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Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder
We consider planar polynomial differential systems of degree 1 and 2 on the cylinder and we study their limit cycles. We prove that such linear...
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Vanishing Artificial Diffusion Limit
Our next goal is to perform the vanishing diffusion limit ε → 0 in the sequence of approximate solutions constructed in Chap. 6...
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Nine Limit Cycles Around a Weak Focus in a Class of Three-Dimensional Cubic Kukles Systems
In this paper, we study the bifurcation of limit cycles, centers, and isochronous centers for a class of three-dimensional Kukles systems of degree...
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A Limit Theorem for Regime-Switching Diffusion Processes
An approximation of a regime-switching diffusion process by a family of regime-switching jump Markov processes is considered. The corresponding limit...
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Vanishing Artificial Pressure Limit
The ultimate step of the global existence proof consists in performing the limit δ → 0 in the following system of integral identities.
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Thermodynamic Limit in Vector Lattice Models
Classes of Gibbs random fields \(\textbf{u} ({x})\) ,...
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Nonisolated Limit Sets for Some Hydrodynamic Systems with Limited Excitation
We consider a “tank with liquid–electric motor of limited power” dynamical system. In some cases, the mathematical model of this system can be...
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Right-Sided Invertibility of Binomial Functional Operators and Graded Dichotomy
In this paper, we consider the right-sided invertibility problem for binomial functional operators. It is known that such operators are invertible...
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Limit Theorems for Critical Galton-Watson Processes with Immigration Stopped at Zero
In this paper, we consider a critical Galton–Watson branching process with immigration stopped at zero W . Some precise estimation on the probability...
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Regularity results for solutions to elliptic obstacle problems in limit cases
We prove the Lewy–Stampacchia’s inequality for elliptic variational inequalities with obstacle involving Leray–Lions type operator whose simpler...
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The Bloch–Torrey Limit of a Kinetic Transport System
This work is devoted to highlighting the diffusion of some models of Kinetic–Bloch system by an asymptotic analysis. The limit of the kinetic...
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Risk-Sensitivity Vanishing Limit for Controlled Markov Processes
In this paper, we prove that the optimal risk-sensitive reward for Markov decision processes with compact state space and action space converges to...
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Travelling waves for a fast reaction limit of a discrete coagulation–fragmentation model with diffusion and proliferation
We study traveling wave solutions for a reaction–diffusion model, introduced in the article Calvez et al. (Regime switching on the propagation speed...
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Limit Cycles Bifurcating of Discontinuous and Continuous Piecewise Differential Systems of Isochronous Cubic Centers with Three Zones
We study the maximum number of limit cycles that bifurcate from the periodic annulus of the isochronous cubic centre of discontinuous and continuous...
