Perturbations of stable and chaotic difference equations
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Publication:1135559
DOI10.1016/0022-247X(79)90259-2zbMath0425.58015MaRDI QIDQ1135559
Publication date: 1979
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
snap-back repellerchaoscompetition modelsLeslie modelHenon mappingtransversal homoclinic orbitchaotic behavior in discrete dynamical systemsstability of chaosstable fixed or periodic point
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Related Items (21)
Transition to topological chaos for circle maps ⋮ Stability and attractivity in discrete dynamical systems ⋮ The topological conjugacy problem for generalized Hénon mappings: some negative results ⋮ Some dynamics of second order unimodal difference schemes ⋮ Chaotic behavior in the Henon mapping ⋮ HETEROCLINICAL REPELLERS IMPLY CHAOS ⋮ Period doubling and quadrupling for some second-order difference schemes ⋮ Li–Yorke Chaos in Perturbed Rational Difference Equations ⋮ Chaos resulting from nonlinear relations between different variables ⋮ Stability of symbolic embeddings for difference equations and their multidimensional perturbations ⋮ From chaos to global convergence ⋮ Structure stability of maps with snap-back repellers in Banach spaces ⋮ Chaotic dynamics in a two-dimensional overlapping generations model. ⋮ Transversal homoclinic orbits in a transiently chaotic neural network ⋮ Stochastic properties in Devaney's chaos ⋮ Linear Generalized Synchronization of Spatial Chaotic Systems ⋮ A simple proof for persistence of snap-back repellers ⋮ ON THE MATHEMATICAL CLARIFICATION OF THE SNAP-BACK-REPELLER IN HIGH-DIMENSIONAL SYSTEMS AND CHAOS IN A DISCRETE NEURAL NETWORK MODEL ⋮ Homoclinic shadowing ⋮ Chaotic dynamics in quasi-static systems: Theory and applications ⋮ Chaos, complex transients and noise: illustration with a Kaldor model.
Cites Work
- A two-dimensional mapping with a strange attractor
- Discrete time models for two-species competition
- The dynamics of density dependent population models
- Snap-back repellers imply chaos in \(\mathbb{R}^n\)
- On the nature of turbulence
- Period Three Implies Chaos
- Differentiable dynamical systems
- Invariant manifolds
- Unnamed Item
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