Search Results - "Pötzsche, C."

Modeling the spread of Phytophthora by Henkel, A., Müller, J., Pötzsche, C.

“…We consider a model for the morphology and growth of the fungus-like plant pathogen Phytophthora using the example of Phytophthora plurivora . Here, we are…”
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Nonautonomous bifurcation scenarios in SIR models by Kloeden, P. E., Pötzsche, C.

“…The standard obstacles in developing a bifurcation theory for nonautonomous differential equations are the lack of steady‐state equilibria and the…”
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Exponential dichotomies for dynamic equations on measure chains by Pötzsche, Christian

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Non-autonomous difference equations and discrete dynamical systems by Kloeden, Peter E., Pötzsche, C.

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Invariant manifolds with asymptotic phase for nonautonomous difference equations by Aulbach, B., Pötzsche, C.

“…For autonomous difference equations with an invariant manifold, conditions are known which guarantee that a solution approaching this manifold eventually…”
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Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients by Pötzsche, Christian

“…Unifying ordinary differential and difference equations, we consider linear dynamic equations on measure chains or time scales, which possess an exponential…”
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Chain rule and invariance principle on measure chains by Potzsche, C

“…In this note, we prove a chain rule for mappings on abstract measure chains and apply our result to deduce an invariance principle for non-autonomous dynamic…”
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Computation of integral manifolds for Carathéodory differential equations by PÖTZSCHE, Christian, RASMUSSEN, Martin

“…We derive two numerical approximation schemes for local invariant manifolds of nonautonomous ordinary differential equations (ODEs) that can be measurable in…”
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Taylor approximation of invariant fiber bundles for nonautonomous difference equations by Pötzsche, Christian, Rasmussen, Martin

“…Invariant fiber bundles generalize invariant manifolds to nonautonomous difference equations. In this paper we develop a method to calculate their Taylor…”
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Slow and Fast Variables in Non-autonomous Difference Equations by Pötzsche, Christian

“…In this paper we present an existence and smoothness result for center-like invariant manifolds of non-autonomous difference equations with slow and fast…”
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Pseudo-stable and Pseudo-unstable Fiber Bundles for Dynamic Equations on Measure Chains by Pötzsche, Christian

“…Invariant fiber bundles are the generalization of invariant manifolds from classical discrete or continuous dynamical systems to non-autonomous dynamic…”
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Reducibility of linear dynamic equations on measure chains by Aulbach, Bernd, Pötzsche, Christian

“…The concepts of reducibility and kinematic similarity are of major significance in the theory of stability of linear differential and difference equations. In…”
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