Local birth of homoclinic chaos
DOI10.1016/0167-2789(93)90276-7zbMath0786.34051OpenAlexW2088254080MaRDI QIDQ1312481
Publication date: 31 January 1994
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(93)90276-7
codimension-two bifurcationquasiperiodic regimesRössler modelShilnikov homoclinic orbitlocal generation of chaotic behavioursnon-axisymmetric perturbations of the normal form
Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Nonlinear dynamics and turbulence
- What can we learn from homoclinic orbits in chaotic dynamics ?
- Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Infinite Period Bifurcation and Global Bifurcation Branches
- Bifurcation to Quasi-Periodic Tori in the Interaction of Steady State and Hopf Bifurcations
- Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension
- Roads to turbulence in dissipative dynamical systems
- Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equation
- Interaction of Steady and Periodic Bifurcating Modes with Imperfection Effects in Reaction-Diffusion Systems
This page was built for publication: Local birth of homoclinic chaos