Oscillation types, multistability, and basins of attractors in symmetrically coupled period-doubling systems
From MaRDI portal
Publication:1419168
DOI10.1016/S0960-0779(02)00171-6zbMath1031.70012OpenAlexW2111504149MaRDI QIDQ1419168
M. D. Prokhorov, Ye. P. Seleznev, Boris P. Bezruchko
Publication date: 14 January 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00171-6
period-doubling bifurcationsbasins of attractionlogistic mapscoupled nonlinear oscillator systemsmultistable states
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)
Related Items
Dynamic behaviors of a symmetrically coupled period-doubling system ⋮ Controlling phase multistability in coupled period-doubling oscillators ⋮ Fractal principles of multidimensional data structurization for real-time pulse system dynamics forecasting and identification ⋮ Fractal regularities of sub-harmonic motions perspective for pulse dynamics monitoring ⋮ On-line identification of multidimensional parametric vector random variation of pulse system ⋮ Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse
Cites Work
- Unnamed Item
- Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model
- Some global properties of a pair of coupled maps: Quasi-symmetry, periodicity, and synchronicity
- Chaos synchronization and riddled basins in two coupled one-dimensional maps
- Unfolding of the riddling bifurcation
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
- Similarity Structure and Scaling Property of the Period-Adding Phenomena
- Symmetry breaking bifurcation for coupled chaotic attractors
- BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
- UNIVERSAL BEHAVIOR OF COUPLED NONLINEAR OSCILLATORS
- From synchronization to multistability in two coupled quadratic maps
