11 citations · 13 across the 4 of their papers we have counts for
5 papers
Cournot Maps for Intercepting Evader Evolutions by a Pursuer
Jean-Pierre Aubin, Chen Luxi
Instead of studying evolutions governed by an evolutionary system starting at a given initial state on a prescribed future time interval, finite or infinite, we tackle the problem…
Transports Regulators of Networks with Junctions Detected by Durations Functions
Jean-Pierre Aubin
This study advocates a mathematical framework of ''transport relations'' on a network. They single out a subset of ''traffic states'' described by time, duration, position and othe…
Retro-Prospective Differential Inclusions and their Control by the Differential Connection Tensors of their Evolutions: The trendometer
Jean-Pierre Aubin
This study is motivated by two different, yet, connected, motivations. The first one follows the observation that the classical definition of derivatives involves prospective (or f…
Constructing and exploring wells of energy landscapes
Jean-Pierre Aubin, Annick Lesne
Landscape paradigm is ubiquitous in physics and other natural sciences, but it has to be supplemented with both quantitative and qualitatively meaningful tools for analyzing the to…
The method of characteristics revisited. A viability approach
Jean-Pierre Aubin
This mini-course provides a presentation of the method of characteristics to initial/boundary-value problems for systems of first-order partial differential equations and to Hamilt…