Search Results - "Slavova, Angela"
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Some Non-Linear Evolution Equations and Their Explicit Smooth Solutions with Exponential Growth Written into Integral Form
Published in Mathematics (Basel) (01-04-2024)“…In this paper, exact solutions of semilinear equations having exponential growth in the space variable x are found. Semilinear Schrödinger equation with…”
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Journal Article -
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Boundary value problems for local and nonlocal Liouville type equations with several exponential type nonlinearities. Radial and nonradial solutions
Published in Advances in difference equations (19-08-2021)“…This paper deals with boundary value problems for local and nonlocal Laplace operator in 2D with exponential nonlinearities, the so-called Liouville type…”
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Memristor Cellular Nonlinear Networks
Published in Mathematics (Basel) (01-04-2023)“…This paper presents a review of the theory and applications of memristor cellular nonlinear networks. By mapping the physical processes to the memristive…”
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Short Proofs of Explicit Formulas to Boundary Value Problems for Polyharmonic Equations Satisfying Lopatinskii Conditions
Published in Mathematics (Basel) (01-12-2022)“…This paper deals with Lopatinskii type boundary value problem (bvp) for the (poly) harmonic differential operators. In the case of Robin bvp for the Laplace…”
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Edge of Chaos in Memristor Cellular Nonlinear Networks
Published in Mathematics (Basel) (01-04-2022)“…Information processing in the brain takes place in a dense network of neurons connected through synapses. The collaborative work between these two components…”
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Explicit solutions of some equations and systems of mathematical physics
Published in Advances in difference equations (21-10-2020)“…This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the…”
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7
Edge of Chaos in Integro-Differential Model of Nerve Conduction
Published in Mathematics (Basel) (01-07-2024)“…In this paper, we consider an integro-differential model of nerve conduction which presents the propagation of impulses in the nerve’s membranes. First, we…”
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Edge of chaos in reaction diffusion CNN model
Published in Open mathematics (Warsaw, Poland) (02-02-2017)“…In this paper, we study the dynamics of a reaction-diffusion Cellular Nonlinear Network (RD-CNN) nodel in which the reaction term is represented by Brusselator…”
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Mathematics in Industry
Published 2014“…In this book, a wide range of problems concerning recent achievements in the field of industrial and applied mathematics are presented. It provides new ideas…”
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Edge of Chaos in Memristor CNN with Hysteresis and Applications in Pattern Formation
Published in 2021 IEEE International Symposium on Circuits and Systems (ISCAS) (01-05-2021)“…In this paper we shall study a class of memristor CNN with hysteresis. We shall investigate the dynamics of this model via local activity theory and we shall…”
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Conference Proceeding -
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Edge of Chaos in Nanoscale Memristor CNN
Published in 2019 IEEE International Symposium on Circuits and Systems (ISCAS) (01-05-2019)“…In this paper analytical results are derived for nanoscale memristor CNN (NM-CNN) in which neurons operate in a regime called edge of chaos. The system…”
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Conference Proceeding -
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Memristive Cellular Nonlinear Network Model with Hysteresis Switch in the Feedback System
Published in 2024 13th International Conference on Modern Circuits and Systems Technologies (MOCAST) (26-06-2024)“…In this paper we study a new memristive cellular nonlinear network model (MHCNN) with a hysteresis switch in the feedback system. The mathematical model for…”
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Conference Proceeding -
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Dynamics of a New Hysteresis Memristor CNN
Published in 2020 European Conference on Circuit Theory and Design (ECCTD) (01-09-2020)“…In this paper we study a new class of hysteresis memristor CNN (HM-CNN). The model under investigations contains a simpler state equation with hysteresis…”
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Conference Proceeding -
15
Memristor CNN Model for Image Denoising
Published in 2019 26th IEEE International Conference on Electronics, Circuits and Systems (ICECS) (01-11-2019)“…In this paper we develop an algorithm for noise removal which extracts the target information (image) more precisely. The model is based on the convection…”
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Conference Proceeding -
16
Cellular Nonlinear Network Circuit Model with Application to Seizures Prediction
Published in 2023 12th International Conference on Modern Circuits and Systems Technologies (MOCAST) (28-06-2023)“…FitzHugh Nagumo circuit models activation and deactivation dynamics of a spiking neuron. The proposed model in this paper is presented by a reaction-diffusion…”
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Conference Proceeding -
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Complex behavior of polynomial FitzHugh–Nagumo cellular neural network model
Published in Nonlinear analysis: real world applications (01-09-2007)“…In this paper, a cellular neural network (CNN) model of FitzHugh–Nagumo system with two diffusion coefficients is introduced. The dynamical behavior of the…”
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Journal Article -
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Bioinspired Cellular Nonlinear Networks working on the edge of chaos
Published in 2022 11th International Conference on Modern Circuits and Systems Technologies (MOCAST) (08-06-2022)“…The most widely-used model of the excitation and propagation of impulse (action potential) in nerve membranes is the Hodgkin-Huxley system. In this paper we…”
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Conference Proceeding -
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Pattern Formation in CNN Working on the Edge of Chaos
Published in 2021 17th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA) (29-09-2021)“…In this paper we present a special class of Cellular Nonlinear/Nanoscale Networks (CNN) operating on the edge of chaos. We study the dynamics of the model for…”
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Conference Proceeding -
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Universal Cellular Computing on the Edge of Chaos
Published in 2021 10th International Conference on Modern Circuits and Systems Technologies (MOCAST) (05-07-2021)“…In this work we present a special class of memristor Cellular Nonlinear/Nanoscale Networks (MCNN) operating on the edge of chaos. We study the dynamics of…”
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Conference Proceeding