Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential
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Publication:1723093
DOI10.1155/2018/2101482zbMath1407.35190OpenAlexW2902982411MaRDI QIDQ1723093
Publication date: 19 February 2019
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/2101482
Cites Work
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- Monotonicity of the period of a nonlinear oscillator
- Multiple homoclinic solutions for a one-dimensional Schrödinger equation
- Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity
- Spiraling bifurcation diagrams in superlinear indefinite problems
- Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps
- A geometric method for detecting chaotic dynamics
- A model for seasonal phytoplankton blooms
- Seasonal dynamics and thresholds governing recurrent epidemics
- On the existence of dark solitons in a cubic-quintic nonlinear Schrödinger equation with a periodic potential
- Complex dynamics in a nerve fiber model with periodic coefficients
- A model of a myelinated nerve axon: threshold behaviour and propagation
- Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
- The monotonicity of the period function for planar Hamiltonian vector fields
- Dynamics in one dimension
- On a class of nonlinear Schrödinger equations
- Homoclinic orbits for eventually autonomous planar flows
- Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation
- Asymmetric bound states of differential equations in nonlinear optics
- On a nonlinear Schrödinger equation with periodic potential
- Subharmonic resonance and chaos in forced excitable systems
- Chaos in the dynamics generated by sequences of maps, with applications to chaotic advection in flows with aperiodic time dependence
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Guidance properties of nonlinear planar waveguides
- Oscillatory escape in a Duffing equation with a polynomial potential
- Breakdown of stability of motion in superquadratic potentials
- Semiclassical states of nonlinear Schrödinger equations
- Homoclinics and complex dynamics in slowly oscillating systems
- Superlinear indefinite equations on the real line and chaotic dynamics
- On concentration of positive bound states of nonlinear Schrödinger equations
- Multipeak solutions for a singularly perturbed Neumann problem
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Covering relations for multidimensional dynamical systems
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Isolating segments, fixed point index, and symbolic dynamics
- Multiple boundary peak solutions for some singularly perturbed Neumann problems
- High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems
- Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\)
- Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential
- Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach
- Existence of positive multi-peaked solutions to a nonlinear Schrödinger equation arising in nonlinear optics
- Nagumo's equation
- Invariance of the stability of Meissner's equation under a permutation of its intervals
- Wave propagation and blocking in inhomogeneous media
- Topological horseshoes
- A Chaos Lemma
- Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Hénon map
- Asymptotic and chaotic solutions of a singularly perturbed Nagumo-type equation
- On the Definition of Chaos
- Stable and Random Motions in Dynamical Systems
- Pattern Formation in a Model of an Injured Nerve Fiber
- On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
- Computer assisted proof of chaos in the Rössler equations and in the Hénon map
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Subshifts of Finite Type in Linked Twist Mappings
- Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential
- Wave-Block in Excitable Media Due to Regions of Depressed Excitability
- Propagation of Waves in an Excitable Medium with Discrete Release Sites
- Wave Propagation in Spatially Distributed Excitable Media
- An Example of Chaos for a Cubic Nonlinear Schrödinger Equation with Periodic Inhomogeneous Nonlinearity
- Varying bifurcation diagrams of positive solutions for a class of indefinite superlinear boundary value problems
- The Operator of Translation Along the Trajectories of Differential Equations
- High-frequency chaotic solutions for a slowly varying dynamical system
- CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS
- Foundations of chaotic mixing
- Existence of Dark Soliton Solutions of the Cubic Nonlinear Schrödinger Equation with Periodic Inhomogeneous Nonlinearity
- Unbounded Solutions of an Equation ÿ+g{y) =p(t) , with p(t) Periodic and Bounded, and g(y) /y → ∞ as y →±∞
- Multiplicity results for some nonlinear Schrödinger equations with potentials
- Bifurcation of asymmetric solutions in nonlinear optical media
- Chaotic solutions in slowly varying perturbations of Hamiltonian systems with applications to shallow water sloshing
- Seasonally forced disease dynamics explored as switching between attractors
