Lotka-Volterra systems
Qualitative stability patterns for Lotka-Volterra systems on rectangles
... the Lotka-Volterra differential equation within rect- angles that are transverse with respect to the ...nonlinear Lotka-Volterra n-dimensional equation, in rectangles with any kind of ...
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Global behaviour of n-dimensional Lotka-Volterra systems
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A criterion of global convergence to equilibrium for differential systems. Application to Lotka-Volterra systems
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Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations
... (all species asymptotically survive) such that ρ converges to ρ ∞ , because we will see how it determines on which phenotypes the densities concentrate. When it is possible, we will investigate the speed at which ...
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Lotka-Volterra with randomly fluctuating environments: a full description
... 5 Switching between two persistent Lotka-Volterra systems Let us assume that ε 0 and ε 1 are of Type 3. In this case, one can easily get that extinction of species y is not possible if u is to close ...
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Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems
... then there exists a unique ¯ n = (¯ n 1 , . . . , ¯ n N ) ∈ R N + with ¯ n 6= 0, s.t. for any solution n(t) = (n 1 , . . . , n N ) to (1.1) with initial data n i (0) > 0 for any i, n(t) −→ ¯n, as t → +∞. This result ...
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Simulation de la dynamique d'une poutre de Reissner par les séries de Volterra
... Cette seconde relation doit être vérifiée en perma- nence, elle ne peut être approximée. Il est donc impos- sible d’appliquer les séries de Volterra (tronquées) a ce système. C’est la raison pour laquelle la ...
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Controllability of SISO Volterra Models via Diffusive Representation
... convolution Volterra systems, namely the class of “diffusive” systems, for which there exists an input-output state realization whose state evolves in the so-called diffusive representation ...such ...
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The Laplace transform of the integrated Volterra Wishart process
... The Laplace transform is exponentially quadratic in the forward process (g t ) t≤T , and cannot in general be recovered from that of finite dimensional affine Volterra processes introduced in Abi Jaber et al. ( ...
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Time reversal of Volterra processes driven stochastic differential equation
... STOCHASTIC DIFFERENTIAL EQUATIONS L. DECREUSEFOND Abstract. We consider stochastic differential equations driven by some Volterra processes. Under time reversal, these equations are transformed into past de- ...
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On linear MMSE based turbo-equalization of nonlinear Volterra channels
... NONLINEAR VOLTERRA CHANNEL MODEL The satellite transponder’s HPA is usually represented by an IMUX (Input MUltipleXing filter) followed by a memoryless nonlinear amplifier and an OMUX (Output MUltipleXing ...
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Study of a Fractional Problem of Volterra Type
... Since only positive solutions are meaningful in many applications, in Chapter 4 we discuss the existence and multiplicity of positive solutions of a nonlinear fractional differential equ[r] ...
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Third order widely non-linear Volterra MVDR beamforming
... For a QPSK interference, the MVDR 1 beamformer [6] does not improve the Capon beamformer because term (1) of eq.(3) does not convey any information for SO circular inter- ference. In contrast, for the partially [resp., ...
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Stochastic Integration with respect to Volterra processes
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Nonlinear system modeling and identification using Volterra-PARAFAC models
... Discrete-time Volterra models are widely used in various application ...Considering Volterra kernels of order higher than two as symmetric tensors, we use a parallel factor (PARAFAC) decomposition of the ...
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On linear MMSE based turbo-equalization of nonlinear Volterra channels
... Nonlinear satellite distortions can be treated either at the transmitter with the so-called pre-compensation/pre-distortion techniques or at the receiver using equalization. In this paper, we are mainly inter- ested in ...
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Application des séries de Volterra non entière à l'identification de systèmes thermiques en conditions extrêmes
... La diffusion thermique dans un échantillon de fer ARMCO est identifié, dans ce papier, pour de larges variations de température en utilisant un modèle basé sur les séries de Volterra non [r] ...
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Integral operator Riccati equations arising in stochastic Volterra control problems
... [8] F. Flandoli. Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary. Applied Mathematics and Optimization, 14(1):107– 129, 1986. [9] G. Gripenberg, ...
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Modèles de volterra à complexité réduite : estimation paramétrique et application à l'égalisation des canaux de communication
... de Volterra au sens de l’er- reur quadratique moyenne minimale requiert le calcul de l’inverse de la matrice des moments de l’entrée et l’estimation de ces moments jusqu’à l’ordre six pour le cas du modèle cubique ...
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SAIC pour une interférence circulaire au second-ordre par filtrage de Volterra complexe d'ordre 3
... de Volterra complexe d’ordre 3 Mustapha S ADOK 1,2 , Jean Pierre D ELMAS 1 , Pascal C HEVALIER 3 1 Telecom SudParis, UMR CNRS 5157, Universit´e Paris Saclay Evry, France 2 Institut National des ...
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