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Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 346, pp. 832 - 841
In this paper, a class of hybrid stochastic functional differential equations is investigated. Under some suitable assumptions, the pth moment stability,... 
34K40 | 37B25 | Stochastic functional differential equation | Stability | 93E15 | Markovian switching | DEPENDENT ROBUST STABILITY | CRITERIA | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | NEURAL-NETWORKS | SYSTEMS | DELAY
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 02/2016, Volume 289, Issue 2-3, pp. 213 - 231
This paper deals with impulsive dissipative semidynamical systems. We present sufficient conditions to obtain dissipativity for autonomous and non‐autonomous... 
37B25 | impulses | Lyapunov functions | 54H20 | 37B55 | dissipative systems | Impulses | Dissipative systems | MATHEMATICS | SEMIDYNAMICAL SYSTEMS
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 8/2018, Volume 172, Issue 4, pp. 1127 - 1146
Network formation models explain the dynamics of the structure of connections using mechanisms that operate under different principles for establishing and... 
94C12 | Stability | Physical Chemistry | 05C82 | Theoretical, Mathematical and Computational Physics | Network formation models | 37B25 | Quantum Physics | Anomalous event detection | Physics | Statistical Physics and Dynamical Systems | DISTRIBUTIONS | PHYSICS, MATHEMATICAL | Social networks | Analysis | Models
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2019, Volume 27, Issue 2, pp. 585 - 604
The paper deals with semilinear differential inclusions with state-dependent impulses in Banach spaces. Defining a suitable Banach space in which all the... 
Differential inclusions | Lyapunov pairs | Analysis | Contingent derivative | Secondary: 34A37, 37B25 | Mathematics | Optimization | State-dependent impulses | Primary: 34A60 | Computer science
Journal Article
Annals of Applied Probability, ISSN 1050-5164, 06/2018, Volume 28, Issue 3, pp. 1821 - 1855
We prove a sample path Large Deviation Principle (LDP) for a class of jump processes whose rates are not uniformly Lipschitz continuous in phase space.... 
Jump Markov processes | Large deviation principle | Lyapunov functions | Toric jets | Wentzell–Freidlin theory | Chemical reaction networks | DISTRIBUTIONS | Wentzell-Freidlin theory | REACTION SYSTEMS | chemical reaction networks | toric jets | STATISTICS & PROBABILITY | jump Markov processes | GLOBAL ATTRACTOR CONJECTURE
Journal Article
Bulletin of Mathematical Biology, ISSN 0092-8240, 1/2018, Volume 80, Issue 1, pp. 32 - 45
The present paper analyzes an ODE model of a certain class of (open) enzymatic reactions. This type of model is used, for instance, to describe the... 
34D23 | Mathematical and Computational Biology | Global stability | Dissipative | 37B25 | Mathematics | Cell Biology | 37C70 | ODE | Lyapunov functions | MicroRNA | Life Sciences, general | 37C75 | 37C10 | Controllability | Control systems | Messenger RNA | Analysis
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 07/2016, Volume 289, Issue 10, pp. 1272 - 1287
The present paper is dedicated to the study of various aspects of attraction and stability for semigroup actions on topological spaces. The main purpose is to... 
34C27 | attractor | 37C75 | Lyapunov stability | 37B25 | semigroup action | control system | 34D05 | FIBER-BUNDLES | MATHEMATICS | SPACES | Control systems
Journal Article
Neural Computing and Applications, ISSN 0941-0643, 9/2019, Volume 31, Issue 9, pp. 5527 - 5545
Journal Article
Journal of Dynamics and Differential Equations, ISSN 1040-7294, 12/2015, Volume 27, Issue 3, pp. 721 - 742
Journal Article
Neural Processing Letters, ISSN 1370-4621, 6/2019, Volume 49, Issue 3, pp. 1459 - 1483
Journal Article
Journal of Dynamics and Differential Equations, ISSN 1040-7294, 6/2019, Volume 31, Issue 2, pp. 903 - 932
Scalar difference equations $$x_{k+1}=f(x_k,x_{k-d})$$ x k + 1 = f ( x k , x k - d ) with delay $$d\in {\mathbb {N}}$$ d ∈ N are well-motivated from... 
37B25 | Mathematics | Global attractor | 37C70 | 39A30 | Morse decomposition | 39A11 | Ordinary Differential Equations | 92A15 | 34K28 | Discrete Lyapunov functional | Applications of Mathematics | Delay-difference equation | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 7/2018, Volume 172, Issue 2, pp. 321 - 352
In an earlier paper, we proved the validity of large deviations theory for the particle approximation of quite general chemical reaction networks. In this... 
Physical Chemistry | Theoretical, Mathematical and Computational Physics | Tropical geometry | Quantum Physics | Molecular networks | Large deviations | Dynamical systems | Physics | Statistical Physics and Dynamical Systems | SET | KINETICS | ATTRACTOR | PHYSICS, MATHEMATICAL
Journal Article
Chinese Annals of Mathematics, Series B, ISSN 0252-9599, 7/2019, Volume 40, Issue 4, pp. 541 - 554
In this paper the forward asymptotical behavior of non-autonomous dynamical systems and their attractors are investigated. Under general conditions, the... 
Approximate forward attractors | 37C70 | 37C60 | Uniform attractors | Forward attractors | Mathematics, general | Non-autonomous dynamical systems | 37B25 | Mathematics | Applications of Mathematics | Pullback attractors | MATHEMATICS | PULLBACK | BEHAVIOR | FORWARDS
Journal Article
Nonlinearity, ISSN 0951-7715, 11/2016, Volume 29, Issue 12, pp. 3934 - 3960
We provide an example for stabilization by noise. Due to the presence of higher order differential operators our approach does not rely on monotonicity... 
stationary solutions | 60H10 | bifurcation | random dynamical system | unbounded domains | 37H20, 37L30 | weighted spaces Mathematics Subject Classification numbers: 60H15 | random attractor | 37B25 | additive noise | 37G35 | EXISTENCE | weighted spaces | MATHEMATICS, APPLIED | EQUATIONS | SYSTEMS | PHYSICS, MATHEMATICAL
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 08/2019, Volume 22, Issue 4, pp. 1113 - 1132
Journal Article
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