An Example of Chaos for a Cubic Nonlinear Schrödinger Equation with Periodic Inhomogeneous Nonlinearity

DOI10.1515/ans-2012-0304zbMath1266.34073OpenAlexW580543456MaRDI QIDQ4898265

Chiara Zanini, Fabio Zanolin

Publication date: 30 December 2012

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0304

zbMATH Keywords

periodic solutionssymbolic dynamicstopological horseshoesnonlinear Shrödinger equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (1)

Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential

Cites Work

• Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps
• Complex dynamics in a nerve fiber model with periodic coefficients
• Global bifurcations and chaos. Analytical methods
• A topological approach to superlinear indefinite boundary value problems
• Superlinear indefinite equations on the real line and chaotic dynamics
• Topological horseshoes
• Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
• Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotics

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