A YING–YANG THEORY IN NONLINEAR DISCRETE DYNAMICAL SYSTEMS
DOI10.1142/S0218127410026332zbMath1193.37024OpenAlexW2031466593MaRDI QIDQ3586834
Publication date: 1 September 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127410026332
hidden dynamicsnegative iterationspositive iterationsunstable period-doubling bifurcationunstable saddle-node bifurcationYing-Yang
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Related Items (2)
Cites Work
- Chaotic behavior in the Henon mapping
- On the Henon transformation
- Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps
- Bifurcation to infinitely many sinks
- Rigorous numerical models for the dynamics of complex Hénon mappings on their chain recurrent sets
- Compound windows of the Hénon-map
- Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
- Period doubling bifurcations for families of maps on \(R^ n\)
- A two-dimensional mapping with a strange attractor
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Regular and chaotic dynamics.
- Period doubling and multifractals in 1-D iterative maps
- Quantitative universality for a class of nonlinear transformations
- The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation
- Topological horseshoe and numerically observed chaotic behaviour in the Henon mapping
- Simple mathematical models with very complicated dynamics
- Small denominators. I. Mappings of the circumference onto itself
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