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The recollapse problem of closed FRW models in higher-order gravity theories
, 2005 We study the closed universe recollapse conjecture for positively curved FRW models with a perfect fluid matter source and a scalar field which arises in the conformal frame of the $R+\alpha R^{2}$ theory.
Faraoni V., John Miritzis, Rendall A.
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Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting
Abstract and Applied Analysis, 2014 A kind of delayed predator-prey system with harvesting is considered in this paper. The influence of harvesting and delay is investigated. Our results show that Hopf bifurcations occur as the delay τ passes through critical values.
Fengying Wei, Lanqi Wu, Yuzhi Fang
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Canard explosion in delayed equations with multiple timescales [PDF]
, 2014 We analyze canard explosions in delayed differential equations with a one-dimensional slow manifold. This study is applied to explore the dynamics of the van der Pol slow-fast system with delayed self-coupling.
Krupa, Maciej, Touboul, Jonathan D.
core
Regularity of higher codimension area minimizing integral currents
, 2014 This lecture notes are an expanded version of the course given at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013.
B White +24 more
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Electronic Journal of Differential Equations, 2007 We consider the diffusive single species growth in a plug flow reactor model with distributed delay. For small delay, existence and uniqueness of such wavefronts are proved when the convolution kernel assumes the strong generic delay kernel.
Zhihong Zhao, Yuantong Xu, Yongjin Li
doaj
Lifting quasianalytic mappings over invariants
, 2011 Let $\rho : G \to \operatorname{GL}(V)$ be a rational finite dimensional complex representation of a reductive linear algebraic group $G$, and let $\sigma_1,\sigma_n$ be a system of generators of the algebra of invariant polynomials $\mathbb{C}[V]^G$. We
Alekseevsky +22 more
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Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays
Journal of Control Science and Engineering, 2017 A PI hydroturbine governing system with saturation and double delays is generated in small perturbation. The nonlinear dynamic behavior of the system is investigated.
Hongwei Luo +4 more
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The center manifold theorem for center eigenvalues with non-zero real parts
, 2006 Latex, 17 pp., 17 refs. Submitted to "Portugaliae mathematica"
openaire +2 more sources
Journal of Dynamics and Differential Equations, 2009 We prove the existence of a smooth center manifold for several partial differential equations, including ill posed equations with unbounded nonlinearities. We also prove smooth dependence on parameters with respect to some perturbations, including unbounded ones. More concretely, we prove an abstract theorem and present applications to several concrete
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Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit [PDF]
, 2013 We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this paper we study the dynamics close to it.
Grébert, Benoît +2 more
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