Hyperbolicity, stability, and the criterion of homoclinic points.
Hayashi, Shuhei (1998)
Documenta Mathematica
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Displaying similar documents to “A probabilistic and geometric perspective.”
Hyperbolicity, stability, and the criterion of homoclinic points.
Growth conditions for the stability of a class of time-varying perturbed singular systems
Faten Ezzine, Mohamed Ali Hammami (2022)
Kybernetika
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In this paper, we investigate the problem of stability of linear time-varying singular systems, which are transferable into a standard canonical form. Sufficient conditions on exponential stability and practical exponential stability of solutions of linear perturbed singular systems are obtained based on generalized Gronwall inequalities and Lyapunov techniques. Moreover, we study the problem of stability and stabilization for some classes of singular systems. Finally, we present a numerical...
A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation.
Glushkova, D.I., Romanov, V.G. (2003)
Sibirskij Matematicheskij Zhurnal
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Stability of Orbit spaces of Endomorphisms.
Pei-Dong Liu (1997)
Manuscripta mathematica
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Stability modulo singular sets
J. Iglesias, A. Portela, A. Rovella (2009)
Fundamenta Mathematicae
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A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.
A global perspective for non-conservative dynamics
J. Palis (2005)
Annales de l'I.H.P. Analyse non linéaire
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Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis.
Bradul, Nataliya, Shaikhet, Leonid (2007)
Discrete Dynamics in Nature and Society
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Global phase- portrait of a plane autonomous system
Czeslaw Olech (1964)
Annales de l'institut Fourier
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A classification of dynamical systems
Janina Kłapyta (1991)
Annales Polonici Mathematici
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On some stability problems
Vrkoč, I.
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Exponential limit shadowing
S. A. Ahmadi, M. R. Molaei (2013)
Annales Polonici Mathematici
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We introduce the notion of exponential limit shadowing and show that it is a persistent property near a hyperbolic set of a dynamical system. We show that Ω-stability implies the exponential limit shadowing property.