyoto University　(Hybrid meeting with Zoom)

Invited talks:

Takehiko Morita (Osaka University), Stochastic analogues of ergodic theory of differentiable dynamical systems and related topics

Warwick Tucker (Monash University), Lower bounds on the Hausdorff dimensions of Julia sets

Programme:

Talks Posters Abstract

Organizers:

Yuzuru Sato (Hokkaido University), Hiroki Sumi (Kyoto University), Kouji Yano (Kyoto University)

Registration:

Please register here for online participation.

Japanese page

Supported byIntroduction to computational ergodic theory

JSPS Grant in aid for scientific research (B) "Theory and applications of stochastic chaos in SDEs" (PI: Yuzuru Sato)

Hokkaido Summer Institute, Hokkaido University "Introduction to computational ergodic theory" (PI: Yuzuru Sato)

JSPS Grant in aid for scientific research (B) "Random complex dynamical systems and fractalrs" (PI: Hiroki Sumi)

JSPS Grant in aid for challenging exploratory research "Stochastic prosess theoretic approaches to random dynamical systems" (PI: Kouji Yano )