Search Results - "Françoise, J P"

On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions by Sanchez-Palencia, E., Françoise, J.-P.

“…We propose a mathematical model for a class of predator–prey systems more complex than the usual one, involving a commensalism effect consisting in an…”
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Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism by Françoise, J.-P., Ji, Hongjun, Xiao, Dongmei, Yu, Jiang

“…In this article, we study a piecewise smooth dynamical system inspired by a previous reduced system modeling compartimentalized brain metabolism. The piecewise…”
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Constrained evolution processes and emergence of organized diversity by Sanchez-Palencia, E., Françoise, J.-P.

“…In a previous work on perturbation theory in population dynamics, we showed several plausible situations of preservation of the biodiversity. We give now an…”
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Structural Instability and Emergence of the Biodiversity by Sanchez-Palencia, E., Françoise, J.-P.

“…In the framework of population dynamics, we start from the logistic equation describing the evolution of one species with limited food supply. A split device…”
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Iterated Integrals, Gelfand—Leray Residue, and First Return Mapping by Françoise, J.-P., Pelletier, M.

“…Recently, one of the authors gave an algorithm for calculating the first nonzero Poincaré-Pontryagin function of a small polynomial perturbation of a…”
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The Successive Derivatives of the Period Function of a Plane Vector Field by Françoise, J.-P.

“…Previously, we provided an expression which generalized the classical Melnikov function to any order, for the first nonzero derivative of a return mapping. Our…”
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Nonlinear Evolution ODEs Featuring Many Periodic Solutions by Calogero, F., Françoise, J.-P.

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Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions by Calogero, F, Françoise, J-P, Sommacal, M

“…Various solutions are displayed and analyzed (both analytically and numerically) of a recently-introduced many-body problem in the plane which includes both…”
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Hysteresis dynamics, bursting oscillations and evolution to chaotic regimes by Françoise, J-P, Piquet, C

“…This article describes new aspects of hysteresis dynamics which have been uncovered through computer experiments. There are several motivations to be…”
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Periodic Motions Galore: How to Modify Nonlinear Evolution Equations so that They Feature a Lot of Periodic Solutions by Calogero, F, Françoise, J-P

“…A simple trick is illustrated, whereby nonlinear evolution equations can be modified so that they feature a lot - or, in some cases, only - periodic solutions…”
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Mathematical Modeling of Metabolism and Hemodynamics by Costalat, R., Francoise, J.-P., Menuel, C., Lahutte, M., Vallée, J.-N., de Marco, G., Chiras, J., Guillevin, R.

“…We provide a mathematical study of a model of energy metabolism and hemodynamics of glioma allowing a better understanding of metabolic modifications leading…”
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Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting by El Alaoui, L., Francoise, J.-P., Landau, M.

“…This article revisits a reduced model of cardiac electro-physiology which was proposed to understand the genesis of unidirectional block pathology and of…”
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Algebraic Linearization of Hyperbolic Ruijsenaars-Schneider Systems by Caseiro, R, Françoise, J P

“…In this article, we present an explicit linearization of dynamical systems of Ruijsenaars-Schneider (RS) type and of the perturbations introduced by F Calogero…”
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Hysteresis Dynamics, Bursting Oscillations and Evolution to Chaotic Regimes: Contribution from the 2003 Meeting of the French Society of Theoretical Biology, guest edited by Pierre Baconnier and Alfredo Hernandez by Françoise, J.-P., Piquet, C.

“…This article describes new aspects of hysteresis dynamics which have been uncovered through computer experiments. There are several motivations to be…”
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On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions by Sanchez-Palencia, E., Françoise, J.-P.

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Isochronous Systems and Perturbation Theory by Francoise, J-P

“…This article displays examples of planar isochronous systems and discuss the new techniques found by F. Calogero with these examples. A sufficient condition is…”
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Center conditions II: Parametric and model center problems by Briskin, M., Francoise, J. -P., Yomdin, Y.

“…We consider an Abel equation (*)y’=p(x)y2 +q(x)y3 withp(x), q(x) polynomials inx. A center condition for (*) (closely related to the classical center condition…”
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New solvable many-body problems in the plane by Calogero, F, françoise, J-P

“…We revisit an integrable (indeed, superintegrable and solvable) many-body model introduced almost two decades ago by Gibbons and Hermsen and by Wojciechowski,…”
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Center conditions III: Parametric and model center problems by Briskin, M., Francoise, J. -P., Yomdin, Y.

“…We consider an Abel equation (*)y’=p(x)y2 +q(x)y3 withp(x), q(x) polynomials inx. A center condition for (*) (closely related to the classical center condition…”
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Prédiction de l’évolutivité des gliomes de bas grade en SRM multinoyaux by Guillevin, R, Menuel, C, Capelle, L, Costalat, R, Françoise, J.-P, Demarco, G, Habas, C, Vallée, J.-N

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