Search Results - "Garay, Barnabas M."
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Evolutionary Substitution and Replacement in N-Species Lotka–Volterra Systems
Published in Dynamic games and applications (01-09-2020)“…The successful invasion of a multi-species resident system by mutants has received a great deal of attention in theoretical ecology but less is known about…”
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To save or not to save your family member's life? Evolutionary stability of self-sacrificing life history strategy in monogamous sexual populations
Published in BMC evolutionary biology (19-07-2019)“…For the understanding of human nature, the evolutionary roots of human moral behaviour are a key precondition. Our question is as follows: Can the altruistic…”
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Local interaction in tax evasion
Published in Economics letters (01-06-2012)“…When individuals underreport their incomes, they take into account their private gains and moral losses, the latter depending on the acquaintances’ previous…”
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Inflated deterministic chaos and Smale's horseshoe
Published in Journal of difference equations and applications (01-03-2012)“…We consider a smooth diffeomorphism possessing a hyperbolic fixed point with a transversal homoclinic orbit. The aim of this paper is to investigate…”
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Heteroclinic cycles in Chua-Yang ring networks
Published in 2021 17th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA) (29-09-2021)“…Heteroclinic equilibrium connections in Chua-Yang ring networks with two-parameter nearest-neighbor coupling are investigated. The dynamics is governed by the…”
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Conference Proceeding -
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A Verified Optimization Technique to Locate Chaotic Regions of Hénon Systems
Published in Journal of global optimization (01-05-2006)“…We present a new verified optimization method to find regions for Henon systems where the conditions of chaotic behaviour hold. The present paper provides a…”
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Bifurcation analysis of an oscillatory CNN model with two cells
Published in Journal of applied mathematics & computing (01-05-2008)“…The aim of this paper is to carry out the full bifurcation analysis of the two-parameter two-dimensional oscillatory cellular neural network (CNN) model…”
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Moving average network examples for asymptotically stable periodic orbits of monotone maps
Published in Electronic journal of qualitative theory of differential equations (01-01-2018)“…For a certain type of discrete-time nonlinear consensus dynamics, asymptotically stable periodic orbits are constructed. Based on a simple ordinal pattern…”
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Estimates of variable stepsize Runge–Kutta methods for sectorial evolution equations with nonsmooth data
Published in Applied numerical mathematics (01-06-2002)“…We consider variable stepsize Runge–Kutta methods for semilinear evolution equations with a sectorial operator in the linear part. For nonsmooth initial data…”
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Floquet multipliers of a metastable rotating wave in a Chua–Yang ring network
Published in Journal of mathematical analysis and applications (01-02-2016)“…A ring of N=2M identical neuron cells with piecewise linear and saturated bidirectional coupling nonlinearities is considered. The rotating wave under…”
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Genetical reachability: When does a sexual population realize all phenotypic states?
Published in Journal of mathematical biology (01-08-1998)“…Consider a panmictic, sexual (diploid or polyploid) population where the genotype of an individual is determined by n alleles at a single autosomal locus…”
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Numerical flow‐box theorems under structural assumptions
Published in IMA journal of numerical analysis (01-07-2001)“…The numerical flow‐box theorem says that locally, in the vicinity of nonequilibria, discretized solutions of an autonomous ordinary differential equation are…”
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Interpolation in dynamic equations on time scales
Published in Journal of difference equations and applications (01-08-2007)“…It is known that small time-gaps of dynamic equations can be filled by families of trajectory segments of ordinary differential equations and thus certain…”
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Interpolation in dynamic equations on time scales dagger
Published in Journal of difference equations and applications (01-08-2007)“…It is known that small time-gaps of dynamic equations can be filled by families of trajectory segments of ordinary differential equations and thus certain…”
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Multivalued perturbations of a saddle dynamics
Published in Differential equations and dynamical systems (01-04-2010)“…We consider multivalued perturbations both of the discrete and of the continuous time hyperbolic dynamical system of the type , where G is a parameterized…”
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Embeddability of time scale dynamics in ode dynamics
Published in Nonlinear analysis (01-08-2001)Get full text
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The operator of inversion as an everywhere continuous nowhere differentiable function
Published in Resultate der Mathematik (01-11-2000)Get full text
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On structural stability of ordinary differential equations with respect to discretization methods
Published in Numerische Mathematik (01-02-1996)Get full text
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Parallelizability, Mild Mixing and Topological Conjugacy for Strongly Continuous Realparameter Groups of Unitary Operators
Published in Journal of the London Mathematical Society (01-06-1993)“…It is pointed out that the finite-dimensional critical case results [18, 20, 24] on topological conjugacies of linear dynamical systems do not remain valid in…”
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The discretized flow on domains of attraction: a structural stability result
Published in IMA journal of numerical analysis (01-01-1998)“…It is well known that, for stepsize sufficiently small, compact attractors of ordinary differential equations persist under discretization. The present paper…”
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