Asymptotic stability of robust heteroclinic networks
From MaRDI portal
Publication:5112208
DOI10.1088/1361-6544/ab6817zbMath1443.37023arXiv1905.06419OpenAlexW2945461580MaRDI QIDQ5112208
Sofia B. S. D. Castro, Isabel Salgado Labouriau, Olga M. Podvigina
Publication date: 28 May 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.06419
Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Symmetries and invariants of dynamical systems (37C79)
Related Items
Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock, Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock, Stability of heteroclinic cycles: a new approach based on a replicator equation, Finite switching near heteroclinic networks, Behaviour of trajectories near a two-cycle heteroclinic network
Cites Work
- Unnamed Item
- Asymptotic stability of pseudo-simple heteroclinic cycles in \(\mathbb R^4\)
- Graph theory applications
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- The heteroclinic cycle in the model of competition between \(n\) species and its stability
- Asymptotic analysis of interactions between highly conducting cylinders
- Pseudo-simple heteroclinic cycles in \(\mathbb{R}^4\)
- The symmetry perspective. From equilibrium to chaos in phase space and physical space
- Almost complete and equable heteroclinic networks
- Heteroclinic networks in homogeneous and heterogeneous identical cell systems
- Stability of heteroclinic cycles in transverse bifurcations
- On designing heteroclinic networks from graphs
- Two-dimensional heteroclinic attractor in the generalized Lotka–Volterra system
- Stability and bifurcations of heteroclinic cycles of type Z
- Construction of heteroclinic networks in ${{\mathbb{R}}^{4}}$
- Patterns of desynchronization and resynchronization in heteroclinic networks
- A new mechanism for stability loss from a heteroclinic cycle
- Structurally stable heteroclinic cycles
- Heteroclinic networks on the tetrahedron
- A competition between heteroclinic cycles
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- Sampling best response dynamics and deterministic equilibrium selection
- Stability of quasi-simple heteroclinic cycles
- Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection
- Asymptotic stability of heteroclinic cycles in systems with symmetry. II
- Resonance Bifurcations of Robust Heteroclinic Networks
- Classification and stability of simple homoclinic cycles in ${\mathbb R}^5$
- Simple heteroclinic networks in $ \newcommand{\R}{{{\mathbb R}}} \R^4$
- Simple heteroclinic cycles in ${\mathbb R}^4$
- Differential Dynamical Systems, Revised Edition
- Regular and irregular cycling near a heteroclinic network
