Superlinear indefinite equations on the real line and chaotic dynamics
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Publication:1614731
DOI10.1006/jdeq.2001.4080zbMath1011.34032OpenAlexW2063915510MaRDI QIDQ1614731
Anna Capietto, Duccio Papini, Walter Dambrosio
Publication date: 8 September 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2001.4080
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
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Cites Work
- A geometric method for detecting chaotic dynamics
- Chaos in the Duffing equation
- Rapid oscillation, non-extendability and the existence of periodic solutions to second order nonlinear ordinary differential equations
- Superlinear indefinite elliptic problems and Pohozyaev type identities
- Looking for the Bernoulli shift
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems
- Inifinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign
- A topological approach to superlinear indefinite boundary value problems
- Elliptic problems with nonlinearities indefinite in sign
- Boundary blow-up for differential equations with indefinite weight
- On the continuation of solutions of a certain non-linear differential equation
- Stable and Random Motions in Dynamical Systems
- Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
- On Continuability of Solutions of Second Order Differential Equations
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