Chaotic heteroclinic tangles with the degenerate Melnikov function
From MaRDI portal
Publication:6132401
DOI10.1007/s11071-022-07220-0zbMath1517.34059OpenAlexW4205740916MaRDI QIDQ6132401
Publication date: 16 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-022-07220-0
Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Unnamed Item
- Unnamed Item
- Analytical prediction of stick-slip chaos in a double self-excited Duffing-type oscillator
- Dynamics of homoclinic tangles in periodically perturbed second-order equations
- Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers
- The third order Melnikov function of a quadratic center under quadratic perturbations
- Periodic occurrence of chaotic behavior of homoclinic tangles
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- High order Melnikov functions and the problem of uniformity in global bifurcation
- Higher order bifurcations of limit cycles
- What are SRB measures, and which dynamical systems have them?
- Higher-order Melnikov functions for degenerate cubic Hamiltonians
- Heteroclinic tangles in time-periodic equations
- Exponentially small splitting: a direct approach
- Toward a theory of rank one attractors
- High-order Melnikov method for time-periodic equations
- Chaos prediction in the Duffing-type system with friction using Melnikov's function
- High order Melnikov method: theory and application
- RANK ONE CHAOS: THEORY AND APPLICATIONS
- A nonlinear oscillator with a strange attractor
- MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS
- Higher-order Melnikov theory for adiabatic systems
- Differentiable dynamical systems
